From 3bf5a2837e4f992ec3cc93a9e35a94a4634a45b1 Mon Sep 17 00:00:00 2001
From: pancetta <pancetta@users.noreply.github.com>
Date: Tue, 26 Dec 2023 13:31:31 +0000
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 genindex.html                                 |  28 +-
 objects.inv                                   | Bin 14951 -> 15003 bytes
 projects/Hamiltonian.html                     |   2 +-
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 ....HeatEquation_1D_FEniCS_matrix_forced.html | 196 +++++++-
 pySDC/implementations.problem_classes.html    |   1 +
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 tutorial/doc_step_2_C.html                    |  60 +--
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 tutorial/step_8.html                          |  12 +-
 315 files changed, 1619 insertions(+), 1020 deletions(-)

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diff --git a/.doctrees/projects/doc_fput.doctree b/.doctrees/projects/doc_fput.doctree
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delta 41
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diff --git a/.doctrees/pySDC/implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.doctree b/.doctrees/pySDC/implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.doctree
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AdjJ3c

delta 7018
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diff --git a/.doctrees/tutorial/doc_step_2_C.doctree b/.doctrees/tutorial/doc_step_2_C.doctree
index fc4c6c79f74e881d9e1b4c84e5915882fab1d53c..33171fb794376662267d27bb816259aba1dac7bd 100644
GIT binary patch
delta 1246
zcmeH_y-or_6orEokp>zKKP#Q0uClW`3%jd?P#H9WSq(~TcmfkEDU4wY3Jas*^zsTO
zG!~ZB_z1?wu)>*HaIe;ul=J1BbARUc$Fcr6_HvU+Sf1&4%+_6pqgv5M!_37Jfwq8K
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hXeyP9$fMgn!-}^W{paG=Jhr&C0RMk$qi*{l{tba;S9SmZ

delta 1234
zcmeH{F;Buk6vu-Tv5PDku@xsJTIG7}U9XLVI2kp9sRku3egan+G@%27gVFGI`3fdo
z92}Y9Bd8z43Gc2-pUjSo{pI(6dGF<2yMtVJkbAi)8Z=~n==e4h9BNf7=@&2Nrr;*n
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V$*0C=SN8MM;p{)IENQnM^53r!R(1dY

diff --git a/.doctrees/tutorial/doc_step_3_B.doctree b/.doctrees/tutorial/doc_step_3_B.doctree
index 3a9a9c1bdade2eeb6efbc81e71b17b3656de6d34..e2cc848a45fcee9972cfd2a62859be6f9dc442d9 100644
GIT binary patch
delta 656
zcmaF8mhtsk#tq`i+{RW$7FLF4I>r_zn}1uBG9e30uC}g0;dAS2Z`QT>#f~PZGda$s
z8chs|Z)q@jqW%tqyrmhC-#B@ln>iQEb`yii6ZD%V&oDHHD>E@L2P=y<LJ~7H0*lER
zBWX39{Lx%t@&^5+$-6v}lo}a>mDYM8i&=uj9K4alj7`8|T4qRMK<7-<Z<zeX%mU#;
mlgW+Vjg!}#TX4c1z4(JUBiy~C0Z4iPPX1v2a`PrXOAY{UYPY8V

delta 656
zcmaF8mhtsk#tq`i+(uTW=2nL0I+hlun}1uBG9e30uC}g0;dAS2Z`QT>#f~PZGda$s
z8chs|Z)rGrqW%tqyrnsi-#B@ln>kd>LdU?s2rM?k(3}h6B9PeRkLC)KH|Qr#jy6J4
zYG@2rDrbx=W(gMC<%y)-XmX=>)8tw&Bq8I;6ZD%VJ9s1MG&Tk6)G|X7GXXicVe%U@
p3xoqr%)nyn%`G_L4qW`foDt!z(Ex-846y+?`Gfh(&71rzIRJGmxD@~Z

diff --git a/.doctrees/tutorial/doc_step_4_D.doctree b/.doctrees/tutorial/doc_step_4_D.doctree
index 61fa07a9929bdffdb04cdb0552f844b03f86edf8..4b747382ed67128fe02fd6b31ff290aa0712e52f 100644
GIT binary patch
delta 105
zcmZ3~z__S^af6|;hJ}%liJ6I+nS!paf`WpHp0R;}fw6_55sYtXVqj!yZeqCkqNxPa
N<U&&mQgj4z0RaBe7oh+E

delta 119
zcmZ3~z__S^af6|;y19v^fvJV1p@Ocif`WpHo{^!MiIJI^35;)HX<=$+XgqnNvGL^h
UCXt(C%z7Co7n)j-q45|e0QkNh=Kufz

diff --git a/.doctrees/tutorial/doc_step_7_A.doctree b/.doctrees/tutorial/doc_step_7_A.doctree
index cefe78864496b6e9a452ddff784957e56e50b83a..410e5aa5c59c53c4eea44bb09850c5c64624fb97 100644
GIT binary patch
delta 1221
zcmdlzoAK;AM%D(_sZQY=S@~I+)=O^|V-;d_*WgkBg0$4U%;e(ujMT)E_}s+eVjXl*
z3<0pR_>#=r)TCq`F3rgoSY<Y!lb7I~{6R>>2O_L)1vUj_zOsUIVxB@~UUE@tVsWZM
zNd^$-=cE=T<|U^pWTY0Q>L{cZ73CKdD<l>H1v1ltVhV|QmF0<*lO2WhS+#5xj0}J*
zvB~nnvOLIkg9Z2NC`_(rW8HjTN1A=IvbG4bLVnTYcpU{XkljG<q!yKc%vZ3nRWQ^u
zG?{$BM8g0i1p=u##i<B~f<#a?80#6Crs^7)Pv$pS#{$*;jSb?%$pSK~VayMvA)Bws
ztY#bySx^{)0Chul3FGGH<^hZ>GdLI+Ca<-Y++1rf!N_E6vN_Mnlu_2y$V{O)HCc~~
zD=e`nGcm730hElP>2tETrKuP&9!<=RP0fr9O-&6A%?!=V!LhpEK8VqHvVye%kPNgo
z-~q<4fr73sFr5GsT%xNm8<1gUWWM>lqbVbcv6-pi=KD6rjIzcC7I^I2Yi$Cz&(PG|
z#N5o-)RJiXER9S}CZBgS-t1w=$|!DbVQ31qYDxxs?34__h!GY9%)lVnT<Pk>0RR}*
BW|#l~

delta 357
zcmX@Rj&b*FM%D(_sT+JZvhuSsB}#6-s362Bo0giFnOq#7k(yW%pPN`*tfPP=GWi0l
z%;s)33Es^+L`2vppRwR$HqkSje9uB-a)3n_kZk~Df18|O$vIiZDichfu@c_=z-log
zX9j!hlnlWL+S>D(iAk1ibETUxBa?yYWJd>)$pzk=n@_t-Fftn&m~L)xG-YHlGBz}r
vyxv`AbEUU9P}t0T^95fEMo}{pb5n)l)MPy_t|?Hrl4%q((5TJa{!SbK2K01E

diff --git a/.doctrees/tutorial/doc_step_7_B.doctree b/.doctrees/tutorial/doc_step_7_B.doctree
index 06546be230bac9b3ab1d58e82d2332b20d4e8511..c99c2894aabe4be593a99cafe98224234a773f69 100644
GIT binary patch
delta 153
zcmcc7!+4{Ial=~!79(>@i_ISm^cYzT42(@DH=1ZKZm?uzF*3F^192udSZYnaX?2ao
r(AdOubEAnKBa^Ac<N#yc%>uT}j4UPw78aYInppugP;QR6og)VTc7-ic

delta 151
zcmcc7!+4{Ial=~!783&_!_6NJ^cYzT4b4p^H=1ZKZm?uzGB%mK(NuSGgQeEwn^xCY
qjEoE|H#eF9RauxC7y(s<O}4hZ!D41;YPk8SnH3`yj1jkU<NyG}S}*PZ

diff --git a/.doctrees/tutorial/doc_step_7_C.doctree b/.doctrees/tutorial/doc_step_7_C.doctree
index 3bbf3b2659760b4ba0f6a27200b496a923148c47..2b4ff84548f576f94cacbcc1475f215a82911ec5 100644
GIT binary patch
delta 132
zcmdlsopIZA#tnYvEEblg=953#Xia|Wz`l9CwGAVip&nGsc=Hd77A7VWQzUr@Mj(Il
oN1I;8&HL<`8JP?%fRdV%*VqefuCs&jL59iVkvHDl<ZQwL0DOBd2><{9

delta 130
zcmdlsopIZA#tnYvES3hAhLb<qXia|Wz`l9CwGAVip&nGsc=Hd77A7VO6C`;DMj(Il
uN1I;8&HL<`8JR2%fRdV%*VqefuCrriWVD?8!A2WsmMm^*lg&-eCL91E4=$Mi

diff --git a/.doctrees/tutorial/doc_step_8_C.doctree b/.doctrees/tutorial/doc_step_8_C.doctree
index cd192bdc9eccc03e8235b08297ca66cb05ae9af2..e9be411a7851a8d6cfaa774cdf4ce7c3ee5c69df 100644
GIT binary patch
delta 318
zcmd6hF$%&k6oyNT(5VFxC!t3$N#Dy$Jc*O7qj-Q$iUpyY2*FXjf;QN@IC~IHZs9k6
zeEj^kp51%KkK^m~$%`F-Pm;tf+O^*vDwZn?8W5EYkTtGqYESLJGEoYNQi*`J(iPp{
zAE%n-7Ewr$u@|I_FS^+%vzow=iLoK+t0p+osEA^x1wj~o`T2RnGB5}NVk%3mgI~Gt
MKK;X6{&QKTKXJcUT>t<8

delta 329
zcmbQgiD~X8CYA=)sX`lB<g;0B2r)2BHfW67oK+Xk#BXe9VPtA)XlP(yU}$7)Hd(Pf
zVY5Z!HYQ#pGjl@&QzM|bfrU9xc-!W)g$YdjW)?=qmgdHmKwxBMWU^VYU5uH}*uvP%
z)EuN1XpRw3apL4ty&;=_btN+Knwppc^#GMyn3)+&R%lP!e5!XV6Q6;Rv9Srra06p=
VOJksxh)H!EgVt@EpH8si003MpU<d#J

diff --git a/.doctrees/tutorial/step_2.doctree b/.doctrees/tutorial/step_2.doctree
index 091e3115ab5077f4da69a475a2bbc4ef3569d9d9..8f26c53f02c506fe87fe8635f08fca96f6c0e169 100644
GIT binary patch
delta 1258
zcmeH{ze@sf7{(!&up*j5)NU`qyYo)(bkQY<mWYOiz(1fu+$-+phJ<GqoRU(p%u*=H
zIq)Pw!EklzZ?L}iJ?-9TZgafP_j#W82QN47dd6K(^*X;4iOX7CQbW3?Akz-kto-2u
zfhvQWI4bN@R?D=n7Aat&EnM83{bAzm9$`9CZw>cbm$6nhVU=RupDuJ1dM1whK~&0q
zBGtGwJlMeQ=?aX>^7Jhl5=Du>bvm;coAH>Or4gAEk*~&FCOOu`Fo5&BSvh8x6dpNY
zJb6#KonhehBZ%fZ;j*1$Al)PNWIMw^?nS`mgU_ugYe+Rsh;`COMB>aU1+e<)pKgQo
z5n*HOAo--@q)+8eM0h}$A|X4NEtgppg-3ohs3yi3(Wp+@#E@uI$2a-KY@a<g880ew
wmhK7oeD=95N0F_YY-%dCHzA-nI>2^oeY%PH#mz5{{dm}={@caXildhI8}+K3djJ3c

delta 1246
zcmeH_F-yZh6vx3XQWbR)F}2Pr^m1t~NxRs^#YM!yLFgAyin~fOJ1D$8;AGLZRHKrD
z7CQ?~v0$LmwUeKr^>V@FsjFkh`|<lf?)`a#PGZnW)UWI*np3r$tgWj$gHkKyc=q1J
zFSrW(mphm_rPlc*20Xb2r`N}S7`fSwnL(iN>Y}#-^HmGHiiQ~DEOr<n!pZo{uyr^C
zW^Foh842_4cARG<$XhUSC8&B!$TbAF>&TVEe7+~a$t`l_aK@1HjXTVP8791Zq@eMJ
zIHiIYyL$4wO-5mkf8*jg4QKa@@i(Xeg@y&>0ewSJ1oJ8q%s!&A3KRU`9lK#Z<0F=(
zaO9)PvZ~09T<ion<fv3Q`5toAFgN_cbnXQ!>+ueJw}2J9Y506XyRjf|@|{r)jMuON
d<^C>gHW#81<6DdFWPEE;73zQ7np5sKlV5B?l&=5)

diff --git a/.doctrees/tutorial/step_3.doctree b/.doctrees/tutorial/step_3.doctree
index 3ea458d4147454fa750364d41a6d37563e60f864..d561d2a4123cdc775a1d1960a643cb5f66754e81 100644
GIT binary patch
delta 650
zcmaELnEBOV<_#9*+{RW$7FLF4I>r_zn`L@SnUDo0&*`s0;p;SOZ}yw;iyci+XL9|F
zYBVt<zNNwB#`ea^JhRLZYAnsbV&`X>bHQ9-Vla7QbJOIVtq5f%2IgR8HEl>@hDKm9
z`*vh83!vBzxbY@N#$Yw`<{=qxG`XR@X>vy=k~U)#urlv1Br%{f8rvHt^LASxj59F>
ki(Tlp;Doz&v0x7)T*YYUK~j+kv7t9vu;=CG%ZtSA0RsfY@Bjb+

delta 642
zcmaELnEBOV<_#9*+(uTW=2nL0I+hlun`L@SnUDo0&*`s0;p;SOZ}yw;iyci+XL9|F
zYBVt<zNO*h#`ea^JhRLZYAnscV&~yv7CHt7Mw10+@8E*C2*jV<(B3q;rVXYIC}e01
z)@I+1EM^H5+W|EisK&?ytY+RkbA(aGlQ%XuP44JK(q?Q5R_5J>BxV9~X~SgRZVQBQ
mCT3u<3*8o+aF;C>>|sRsWi;e;42TW6$$~vEH(y>PZVv$dm%#)8

diff --git a/.doctrees/tutorial/step_4.doctree b/.doctrees/tutorial/step_4.doctree
index 09d2c0673b33e2305543cbc26ac93a34e79cacea..414f4aa41fa658d2e41771b83d0a31a085e25864 100644
GIT binary patch
delta 105
zcmezRg8AzU<_(EYH7tybOw3Ho%oKEW6%-Uq^o$J*42&%djbMCB69Xeta}&eOj4vdZ
NCNF$$L5hwN9sm!W8p;3w

delta 119
zcmezRg8AzU<_(EY)y+*T4NNU84Ha~C6%-Uq^o$J6OpMITOkjKqOAAvoL*vO0pBhh=
Ve;&EH=S45$<b}^I$k6zb8vv~+C71vJ

diff --git a/.doctrees/tutorial/step_7.doctree b/.doctrees/tutorial/step_7.doctree
index 8645884af5577b399f3b804219d1191195238812..353861cf18897d0000024d99843aa574183598ee 100644
GIT binary patch
delta 1340
zcmeHFO-NKx6rMZtX4FZX&~ePHxYi=gnd#m4-hJ<lQj6@@(j-i35yNYE^#*cA-xE}V
zes&>4L`T7_Y|~Cq<F*W<O+=e=Q!PTK2t*>MS{Mrb+!-sRAc}U;fy+JjyC2`V=X`f&
z(X*HleCNEw0T;UE`&1!J*0@|S|F9Y^Mn3GR^J5+-%v3Vr#4Xe4jdvN26aEqX2`JFw
zy~!@~cp~hthaPJkOx@nV(v?f4kgW|KSiaiaSWwE>*o2#n6i%iRwrMyf?zQ+zpE7MD
zl`yeo+GZG=ww<;eY}gz~p5z!dQUiU)0Fc_P-Ywg(B=Rf-fsN}+SJp3plT8@Xm0tF!
zsip`j8iO93w&5TLolGTCV5+$eR`(Z!)n5*MnX+OzDp4~cYVdi-gg~Ms&sgv+Kl*aR
z_}2`wJ3H9@hH><NXn#Dkn+W1BOIUXIQ6!8M^Dj5qQq9h`twC;CVcq*E@=!^I>Gt5a
zS-0+`A#RJJ$yAjHrG%(N)e0uvYdZv&t`a1}$5wF_w@bv42qsYp(0tIxcU98ZbUQ_Y
ztWv^W?3a;87WI|tcUzS2>V#^Frph$-d+ITXDqKotEv;TurRjuX$4o^1{voUA*pL-E
z@(;D=;q9^09aY-}NsH<1!IdZyL{X+}X|w?ek{nZEY4k9hx%NaLvO-~StP>`#KNF}f
zDr|6!vlUU-+2BYcXa9}Dog2@033`lbEH~GMxW|P&FgxRRE0kkBi0=@XmD%v?^9Z_M
wg`w=-Q#a8$Ru7Ngmb1_s56Yi&a|ANE(61<YnYHgzLdkHa&s7L^VWHFa1@4Eu5dZ)H

delta 599
zcmey_!*cH@Gg|}e)XRSuHnRN_W=fRYd{AGAQ8q0#FEhC~J|i`;BtAE>xL8L4No4W?
z5t+@^q7uBDS160HPu}Cs$84f!IQg8r#$*TgE+E?g$o@7tz=Lx#k7p*B-s35}`GV(S
zM$QcO*eMxe5wx|3m6=JFZF6;~F(Z?K>E;b#ri{#n2Bwog28nF8id1A|F)}tZn7lCz
z=!qzCMkYhE$&CRfn^|L78AZ)Z%uN-FQ<L?$xTZjzN}fr~K$AA}#);dpm>3utZjM^4
z$H-!6Xl}B(XNfi=i?NA;$>g3Tp_2ucU1KpaGPIm5vm$J=!}1#}7N!P9n`Kr2Rht=_
z8g7<ZWW`9C34SZ@xUyIpSQ>6_{G7|kW~c{dFZ^(iiOIqQC|1Y_q$e-@V7yuVYa`?4
z7vGr~nJf)}0-BSreHYri;u|v~qvhm=&qkBweu`n0X0kK|>tFLbk7cVeV;CC%6)etO

diff --git a/.doctrees/tutorial/step_8.doctree b/.doctrees/tutorial/step_8.doctree
index 06a20ed36546eaf0559caad0e43bddedf394dadd..a8821bafbdc29924b3111ffe4a3764251099eb66 100644
GIT binary patch
delta 319
zcmeykk>&G77M2FqsjoJ&Xgz1Vxmo}D0VX~pOA|8_Q&S^LATYO_UdYLqxH<0CHYPp;
zV*^7|Ln8wqFtaq=toT-pna|SH)WFch5Tw??+z6yNX?r&_<5ng<OEYs53v&yQY72A2
z$%=0ix36adNtm0N8kw7ebeI{Kn}8%XzyG$CiPyx!)WpC9q~6fjZ1TfDk(^U9*kh+;
Qh(!!Ghi!ky!^q4703EYnjsO4v

delta 341
zcmeyok>%q?7M2FqsV_FNXgz1Vv04B50VaN9LklBQOG85g0|P@NW3%Z2Y>Ww;<6doJ
z;x#feH#9Ic0!kQIn1jR<r}r{5hHl-<n83tuW?^J(X>M!@1V&~?CSd99K<TYae8v{W
zW~SyKeLzEvwgWYaG4q+4m;<!{Ra=;u8CZanZ{4oR#hA#%XJBM(Yyz^xz}Vc<7$g(H
WIVFQVc1ng=#2|L#_76Oa%sc>~;aDmF

diff --git a/_images/timings_SDC_variants_Fisher.png b/_images/timings_SDC_variants_Fisher.png
index f9a1ec00356b8e9bb899cda35f9605e53c7ece69..0732e8cb6b338168bdded2dc0bcff12c67b6ebe6 100644
GIT binary patch
literal 9933
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diff --git a/_modules/implementations/problem_classes/HeatEquation_1D_FEniCS_matrix_forced.html b/_modules/implementations/problem_classes/HeatEquation_1D_FEniCS_matrix_forced.html
index 2429e990f7..4013ab75f4 100644
--- a/_modules/implementations/problem_classes/HeatEquation_1D_FEniCS_matrix_forced.html
+++ b/_modules/implementations/problem_classes/HeatEquation_1D_FEniCS_matrix_forced.html
@@ -59,7 +59,7 @@ <h1>Source code for implementations.problem_classes.HeatEquation_1D_FEniCS_matri
 <span class="sd">    for :math:`x \in \Omega:=[0,1]`, where the forcing term :math:`f` is defined by</span>
 
 <span class="sd">    .. math::</span>
-<span class="sd">        f(x, t) = -\cos(\pi x) (\sin(t) - \nu \pi^2 \cos(t)).</span>
+<span class="sd">        f(x, t) = -\sin(\pi x) (\sin(t) - \nu \pi^2 \cos(t)).</span>
 
 <span class="sd">    For initial conditions with constant c and</span>
 
@@ -367,12 +367,17 @@ <h1>Source code for implementations.problem_classes.HeatEquation_1D_FEniCS_matri
 <span class="sd">    for :math:`x \in \Omega:=[0,1]`, where the forcing term :math:`f` is defined by</span>
 
 <span class="sd">    .. math::</span>
-<span class="sd">        f(x, t) = -\cos(\pi x) (\sin(t) - \nu \pi^2 \cos(t)).</span>
+<span class="sd">        f(x, t) = -\sin(\pi x) (\sin(t) - \nu \pi^2 \cos(t)).</span>
 
-<span class="sd">    The exact solution of the problem is</span>
+<span class="sd">    For initial conditions with constant c and</span>
 
 <span class="sd">    .. math::</span>
-<span class="sd">        u(x, t) = \cos(\pi x)\cos(t).</span>
+<span class="sd">        u(x, 0) = \sin(\pi x) + c</span>
+
+<span class="sd">    the exact solution of the problem is given by</span>
+
+<span class="sd">    .. math::</span>
+<span class="sd">        u(x, t) = \sin(\pi x)\cos(t) + c.</span>
 
 <span class="sd">    In this class the problem is implemented in the way that the spatial part is solved using ``FEniCS`` [1]_. Hence, the problem</span>
 <span class="sd">    is reformulated to the *weak formulation*</span>
@@ -512,6 +517,166 @@ <h1>Source code for implementations.problem_classes.HeatEquation_1D_FEniCS_matri
         <span class="k">return</span> <span class="kc">None</span></div>
 </div>
 
+
+
+<span class="c1"># noinspection PyUnusedLocal</span>
+<div class="viewcode-block" id="fenics_heat_mass_timebc">
+<a class="viewcode-back" href="../../../pySDC/implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.html#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass_timebc">[docs]</a>
+<span class="k">class</span> <span class="nc">fenics_heat_mass_timebc</span><span class="p">(</span><span class="n">fenics_heat_mass</span><span class="p">):</span>
+<span class="w">    </span><span class="sa">r</span><span class="sd">&quot;&quot;&quot;</span>
+<span class="sd">    Example implementing the forced one-dimensional heat equation with time-dependent Dirichlet boundary conditions</span>
+
+<span class="sd">    .. math::</span>
+<span class="sd">        \frac{d u}{d t} = \nu \frac{d^2 u}{d x^2} + f</span>
+
+<span class="sd">    for :math:`x \in \Omega:=[0,1]`, where the forcing term :math:`f` is defined by</span>
+
+<span class="sd">    .. math::</span>
+<span class="sd">        f(x, t) = -\cos(\pi x) (\sin(t) - \nu \pi^2 \cos(t)).</span>
+
+<span class="sd">    and the boundary conditions are given by</span>
+
+<span class="sd">    .. math::</span>
+<span class="sd">        u(x, t) = \cos(\pi x)\cos(t).</span>
+
+<span class="sd">    The exact solution of the problem is given by</span>
+
+<span class="sd">    .. math::</span>
+<span class="sd">        u(x, t) = \cos(\pi x)\cos(t) + c.</span>
+
+<span class="sd">    In this class the problem is implemented in the way that the spatial part is solved using ``FEniCS`` [1]_. Hence, the problem</span>
+<span class="sd">    is reformulated to the *weak formulation*</span>
+
+<span class="sd">    .. math:</span>
+<span class="sd">        \int_\Omega u_t v\,dx = - \nu \int_\Omega \nabla u \nabla v\,dx + \int_\Omega f v\,dx.</span>
+
+<span class="sd">    The forcing term is treated explicitly, and is expressed via the mass matrix resulting from the left-hand side term</span>
+<span class="sd">    :math:`\int_\Omega u_t v\,dx`, and the other part will be treated in an implicit way.</span>
+
+<span class="sd">    Parameters</span>
+<span class="sd">    ----------</span>
+<span class="sd">    c_nvars : int, optional</span>
+<span class="sd">        Spatial resolution, i.e., numbers of degrees of freedom in space.</span>
+<span class="sd">    t0 : float, optional</span>
+<span class="sd">        Starting time.</span>
+<span class="sd">    family : str, optional</span>
+<span class="sd">        Indicates the family of elements used to create the function space</span>
+<span class="sd">        for the trail and test functions. The default is ``&#39;CG&#39;``, which are the class</span>
+<span class="sd">        of Continuous Galerkin, a *synonym* for the Lagrange family of elements, see [2]_.</span>
+<span class="sd">    order : int, optional</span>
+<span class="sd">        Defines the order of the elements in the function space.</span>
+<span class="sd">    refinements : int, optional</span>
+<span class="sd">        Denotes the refinement of the mesh. ``refinements=2`` refines the mesh by factor :math:`2`.</span>
+<span class="sd">    nu : float, optional</span>
+<span class="sd">        Diffusion coefficient :math:`\nu`.</span>
+
+<span class="sd">    Attributes</span>
+<span class="sd">    ----------</span>
+<span class="sd">    V : FunctionSpace</span>
+<span class="sd">        Defines the function space of the trial and test functions.</span>
+<span class="sd">    M : scalar, vector, matrix or higher rank tensor</span>
+<span class="sd">        Denotes the expression :math:`\int_\Omega u_t v\,dx`.</span>
+<span class="sd">    K : scalar, vector, matrix or higher rank tensor</span>
+<span class="sd">        Denotes the expression :math:`- \nu \int_\Omega \nabla u \nabla v\,dx`.</span>
+<span class="sd">    g : Expression</span>
+<span class="sd">        The forcing term :math:`f` in the heat equation.</span>
+<span class="sd">    bc : DirichletBC</span>
+<span class="sd">        Denotes the time-dependent Dirichlet boundary conditions.</span>
+<span class="sd">    bc_hom : DirichletBC</span>
+<span class="sd">        Denotes the homogeneous Dirichlet boundary conditions, potentially required for fixing the residual</span>
+<span class="sd">    fix_bc_for_residual: boolean</span>
+<span class="sd">        flag to indicate that the residual requires special treatment due to boundary conditions</span>
+
+<span class="sd">    References</span>
+<span class="sd">    ----------</span>
+<span class="sd">    .. [1] The FEniCS Project Version 1.5. M. S. Alnaes, J. Blechta, J. Hake, A. Johansson, B. Kehlet, A. Logg,</span>
+<span class="sd">        C. Richardson, J. Ring, M. E. Rognes, G. N. Wells. Archive of Numerical Software (2015).</span>
+<span class="sd">    .. [2] Automated Solution of Differential Equations by the Finite Element Method. A. Logg, K.-A. Mardal, G. N.</span>
+<span class="sd">        Wells and others. Springer (2012).</span>
+<span class="sd">    &quot;&quot;&quot;</span>
+
+    <span class="k">def</span> <span class="fm">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">c_nvars</span><span class="o">=</span><span class="mi">128</span><span class="p">,</span> <span class="n">t0</span><span class="o">=</span><span class="mf">0.0</span><span class="p">,</span> <span class="n">family</span><span class="o">=</span><span class="s1">&#39;CG&#39;</span><span class="p">,</span> <span class="n">order</span><span class="o">=</span><span class="mi">4</span><span class="p">,</span> <span class="n">refinements</span><span class="o">=</span><span class="mi">1</span><span class="p">,</span> <span class="n">nu</span><span class="o">=</span><span class="mf">0.1</span><span class="p">,</span> <span class="n">c</span><span class="o">=</span><span class="mf">0.0</span><span class="p">):</span>
+<span class="w">        </span><span class="sd">&quot;&quot;&quot;Initialization routine&quot;&quot;&quot;</span>
+
+        <span class="c1"># define the Dirichlet boundary</span>
+        <span class="k">def</span> <span class="nf">Boundary</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">on_boundary</span><span class="p">):</span>
+            <span class="k">return</span> <span class="n">on_boundary</span>
+
+        <span class="nb">super</span><span class="p">()</span><span class="o">.</span><span class="fm">__init__</span><span class="p">(</span><span class="n">c_nvars</span><span class="p">,</span> <span class="n">t0</span><span class="p">,</span> <span class="n">family</span><span class="p">,</span> <span class="n">order</span><span class="p">,</span> <span class="n">refinements</span><span class="p">,</span> <span class="n">nu</span><span class="p">,</span> <span class="n">c</span><span class="p">)</span>
+
+        <span class="bp">self</span><span class="o">.</span><span class="n">u_D</span> <span class="o">=</span> <span class="n">df</span><span class="o">.</span><span class="n">Expression</span><span class="p">(</span><span class="s1">&#39;cos(a*x[0]) * cos(t) + c&#39;</span><span class="p">,</span> <span class="n">c</span><span class="o">=</span><span class="bp">self</span><span class="o">.</span><span class="n">c</span><span class="p">,</span> <span class="n">a</span><span class="o">=</span><span class="n">np</span><span class="o">.</span><span class="n">pi</span><span class="p">,</span> <span class="n">t</span><span class="o">=</span><span class="n">t0</span><span class="p">,</span> <span class="n">degree</span><span class="o">=</span><span class="bp">self</span><span class="o">.</span><span class="n">order</span><span class="p">)</span>
+        <span class="bp">self</span><span class="o">.</span><span class="n">bc</span> <span class="o">=</span> <span class="n">df</span><span class="o">.</span><span class="n">DirichletBC</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">V</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">u_D</span><span class="p">,</span> <span class="n">Boundary</span><span class="p">)</span>
+        <span class="bp">self</span><span class="o">.</span><span class="n">bc_hom</span> <span class="o">=</span> <span class="n">df</span><span class="o">.</span><span class="n">DirichletBC</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">V</span><span class="p">,</span> <span class="n">df</span><span class="o">.</span><span class="n">Constant</span><span class="p">(</span><span class="mi">0</span><span class="p">),</span> <span class="n">Boundary</span><span class="p">)</span>
+
+        <span class="c1"># set forcing term as expression</span>
+        <span class="bp">self</span><span class="o">.</span><span class="n">g</span> <span class="o">=</span> <span class="n">df</span><span class="o">.</span><span class="n">Expression</span><span class="p">(</span>
+            <span class="s1">&#39;-cos(a*x[0]) * (sin(t) - b*a*a*cos(t))&#39;</span><span class="p">,</span>
+            <span class="n">a</span><span class="o">=</span><span class="n">np</span><span class="o">.</span><span class="n">pi</span><span class="p">,</span>
+            <span class="n">b</span><span class="o">=</span><span class="bp">self</span><span class="o">.</span><span class="n">nu</span><span class="p">,</span>
+            <span class="n">t</span><span class="o">=</span><span class="bp">self</span><span class="o">.</span><span class="n">t0</span><span class="p">,</span>
+            <span class="n">degree</span><span class="o">=</span><span class="bp">self</span><span class="o">.</span><span class="n">order</span><span class="p">,</span>
+        <span class="p">)</span>
+
+<div class="viewcode-block" id="fenics_heat_mass_timebc.solve_system">
+<a class="viewcode-back" href="../../../pySDC/implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.html#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass_timebc.solve_system">[docs]</a>
+    <span class="k">def</span> <span class="nf">solve_system</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">rhs</span><span class="p">,</span> <span class="n">factor</span><span class="p">,</span> <span class="n">u0</span><span class="p">,</span> <span class="n">t</span><span class="p">):</span>
+<span class="w">        </span><span class="sa">r</span><span class="sd">&quot;&quot;&quot;</span>
+<span class="sd">        Dolfin&#39;s linear solver for :math:`(M - factor A) \vec{u} = \vec{rhs}`.</span>
+
+<span class="sd">        Parameters</span>
+<span class="sd">        ----------</span>
+<span class="sd">        rhs : dtype_f</span>
+<span class="sd">            Right-hand side for the nonlinear system.</span>
+<span class="sd">        factor : float</span>
+<span class="sd">            Abbrev. for the node-to-node stepsize (or any other factor required).</span>
+<span class="sd">        u0 : dtype_u</span>
+<span class="sd">            Initial guess for the iterative solver (not used here so far).</span>
+<span class="sd">        t : float</span>
+<span class="sd">            Current time.</span>
+
+<span class="sd">        Returns</span>
+<span class="sd">        -------</span>
+<span class="sd">        u : dtype_u</span>
+<span class="sd">            Solution.</span>
+<span class="sd">        &quot;&quot;&quot;</span>
+
+        <span class="n">u</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">dtype_u</span><span class="p">(</span><span class="n">u0</span><span class="p">)</span>
+        <span class="n">T</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">M</span> <span class="o">-</span> <span class="n">factor</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">K</span>
+        <span class="n">b</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">dtype_u</span><span class="p">(</span><span class="n">rhs</span><span class="p">)</span>
+
+        <span class="bp">self</span><span class="o">.</span><span class="n">u_D</span><span class="o">.</span><span class="n">t</span> <span class="o">=</span> <span class="n">t</span>
+
+        <span class="bp">self</span><span class="o">.</span><span class="n">bc</span><span class="o">.</span><span class="n">apply</span><span class="p">(</span><span class="n">T</span><span class="p">,</span> <span class="n">b</span><span class="o">.</span><span class="n">values</span><span class="o">.</span><span class="n">vector</span><span class="p">())</span>
+        <span class="bp">self</span><span class="o">.</span><span class="n">bc</span><span class="o">.</span><span class="n">apply</span><span class="p">(</span><span class="n">b</span><span class="o">.</span><span class="n">values</span><span class="o">.</span><span class="n">vector</span><span class="p">())</span>
+
+        <span class="n">df</span><span class="o">.</span><span class="n">solve</span><span class="p">(</span><span class="n">T</span><span class="p">,</span> <span class="n">u</span><span class="o">.</span><span class="n">values</span><span class="o">.</span><span class="n">vector</span><span class="p">(),</span> <span class="n">b</span><span class="o">.</span><span class="n">values</span><span class="o">.</span><span class="n">vector</span><span class="p">())</span>
+
+        <span class="k">return</span> <span class="n">u</span></div>
+
+
+<div class="viewcode-block" id="fenics_heat_mass_timebc.u_exact">
+<a class="viewcode-back" href="../../../pySDC/implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.html#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass_timebc.u_exact">[docs]</a>
+    <span class="k">def</span> <span class="nf">u_exact</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">t</span><span class="p">):</span>
+<span class="w">        </span><span class="sa">r</span><span class="sd">&quot;&quot;&quot;</span>
+<span class="sd">        Routine to compute the exact solution at time :math:`t`.</span>
+
+<span class="sd">        Parameters</span>
+<span class="sd">        ----------</span>
+<span class="sd">        t : float</span>
+<span class="sd">            Time of the exact solution.</span>
+
+<span class="sd">        Returns</span>
+<span class="sd">        -------</span>
+<span class="sd">        me : dtype_u</span>
+<span class="sd">            Exact solution.</span>
+<span class="sd">        &quot;&quot;&quot;</span>
+
+        <span class="n">u0</span> <span class="o">=</span> <span class="n">df</span><span class="o">.</span><span class="n">Expression</span><span class="p">(</span><span class="s1">&#39;cos(a*x[0]) * cos(t) + c&#39;</span><span class="p">,</span> <span class="n">c</span><span class="o">=</span><span class="bp">self</span><span class="o">.</span><span class="n">c</span><span class="p">,</span> <span class="n">a</span><span class="o">=</span><span class="n">np</span><span class="o">.</span><span class="n">pi</span><span class="p">,</span> <span class="n">t</span><span class="o">=</span><span class="n">t</span><span class="p">,</span> <span class="n">degree</span><span class="o">=</span><span class="bp">self</span><span class="o">.</span><span class="n">order</span><span class="p">)</span>
+        <span class="n">me</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">dtype_u</span><span class="p">(</span><span class="n">df</span><span class="o">.</span><span class="n">interpolate</span><span class="p">(</span><span class="n">u0</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">V</span><span class="p">),</span> <span class="n">val</span><span class="o">=</span><span class="bp">self</span><span class="o">.</span><span class="n">V</span><span class="p">)</span>
+
+        <span class="k">return</span> <span class="n">me</span></div>
+</div>
+
 </pre></div>
 
             <div class="clearer"></div>
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--- a/coverage/d_020efe120a771d8a_fput_py.html
+++ b/coverage/d_020efe120a771d8a_fput_py.html
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+            created at 2023-12-26 13:30 +0000
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+++ b/coverage/d_020efe120a771d8a_hamiltonian_and_energy_output_py.html
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--- a/coverage/d_020efe120a771d8a_hamiltonian_output_py.html
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+            created at 2023-12-26 13:30 +0000
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-            created at 2023-12-26 12:59 +0000
+            created at 2023-12-26 13:30 +0000
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diff --git a/coverage/d_0eb34c630be51b75_DiscontinuousTestDAE_py.html b/coverage/d_0eb34c630be51b75_DiscontinuousTestDAE_py.html
index 96c2faecbb..25e0a432c1 100644
--- a/coverage/d_0eb34c630be51b75_DiscontinuousTestDAE_py.html
+++ b/coverage/d_0eb34c630be51b75_DiscontinuousTestDAE_py.html
@@ -65,7 +65,7 @@ <h2>
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-            created at 2023-12-26 12:59 +0000
+            created at 2023-12-26 13:30 +0000
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             <button type="button" class="button_next_chunk" data-shortcut="j"/>
@@ -268,7 +268,7 @@ <h2>
             <a id="nextFileLink" class="nav" href="d_0eb34c630be51b75_WSCC9BusSystem_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
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-            created at 2023-12-26 12:59 +0000
+            created at 2023-12-26 13:30 +0000
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diff --git a/coverage/d_0eb34c630be51b75_WSCC9BusSystem_py.html b/coverage/d_0eb34c630be51b75_WSCC9BusSystem_py.html
index f8e9becf59..d39e783dfc 100644
--- a/coverage/d_0eb34c630be51b75_WSCC9BusSystem_py.html
+++ b/coverage/d_0eb34c630be51b75_WSCC9BusSystem_py.html
@@ -65,7 +65,7 @@ <h2>
             <a id="nextFileLink" class="nav" href="d_0eb34c630be51b75_simple_DAE_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
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-            created at 2023-12-26 12:59 +0000
+            created at 2023-12-26 13:30 +0000
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         <aside class="hidden">
             <button type="button" class="button_next_chunk" data-shortcut="j"/>
@@ -1314,7 +1314,7 @@ <h2>
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-            created at 2023-12-26 12:59 +0000
+            created at 2023-12-26 13:30 +0000
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diff --git a/coverage/d_0eb34c630be51b75_simple_DAE_py.html b/coverage/d_0eb34c630be51b75_simple_DAE_py.html
index 626bef1440..48c7a0089b 100644
--- a/coverage/d_0eb34c630be51b75_simple_DAE_py.html
+++ b/coverage/d_0eb34c630be51b75_simple_DAE_py.html
@@ -65,7 +65,7 @@ <h2>
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             &nbsp; &nbsp; &nbsp;
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-            created at 2023-12-26 12:59 +0000
+            created at 2023-12-26 13:30 +0000
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         <aside class="hidden">
             <button type="button" class="button_next_chunk" data-shortcut="j"/>
@@ -357,7 +357,7 @@ <h2>
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             &nbsp; &nbsp; &nbsp;
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-            created at 2023-12-26 12:59 +0000
+            created at 2023-12-26 13:30 +0000
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diff --git a/coverage/d_0eb34c630be51b75_synchronous_machine_py.html b/coverage/d_0eb34c630be51b75_synchronous_machine_py.html
index ffea4033a8..eb3fe9021c 100644
--- a/coverage/d_0eb34c630be51b75_synchronous_machine_py.html
+++ b/coverage/d_0eb34c630be51b75_synchronous_machine_py.html
@@ -65,7 +65,7 @@ <h2>
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             &nbsp; &nbsp; &nbsp;
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-            created at 2023-12-26 12:59 +0000
+            created at 2023-12-26 13:30 +0000
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             <button type="button" class="button_next_chunk" data-shortcut="j"/>
@@ -558,7 +558,7 @@ <h2>
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             &nbsp; &nbsp; &nbsp;
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-            created at 2023-12-26 12:59 +0000
+            created at 2023-12-26 13:30 +0000
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diff --git a/coverage/d_0eb34c630be51b75_transistor_amplifier_py.html b/coverage/d_0eb34c630be51b75_transistor_amplifier_py.html
index 5c90b4a704..ad152ca0d0 100644
--- a/coverage/d_0eb34c630be51b75_transistor_amplifier_py.html
+++ b/coverage/d_0eb34c630be51b75_transistor_amplifier_py.html
@@ -65,7 +65,7 @@ <h2>
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-            created at 2023-12-26 12:59 +0000
+            created at 2023-12-26 13:30 +0000
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             <button type="button" class="button_next_chunk" data-shortcut="j"/>
@@ -361,7 +361,7 @@ <h2>
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-            created at 2023-12-26 12:59 +0000
+            created at 2023-12-26 13:30 +0000
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diff --git a/coverage/d_11ffac7f7ab8bb8d_A_pySDC_with_FEniCS_py.html b/coverage/d_11ffac7f7ab8bb8d_A_pySDC_with_FEniCS_py.html
index 177b70d5e7..706da9f6ed 100644
--- a/coverage/d_11ffac7f7ab8bb8d_A_pySDC_with_FEniCS_py.html
+++ b/coverage/d_11ffac7f7ab8bb8d_A_pySDC_with_FEniCS_py.html
@@ -54,8 +54,8 @@ <h1>
             </div>
         </aside>
         <h2>
-            <span class="text">97 statements &nbsp;</span>
-            <button type="button" class="run button_toggle_run" value="run" data-shortcut="r" title="Toggle lines run">97<span class="text"> run</span></button>
+            <span class="text">105 statements &nbsp;</span>
+            <button type="button" class="run button_toggle_run" value="run" data-shortcut="r" title="Toggle lines run">105<span class="text"> run</span></button>
             <button type="button" class="mis show_mis button_toggle_mis" value="mis" data-shortcut="m" title="Toggle lines missing">0<span class="text"> missing</span></button>
             <button type="button" class="exc show_exc button_toggle_exc" value="exc" data-shortcut="x" title="Toggle lines excluded">3<span class="text"> excluded</span></button>
         </h2>
@@ -65,7 +65,7 @@ <h2>
             <a id="nextFileLink" class="nav" href="d_11ffac7f7ab8bb8d_B_pySDC_with_mpi4pyfft_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
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-            created at 2023-12-26 12:59 +0000
+            created at 2023-12-26 13:30 +0000
         </p>
         <aside class="hidden">
             <button type="button" class="button_next_chunk" data-shortcut="j"/>
@@ -86,172 +86,187 @@ <h2>
     <p class="run"><span class="n"><a id="t4" href="#t4">4</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">helpers</span><span class="op">.</span><span class="nam">stats_helper</span> <span class="key">import</span> <span class="nam">get_sorted</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t5" href="#t5">5</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t6" href="#t6">6</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">implementations</span><span class="op">.</span><span class="nam">controller_classes</span><span class="op">.</span><span class="nam">controller_nonMPI</span> <span class="key">import</span> <span class="nam">controller_nonMPI</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t7" href="#t7">7</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">implementations</span><span class="op">.</span><span class="nam">problem_classes</span><span class="op">.</span><span class="nam">HeatEquation_1D_FEniCS_matrix_forced</span> <span class="key">import</span> <span class="nam">fenics_heat_mass</span><span class="op">,</span> <span class="nam">fenics_heat</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t8" href="#t8">8</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">implementations</span><span class="op">.</span><span class="nam">sweeper_classes</span><span class="op">.</span><span class="nam">imex_1st_order_mass</span> <span class="key">import</span> <span class="nam">imex_1st_order_mass</span><span class="op">,</span> <span class="nam">imex_1st_order</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t9" href="#t9">9</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">implementations</span><span class="op">.</span><span class="nam">transfer_classes</span><span class="op">.</span><span class="nam">TransferFenicsMesh</span> <span class="key">import</span> <span class="nam">mesh_to_mesh_fenics</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t10" href="#t10">10</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t11" href="#t11">11</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t12" href="#t12">12</a></span><span class="t"><span class="key">def</span> <span class="nam">setup</span><span class="op">(</span><span class="nam">t0</span><span class="op">=</span><span class="key">None</span><span class="op">,</span> <span class="nam">ml</span><span class="op">=</span><span class="key">None</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t13" href="#t13">13</a></span><span class="t">    <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t14" href="#t14">14</a></span><span class="t"><span class="str">    Helper routine to set up parameters</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t7" href="#t7">7</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">implementations</span><span class="op">.</span><span class="nam">problem_classes</span><span class="op">.</span><span class="nam">HeatEquation_1D_FEniCS_matrix_forced</span> <span class="key">import</span> <span class="op">(</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t8" href="#t8">8</a></span><span class="t">    <span class="nam">fenics_heat_mass</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t9" href="#t9">9</a></span><span class="t">    <span class="nam">fenics_heat</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t10" href="#t10">10</a></span><span class="t">    <span class="nam">fenics_heat_mass_timebc</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t11" href="#t11">11</a></span><span class="t"><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t12" href="#t12">12</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">implementations</span><span class="op">.</span><span class="nam">sweeper_classes</span><span class="op">.</span><span class="nam">imex_1st_order_mass</span> <span class="key">import</span> <span class="nam">imex_1st_order_mass</span><span class="op">,</span> <span class="nam">imex_1st_order</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t13" href="#t13">13</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">implementations</span><span class="op">.</span><span class="nam">transfer_classes</span><span class="op">.</span><span class="nam">TransferFenicsMesh</span> <span class="key">import</span> <span class="nam">mesh_to_mesh_fenics</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t14" href="#t14">14</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t15" href="#t15">15</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t16" href="#t16">16</a></span><span class="t"><span class="str">    Args:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t17" href="#t17">17</a></span><span class="t"><span class="str">        t0 (float): initial time</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t18" href="#t18">18</a></span><span class="t"><span class="str">        ml (bool): use single or multiple levels</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t16" href="#t16">16</a></span><span class="t"><span class="key">def</span> <span class="nam">setup</span><span class="op">(</span><span class="nam">t0</span><span class="op">=</span><span class="key">None</span><span class="op">,</span> <span class="nam">ml</span><span class="op">=</span><span class="key">None</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t17" href="#t17">17</a></span><span class="t">    <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t18" href="#t18">18</a></span><span class="t"><span class="str">    Helper routine to set up parameters</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t19" href="#t19">19</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t20" href="#t20">20</a></span><span class="t"><span class="str">    Returns:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t21" href="#t21">21</a></span><span class="t"><span class="str">        description and controller_params parameter dictionaries</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t22" href="#t22">22</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t20" href="#t20">20</a></span><span class="t"><span class="str">    Args:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t21" href="#t21">21</a></span><span class="t"><span class="str">        t0 (float): initial time</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t22" href="#t22">22</a></span><span class="t"><span class="str">        ml (bool): use single or multiple levels</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t23" href="#t23">23</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t24" href="#t24">24</a></span><span class="t">    <span class="com"># initialize level parameters</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t25" href="#t25">25</a></span><span class="t">    <span class="nam">level_params</span> <span class="op">=</span> <span class="nam">dict</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t26" href="#t26">26</a></span><span class="t">    <span class="nam">level_params</span><span class="op">[</span><span class="str">'restol'</span><span class="op">]</span> <span class="op">=</span> <span class="num">5e-10</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t27" href="#t27">27</a></span><span class="t">    <span class="nam">level_params</span><span class="op">[</span><span class="str">'dt'</span><span class="op">]</span> <span class="op">=</span> <span class="num">0.2</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t28" href="#t28">28</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t29" href="#t29">29</a></span><span class="t">    <span class="com"># initialize step parameters</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t30" href="#t30">30</a></span><span class="t">    <span class="nam">step_params</span> <span class="op">=</span> <span class="nam">dict</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t31" href="#t31">31</a></span><span class="t">    <span class="nam">step_params</span><span class="op">[</span><span class="str">'maxiter'</span><span class="op">]</span> <span class="op">=</span> <span class="num">20</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t24" href="#t24">24</a></span><span class="t"><span class="str">    Returns:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t25" href="#t25">25</a></span><span class="t"><span class="str">        description and controller_params parameter dictionaries</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t26" href="#t26">26</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t27" href="#t27">27</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t28" href="#t28">28</a></span><span class="t">    <span class="com"># initialize level parameters</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t29" href="#t29">29</a></span><span class="t">    <span class="nam">level_params</span> <span class="op">=</span> <span class="nam">dict</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t30" href="#t30">30</a></span><span class="t">    <span class="nam">level_params</span><span class="op">[</span><span class="str">'restol'</span><span class="op">]</span> <span class="op">=</span> <span class="num">5e-10</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t31" href="#t31">31</a></span><span class="t">    <span class="nam">level_params</span><span class="op">[</span><span class="str">'dt'</span><span class="op">]</span> <span class="op">=</span> <span class="num">0.2</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t32" href="#t32">32</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t33" href="#t33">33</a></span><span class="t">    <span class="com"># initialize sweeper parameters</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t34" href="#t34">34</a></span><span class="t">    <span class="nam">sweeper_params</span> <span class="op">=</span> <span class="nam">dict</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t35" href="#t35">35</a></span><span class="t">    <span class="nam">sweeper_params</span><span class="op">[</span><span class="str">'quad_type'</span><span class="op">]</span> <span class="op">=</span> <span class="str">'RADAU-RIGHT'</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t36" href="#t36">36</a></span><span class="t">    <span class="key">if</span> <span class="nam">ml</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t37" href="#t37">37</a></span><span class="t">        <span class="com"># Note that coarsening in the nodes actually HELPS MLSDC to converge (M=1 is exact on the coarse level)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t38" href="#t38">38</a></span><span class="t">        <span class="nam">sweeper_params</span><span class="op">[</span><span class="str">'num_nodes'</span><span class="op">]</span> <span class="op">=</span> <span class="op">[</span><span class="num">3</span><span class="op">,</span> <span class="num">1</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t39" href="#t39">39</a></span><span class="t">    <span class="key">else</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t40" href="#t40">40</a></span><span class="t">        <span class="nam">sweeper_params</span><span class="op">[</span><span class="str">'num_nodes'</span><span class="op">]</span> <span class="op">=</span> <span class="op">[</span><span class="num">3</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t41" href="#t41">41</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t42" href="#t42">42</a></span><span class="t">    <span class="nam">problem_params</span> <span class="op">=</span> <span class="nam">dict</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t43" href="#t43">43</a></span><span class="t">    <span class="nam">problem_params</span><span class="op">[</span><span class="str">'nu'</span><span class="op">]</span> <span class="op">=</span> <span class="num">0.1</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t44" href="#t44">44</a></span><span class="t">    <span class="nam">problem_params</span><span class="op">[</span><span class="str">'t0'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">t0</span>  <span class="com"># ugly, but necessary to set up this ProblemClass</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t45" href="#t45">45</a></span><span class="t">    <span class="nam">problem_params</span><span class="op">[</span><span class="str">'c_nvars'</span><span class="op">]</span> <span class="op">=</span> <span class="op">[</span><span class="num">128</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t46" href="#t46">46</a></span><span class="t">    <span class="nam">problem_params</span><span class="op">[</span><span class="str">'family'</span><span class="op">]</span> <span class="op">=</span> <span class="str">'CG'</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t47" href="#t47">47</a></span><span class="t">    <span class="nam">problem_params</span><span class="op">[</span><span class="str">'c'</span><span class="op">]</span> <span class="op">=</span> <span class="num">1.0</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t48" href="#t48">48</a></span><span class="t">    <span class="key">if</span> <span class="nam">ml</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t49" href="#t49">49</a></span><span class="t">        <span class="com"># We can do rather aggressive coarsening here. As long as we have 1 node on the coarse level, all is "well" (ie.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t50" href="#t50">50</a></span><span class="t">        <span class="com"># MLSDC does not take more iterations than SDC, but also not less). If we just coarsen in the refinement (and</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t51" href="#t51">51</a></span><span class="t">        <span class="com"># not in the nodes and order, the mass inverse approach is way better, ie. halves the number of iterations!</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t52" href="#t52">52</a></span><span class="t">        <span class="nam">problem_params</span><span class="op">[</span><span class="str">'order'</span><span class="op">]</span> <span class="op">=</span> <span class="op">[</span><span class="num">4</span><span class="op">,</span> <span class="num">1</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t53" href="#t53">53</a></span><span class="t">        <span class="nam">problem_params</span><span class="op">[</span><span class="str">'refinements'</span><span class="op">]</span> <span class="op">=</span> <span class="op">[</span><span class="num">1</span><span class="op">,</span> <span class="num">0</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t54" href="#t54">54</a></span><span class="t">    <span class="key">else</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t55" href="#t55">55</a></span><span class="t">        <span class="nam">problem_params</span><span class="op">[</span><span class="str">'order'</span><span class="op">]</span> <span class="op">=</span> <span class="op">[</span><span class="num">4</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t56" href="#t56">56</a></span><span class="t">        <span class="nam">problem_params</span><span class="op">[</span><span class="str">'refinements'</span><span class="op">]</span> <span class="op">=</span> <span class="op">[</span><span class="num">1</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t57" href="#t57">57</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t58" href="#t58">58</a></span><span class="t">    <span class="com"># initialize controller parameters</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t59" href="#t59">59</a></span><span class="t">    <span class="nam">controller_params</span> <span class="op">=</span> <span class="nam">dict</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t60" href="#t60">60</a></span><span class="t">    <span class="nam">controller_params</span><span class="op">[</span><span class="str">'logger_level'</span><span class="op">]</span> <span class="op">=</span> <span class="num">30</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t33" href="#t33">33</a></span><span class="t">    <span class="com"># initialize step parameters</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t34" href="#t34">34</a></span><span class="t">    <span class="nam">step_params</span> <span class="op">=</span> <span class="nam">dict</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t35" href="#t35">35</a></span><span class="t">    <span class="nam">step_params</span><span class="op">[</span><span class="str">'maxiter'</span><span class="op">]</span> <span class="op">=</span> <span class="num">20</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t36" href="#t36">36</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t37" href="#t37">37</a></span><span class="t">    <span class="com"># initialize sweeper parameters</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t38" href="#t38">38</a></span><span class="t">    <span class="nam">sweeper_params</span> <span class="op">=</span> <span class="nam">dict</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t39" href="#t39">39</a></span><span class="t">    <span class="nam">sweeper_params</span><span class="op">[</span><span class="str">'quad_type'</span><span class="op">]</span> <span class="op">=</span> <span class="str">'RADAU-RIGHT'</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t40" href="#t40">40</a></span><span class="t">    <span class="key">if</span> <span class="nam">ml</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t41" href="#t41">41</a></span><span class="t">        <span class="com"># Note that coarsening in the nodes actually HELPS MLSDC to converge (M=1 is exact on the coarse level)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t42" href="#t42">42</a></span><span class="t">        <span class="nam">sweeper_params</span><span class="op">[</span><span class="str">'num_nodes'</span><span class="op">]</span> <span class="op">=</span> <span class="op">[</span><span class="num">3</span><span class="op">,</span> <span class="num">1</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t43" href="#t43">43</a></span><span class="t">    <span class="key">else</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t44" href="#t44">44</a></span><span class="t">        <span class="nam">sweeper_params</span><span class="op">[</span><span class="str">'num_nodes'</span><span class="op">]</span> <span class="op">=</span> <span class="op">[</span><span class="num">3</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t45" href="#t45">45</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t46" href="#t46">46</a></span><span class="t">    <span class="nam">problem_params</span> <span class="op">=</span> <span class="nam">dict</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t47" href="#t47">47</a></span><span class="t">    <span class="nam">problem_params</span><span class="op">[</span><span class="str">'nu'</span><span class="op">]</span> <span class="op">=</span> <span class="num">0.1</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t48" href="#t48">48</a></span><span class="t">    <span class="nam">problem_params</span><span class="op">[</span><span class="str">'t0'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">t0</span>  <span class="com"># ugly, but necessary to set up this ProblemClass</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t49" href="#t49">49</a></span><span class="t">    <span class="nam">problem_params</span><span class="op">[</span><span class="str">'c_nvars'</span><span class="op">]</span> <span class="op">=</span> <span class="op">[</span><span class="num">128</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t50" href="#t50">50</a></span><span class="t">    <span class="nam">problem_params</span><span class="op">[</span><span class="str">'family'</span><span class="op">]</span> <span class="op">=</span> <span class="str">'CG'</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t51" href="#t51">51</a></span><span class="t">    <span class="nam">problem_params</span><span class="op">[</span><span class="str">'c'</span><span class="op">]</span> <span class="op">=</span> <span class="num">1.0</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t52" href="#t52">52</a></span><span class="t">    <span class="key">if</span> <span class="nam">ml</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t53" href="#t53">53</a></span><span class="t">        <span class="com"># We can do rather aggressive coarsening here. As long as we have 1 node on the coarse level, all is "well" (ie.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t54" href="#t54">54</a></span><span class="t">        <span class="com"># MLSDC does not take more iterations than SDC, but also not less). If we just coarsen in the refinement (and</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t55" href="#t55">55</a></span><span class="t">        <span class="com"># not in the nodes and order, the mass inverse approach is way better, ie. halves the number of iterations!</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t56" href="#t56">56</a></span><span class="t">        <span class="nam">problem_params</span><span class="op">[</span><span class="str">'order'</span><span class="op">]</span> <span class="op">=</span> <span class="op">[</span><span class="num">4</span><span class="op">,</span> <span class="num">1</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t57" href="#t57">57</a></span><span class="t">        <span class="nam">problem_params</span><span class="op">[</span><span class="str">'refinements'</span><span class="op">]</span> <span class="op">=</span> <span class="op">[</span><span class="num">1</span><span class="op">,</span> <span class="num">0</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t58" href="#t58">58</a></span><span class="t">    <span class="key">else</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t59" href="#t59">59</a></span><span class="t">        <span class="nam">problem_params</span><span class="op">[</span><span class="str">'order'</span><span class="op">]</span> <span class="op">=</span> <span class="op">[</span><span class="num">4</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t60" href="#t60">60</a></span><span class="t">        <span class="nam">problem_params</span><span class="op">[</span><span class="str">'refinements'</span><span class="op">]</span> <span class="op">=</span> <span class="op">[</span><span class="num">1</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t61" href="#t61">61</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t62" href="#t62">62</a></span><span class="t">    <span class="nam">base_transfer_params</span> <span class="op">=</span> <span class="nam">dict</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t63" href="#t63">63</a></span><span class="t">    <span class="nam">base_transfer_params</span><span class="op">[</span><span class="str">'finter'</span><span class="op">]</span> <span class="op">=</span> <span class="key">True</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t64" href="#t64">64</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t65" href="#t65">65</a></span><span class="t">    <span class="com"># Fill description dictionary for easy hierarchy creation</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t66" href="#t66">66</a></span><span class="t">    <span class="nam">description</span> <span class="op">=</span> <span class="nam">dict</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t67" href="#t67">67</a></span><span class="t">    <span class="nam">description</span><span class="op">[</span><span class="str">'problem_class'</span><span class="op">]</span> <span class="op">=</span> <span class="key">None</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t68" href="#t68">68</a></span><span class="t">    <span class="nam">description</span><span class="op">[</span><span class="str">'problem_params'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">problem_params</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t69" href="#t69">69</a></span><span class="t">    <span class="nam">description</span><span class="op">[</span><span class="str">'sweeper_class'</span><span class="op">]</span> <span class="op">=</span> <span class="key">None</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t70" href="#t70">70</a></span><span class="t">    <span class="nam">description</span><span class="op">[</span><span class="str">'sweeper_params'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">sweeper_params</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t71" href="#t71">71</a></span><span class="t">    <span class="nam">description</span><span class="op">[</span><span class="str">'level_params'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">level_params</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t72" href="#t72">72</a></span><span class="t">    <span class="nam">description</span><span class="op">[</span><span class="str">'step_params'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">step_params</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t73" href="#t73">73</a></span><span class="t">    <span class="nam">description</span><span class="op">[</span><span class="str">'space_transfer_class'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">mesh_to_mesh_fenics</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t74" href="#t74">74</a></span><span class="t">    <span class="nam">description</span><span class="op">[</span><span class="str">'base_transfer_params'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">base_transfer_params</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t75" href="#t75">75</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t76" href="#t76">76</a></span><span class="t">    <span class="key">return</span> <span class="nam">description</span><span class="op">,</span> <span class="nam">controller_params</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t77" href="#t77">77</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t78" href="#t78">78</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t79" href="#t79">79</a></span><span class="t"><span class="key">def</span> <span class="nam">run_variants</span><span class="op">(</span><span class="nam">variant</span><span class="op">=</span><span class="key">None</span><span class="op">,</span> <span class="nam">ml</span><span class="op">=</span><span class="key">None</span><span class="op">,</span> <span class="nam">num_procs</span><span class="op">=</span><span class="key">None</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t80" href="#t80">80</a></span><span class="t">    <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t81" href="#t81">81</a></span><span class="t"><span class="str">    Main routine to run the different implementations of the heat equation with FEniCS</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t62" href="#t62">62</a></span><span class="t">    <span class="com"># initialize controller parameters</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t63" href="#t63">63</a></span><span class="t">    <span class="nam">controller_params</span> <span class="op">=</span> <span class="nam">dict</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t64" href="#t64">64</a></span><span class="t">    <span class="nam">controller_params</span><span class="op">[</span><span class="str">'logger_level'</span><span class="op">]</span> <span class="op">=</span> <span class="num">30</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t65" href="#t65">65</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t66" href="#t66">66</a></span><span class="t">    <span class="nam">base_transfer_params</span> <span class="op">=</span> <span class="nam">dict</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t67" href="#t67">67</a></span><span class="t">    <span class="nam">base_transfer_params</span><span class="op">[</span><span class="str">'finter'</span><span class="op">]</span> <span class="op">=</span> <span class="key">True</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t68" href="#t68">68</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t69" href="#t69">69</a></span><span class="t">    <span class="com"># Fill description dictionary for easy hierarchy creation</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t70" href="#t70">70</a></span><span class="t">    <span class="nam">description</span> <span class="op">=</span> <span class="nam">dict</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t71" href="#t71">71</a></span><span class="t">    <span class="nam">description</span><span class="op">[</span><span class="str">'problem_class'</span><span class="op">]</span> <span class="op">=</span> <span class="key">None</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t72" href="#t72">72</a></span><span class="t">    <span class="nam">description</span><span class="op">[</span><span class="str">'problem_params'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">problem_params</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t73" href="#t73">73</a></span><span class="t">    <span class="nam">description</span><span class="op">[</span><span class="str">'sweeper_class'</span><span class="op">]</span> <span class="op">=</span> <span class="key">None</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t74" href="#t74">74</a></span><span class="t">    <span class="nam">description</span><span class="op">[</span><span class="str">'sweeper_params'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">sweeper_params</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t75" href="#t75">75</a></span><span class="t">    <span class="nam">description</span><span class="op">[</span><span class="str">'level_params'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">level_params</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t76" href="#t76">76</a></span><span class="t">    <span class="nam">description</span><span class="op">[</span><span class="str">'step_params'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">step_params</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t77" href="#t77">77</a></span><span class="t">    <span class="nam">description</span><span class="op">[</span><span class="str">'space_transfer_class'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">mesh_to_mesh_fenics</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t78" href="#t78">78</a></span><span class="t">    <span class="nam">description</span><span class="op">[</span><span class="str">'base_transfer_params'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">base_transfer_params</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t79" href="#t79">79</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t80" href="#t80">80</a></span><span class="t">    <span class="key">return</span> <span class="nam">description</span><span class="op">,</span> <span class="nam">controller_params</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t81" href="#t81">81</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t82" href="#t82">82</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t83" href="#t83">83</a></span><span class="t"><span class="str">    Args:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t84" href="#t84">84</a></span><span class="t"><span class="str">        variant (str): specifies the variant</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t85" href="#t85">85</a></span><span class="t"><span class="str">        ml (bool): use single or multiple levels</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t86" href="#t86">86</a></span><span class="t"><span class="str">        num_procs (int): number of processors in time</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t87" href="#t87">87</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t88" href="#t88">88</a></span><span class="t">    <span class="nam">Tend</span> <span class="op">=</span> <span class="num">1.0</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t89" href="#t89">89</a></span><span class="t">    <span class="nam">t0</span> <span class="op">=</span> <span class="num">0.0</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t90" href="#t90">90</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t91" href="#t91">91</a></span><span class="t">    <span class="nam">description</span><span class="op">,</span> <span class="nam">controller_params</span> <span class="op">=</span> <span class="nam">setup</span><span class="op">(</span><span class="nam">t0</span><span class="op">=</span><span class="nam">t0</span><span class="op">,</span> <span class="nam">ml</span><span class="op">=</span><span class="nam">ml</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t92" href="#t92">92</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t93" href="#t93">93</a></span><span class="t">    <span class="key">if</span> <span class="nam">variant</span> <span class="op">==</span> <span class="str">'mass'</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t94" href="#t94">94</a></span><span class="t">        <span class="com"># Note that we need to reduce the tolerance for the residual here, since otherwise the error will be too high</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t95" href="#t95">95</a></span><span class="t">        <span class="nam">description</span><span class="op">[</span><span class="str">'level_params'</span><span class="op">]</span><span class="op">[</span><span class="str">'restol'</span><span class="op">]</span> <span class="op">/=</span> <span class="num">500</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t96" href="#t96">96</a></span><span class="t">        <span class="nam">description</span><span class="op">[</span><span class="str">'problem_class'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">fenics_heat_mass</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t97" href="#t97">97</a></span><span class="t">        <span class="nam">description</span><span class="op">[</span><span class="str">'sweeper_class'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">imex_1st_order_mass</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t98" href="#t98">98</a></span><span class="t">    <span class="key">elif</span> <span class="nam">variant</span> <span class="op">==</span> <span class="str">'mass_inv'</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t99" href="#t99">99</a></span><span class="t">        <span class="nam">description</span><span class="op">[</span><span class="str">'problem_class'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">fenics_heat</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t100" href="#t100">100</a></span><span class="t">        <span class="nam">description</span><span class="op">[</span><span class="str">'sweeper_class'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">imex_1st_order</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t101" href="#t101">101</a></span><span class="t">    <span class="key">else</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="exc show_exc"><span class="n"><a id="t102" href="#t102">102</a></span><span class="t">        <span class="key">raise</span> <span class="nam">NotImplementedError</span><span class="op">(</span><span class="str">'Variant %s is not implemented'</span> <span class="op">%</span> <span class="nam">variant</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t103" href="#t103">103</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t104" href="#t104">104</a></span><span class="t">    <span class="com"># quickly generate block of steps</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t105" href="#t105">105</a></span><span class="t">    <span class="nam">controller</span> <span class="op">=</span> <span class="nam">controller_nonMPI</span><span class="op">(</span><span class="nam">num_procs</span><span class="op">=</span><span class="nam">num_procs</span><span class="op">,</span> <span class="nam">controller_params</span><span class="op">=</span><span class="nam">controller_params</span><span class="op">,</span> <span class="nam">description</span><span class="op">=</span><span class="nam">description</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t106" href="#t106">106</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t107" href="#t107">107</a></span><span class="t">    <span class="com"># get initial values on finest level</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t108" href="#t108">108</a></span><span class="t">    <span class="nam">P</span> <span class="op">=</span> <span class="nam">controller</span><span class="op">.</span><span class="nam">MS</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">.</span><span class="nam">levels</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">.</span><span class="nam">prob</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t109" href="#t109">109</a></span><span class="t">    <span class="nam">uinit</span> <span class="op">=</span> <span class="nam">P</span><span class="op">.</span><span class="nam">u_exact</span><span class="op">(</span><span class="num">0.0</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t110" href="#t110">110</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t111" href="#t111">111</a></span><span class="t">    <span class="com"># call main function to get things done...</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t112" href="#t112">112</a></span><span class="t">    <span class="nam">uend</span><span class="op">,</span> <span class="nam">stats</span> <span class="op">=</span> <span class="nam">controller</span><span class="op">.</span><span class="nam">run</span><span class="op">(</span><span class="nam">u0</span><span class="op">=</span><span class="nam">uinit</span><span class="op">,</span> <span class="nam">t0</span><span class="op">=</span><span class="nam">t0</span><span class="op">,</span> <span class="nam">Tend</span><span class="op">=</span><span class="nam">Tend</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t113" href="#t113">113</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t114" href="#t114">114</a></span><span class="t">    <span class="com"># compute exact solution and compare</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t115" href="#t115">115</a></span><span class="t">    <span class="nam">uex</span> <span class="op">=</span> <span class="nam">P</span><span class="op">.</span><span class="nam">u_exact</span><span class="op">(</span><span class="nam">Tend</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t116" href="#t116">116</a></span><span class="t">    <span class="nam">err</span> <span class="op">=</span> <span class="nam">abs</span><span class="op">(</span><span class="nam">uex</span> <span class="op">-</span> <span class="nam">uend</span><span class="op">)</span> <span class="op">/</span> <span class="nam">abs</span><span class="op">(</span><span class="nam">uex</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t117" href="#t117">117</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t118" href="#t118">118</a></span><span class="t">    <span class="nam">Path</span><span class="op">(</span><span class="str">"data"</span><span class="op">)</span><span class="op">.</span><span class="nam">mkdir</span><span class="op">(</span><span class="nam">parents</span><span class="op">=</span><span class="key">True</span><span class="op">,</span> <span class="nam">exist_ok</span><span class="op">=</span><span class="key">True</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t119" href="#t119">119</a></span><span class="t">    <span class="nam">f</span> <span class="op">=</span> <span class="nam">open</span><span class="op">(</span><span class="str">'data/step_7_A_out.txt'</span><span class="op">,</span> <span class="str">'a'</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t120" href="#t120">120</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t121" href="#t121">121</a></span><span class="t">    <span class="nam">out</span> <span class="op">=</span> <span class="str">f'Variant {variant} with ml={ml} and num_procs={num_procs} -- error at time {Tend}: {err}'</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t122" href="#t122">122</a></span><span class="t">    <span class="nam">f</span><span class="op">.</span><span class="nam">write</span><span class="op">(</span><span class="nam">out</span> <span class="op">+</span> <span class="str">'\n'</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t123" href="#t123">123</a></span><span class="t">    <span class="nam">print</span><span class="op">(</span><span class="nam">out</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t124" href="#t124">124</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t125" href="#t125">125</a></span><span class="t">    <span class="com"># filter statistics by type (number of iterations)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t126" href="#t126">126</a></span><span class="t">    <span class="nam">iter_counts</span> <span class="op">=</span> <span class="nam">get_sorted</span><span class="op">(</span><span class="nam">stats</span><span class="op">,</span> <span class="nam">type</span><span class="op">=</span><span class="str">'niter'</span><span class="op">,</span> <span class="nam">sortby</span><span class="op">=</span><span class="str">'time'</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t127" href="#t127">127</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t128" href="#t128">128</a></span><span class="t">    <span class="nam">niters</span> <span class="op">=</span> <span class="nam">np</span><span class="op">.</span><span class="nam">array</span><span class="op">(</span><span class="op">[</span><span class="nam">item</span><span class="op">[</span><span class="num">1</span><span class="op">]</span> <span class="key">for</span> <span class="nam">item</span> <span class="key">in</span> <span class="nam">iter_counts</span><span class="op">]</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t129" href="#t129">129</a></span><span class="t">    <span class="nam">out</span> <span class="op">=</span> <span class="str">'   Mean number of iterations: %4.2f'</span> <span class="op">%</span> <span class="nam">np</span><span class="op">.</span><span class="nam">mean</span><span class="op">(</span><span class="nam">niters</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t130" href="#t130">130</a></span><span class="t">    <span class="nam">f</span><span class="op">.</span><span class="nam">write</span><span class="op">(</span><span class="nam">out</span> <span class="op">+</span> <span class="str">'\n'</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t131" href="#t131">131</a></span><span class="t">    <span class="nam">print</span><span class="op">(</span><span class="nam">out</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t132" href="#t132">132</a></span><span class="t">    <span class="nam">out</span> <span class="op">=</span> <span class="str">'   Range of values for number of iterations: %2i '</span> <span class="op">%</span> <span class="nam">np</span><span class="op">.</span><span class="nam">ptp</span><span class="op">(</span><span class="nam">niters</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t133" href="#t133">133</a></span><span class="t">    <span class="nam">f</span><span class="op">.</span><span class="nam">write</span><span class="op">(</span><span class="nam">out</span> <span class="op">+</span> <span class="str">'\n'</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t134" href="#t134">134</a></span><span class="t">    <span class="nam">print</span><span class="op">(</span><span class="nam">out</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t135" href="#t135">135</a></span><span class="t">    <span class="nam">out</span> <span class="op">=</span> <span class="str">'   Position of max/min number of iterations: %2i -- %2i'</span> <span class="op">%</span> <span class="op">(</span><span class="nam">int</span><span class="op">(</span><span class="nam">np</span><span class="op">.</span><span class="nam">argmax</span><span class="op">(</span><span class="nam">niters</span><span class="op">)</span><span class="op">)</span><span class="op">,</span> <span class="nam">int</span><span class="op">(</span><span class="nam">np</span><span class="op">.</span><span class="nam">argmin</span><span class="op">(</span><span class="nam">niters</span><span class="op">)</span><span class="op">)</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t136" href="#t136">136</a></span><span class="t">    <span class="nam">f</span><span class="op">.</span><span class="nam">write</span><span class="op">(</span><span class="nam">out</span> <span class="op">+</span> <span class="str">'\n'</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t137" href="#t137">137</a></span><span class="t">    <span class="nam">print</span><span class="op">(</span><span class="nam">out</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t138" href="#t138">138</a></span><span class="t">    <span class="nam">out</span> <span class="op">=</span> <span class="str">'   Std and var for number of iterations: %4.2f -- %4.2f'</span> <span class="op">%</span> <span class="op">(</span><span class="nam">float</span><span class="op">(</span><span class="nam">np</span><span class="op">.</span><span class="nam">std</span><span class="op">(</span><span class="nam">niters</span><span class="op">)</span><span class="op">)</span><span class="op">,</span> <span class="nam">float</span><span class="op">(</span><span class="nam">np</span><span class="op">.</span><span class="nam">var</span><span class="op">(</span><span class="nam">niters</span><span class="op">)</span><span class="op">)</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t83" href="#t83">83</a></span><span class="t"><span class="key">def</span> <span class="nam">run_variants</span><span class="op">(</span><span class="nam">variant</span><span class="op">=</span><span class="key">None</span><span class="op">,</span> <span class="nam">ml</span><span class="op">=</span><span class="key">None</span><span class="op">,</span> <span class="nam">num_procs</span><span class="op">=</span><span class="key">None</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t84" href="#t84">84</a></span><span class="t">    <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t85" href="#t85">85</a></span><span class="t"><span class="str">    Main routine to run the different implementations of the heat equation with FEniCS</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t86" href="#t86">86</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t87" href="#t87">87</a></span><span class="t"><span class="str">    Args:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t88" href="#t88">88</a></span><span class="t"><span class="str">        variant (str): specifies the variant</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t89" href="#t89">89</a></span><span class="t"><span class="str">        ml (bool): use single or multiple levels</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t90" href="#t90">90</a></span><span class="t"><span class="str">        num_procs (int): number of processors in time</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t91" href="#t91">91</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t92" href="#t92">92</a></span><span class="t">    <span class="nam">Tend</span> <span class="op">=</span> <span class="num">1.0</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t93" href="#t93">93</a></span><span class="t">    <span class="nam">t0</span> <span class="op">=</span> <span class="num">0.0</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t94" href="#t94">94</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t95" href="#t95">95</a></span><span class="t">    <span class="nam">description</span><span class="op">,</span> <span class="nam">controller_params</span> <span class="op">=</span> <span class="nam">setup</span><span class="op">(</span><span class="nam">t0</span><span class="op">=</span><span class="nam">t0</span><span class="op">,</span> <span class="nam">ml</span><span class="op">=</span><span class="nam">ml</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t96" href="#t96">96</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t97" href="#t97">97</a></span><span class="t">    <span class="key">if</span> <span class="nam">variant</span> <span class="op">==</span> <span class="str">'mass'</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t98" href="#t98">98</a></span><span class="t">        <span class="com"># Note that we need to reduce the tolerance for the residual here, since otherwise the error will be too high</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t99" href="#t99">99</a></span><span class="t">        <span class="nam">description</span><span class="op">[</span><span class="str">'level_params'</span><span class="op">]</span><span class="op">[</span><span class="str">'restol'</span><span class="op">]</span> <span class="op">/=</span> <span class="num">500</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t100" href="#t100">100</a></span><span class="t">        <span class="nam">description</span><span class="op">[</span><span class="str">'problem_class'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">fenics_heat_mass</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t101" href="#t101">101</a></span><span class="t">        <span class="nam">description</span><span class="op">[</span><span class="str">'sweeper_class'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">imex_1st_order_mass</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t102" href="#t102">102</a></span><span class="t">    <span class="key">elif</span> <span class="nam">variant</span> <span class="op">==</span> <span class="str">'mass_inv'</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t103" href="#t103">103</a></span><span class="t">        <span class="nam">description</span><span class="op">[</span><span class="str">'problem_class'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">fenics_heat</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t104" href="#t104">104</a></span><span class="t">        <span class="nam">description</span><span class="op">[</span><span class="str">'sweeper_class'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">imex_1st_order</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t105" href="#t105">105</a></span><span class="t">    <span class="key">elif</span> <span class="nam">variant</span> <span class="op">==</span> <span class="str">'mass_timebc'</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t106" href="#t106">106</a></span><span class="t">        <span class="com"># Can increase the tolerance here, errors are higher anyway</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t107" href="#t107">107</a></span><span class="t">        <span class="nam">description</span><span class="op">[</span><span class="str">'level_params'</span><span class="op">]</span><span class="op">[</span><span class="str">'restol'</span><span class="op">]</span> <span class="op">*=</span> <span class="num">20</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t108" href="#t108">108</a></span><span class="t">        <span class="nam">description</span><span class="op">[</span><span class="str">'problem_class'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">fenics_heat_mass_timebc</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t109" href="#t109">109</a></span><span class="t">        <span class="nam">description</span><span class="op">[</span><span class="str">'sweeper_class'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">imex_1st_order_mass</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t110" href="#t110">110</a></span><span class="t">    <span class="key">else</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="exc show_exc"><span class="n"><a id="t111" href="#t111">111</a></span><span class="t">        <span class="key">raise</span> <span class="nam">NotImplementedError</span><span class="op">(</span><span class="str">'Variant %s is not implemented'</span> <span class="op">%</span> <span class="nam">variant</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t112" href="#t112">112</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t113" href="#t113">113</a></span><span class="t">    <span class="com"># quickly generate block of steps</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t114" href="#t114">114</a></span><span class="t">    <span class="nam">controller</span> <span class="op">=</span> <span class="nam">controller_nonMPI</span><span class="op">(</span><span class="nam">num_procs</span><span class="op">=</span><span class="nam">num_procs</span><span class="op">,</span> <span class="nam">controller_params</span><span class="op">=</span><span class="nam">controller_params</span><span class="op">,</span> <span class="nam">description</span><span class="op">=</span><span class="nam">description</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t115" href="#t115">115</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t116" href="#t116">116</a></span><span class="t">    <span class="com"># get initial values on finest level</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t117" href="#t117">117</a></span><span class="t">    <span class="nam">P</span> <span class="op">=</span> <span class="nam">controller</span><span class="op">.</span><span class="nam">MS</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">.</span><span class="nam">levels</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">.</span><span class="nam">prob</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t118" href="#t118">118</a></span><span class="t">    <span class="nam">uinit</span> <span class="op">=</span> <span class="nam">P</span><span class="op">.</span><span class="nam">u_exact</span><span class="op">(</span><span class="num">0.0</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t119" href="#t119">119</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t120" href="#t120">120</a></span><span class="t">    <span class="com"># call main function to get things done...</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t121" href="#t121">121</a></span><span class="t">    <span class="nam">uend</span><span class="op">,</span> <span class="nam">stats</span> <span class="op">=</span> <span class="nam">controller</span><span class="op">.</span><span class="nam">run</span><span class="op">(</span><span class="nam">u0</span><span class="op">=</span><span class="nam">uinit</span><span class="op">,</span> <span class="nam">t0</span><span class="op">=</span><span class="nam">t0</span><span class="op">,</span> <span class="nam">Tend</span><span class="op">=</span><span class="nam">Tend</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t122" href="#t122">122</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t123" href="#t123">123</a></span><span class="t">    <span class="com"># compute exact solution and compare</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t124" href="#t124">124</a></span><span class="t">    <span class="nam">uex</span> <span class="op">=</span> <span class="nam">P</span><span class="op">.</span><span class="nam">u_exact</span><span class="op">(</span><span class="nam">Tend</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t125" href="#t125">125</a></span><span class="t">    <span class="nam">err</span> <span class="op">=</span> <span class="nam">abs</span><span class="op">(</span><span class="nam">uex</span> <span class="op">-</span> <span class="nam">uend</span><span class="op">)</span> <span class="op">/</span> <span class="nam">abs</span><span class="op">(</span><span class="nam">uex</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t126" href="#t126">126</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t127" href="#t127">127</a></span><span class="t">    <span class="nam">Path</span><span class="op">(</span><span class="str">"data"</span><span class="op">)</span><span class="op">.</span><span class="nam">mkdir</span><span class="op">(</span><span class="nam">parents</span><span class="op">=</span><span class="key">True</span><span class="op">,</span> <span class="nam">exist_ok</span><span class="op">=</span><span class="key">True</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t128" href="#t128">128</a></span><span class="t">    <span class="nam">f</span> <span class="op">=</span> <span class="nam">open</span><span class="op">(</span><span class="str">'data/step_7_A_out.txt'</span><span class="op">,</span> <span class="str">'a'</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t129" href="#t129">129</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t130" href="#t130">130</a></span><span class="t">    <span class="nam">out</span> <span class="op">=</span> <span class="str">f'Variant {variant} with ml={ml} and num_procs={num_procs} -- error at time {Tend}: {err}'</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t131" href="#t131">131</a></span><span class="t">    <span class="nam">f</span><span class="op">.</span><span class="nam">write</span><span class="op">(</span><span class="nam">out</span> <span class="op">+</span> <span class="str">'\n'</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t132" href="#t132">132</a></span><span class="t">    <span class="nam">print</span><span class="op">(</span><span class="nam">out</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t133" href="#t133">133</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t134" href="#t134">134</a></span><span class="t">    <span class="com"># filter statistics by type (number of iterations)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t135" href="#t135">135</a></span><span class="t">    <span class="nam">iter_counts</span> <span class="op">=</span> <span class="nam">get_sorted</span><span class="op">(</span><span class="nam">stats</span><span class="op">,</span> <span class="nam">type</span><span class="op">=</span><span class="str">'niter'</span><span class="op">,</span> <span class="nam">sortby</span><span class="op">=</span><span class="str">'time'</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t136" href="#t136">136</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t137" href="#t137">137</a></span><span class="t">    <span class="nam">niters</span> <span class="op">=</span> <span class="nam">np</span><span class="op">.</span><span class="nam">array</span><span class="op">(</span><span class="op">[</span><span class="nam">item</span><span class="op">[</span><span class="num">1</span><span class="op">]</span> <span class="key">for</span> <span class="nam">item</span> <span class="key">in</span> <span class="nam">iter_counts</span><span class="op">]</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t138" href="#t138">138</a></span><span class="t">    <span class="nam">out</span> <span class="op">=</span> <span class="str">'   Mean number of iterations: %4.2f'</span> <span class="op">%</span> <span class="nam">np</span><span class="op">.</span><span class="nam">mean</span><span class="op">(</span><span class="nam">niters</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t139" href="#t139">139</a></span><span class="t">    <span class="nam">f</span><span class="op">.</span><span class="nam">write</span><span class="op">(</span><span class="nam">out</span> <span class="op">+</span> <span class="str">'\n'</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t140" href="#t140">140</a></span><span class="t">    <span class="nam">print</span><span class="op">(</span><span class="nam">out</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t141" href="#t141">141</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t142" href="#t142">142</a></span><span class="t">    <span class="nam">timing</span> <span class="op">=</span> <span class="nam">get_sorted</span><span class="op">(</span><span class="nam">stats</span><span class="op">,</span> <span class="nam">type</span><span class="op">=</span><span class="str">'timing_run'</span><span class="op">,</span> <span class="nam">sortby</span><span class="op">=</span><span class="str">'time'</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t143" href="#t143">143</a></span><span class="t">    <span class="nam">out</span> <span class="op">=</span> <span class="str">f'Time to solution: {timing[0][1]:6.4f} sec.'</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t144" href="#t144">144</a></span><span class="t">    <span class="nam">f</span><span class="op">.</span><span class="nam">write</span><span class="op">(</span><span class="nam">out</span> <span class="op">+</span> <span class="str">'\n'</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t145" href="#t145">145</a></span><span class="t">    <span class="nam">print</span><span class="op">(</span><span class="nam">out</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t146" href="#t146">146</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t147" href="#t147">147</a></span><span class="t">    <span class="key">if</span> <span class="nam">num_procs</span> <span class="op">==</span> <span class="num">1</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t148" href="#t148">148</a></span><span class="t">        <span class="key">assert</span> <span class="nam">np</span><span class="op">.</span><span class="nam">mean</span><span class="op">(</span><span class="nam">niters</span><span class="op">)</span> <span class="op">&lt;=</span> <span class="num">6.0</span><span class="op">,</span> <span class="str">'Mean number of iterations is too high, got %s'</span> <span class="op">%</span> <span class="nam">np</span><span class="op">.</span><span class="nam">mean</span><span class="op">(</span><span class="nam">niters</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t149" href="#t149">149</a></span><span class="t">        <span class="key">assert</span> <span class="nam">err</span> <span class="op">&lt;=</span> <span class="num">4.1e-08</span><span class="op">,</span> <span class="str">'Error is too high, got %s'</span> <span class="op">%</span> <span class="nam">err</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t150" href="#t150">150</a></span><span class="t">    <span class="key">else</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t151" href="#t151">151</a></span><span class="t">        <span class="key">assert</span> <span class="nam">np</span><span class="op">.</span><span class="nam">mean</span><span class="op">(</span><span class="nam">niters</span><span class="op">)</span> <span class="op">&lt;=</span> <span class="num">11.6</span><span class="op">,</span> <span class="str">'Mean number of iterations is too high, got %s'</span> <span class="op">%</span> <span class="nam">np</span><span class="op">.</span><span class="nam">mean</span><span class="op">(</span><span class="nam">niters</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t152" href="#t152">152</a></span><span class="t">        <span class="key">assert</span> <span class="nam">err</span> <span class="op">&lt;=</span> <span class="num">4.0e-08</span><span class="op">,</span> <span class="str">'Error is too high, got %s'</span> <span class="op">%</span> <span class="nam">err</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t153" href="#t153">153</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t154" href="#t154">154</a></span><span class="t">    <span class="nam">f</span><span class="op">.</span><span class="nam">write</span><span class="op">(</span><span class="str">'\n'</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t155" href="#t155">155</a></span><span class="t">    <span class="nam">print</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t156" href="#t156">156</a></span><span class="t">    <span class="nam">f</span><span class="op">.</span><span class="nam">close</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t157" href="#t157">157</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t158" href="#t158">158</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t159" href="#t159">159</a></span><span class="t"><span class="key">def</span> <span class="nam">main</span><span class="op">(</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t160" href="#t160">160</a></span><span class="t">    <span class="nam">run_variants</span><span class="op">(</span><span class="nam">variant</span><span class="op">=</span><span class="str">'mass_inv'</span><span class="op">,</span> <span class="nam">ml</span><span class="op">=</span><span class="key">False</span><span class="op">,</span> <span class="nam">num_procs</span><span class="op">=</span><span class="num">1</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t161" href="#t161">161</a></span><span class="t">    <span class="nam">run_variants</span><span class="op">(</span><span class="nam">variant</span><span class="op">=</span><span class="str">'mass'</span><span class="op">,</span> <span class="nam">ml</span><span class="op">=</span><span class="key">False</span><span class="op">,</span> <span class="nam">num_procs</span><span class="op">=</span><span class="num">1</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t162" href="#t162">162</a></span><span class="t">    <span class="nam">run_variants</span><span class="op">(</span><span class="nam">variant</span><span class="op">=</span><span class="str">'mass_inv'</span><span class="op">,</span> <span class="nam">ml</span><span class="op">=</span><span class="key">True</span><span class="op">,</span> <span class="nam">num_procs</span><span class="op">=</span><span class="num">1</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t163" href="#t163">163</a></span><span class="t">    <span class="nam">run_variants</span><span class="op">(</span><span class="nam">variant</span><span class="op">=</span><span class="str">'mass'</span><span class="op">,</span> <span class="nam">ml</span><span class="op">=</span><span class="key">True</span><span class="op">,</span> <span class="nam">num_procs</span><span class="op">=</span><span class="num">1</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t164" href="#t164">164</a></span><span class="t">    <span class="nam">run_variants</span><span class="op">(</span><span class="nam">variant</span><span class="op">=</span><span class="str">'mass_inv'</span><span class="op">,</span> <span class="nam">ml</span><span class="op">=</span><span class="key">True</span><span class="op">,</span> <span class="nam">num_procs</span><span class="op">=</span><span class="num">5</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t165" href="#t165">165</a></span><span class="t">    <span class="com"># WARNING: all other variants do NOT work, either because of FEniCS restrictions (weak forms with different meshes</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t166" href="#t166">166</a></span><span class="t">    <span class="com"># will not work together) or because of inconsistent use of the mass matrix (locality condition for the tau</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t167" href="#t167">167</a></span><span class="t">    <span class="com"># correction is not satisfied, mass matrix does not permute with restriction).</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t168" href="#t168">168</a></span><span class="t">    <span class="com"># run_pfasst_variants(variant='mass', ml=True, num_procs=5)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t141" href="#t141">141</a></span><span class="t">    <span class="nam">out</span> <span class="op">=</span> <span class="str">'   Range of values for number of iterations: %2i '</span> <span class="op">%</span> <span class="nam">np</span><span class="op">.</span><span class="nam">ptp</span><span class="op">(</span><span class="nam">niters</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t142" href="#t142">142</a></span><span class="t">    <span class="nam">f</span><span class="op">.</span><span class="nam">write</span><span class="op">(</span><span class="nam">out</span> <span class="op">+</span> <span class="str">'\n'</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t143" href="#t143">143</a></span><span class="t">    <span class="nam">print</span><span class="op">(</span><span class="nam">out</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t144" href="#t144">144</a></span><span class="t">    <span class="nam">out</span> <span class="op">=</span> <span class="str">'   Position of max/min number of iterations: %2i -- %2i'</span> <span class="op">%</span> <span class="op">(</span><span class="nam">int</span><span class="op">(</span><span class="nam">np</span><span class="op">.</span><span class="nam">argmax</span><span class="op">(</span><span class="nam">niters</span><span class="op">)</span><span class="op">)</span><span class="op">,</span> <span class="nam">int</span><span class="op">(</span><span class="nam">np</span><span class="op">.</span><span class="nam">argmin</span><span class="op">(</span><span class="nam">niters</span><span class="op">)</span><span class="op">)</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t145" href="#t145">145</a></span><span class="t">    <span class="nam">f</span><span class="op">.</span><span class="nam">write</span><span class="op">(</span><span class="nam">out</span> <span class="op">+</span> <span class="str">'\n'</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t146" href="#t146">146</a></span><span class="t">    <span class="nam">print</span><span class="op">(</span><span class="nam">out</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t147" href="#t147">147</a></span><span class="t">    <span class="nam">out</span> <span class="op">=</span> <span class="str">'   Std and var for number of iterations: %4.2f -- %4.2f'</span> <span class="op">%</span> <span class="op">(</span><span class="nam">float</span><span class="op">(</span><span class="nam">np</span><span class="op">.</span><span class="nam">std</span><span class="op">(</span><span class="nam">niters</span><span class="op">)</span><span class="op">)</span><span class="op">,</span> <span class="nam">float</span><span class="op">(</span><span class="nam">np</span><span class="op">.</span><span class="nam">var</span><span class="op">(</span><span class="nam">niters</span><span class="op">)</span><span class="op">)</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t148" href="#t148">148</a></span><span class="t">    <span class="nam">f</span><span class="op">.</span><span class="nam">write</span><span class="op">(</span><span class="nam">out</span> <span class="op">+</span> <span class="str">'\n'</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t149" href="#t149">149</a></span><span class="t">    <span class="nam">print</span><span class="op">(</span><span class="nam">out</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t150" href="#t150">150</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t151" href="#t151">151</a></span><span class="t">    <span class="nam">timing</span> <span class="op">=</span> <span class="nam">get_sorted</span><span class="op">(</span><span class="nam">stats</span><span class="op">,</span> <span class="nam">type</span><span class="op">=</span><span class="str">'timing_run'</span><span class="op">,</span> <span class="nam">sortby</span><span class="op">=</span><span class="str">'time'</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t152" href="#t152">152</a></span><span class="t">    <span class="nam">out</span> <span class="op">=</span> <span class="str">f'Time to solution: {timing[0][1]:6.4f} sec.'</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t153" href="#t153">153</a></span><span class="t">    <span class="nam">f</span><span class="op">.</span><span class="nam">write</span><span class="op">(</span><span class="nam">out</span> <span class="op">+</span> <span class="str">'\n'</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t154" href="#t154">154</a></span><span class="t">    <span class="nam">print</span><span class="op">(</span><span class="nam">out</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t155" href="#t155">155</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t156" href="#t156">156</a></span><span class="t">    <span class="key">if</span> <span class="nam">num_procs</span> <span class="op">==</span> <span class="num">1</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t157" href="#t157">157</a></span><span class="t">        <span class="key">assert</span> <span class="nam">np</span><span class="op">.</span><span class="nam">mean</span><span class="op">(</span><span class="nam">niters</span><span class="op">)</span> <span class="op">&lt;=</span> <span class="num">6.0</span><span class="op">,</span> <span class="str">'Mean number of iterations is too high, got %s'</span> <span class="op">%</span> <span class="nam">np</span><span class="op">.</span><span class="nam">mean</span><span class="op">(</span><span class="nam">niters</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t158" href="#t158">158</a></span><span class="t">        <span class="key">if</span> <span class="nam">variant</span> <span class="op">==</span> <span class="str">'mass'</span> <span class="key">or</span> <span class="nam">variant</span> <span class="op">==</span> <span class="str">'mass_inv'</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t159" href="#t159">159</a></span><span class="t">            <span class="key">assert</span> <span class="nam">err</span> <span class="op">&lt;=</span> <span class="num">1.14e-08</span><span class="op">,</span> <span class="str">'Error is too high, got %s'</span> <span class="op">%</span> <span class="nam">err</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t160" href="#t160">160</a></span><span class="t">        <span class="key">else</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t161" href="#t161">161</a></span><span class="t">            <span class="key">assert</span> <span class="nam">err</span> <span class="op">&lt;=</span> <span class="num">3.25e-07</span><span class="op">,</span> <span class="str">'Error is too high, got %s'</span> <span class="op">%</span> <span class="nam">err</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t162" href="#t162">162</a></span><span class="t">    <span class="key">else</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t163" href="#t163">163</a></span><span class="t">        <span class="key">assert</span> <span class="nam">np</span><span class="op">.</span><span class="nam">mean</span><span class="op">(</span><span class="nam">niters</span><span class="op">)</span> <span class="op">&lt;=</span> <span class="num">11.6</span><span class="op">,</span> <span class="str">'Mean number of iterations is too high, got %s'</span> <span class="op">%</span> <span class="nam">np</span><span class="op">.</span><span class="nam">mean</span><span class="op">(</span><span class="nam">niters</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t164" href="#t164">164</a></span><span class="t">        <span class="key">assert</span> <span class="nam">err</span> <span class="op">&lt;=</span> <span class="num">1.14e-08</span><span class="op">,</span> <span class="str">'Error is too high, got %s'</span> <span class="op">%</span> <span class="nam">err</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t165" href="#t165">165</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t166" href="#t166">166</a></span><span class="t">    <span class="nam">f</span><span class="op">.</span><span class="nam">write</span><span class="op">(</span><span class="str">'\n'</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t167" href="#t167">167</a></span><span class="t">    <span class="nam">print</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t168" href="#t168">168</a></span><span class="t">    <span class="nam">f</span><span class="op">.</span><span class="nam">close</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t169" href="#t169">169</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t170" href="#t170">170</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="exc show_exc"><span class="n"><a id="t171" href="#t171">171</a></span><span class="t"><span class="key">if</span> <span class="nam">__name__</span> <span class="op">==</span> <span class="str">"__main__"</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="exc show_exc"><span class="n"><a id="t172" href="#t172">172</a></span><span class="t">    <span class="nam">main</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t171" href="#t171">171</a></span><span class="t"><span class="key">def</span> <span class="nam">main</span><span class="op">(</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t172" href="#t172">172</a></span><span class="t">    <span class="nam">run_variants</span><span class="op">(</span><span class="nam">variant</span><span class="op">=</span><span class="str">'mass_inv'</span><span class="op">,</span> <span class="nam">ml</span><span class="op">=</span><span class="key">False</span><span class="op">,</span> <span class="nam">num_procs</span><span class="op">=</span><span class="num">1</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t173" href="#t173">173</a></span><span class="t">    <span class="nam">run_variants</span><span class="op">(</span><span class="nam">variant</span><span class="op">=</span><span class="str">'mass'</span><span class="op">,</span> <span class="nam">ml</span><span class="op">=</span><span class="key">False</span><span class="op">,</span> <span class="nam">num_procs</span><span class="op">=</span><span class="num">1</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t174" href="#t174">174</a></span><span class="t">    <span class="nam">run_variants</span><span class="op">(</span><span class="nam">variant</span><span class="op">=</span><span class="str">'mass_timebc'</span><span class="op">,</span> <span class="nam">ml</span><span class="op">=</span><span class="key">False</span><span class="op">,</span> <span class="nam">num_procs</span><span class="op">=</span><span class="num">1</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t175" href="#t175">175</a></span><span class="t">    <span class="nam">run_variants</span><span class="op">(</span><span class="nam">variant</span><span class="op">=</span><span class="str">'mass_inv'</span><span class="op">,</span> <span class="nam">ml</span><span class="op">=</span><span class="key">True</span><span class="op">,</span> <span class="nam">num_procs</span><span class="op">=</span><span class="num">1</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t176" href="#t176">176</a></span><span class="t">    <span class="nam">run_variants</span><span class="op">(</span><span class="nam">variant</span><span class="op">=</span><span class="str">'mass'</span><span class="op">,</span> <span class="nam">ml</span><span class="op">=</span><span class="key">True</span><span class="op">,</span> <span class="nam">num_procs</span><span class="op">=</span><span class="num">1</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t177" href="#t177">177</a></span><span class="t">    <span class="nam">run_variants</span><span class="op">(</span><span class="nam">variant</span><span class="op">=</span><span class="str">'mass_timebc'</span><span class="op">,</span> <span class="nam">ml</span><span class="op">=</span><span class="key">True</span><span class="op">,</span> <span class="nam">num_procs</span><span class="op">=</span><span class="num">1</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t178" href="#t178">178</a></span><span class="t">    <span class="nam">run_variants</span><span class="op">(</span><span class="nam">variant</span><span class="op">=</span><span class="str">'mass_inv'</span><span class="op">,</span> <span class="nam">ml</span><span class="op">=</span><span class="key">True</span><span class="op">,</span> <span class="nam">num_procs</span><span class="op">=</span><span class="num">5</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t179" href="#t179">179</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t180" href="#t180">180</a></span><span class="t">    <span class="com"># WARNING: all other variants do NOT work, either because of FEniCS restrictions (weak forms with different meshes</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t181" href="#t181">181</a></span><span class="t">    <span class="com"># will not work together) or because of inconsistent use of the mass matrix (locality condition for the tau</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t182" href="#t182">182</a></span><span class="t">    <span class="com"># correction is not satisfied, mass matrix does not permute with restriction).</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t183" href="#t183">183</a></span><span class="t">    <span class="com"># run_pfasst_variants(variant='mass', ml=True, num_procs=5)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t184" href="#t184">184</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t185" href="#t185">185</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="exc show_exc"><span class="n"><a id="t186" href="#t186">186</a></span><span class="t"><span class="key">if</span> <span class="nam">__name__</span> <span class="op">==</span> <span class="str">"__main__"</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="exc show_exc"><span class="n"><a id="t187" href="#t187">187</a></span><span class="t">    <span class="nam">main</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
 </main>
 <footer>
     <div class="content">
@@ -261,7 +276,7 @@ <h2>
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+            created at 2023-12-26 13:30 +0000
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diff --git a/coverage/d_11ffac7f7ab8bb8d_B_pySDC_with_mpi4pyfft_py.html b/coverage/d_11ffac7f7ab8bb8d_B_pySDC_with_mpi4pyfft_py.html
index 32e275e18d..a1b3f4ca73 100644
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+++ b/coverage/d_11ffac7f7ab8bb8d_B_pySDC_with_mpi4pyfft_py.html
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             <a class="nav" href="https://coverage.readthedocs.io/en/7.3.4">coverage.py v7.3.4</a>,
-            created at 2023-12-26 12:59 +0000
+            created at 2023-12-26 13:30 +0000
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diff --git a/coverage/d_91faa57f8583c837_FastWaveSlowWave_0D_py.html b/coverage/d_91faa57f8583c837_FastWaveSlowWave_0D_py.html
index 722081a983..c349104a1e 100644
--- a/coverage/d_91faa57f8583c837_FastWaveSlowWave_0D_py.html
+++ b/coverage/d_91faa57f8583c837_FastWaveSlowWave_0D_py.html
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+            created at 2023-12-26 13:30 +0000
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+            created at 2023-12-26 13:30 +0000
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diff --git a/coverage/d_91faa57f8583c837_FermiPastaUlamTsingou_py.html b/coverage/d_91faa57f8583c837_FermiPastaUlamTsingou_py.html
index 37dfeb0d8d..24e148cf76 100644
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+++ b/coverage/d_91faa57f8583c837_FermiPastaUlamTsingou_py.html
@@ -65,7 +65,7 @@ <h2>
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+            created at 2023-12-26 13:30 +0000
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+            created at 2023-12-26 13:30 +0000
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diff --git a/coverage/d_91faa57f8583c837_FullSolarSystem_py.html b/coverage/d_91faa57f8583c837_FullSolarSystem_py.html
index f43f6f7955..136a472af0 100644
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+++ b/coverage/d_91faa57f8583c837_FullSolarSystem_py.html
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+            created at 2023-12-26 13:30 +0000
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             <button type="button" class="button_next_chunk" data-shortcut="j"/>
@@ -189,7 +189,7 @@ <h2>
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+            created at 2023-12-26 13:30 +0000
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diff --git a/coverage/d_91faa57f8583c837_GeneralizedFisher_1D_FD_implicit_py.html b/coverage/d_91faa57f8583c837_GeneralizedFisher_1D_FD_implicit_py.html
index 7963820936..c9a0931b6b 100644
--- a/coverage/d_91faa57f8583c837_GeneralizedFisher_1D_FD_implicit_py.html
+++ b/coverage/d_91faa57f8583c837_GeneralizedFisher_1D_FD_implicit_py.html
@@ -65,7 +65,7 @@ <h2>
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+            created at 2023-12-26 13:30 +0000
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@@ -327,7 +327,7 @@ <h2>
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+            created at 2023-12-26 13:30 +0000
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diff --git a/coverage/d_91faa57f8583c837_GeneralizedFisher_1D_PETSc_py.html b/coverage/d_91faa57f8583c837_GeneralizedFisher_1D_PETSc_py.html
index 5d47394eae..3377c3c1d2 100644
--- a/coverage/d_91faa57f8583c837_GeneralizedFisher_1D_PETSc_py.html
+++ b/coverage/d_91faa57f8583c837_GeneralizedFisher_1D_PETSc_py.html
@@ -65,7 +65,7 @@ <h2>
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+            created at 2023-12-26 13:30 +0000
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@@ -878,7 +878,7 @@ <h2>
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+            created at 2023-12-26 13:30 +0000
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diff --git a/coverage/d_91faa57f8583c837_GrayScott_1D_FEniCS_implicit_py.html b/coverage/d_91faa57f8583c837_GrayScott_1D_FEniCS_implicit_py.html
index a0499a2688..6a8373dffd 100644
--- a/coverage/d_91faa57f8583c837_GrayScott_1D_FEniCS_implicit_py.html
+++ b/coverage/d_91faa57f8583c837_GrayScott_1D_FEniCS_implicit_py.html
@@ -65,7 +65,7 @@ <h2>
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+            created at 2023-12-26 13:30 +0000
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+            created at 2023-12-26 13:30 +0000
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diff --git a/coverage/d_91faa57f8583c837_GrayScott_2D_PETSc_periodic_py.html b/coverage/d_91faa57f8583c837_GrayScott_2D_PETSc_periodic_py.html
index ea85e3e5fa..9af87f69d0 100644
--- a/coverage/d_91faa57f8583c837_GrayScott_2D_PETSc_periodic_py.html
+++ b/coverage/d_91faa57f8583c837_GrayScott_2D_PETSc_periodic_py.html
@@ -65,7 +65,7 @@ <h2>
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+            created at 2023-12-26 13:30 +0000
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@@ -909,7 +909,7 @@ <h2>
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+            created at 2023-12-26 13:30 +0000
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diff --git a/coverage/d_91faa57f8583c837_GrayScott_MPIFFT_py.html b/coverage/d_91faa57f8583c837_GrayScott_MPIFFT_py.html
index 2f5577bb6f..94eae6a720 100644
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+++ b/coverage/d_91faa57f8583c837_GrayScott_MPIFFT_py.html
@@ -65,7 +65,7 @@ <h2>
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+            created at 2023-12-26 13:30 +0000
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+            created at 2023-12-26 13:30 +0000
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diff --git a/coverage/d_91faa57f8583c837_HarmonicOscillator_py.html b/coverage/d_91faa57f8583c837_HarmonicOscillator_py.html
index 6e023186c2..b83104681d 100644
--- a/coverage/d_91faa57f8583c837_HarmonicOscillator_py.html
+++ b/coverage/d_91faa57f8583c837_HarmonicOscillator_py.html
@@ -65,7 +65,7 @@ <h2>
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+            created at 2023-12-26 13:30 +0000
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@@ -243,7 +243,7 @@ <h2>
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+            created at 2023-12-26 13:30 +0000
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diff --git a/coverage/d_91faa57f8583c837_HeatEquation_1D_FEniCS_matrix_forced_py.html b/coverage/d_91faa57f8583c837_HeatEquation_1D_FEniCS_matrix_forced_py.html
index c371aacb23..eb0e57acca 100644
--- a/coverage/d_91faa57f8583c837_HeatEquation_1D_FEniCS_matrix_forced_py.html
+++ b/coverage/d_91faa57f8583c837_HeatEquation_1D_FEniCS_matrix_forced_py.html
@@ -54,8 +54,8 @@ <h1>
             </div>
         </aside>
         <h2>
-            <span class="text">91 statements &nbsp;</span>
-            <button type="button" class="run button_toggle_run" value="run" data-shortcut="r" title="Toggle lines run">91<span class="text"> run</span></button>
+            <span class="text">113 statements &nbsp;</span>
+            <button type="button" class="run button_toggle_run" value="run" data-shortcut="r" title="Toggle lines run">113<span class="text"> run</span></button>
             <button type="button" class="mis show_mis button_toggle_mis" value="mis" data-shortcut="m" title="Toggle lines missing">0<span class="text"> missing</span></button>
             <button type="button" class="exc show_exc button_toggle_exc" value="exc" data-shortcut="x" title="Toggle lines excluded">1<span class="text"> excluded</span></button>
         </h2>
@@ -65,7 +65,7 @@ <h2>
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-            created at 2023-12-26 12:59 +0000
+            created at 2023-12-26 13:30 +0000
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             <button type="button" class="button_next_chunk" data-shortcut="j"/>
@@ -100,7 +100,7 @@ <h2>
     <p class="pln"><span class="n"><a id="t18" href="#t18">18</a></span><span class="t"><span class="str">    for :math:`x \in \Omega:=[0,1]`, where the forcing term :math:`f` is defined by</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t19" href="#t19">19</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t20" href="#t20">20</a></span><span class="t"><span class="str">    .. math::</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t21" href="#t21">21</a></span><span class="t"><span class="str">        f(x, t) = -\cos(\pi x) (\sin(t) - \nu \pi^2 \cos(t)).</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t21" href="#t21">21</a></span><span class="t"><span class="str">        f(x, t) = -\sin(\pi x) (\sin(t) - \nu \pi^2 \cos(t)).</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t22" href="#t22">22</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t23" href="#t23">23</a></span><span class="t"><span class="str">    For initial conditions with constant c and</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t24" href="#t24">24</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
@@ -393,141 +393,297 @@ <h2>
     <p class="pln"><span class="n"><a id="t311" href="#t311">311</a></span><span class="t"><span class="str">    for :math:`x \in \Omega:=[0,1]`, where the forcing term :math:`f` is defined by</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t312" href="#t312">312</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t313" href="#t313">313</a></span><span class="t"><span class="str">    .. math::</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t314" href="#t314">314</a></span><span class="t"><span class="str">        f(x, t) = -\cos(\pi x) (\sin(t) - \nu \pi^2 \cos(t)).</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t314" href="#t314">314</a></span><span class="t"><span class="str">        f(x, t) = -\sin(\pi x) (\sin(t) - \nu \pi^2 \cos(t)).</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t315" href="#t315">315</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t316" href="#t316">316</a></span><span class="t"><span class="str">    The exact solution of the problem is</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t316" href="#t316">316</a></span><span class="t"><span class="str">    For initial conditions with constant c and</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t317" href="#t317">317</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t318" href="#t318">318</a></span><span class="t"><span class="str">    .. math::</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t319" href="#t319">319</a></span><span class="t"><span class="str">        u(x, t) = \cos(\pi x)\cos(t).</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t319" href="#t319">319</a></span><span class="t"><span class="str">        u(x, 0) = \sin(\pi x) + c</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t320" href="#t320">320</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t321" href="#t321">321</a></span><span class="t"><span class="str">    In this class the problem is implemented in the way that the spatial part is solved using ``FEniCS`` [1]_. Hence, the problem</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t322" href="#t322">322</a></span><span class="t"><span class="str">    is reformulated to the *weak formulation*</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t323" href="#t323">323</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t324" href="#t324">324</a></span><span class="t"><span class="str">    .. math:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t325" href="#t325">325</a></span><span class="t"><span class="str">        \int_\Omega u_t v\,dx = - \nu \int_\Omega \nabla u \nabla v\,dx + \int_\Omega f v\,dx.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t326" href="#t326">326</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t327" href="#t327">327</a></span><span class="t"><span class="str">    The forcing term is treated explicitly, and is expressed via the mass matrix resulting from the left-hand side term</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t328" href="#t328">328</a></span><span class="t"><span class="str">    :math:`\int_\Omega u_t v\,dx`, and the other part will be treated in an implicit way.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t329" href="#t329">329</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t330" href="#t330">330</a></span><span class="t"><span class="str">    Parameters</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t331" href="#t331">331</a></span><span class="t"><span class="str">    ----------</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t332" href="#t332">332</a></span><span class="t"><span class="str">    c_nvars : int, optional</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t333" href="#t333">333</a></span><span class="t"><span class="str">        Spatial resolution, i.e., numbers of degrees of freedom in space.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t334" href="#t334">334</a></span><span class="t"><span class="str">    t0 : float, optional</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t335" href="#t335">335</a></span><span class="t"><span class="str">        Starting time.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t336" href="#t336">336</a></span><span class="t"><span class="str">    family : str, optional</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t337" href="#t337">337</a></span><span class="t"><span class="str">        Indicates the family of elements used to create the function space</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t338" href="#t338">338</a></span><span class="t"><span class="str">        for the trail and test functions. The default is ``'CG'``, which are the class</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t339" href="#t339">339</a></span><span class="t"><span class="str">        of Continuous Galerkin, a *synonym* for the Lagrange family of elements, see [2]_.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t340" href="#t340">340</a></span><span class="t"><span class="str">    order : int, optional</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t341" href="#t341">341</a></span><span class="t"><span class="str">        Defines the order of the elements in the function space.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t342" href="#t342">342</a></span><span class="t"><span class="str">    refinements : int, optional</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t343" href="#t343">343</a></span><span class="t"><span class="str">        Denotes the refinement of the mesh. ``refinements=2`` refines the mesh by factor :math:`2`.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t344" href="#t344">344</a></span><span class="t"><span class="str">    nu : float, optional</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t345" href="#t345">345</a></span><span class="t"><span class="str">        Diffusion coefficient :math:`\nu`.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t346" href="#t346">346</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t347" href="#t347">347</a></span><span class="t"><span class="str">    Attributes</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t348" href="#t348">348</a></span><span class="t"><span class="str">    ----------</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t349" href="#t349">349</a></span><span class="t"><span class="str">    V : FunctionSpace</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t350" href="#t350">350</a></span><span class="t"><span class="str">        Defines the function space of the trial and test functions.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t351" href="#t351">351</a></span><span class="t"><span class="str">    M : scalar, vector, matrix or higher rank tensor</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t352" href="#t352">352</a></span><span class="t"><span class="str">        Denotes the expression :math:`\int_\Omega u_t v\,dx`.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t353" href="#t353">353</a></span><span class="t"><span class="str">    K : scalar, vector, matrix or higher rank tensor</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t354" href="#t354">354</a></span><span class="t"><span class="str">        Denotes the expression :math:`- \nu \int_\Omega \nabla u \nabla v\,dx`.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t355" href="#t355">355</a></span><span class="t"><span class="str">    g : Expression</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t356" href="#t356">356</a></span><span class="t"><span class="str">        The forcing term :math:`f` in the heat equation.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t357" href="#t357">357</a></span><span class="t"><span class="str">    bc : DirichletBC</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t358" href="#t358">358</a></span><span class="t"><span class="str">        Denotes the Dirichlet boundary conditions.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t359" href="#t359">359</a></span><span class="t"><span class="str">    bc_hom : DirichletBC</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t360" href="#t360">360</a></span><span class="t"><span class="str">        Denotes the homogeneous Dirichlet boundary conditions, potentially required for fixing the residual</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t361" href="#t361">361</a></span><span class="t"><span class="str">    fix_bc_for_residual: boolean</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t362" href="#t362">362</a></span><span class="t"><span class="str">        flag to indicate that the residual requires special treatment due to boundary conditions</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t363" href="#t363">363</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t364" href="#t364">364</a></span><span class="t"><span class="str">    References</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t365" href="#t365">365</a></span><span class="t"><span class="str">    ----------</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t366" href="#t366">366</a></span><span class="t"><span class="str">    .. [1] The FEniCS Project Version 1.5. M. S. Alnaes, J. Blechta, J. Hake, A. Johansson, B. Kehlet, A. Logg,</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t367" href="#t367">367</a></span><span class="t"><span class="str">        C. Richardson, J. Ring, M. E. Rognes, G. N. Wells. Archive of Numerical Software (2015).</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t368" href="#t368">368</a></span><span class="t"><span class="str">    .. [2] Automated Solution of Differential Equations by the Finite Element Method. A. Logg, K.-A. Mardal, G. N.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t369" href="#t369">369</a></span><span class="t"><span class="str">        Wells and others. Springer (2012).</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t370" href="#t370">370</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t371" href="#t371">371</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t372" href="#t372">372</a></span><span class="t">    <span class="key">def</span> <span class="nam">__init__</span><span class="op">(</span><span class="nam">self</span><span class="op">,</span> <span class="nam">c_nvars</span><span class="op">=</span><span class="num">128</span><span class="op">,</span> <span class="nam">t0</span><span class="op">=</span><span class="num">0.0</span><span class="op">,</span> <span class="nam">family</span><span class="op">=</span><span class="str">'CG'</span><span class="op">,</span> <span class="nam">order</span><span class="op">=</span><span class="num">4</span><span class="op">,</span> <span class="nam">refinements</span><span class="op">=</span><span class="num">1</span><span class="op">,</span> <span class="nam">nu</span><span class="op">=</span><span class="num">0.1</span><span class="op">,</span> <span class="nam">c</span><span class="op">=</span><span class="num">0.0</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t373" href="#t373">373</a></span><span class="t">        <span class="str">"""Initialization routine"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t374" href="#t374">374</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t375" href="#t375">375</a></span><span class="t">        <span class="nam">super</span><span class="op">(</span><span class="op">)</span><span class="op">.</span><span class="nam">__init__</span><span class="op">(</span><span class="nam">c_nvars</span><span class="op">,</span> <span class="nam">t0</span><span class="op">,</span> <span class="nam">family</span><span class="op">,</span> <span class="nam">order</span><span class="op">,</span> <span class="nam">refinements</span><span class="op">,</span> <span class="nam">nu</span><span class="op">,</span> <span class="nam">c</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t321" href="#t321">321</a></span><span class="t"><span class="str">    the exact solution of the problem is given by</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t322" href="#t322">322</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t323" href="#t323">323</a></span><span class="t"><span class="str">    .. math::</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t324" href="#t324">324</a></span><span class="t"><span class="str">        u(x, t) = \sin(\pi x)\cos(t) + c.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t325" href="#t325">325</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t326" href="#t326">326</a></span><span class="t"><span class="str">    In this class the problem is implemented in the way that the spatial part is solved using ``FEniCS`` [1]_. Hence, the problem</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t327" href="#t327">327</a></span><span class="t"><span class="str">    is reformulated to the *weak formulation*</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t328" href="#t328">328</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t329" href="#t329">329</a></span><span class="t"><span class="str">    .. math:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t330" href="#t330">330</a></span><span class="t"><span class="str">        \int_\Omega u_t v\,dx = - \nu \int_\Omega \nabla u \nabla v\,dx + \int_\Omega f v\,dx.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t331" href="#t331">331</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t332" href="#t332">332</a></span><span class="t"><span class="str">    The forcing term is treated explicitly, and is expressed via the mass matrix resulting from the left-hand side term</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t333" href="#t333">333</a></span><span class="t"><span class="str">    :math:`\int_\Omega u_t v\,dx`, and the other part will be treated in an implicit way.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t334" href="#t334">334</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t335" href="#t335">335</a></span><span class="t"><span class="str">    Parameters</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t336" href="#t336">336</a></span><span class="t"><span class="str">    ----------</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t337" href="#t337">337</a></span><span class="t"><span class="str">    c_nvars : int, optional</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t338" href="#t338">338</a></span><span class="t"><span class="str">        Spatial resolution, i.e., numbers of degrees of freedom in space.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t339" href="#t339">339</a></span><span class="t"><span class="str">    t0 : float, optional</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t340" href="#t340">340</a></span><span class="t"><span class="str">        Starting time.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t341" href="#t341">341</a></span><span class="t"><span class="str">    family : str, optional</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t342" href="#t342">342</a></span><span class="t"><span class="str">        Indicates the family of elements used to create the function space</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t343" href="#t343">343</a></span><span class="t"><span class="str">        for the trail and test functions. The default is ``'CG'``, which are the class</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t344" href="#t344">344</a></span><span class="t"><span class="str">        of Continuous Galerkin, a *synonym* for the Lagrange family of elements, see [2]_.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t345" href="#t345">345</a></span><span class="t"><span class="str">    order : int, optional</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t346" href="#t346">346</a></span><span class="t"><span class="str">        Defines the order of the elements in the function space.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t347" href="#t347">347</a></span><span class="t"><span class="str">    refinements : int, optional</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t348" href="#t348">348</a></span><span class="t"><span class="str">        Denotes the refinement of the mesh. ``refinements=2`` refines the mesh by factor :math:`2`.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t349" href="#t349">349</a></span><span class="t"><span class="str">    nu : float, optional</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t350" href="#t350">350</a></span><span class="t"><span class="str">        Diffusion coefficient :math:`\nu`.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t351" href="#t351">351</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t352" href="#t352">352</a></span><span class="t"><span class="str">    Attributes</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t353" href="#t353">353</a></span><span class="t"><span class="str">    ----------</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t354" href="#t354">354</a></span><span class="t"><span class="str">    V : FunctionSpace</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t355" href="#t355">355</a></span><span class="t"><span class="str">        Defines the function space of the trial and test functions.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t356" href="#t356">356</a></span><span class="t"><span class="str">    M : scalar, vector, matrix or higher rank tensor</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t357" href="#t357">357</a></span><span class="t"><span class="str">        Denotes the expression :math:`\int_\Omega u_t v\,dx`.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t358" href="#t358">358</a></span><span class="t"><span class="str">    K : scalar, vector, matrix or higher rank tensor</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t359" href="#t359">359</a></span><span class="t"><span class="str">        Denotes the expression :math:`- \nu \int_\Omega \nabla u \nabla v\,dx`.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t360" href="#t360">360</a></span><span class="t"><span class="str">    g : Expression</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t361" href="#t361">361</a></span><span class="t"><span class="str">        The forcing term :math:`f` in the heat equation.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t362" href="#t362">362</a></span><span class="t"><span class="str">    bc : DirichletBC</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t363" href="#t363">363</a></span><span class="t"><span class="str">        Denotes the Dirichlet boundary conditions.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t364" href="#t364">364</a></span><span class="t"><span class="str">    bc_hom : DirichletBC</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t365" href="#t365">365</a></span><span class="t"><span class="str">        Denotes the homogeneous Dirichlet boundary conditions, potentially required for fixing the residual</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t366" href="#t366">366</a></span><span class="t"><span class="str">    fix_bc_for_residual: boolean</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t367" href="#t367">367</a></span><span class="t"><span class="str">        flag to indicate that the residual requires special treatment due to boundary conditions</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t368" href="#t368">368</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t369" href="#t369">369</a></span><span class="t"><span class="str">    References</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t370" href="#t370">370</a></span><span class="t"><span class="str">    ----------</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t371" href="#t371">371</a></span><span class="t"><span class="str">    .. [1] The FEniCS Project Version 1.5. M. S. Alnaes, J. Blechta, J. Hake, A. Johansson, B. Kehlet, A. Logg,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t372" href="#t372">372</a></span><span class="t"><span class="str">        C. Richardson, J. Ring, M. E. Rognes, G. N. Wells. Archive of Numerical Software (2015).</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t373" href="#t373">373</a></span><span class="t"><span class="str">    .. [2] Automated Solution of Differential Equations by the Finite Element Method. A. Logg, K.-A. Mardal, G. N.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t374" href="#t374">374</a></span><span class="t"><span class="str">        Wells and others. Springer (2012).</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t375" href="#t375">375</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t376" href="#t376">376</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t377" href="#t377">377</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">fix_bc_for_residual</span> <span class="op">=</span> <span class="key">True</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t378" href="#t378">378</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t379" href="#t379">379</a></span><span class="t">    <span class="key">def</span> <span class="nam">solve_system</span><span class="op">(</span><span class="nam">self</span><span class="op">,</span> <span class="nam">rhs</span><span class="op">,</span> <span class="nam">factor</span><span class="op">,</span> <span class="nam">u0</span><span class="op">,</span> <span class="nam">t</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t380" href="#t380">380</a></span><span class="t">        <span class="str">r"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t381" href="#t381">381</a></span><span class="t"><span class="str">        Dolfin's linear solver for :math:`(M - factor A) \vec{u} = \vec{rhs}`.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t382" href="#t382">382</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t383" href="#t383">383</a></span><span class="t"><span class="str">        Parameters</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t384" href="#t384">384</a></span><span class="t"><span class="str">        ----------</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t385" href="#t385">385</a></span><span class="t"><span class="str">        rhs : dtype_f</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t386" href="#t386">386</a></span><span class="t"><span class="str">            Right-hand side for the nonlinear system.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t387" href="#t387">387</a></span><span class="t"><span class="str">        factor : float</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t388" href="#t388">388</a></span><span class="t"><span class="str">            Abbrev. for the node-to-node stepsize (or any other factor required).</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t389" href="#t389">389</a></span><span class="t"><span class="str">        u0 : dtype_u</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t390" href="#t390">390</a></span><span class="t"><span class="str">            Initial guess for the iterative solver (not used here so far).</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t391" href="#t391">391</a></span><span class="t"><span class="str">        t : float</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t392" href="#t392">392</a></span><span class="t"><span class="str">            Current time.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t393" href="#t393">393</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t394" href="#t394">394</a></span><span class="t"><span class="str">        Returns</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t395" href="#t395">395</a></span><span class="t"><span class="str">        -------</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t396" href="#t396">396</a></span><span class="t"><span class="str">        u : dtype_u</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t397" href="#t397">397</a></span><span class="t"><span class="str">            Solution.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t398" href="#t398">398</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t399" href="#t399">399</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t400" href="#t400">400</a></span><span class="t">        <span class="nam">u</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">dtype_u</span><span class="op">(</span><span class="nam">u0</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t401" href="#t401">401</a></span><span class="t">        <span class="nam">T</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">M</span> <span class="op">-</span> <span class="nam">factor</span> <span class="op">*</span> <span class="nam">self</span><span class="op">.</span><span class="nam">K</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t402" href="#t402">402</a></span><span class="t">        <span class="nam">b</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">dtype_u</span><span class="op">(</span><span class="nam">rhs</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t403" href="#t403">403</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t404" href="#t404">404</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">bc</span><span class="op">.</span><span class="nam">apply</span><span class="op">(</span><span class="nam">T</span><span class="op">,</span> <span class="nam">b</span><span class="op">.</span><span class="nam">values</span><span class="op">.</span><span class="nam">vector</span><span class="op">(</span><span class="op">)</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t405" href="#t405">405</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">bc</span><span class="op">.</span><span class="nam">apply</span><span class="op">(</span><span class="nam">b</span><span class="op">.</span><span class="nam">values</span><span class="op">.</span><span class="nam">vector</span><span class="op">(</span><span class="op">)</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t406" href="#t406">406</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t407" href="#t407">407</a></span><span class="t">        <span class="nam">df</span><span class="op">.</span><span class="nam">solve</span><span class="op">(</span><span class="nam">T</span><span class="op">,</span> <span class="nam">u</span><span class="op">.</span><span class="nam">values</span><span class="op">.</span><span class="nam">vector</span><span class="op">(</span><span class="op">)</span><span class="op">,</span> <span class="nam">b</span><span class="op">.</span><span class="nam">values</span><span class="op">.</span><span class="nam">vector</span><span class="op">(</span><span class="op">)</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t377" href="#t377">377</a></span><span class="t">    <span class="key">def</span> <span class="nam">__init__</span><span class="op">(</span><span class="nam">self</span><span class="op">,</span> <span class="nam">c_nvars</span><span class="op">=</span><span class="num">128</span><span class="op">,</span> <span class="nam">t0</span><span class="op">=</span><span class="num">0.0</span><span class="op">,</span> <span class="nam">family</span><span class="op">=</span><span class="str">'CG'</span><span class="op">,</span> <span class="nam">order</span><span class="op">=</span><span class="num">4</span><span class="op">,</span> <span class="nam">refinements</span><span class="op">=</span><span class="num">1</span><span class="op">,</span> <span class="nam">nu</span><span class="op">=</span><span class="num">0.1</span><span class="op">,</span> <span class="nam">c</span><span class="op">=</span><span class="num">0.0</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t378" href="#t378">378</a></span><span class="t">        <span class="str">"""Initialization routine"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t379" href="#t379">379</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t380" href="#t380">380</a></span><span class="t">        <span class="nam">super</span><span class="op">(</span><span class="op">)</span><span class="op">.</span><span class="nam">__init__</span><span class="op">(</span><span class="nam">c_nvars</span><span class="op">,</span> <span class="nam">t0</span><span class="op">,</span> <span class="nam">family</span><span class="op">,</span> <span class="nam">order</span><span class="op">,</span> <span class="nam">refinements</span><span class="op">,</span> <span class="nam">nu</span><span class="op">,</span> <span class="nam">c</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t381" href="#t381">381</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t382" href="#t382">382</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">fix_bc_for_residual</span> <span class="op">=</span> <span class="key">True</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t383" href="#t383">383</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t384" href="#t384">384</a></span><span class="t">    <span class="key">def</span> <span class="nam">solve_system</span><span class="op">(</span><span class="nam">self</span><span class="op">,</span> <span class="nam">rhs</span><span class="op">,</span> <span class="nam">factor</span><span class="op">,</span> <span class="nam">u0</span><span class="op">,</span> <span class="nam">t</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t385" href="#t385">385</a></span><span class="t">        <span class="str">r"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t386" href="#t386">386</a></span><span class="t"><span class="str">        Dolfin's linear solver for :math:`(M - factor A) \vec{u} = \vec{rhs}`.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t387" href="#t387">387</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t388" href="#t388">388</a></span><span class="t"><span class="str">        Parameters</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t389" href="#t389">389</a></span><span class="t"><span class="str">        ----------</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t390" href="#t390">390</a></span><span class="t"><span class="str">        rhs : dtype_f</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t391" href="#t391">391</a></span><span class="t"><span class="str">            Right-hand side for the nonlinear system.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t392" href="#t392">392</a></span><span class="t"><span class="str">        factor : float</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t393" href="#t393">393</a></span><span class="t"><span class="str">            Abbrev. for the node-to-node stepsize (or any other factor required).</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t394" href="#t394">394</a></span><span class="t"><span class="str">        u0 : dtype_u</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t395" href="#t395">395</a></span><span class="t"><span class="str">            Initial guess for the iterative solver (not used here so far).</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t396" href="#t396">396</a></span><span class="t"><span class="str">        t : float</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t397" href="#t397">397</a></span><span class="t"><span class="str">            Current time.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t398" href="#t398">398</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t399" href="#t399">399</a></span><span class="t"><span class="str">        Returns</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t400" href="#t400">400</a></span><span class="t"><span class="str">        -------</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t401" href="#t401">401</a></span><span class="t"><span class="str">        u : dtype_u</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t402" href="#t402">402</a></span><span class="t"><span class="str">            Solution.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t403" href="#t403">403</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t404" href="#t404">404</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t405" href="#t405">405</a></span><span class="t">        <span class="nam">u</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">dtype_u</span><span class="op">(</span><span class="nam">u0</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t406" href="#t406">406</a></span><span class="t">        <span class="nam">T</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">M</span> <span class="op">-</span> <span class="nam">factor</span> <span class="op">*</span> <span class="nam">self</span><span class="op">.</span><span class="nam">K</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t407" href="#t407">407</a></span><span class="t">        <span class="nam">b</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">dtype_u</span><span class="op">(</span><span class="nam">rhs</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t408" href="#t408">408</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t409" href="#t409">409</a></span><span class="t">        <span class="key">return</span> <span class="nam">u</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t410" href="#t410">410</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t411" href="#t411">411</a></span><span class="t">    <span class="key">def</span> <span class="nam">eval_f</span><span class="op">(</span><span class="nam">self</span><span class="op">,</span> <span class="nam">u</span><span class="op">,</span> <span class="nam">t</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t412" href="#t412">412</a></span><span class="t">        <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t413" href="#t413">413</a></span><span class="t"><span class="str">        Routine to evaluate both parts of the right-hand side.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t414" href="#t414">414</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t415" href="#t415">415</a></span><span class="t"><span class="str">        Parameters</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t416" href="#t416">416</a></span><span class="t"><span class="str">        ----------</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t417" href="#t417">417</a></span><span class="t"><span class="str">        u : dtype_u</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t418" href="#t418">418</a></span><span class="t"><span class="str">            Current values of the numerical solution.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t419" href="#t419">419</a></span><span class="t"><span class="str">        t : float</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t420" href="#t420">420</a></span><span class="t"><span class="str">            Current time at which the numerical solution is computed.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t421" href="#t421">421</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t422" href="#t422">422</a></span><span class="t"><span class="str">        Returns</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t423" href="#t423">423</a></span><span class="t"><span class="str">        -------</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t424" href="#t424">424</a></span><span class="t"><span class="str">        f : dtype_f</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t425" href="#t425">425</a></span><span class="t"><span class="str">            The right-hand side divided into two parts.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t426" href="#t426">426</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t427" href="#t427">427</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t428" href="#t428">428</a></span><span class="t">        <span class="nam">f</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">dtype_f</span><span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">V</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t429" href="#t429">429</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t430" href="#t430">430</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">K</span><span class="op">.</span><span class="nam">mult</span><span class="op">(</span><span class="nam">u</span><span class="op">.</span><span class="nam">values</span><span class="op">.</span><span class="nam">vector</span><span class="op">(</span><span class="op">)</span><span class="op">,</span> <span class="nam">f</span><span class="op">.</span><span class="nam">impl</span><span class="op">.</span><span class="nam">values</span><span class="op">.</span><span class="nam">vector</span><span class="op">(</span><span class="op">)</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t431" href="#t431">431</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t432" href="#t432">432</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">g</span><span class="op">.</span><span class="nam">t</span> <span class="op">=</span> <span class="nam">t</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t433" href="#t433">433</a></span><span class="t">        <span class="nam">f</span><span class="op">.</span><span class="nam">expl</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">dtype_u</span><span class="op">(</span><span class="nam">df</span><span class="op">.</span><span class="nam">interpolate</span><span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">g</span><span class="op">,</span> <span class="nam">self</span><span class="op">.</span><span class="nam">V</span><span class="op">)</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t434" href="#t434">434</a></span><span class="t">        <span class="nam">f</span><span class="op">.</span><span class="nam">expl</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">apply_mass_matrix</span><span class="op">(</span><span class="nam">f</span><span class="op">.</span><span class="nam">expl</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t435" href="#t435">435</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t436" href="#t436">436</a></span><span class="t">        <span class="key">return</span> <span class="nam">f</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t437" href="#t437">437</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t438" href="#t438">438</a></span><span class="t">    <span class="key">def</span> <span class="nam">fix_residual</span><span class="op">(</span><span class="nam">self</span><span class="op">,</span> <span class="nam">res</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t439" href="#t439">439</a></span><span class="t">        <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t440" href="#t440">440</a></span><span class="t"><span class="str">        Applies homogeneous Dirichlet boundary conditions to the residual</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t441" href="#t441">441</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t442" href="#t442">442</a></span><span class="t"><span class="str">        Parameters</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t443" href="#t443">443</a></span><span class="t"><span class="str">        ----------</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t444" href="#t444">444</a></span><span class="t"><span class="str">        res : dtype_u</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t445" href="#t445">445</a></span><span class="t"><span class="str">              Residual</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t446" href="#t446">446</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t447" href="#t447">447</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">bc_hom</span><span class="op">.</span><span class="nam">apply</span><span class="op">(</span><span class="nam">res</span><span class="op">.</span><span class="nam">values</span><span class="op">.</span><span class="nam">vector</span><span class="op">(</span><span class="op">)</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t448" href="#t448">448</a></span><span class="t">        <span class="key">return</span> <span class="key">None</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t409" href="#t409">409</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">bc</span><span class="op">.</span><span class="nam">apply</span><span class="op">(</span><span class="nam">T</span><span class="op">,</span> <span class="nam">b</span><span class="op">.</span><span class="nam">values</span><span class="op">.</span><span class="nam">vector</span><span class="op">(</span><span class="op">)</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t410" href="#t410">410</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">bc</span><span class="op">.</span><span class="nam">apply</span><span class="op">(</span><span class="nam">b</span><span class="op">.</span><span class="nam">values</span><span class="op">.</span><span class="nam">vector</span><span class="op">(</span><span class="op">)</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t411" href="#t411">411</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t412" href="#t412">412</a></span><span class="t">        <span class="nam">df</span><span class="op">.</span><span class="nam">solve</span><span class="op">(</span><span class="nam">T</span><span class="op">,</span> <span class="nam">u</span><span class="op">.</span><span class="nam">values</span><span class="op">.</span><span class="nam">vector</span><span class="op">(</span><span class="op">)</span><span class="op">,</span> <span class="nam">b</span><span class="op">.</span><span class="nam">values</span><span class="op">.</span><span class="nam">vector</span><span class="op">(</span><span class="op">)</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t413" href="#t413">413</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t414" href="#t414">414</a></span><span class="t">        <span class="key">return</span> <span class="nam">u</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t415" href="#t415">415</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t416" href="#t416">416</a></span><span class="t">    <span class="key">def</span> <span class="nam">eval_f</span><span class="op">(</span><span class="nam">self</span><span class="op">,</span> <span class="nam">u</span><span class="op">,</span> <span class="nam">t</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t417" href="#t417">417</a></span><span class="t">        <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t418" href="#t418">418</a></span><span class="t"><span class="str">        Routine to evaluate both parts of the right-hand side.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t419" href="#t419">419</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t420" href="#t420">420</a></span><span class="t"><span class="str">        Parameters</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t421" href="#t421">421</a></span><span class="t"><span class="str">        ----------</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t422" href="#t422">422</a></span><span class="t"><span class="str">        u : dtype_u</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t423" href="#t423">423</a></span><span class="t"><span class="str">            Current values of the numerical solution.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t424" href="#t424">424</a></span><span class="t"><span class="str">        t : float</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t425" href="#t425">425</a></span><span class="t"><span class="str">            Current time at which the numerical solution is computed.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t426" href="#t426">426</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t427" href="#t427">427</a></span><span class="t"><span class="str">        Returns</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t428" href="#t428">428</a></span><span class="t"><span class="str">        -------</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t429" href="#t429">429</a></span><span class="t"><span class="str">        f : dtype_f</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t430" href="#t430">430</a></span><span class="t"><span class="str">            The right-hand side divided into two parts.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t431" href="#t431">431</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t432" href="#t432">432</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t433" href="#t433">433</a></span><span class="t">        <span class="nam">f</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">dtype_f</span><span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">V</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t434" href="#t434">434</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t435" href="#t435">435</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">K</span><span class="op">.</span><span class="nam">mult</span><span class="op">(</span><span class="nam">u</span><span class="op">.</span><span class="nam">values</span><span class="op">.</span><span class="nam">vector</span><span class="op">(</span><span class="op">)</span><span class="op">,</span> <span class="nam">f</span><span class="op">.</span><span class="nam">impl</span><span class="op">.</span><span class="nam">values</span><span class="op">.</span><span class="nam">vector</span><span class="op">(</span><span class="op">)</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t436" href="#t436">436</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t437" href="#t437">437</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">g</span><span class="op">.</span><span class="nam">t</span> <span class="op">=</span> <span class="nam">t</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t438" href="#t438">438</a></span><span class="t">        <span class="nam">f</span><span class="op">.</span><span class="nam">expl</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">dtype_u</span><span class="op">(</span><span class="nam">df</span><span class="op">.</span><span class="nam">interpolate</span><span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">g</span><span class="op">,</span> <span class="nam">self</span><span class="op">.</span><span class="nam">V</span><span class="op">)</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t439" href="#t439">439</a></span><span class="t">        <span class="nam">f</span><span class="op">.</span><span class="nam">expl</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">apply_mass_matrix</span><span class="op">(</span><span class="nam">f</span><span class="op">.</span><span class="nam">expl</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t440" href="#t440">440</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t441" href="#t441">441</a></span><span class="t">        <span class="key">return</span> <span class="nam">f</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t442" href="#t442">442</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t443" href="#t443">443</a></span><span class="t">    <span class="key">def</span> <span class="nam">fix_residual</span><span class="op">(</span><span class="nam">self</span><span class="op">,</span> <span class="nam">res</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t444" href="#t444">444</a></span><span class="t">        <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t445" href="#t445">445</a></span><span class="t"><span class="str">        Applies homogeneous Dirichlet boundary conditions to the residual</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t446" href="#t446">446</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t447" href="#t447">447</a></span><span class="t"><span class="str">        Parameters</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t448" href="#t448">448</a></span><span class="t"><span class="str">        ----------</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t449" href="#t449">449</a></span><span class="t"><span class="str">        res : dtype_u</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t450" href="#t450">450</a></span><span class="t"><span class="str">              Residual</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t451" href="#t451">451</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t452" href="#t452">452</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">bc_hom</span><span class="op">.</span><span class="nam">apply</span><span class="op">(</span><span class="nam">res</span><span class="op">.</span><span class="nam">values</span><span class="op">.</span><span class="nam">vector</span><span class="op">(</span><span class="op">)</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t453" href="#t453">453</a></span><span class="t">        <span class="key">return</span> <span class="key">None</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t454" href="#t454">454</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t455" href="#t455">455</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t456" href="#t456">456</a></span><span class="t"><span class="com"># noinspection PyUnusedLocal</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t457" href="#t457">457</a></span><span class="t"><span class="key">class</span> <span class="nam">fenics_heat_mass_timebc</span><span class="op">(</span><span class="nam">fenics_heat_mass</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t458" href="#t458">458</a></span><span class="t">    <span class="str">r"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t459" href="#t459">459</a></span><span class="t"><span class="str">    Example implementing the forced one-dimensional heat equation with time-dependent Dirichlet boundary conditions</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t460" href="#t460">460</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t461" href="#t461">461</a></span><span class="t"><span class="str">    .. math::</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t462" href="#t462">462</a></span><span class="t"><span class="str">        \frac{d u}{d t} = \nu \frac{d^2 u}{d x^2} + f</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t463" href="#t463">463</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t464" href="#t464">464</a></span><span class="t"><span class="str">    for :math:`x \in \Omega:=[0,1]`, where the forcing term :math:`f` is defined by</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t465" href="#t465">465</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t466" href="#t466">466</a></span><span class="t"><span class="str">    .. math::</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t467" href="#t467">467</a></span><span class="t"><span class="str">        f(x, t) = -\cos(\pi x) (\sin(t) - \nu \pi^2 \cos(t)).</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t468" href="#t468">468</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t469" href="#t469">469</a></span><span class="t"><span class="str">    and the boundary conditions are given by</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t470" href="#t470">470</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t471" href="#t471">471</a></span><span class="t"><span class="str">    .. math::</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t472" href="#t472">472</a></span><span class="t"><span class="str">        u(x, t) = \cos(\pi x)\cos(t).</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t473" href="#t473">473</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t474" href="#t474">474</a></span><span class="t"><span class="str">    The exact solution of the problem is given by</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t475" href="#t475">475</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t476" href="#t476">476</a></span><span class="t"><span class="str">    .. math::</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t477" href="#t477">477</a></span><span class="t"><span class="str">        u(x, t) = \cos(\pi x)\cos(t) + c.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t478" href="#t478">478</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t479" href="#t479">479</a></span><span class="t"><span class="str">    In this class the problem is implemented in the way that the spatial part is solved using ``FEniCS`` [1]_. Hence, the problem</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t480" href="#t480">480</a></span><span class="t"><span class="str">    is reformulated to the *weak formulation*</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t481" href="#t481">481</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t482" href="#t482">482</a></span><span class="t"><span class="str">    .. math:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t483" href="#t483">483</a></span><span class="t"><span class="str">        \int_\Omega u_t v\,dx = - \nu \int_\Omega \nabla u \nabla v\,dx + \int_\Omega f v\,dx.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t484" href="#t484">484</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t485" href="#t485">485</a></span><span class="t"><span class="str">    The forcing term is treated explicitly, and is expressed via the mass matrix resulting from the left-hand side term</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t486" href="#t486">486</a></span><span class="t"><span class="str">    :math:`\int_\Omega u_t v\,dx`, and the other part will be treated in an implicit way.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t487" href="#t487">487</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t488" href="#t488">488</a></span><span class="t"><span class="str">    Parameters</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t489" href="#t489">489</a></span><span class="t"><span class="str">    ----------</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t490" href="#t490">490</a></span><span class="t"><span class="str">    c_nvars : int, optional</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t491" href="#t491">491</a></span><span class="t"><span class="str">        Spatial resolution, i.e., numbers of degrees of freedom in space.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t492" href="#t492">492</a></span><span class="t"><span class="str">    t0 : float, optional</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t493" href="#t493">493</a></span><span class="t"><span class="str">        Starting time.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t494" href="#t494">494</a></span><span class="t"><span class="str">    family : str, optional</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t495" href="#t495">495</a></span><span class="t"><span class="str">        Indicates the family of elements used to create the function space</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t496" href="#t496">496</a></span><span class="t"><span class="str">        for the trail and test functions. The default is ``'CG'``, which are the class</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t497" href="#t497">497</a></span><span class="t"><span class="str">        of Continuous Galerkin, a *synonym* for the Lagrange family of elements, see [2]_.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t498" href="#t498">498</a></span><span class="t"><span class="str">    order : int, optional</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t499" href="#t499">499</a></span><span class="t"><span class="str">        Defines the order of the elements in the function space.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t500" href="#t500">500</a></span><span class="t"><span class="str">    refinements : int, optional</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t501" href="#t501">501</a></span><span class="t"><span class="str">        Denotes the refinement of the mesh. ``refinements=2`` refines the mesh by factor :math:`2`.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t502" href="#t502">502</a></span><span class="t"><span class="str">    nu : float, optional</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t503" href="#t503">503</a></span><span class="t"><span class="str">        Diffusion coefficient :math:`\nu`.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t504" href="#t504">504</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t505" href="#t505">505</a></span><span class="t"><span class="str">    Attributes</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t506" href="#t506">506</a></span><span class="t"><span class="str">    ----------</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t507" href="#t507">507</a></span><span class="t"><span class="str">    V : FunctionSpace</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t508" href="#t508">508</a></span><span class="t"><span class="str">        Defines the function space of the trial and test functions.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t509" href="#t509">509</a></span><span class="t"><span class="str">    M : scalar, vector, matrix or higher rank tensor</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t510" href="#t510">510</a></span><span class="t"><span class="str">        Denotes the expression :math:`\int_\Omega u_t v\,dx`.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t511" href="#t511">511</a></span><span class="t"><span class="str">    K : scalar, vector, matrix or higher rank tensor</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t512" href="#t512">512</a></span><span class="t"><span class="str">        Denotes the expression :math:`- \nu \int_\Omega \nabla u \nabla v\,dx`.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t513" href="#t513">513</a></span><span class="t"><span class="str">    g : Expression</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t514" href="#t514">514</a></span><span class="t"><span class="str">        The forcing term :math:`f` in the heat equation.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t515" href="#t515">515</a></span><span class="t"><span class="str">    bc : DirichletBC</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t516" href="#t516">516</a></span><span class="t"><span class="str">        Denotes the time-dependent Dirichlet boundary conditions.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t517" href="#t517">517</a></span><span class="t"><span class="str">    bc_hom : DirichletBC</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t518" href="#t518">518</a></span><span class="t"><span class="str">        Denotes the homogeneous Dirichlet boundary conditions, potentially required for fixing the residual</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t519" href="#t519">519</a></span><span class="t"><span class="str">    fix_bc_for_residual: boolean</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t520" href="#t520">520</a></span><span class="t"><span class="str">        flag to indicate that the residual requires special treatment due to boundary conditions</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t521" href="#t521">521</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t522" href="#t522">522</a></span><span class="t"><span class="str">    References</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t523" href="#t523">523</a></span><span class="t"><span class="str">    ----------</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t524" href="#t524">524</a></span><span class="t"><span class="str">    .. [1] The FEniCS Project Version 1.5. M. S. Alnaes, J. Blechta, J. Hake, A. Johansson, B. Kehlet, A. Logg,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t525" href="#t525">525</a></span><span class="t"><span class="str">        C. Richardson, J. Ring, M. E. Rognes, G. N. Wells. Archive of Numerical Software (2015).</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t526" href="#t526">526</a></span><span class="t"><span class="str">    .. [2] Automated Solution of Differential Equations by the Finite Element Method. A. Logg, K.-A. Mardal, G. N.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t527" href="#t527">527</a></span><span class="t"><span class="str">        Wells and others. Springer (2012).</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t528" href="#t528">528</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t529" href="#t529">529</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t530" href="#t530">530</a></span><span class="t">    <span class="key">def</span> <span class="nam">__init__</span><span class="op">(</span><span class="nam">self</span><span class="op">,</span> <span class="nam">c_nvars</span><span class="op">=</span><span class="num">128</span><span class="op">,</span> <span class="nam">t0</span><span class="op">=</span><span class="num">0.0</span><span class="op">,</span> <span class="nam">family</span><span class="op">=</span><span class="str">'CG'</span><span class="op">,</span> <span class="nam">order</span><span class="op">=</span><span class="num">4</span><span class="op">,</span> <span class="nam">refinements</span><span class="op">=</span><span class="num">1</span><span class="op">,</span> <span class="nam">nu</span><span class="op">=</span><span class="num">0.1</span><span class="op">,</span> <span class="nam">c</span><span class="op">=</span><span class="num">0.0</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t531" href="#t531">531</a></span><span class="t">        <span class="str">"""Initialization routine"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t532" href="#t532">532</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t533" href="#t533">533</a></span><span class="t">        <span class="com"># define the Dirichlet boundary</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t534" href="#t534">534</a></span><span class="t">        <span class="key">def</span> <span class="nam">Boundary</span><span class="op">(</span><span class="nam">x</span><span class="op">,</span> <span class="nam">on_boundary</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t535" href="#t535">535</a></span><span class="t">            <span class="key">return</span> <span class="nam">on_boundary</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t536" href="#t536">536</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t537" href="#t537">537</a></span><span class="t">        <span class="nam">super</span><span class="op">(</span><span class="op">)</span><span class="op">.</span><span class="nam">__init__</span><span class="op">(</span><span class="nam">c_nvars</span><span class="op">,</span> <span class="nam">t0</span><span class="op">,</span> <span class="nam">family</span><span class="op">,</span> <span class="nam">order</span><span class="op">,</span> <span class="nam">refinements</span><span class="op">,</span> <span class="nam">nu</span><span class="op">,</span> <span class="nam">c</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t538" href="#t538">538</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t539" href="#t539">539</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">u_D</span> <span class="op">=</span> <span class="nam">df</span><span class="op">.</span><span class="nam">Expression</span><span class="op">(</span><span class="str">'cos(a*x[0]) * cos(t) + c'</span><span class="op">,</span> <span class="nam">c</span><span class="op">=</span><span class="nam">self</span><span class="op">.</span><span class="nam">c</span><span class="op">,</span> <span class="nam">a</span><span class="op">=</span><span class="nam">np</span><span class="op">.</span><span class="nam">pi</span><span class="op">,</span> <span class="nam">t</span><span class="op">=</span><span class="nam">t0</span><span class="op">,</span> <span class="nam">degree</span><span class="op">=</span><span class="nam">self</span><span class="op">.</span><span class="nam">order</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t540" href="#t540">540</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">bc</span> <span class="op">=</span> <span class="nam">df</span><span class="op">.</span><span class="nam">DirichletBC</span><span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">V</span><span class="op">,</span> <span class="nam">self</span><span class="op">.</span><span class="nam">u_D</span><span class="op">,</span> <span class="nam">Boundary</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t541" href="#t541">541</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">bc_hom</span> <span class="op">=</span> <span class="nam">df</span><span class="op">.</span><span class="nam">DirichletBC</span><span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">V</span><span class="op">,</span> <span class="nam">df</span><span class="op">.</span><span class="nam">Constant</span><span class="op">(</span><span class="num">0</span><span class="op">)</span><span class="op">,</span> <span class="nam">Boundary</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t542" href="#t542">542</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t543" href="#t543">543</a></span><span class="t">        <span class="com"># set forcing term as expression</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t544" href="#t544">544</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">g</span> <span class="op">=</span> <span class="nam">df</span><span class="op">.</span><span class="nam">Expression</span><span class="op">(</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t545" href="#t545">545</a></span><span class="t">            <span class="str">'-cos(a*x[0]) * (sin(t) - b*a*a*cos(t))'</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t546" href="#t546">546</a></span><span class="t">            <span class="nam">a</span><span class="op">=</span><span class="nam">np</span><span class="op">.</span><span class="nam">pi</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t547" href="#t547">547</a></span><span class="t">            <span class="nam">b</span><span class="op">=</span><span class="nam">self</span><span class="op">.</span><span class="nam">nu</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t548" href="#t548">548</a></span><span class="t">            <span class="nam">t</span><span class="op">=</span><span class="nam">self</span><span class="op">.</span><span class="nam">t0</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t549" href="#t549">549</a></span><span class="t">            <span class="nam">degree</span><span class="op">=</span><span class="nam">self</span><span class="op">.</span><span class="nam">order</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t550" href="#t550">550</a></span><span class="t">        <span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t551" href="#t551">551</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t552" href="#t552">552</a></span><span class="t">    <span class="key">def</span> <span class="nam">solve_system</span><span class="op">(</span><span class="nam">self</span><span class="op">,</span> <span class="nam">rhs</span><span class="op">,</span> <span class="nam">factor</span><span class="op">,</span> <span class="nam">u0</span><span class="op">,</span> <span class="nam">t</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t553" href="#t553">553</a></span><span class="t">        <span class="str">r"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t554" href="#t554">554</a></span><span class="t"><span class="str">        Dolfin's linear solver for :math:`(M - factor A) \vec{u} = \vec{rhs}`.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t555" href="#t555">555</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t556" href="#t556">556</a></span><span class="t"><span class="str">        Parameters</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t557" href="#t557">557</a></span><span class="t"><span class="str">        ----------</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t558" href="#t558">558</a></span><span class="t"><span class="str">        rhs : dtype_f</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t559" href="#t559">559</a></span><span class="t"><span class="str">            Right-hand side for the nonlinear system.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t560" href="#t560">560</a></span><span class="t"><span class="str">        factor : float</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t561" href="#t561">561</a></span><span class="t"><span class="str">            Abbrev. for the node-to-node stepsize (or any other factor required).</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t562" href="#t562">562</a></span><span class="t"><span class="str">        u0 : dtype_u</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t563" href="#t563">563</a></span><span class="t"><span class="str">            Initial guess for the iterative solver (not used here so far).</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t564" href="#t564">564</a></span><span class="t"><span class="str">        t : float</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t565" href="#t565">565</a></span><span class="t"><span class="str">            Current time.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t566" href="#t566">566</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t567" href="#t567">567</a></span><span class="t"><span class="str">        Returns</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t568" href="#t568">568</a></span><span class="t"><span class="str">        -------</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t569" href="#t569">569</a></span><span class="t"><span class="str">        u : dtype_u</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t570" href="#t570">570</a></span><span class="t"><span class="str">            Solution.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t571" href="#t571">571</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t572" href="#t572">572</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t573" href="#t573">573</a></span><span class="t">        <span class="nam">u</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">dtype_u</span><span class="op">(</span><span class="nam">u0</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t574" href="#t574">574</a></span><span class="t">        <span class="nam">T</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">M</span> <span class="op">-</span> <span class="nam">factor</span> <span class="op">*</span> <span class="nam">self</span><span class="op">.</span><span class="nam">K</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t575" href="#t575">575</a></span><span class="t">        <span class="nam">b</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">dtype_u</span><span class="op">(</span><span class="nam">rhs</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t576" href="#t576">576</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t577" href="#t577">577</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">u_D</span><span class="op">.</span><span class="nam">t</span> <span class="op">=</span> <span class="nam">t</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t578" href="#t578">578</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t579" href="#t579">579</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">bc</span><span class="op">.</span><span class="nam">apply</span><span class="op">(</span><span class="nam">T</span><span class="op">,</span> <span class="nam">b</span><span class="op">.</span><span class="nam">values</span><span class="op">.</span><span class="nam">vector</span><span class="op">(</span><span class="op">)</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t580" href="#t580">580</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">bc</span><span class="op">.</span><span class="nam">apply</span><span class="op">(</span><span class="nam">b</span><span class="op">.</span><span class="nam">values</span><span class="op">.</span><span class="nam">vector</span><span class="op">(</span><span class="op">)</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t581" href="#t581">581</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t582" href="#t582">582</a></span><span class="t">        <span class="nam">df</span><span class="op">.</span><span class="nam">solve</span><span class="op">(</span><span class="nam">T</span><span class="op">,</span> <span class="nam">u</span><span class="op">.</span><span class="nam">values</span><span class="op">.</span><span class="nam">vector</span><span class="op">(</span><span class="op">)</span><span class="op">,</span> <span class="nam">b</span><span class="op">.</span><span class="nam">values</span><span class="op">.</span><span class="nam">vector</span><span class="op">(</span><span class="op">)</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t583" href="#t583">583</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t584" href="#t584">584</a></span><span class="t">        <span class="key">return</span> <span class="nam">u</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t585" href="#t585">585</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t586" href="#t586">586</a></span><span class="t">    <span class="key">def</span> <span class="nam">u_exact</span><span class="op">(</span><span class="nam">self</span><span class="op">,</span> <span class="nam">t</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t587" href="#t587">587</a></span><span class="t">        <span class="str">r"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t588" href="#t588">588</a></span><span class="t"><span class="str">        Routine to compute the exact solution at time :math:`t`.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t589" href="#t589">589</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t590" href="#t590">590</a></span><span class="t"><span class="str">        Parameters</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t591" href="#t591">591</a></span><span class="t"><span class="str">        ----------</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t592" href="#t592">592</a></span><span class="t"><span class="str">        t : float</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t593" href="#t593">593</a></span><span class="t"><span class="str">            Time of the exact solution.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t594" href="#t594">594</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t595" href="#t595">595</a></span><span class="t"><span class="str">        Returns</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t596" href="#t596">596</a></span><span class="t"><span class="str">        -------</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t597" href="#t597">597</a></span><span class="t"><span class="str">        me : dtype_u</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t598" href="#t598">598</a></span><span class="t"><span class="str">            Exact solution.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t599" href="#t599">599</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t600" href="#t600">600</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t601" href="#t601">601</a></span><span class="t">        <span class="nam">u0</span> <span class="op">=</span> <span class="nam">df</span><span class="op">.</span><span class="nam">Expression</span><span class="op">(</span><span class="str">'cos(a*x[0]) * cos(t) + c'</span><span class="op">,</span> <span class="nam">c</span><span class="op">=</span><span class="nam">self</span><span class="op">.</span><span class="nam">c</span><span class="op">,</span> <span class="nam">a</span><span class="op">=</span><span class="nam">np</span><span class="op">.</span><span class="nam">pi</span><span class="op">,</span> <span class="nam">t</span><span class="op">=</span><span class="nam">t</span><span class="op">,</span> <span class="nam">degree</span><span class="op">=</span><span class="nam">self</span><span class="op">.</span><span class="nam">order</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t602" href="#t602">602</a></span><span class="t">        <span class="nam">me</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">dtype_u</span><span class="op">(</span><span class="nam">df</span><span class="op">.</span><span class="nam">interpolate</span><span class="op">(</span><span class="nam">u0</span><span class="op">,</span> <span class="nam">self</span><span class="op">.</span><span class="nam">V</span><span class="op">)</span><span class="op">,</span> <span class="nam">val</span><span class="op">=</span><span class="nam">self</span><span class="op">.</span><span class="nam">V</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t603" href="#t603">603</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t604" href="#t604">604</a></span><span class="t">        <span class="key">return</span> <span class="nam">me</span>&nbsp;</span><span class="r"></span></p>
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index 82c395ef2d..2c642f246f 100644
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 </li>
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       <li><a href="pySDC/implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.html#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass.bc_hom">bc_hom (fenics_heat_mass attribute)</a>
+
+      <ul>
+        <li><a href="pySDC/implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.html#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass_timebc.bc_hom">(fenics_heat_mass_timebc attribute)</a>
 </li>
+      </ul></li>
       <li><a href="pySDC/implementations.problem_classes.Boussinesq_2D_FD_imex.html#implementations.problem_classes.Boussinesq_2D_FD_imex.boussinesq_2d_imex.bc_hor">bc_hor (boussinesq_2d_imex attribute)</a>
 </li>
       <li><a href="pySDC/implementations.problem_classes.Boussinesq_2D_FD_imex.html#implementations.problem_classes.Boussinesq_2D_FD_imex.boussinesq_2d_imex.bc_ver">bc_ver (boussinesq_2d_imex attribute)</a>
@@ -1244,6 +1250,8 @@ <h2 id="F">F</h2>
       <li><a href="pySDC/implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.html#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat">fenics_heat (class in implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced)</a>
 </li>
       <li><a href="pySDC/implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.html#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass">fenics_heat_mass (class in implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced)</a>
+</li>
+      <li><a href="pySDC/implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.html#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass_timebc">fenics_heat_mass_timebc (class in implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced)</a>
 </li>
       <li><a href="pySDC/implementations.datatype_classes.fenics_mesh.html#implementations.datatype_classes.fenics_mesh.fenics_mesh">fenics_mesh (class in implementations.datatype_classes.fenics_mesh)</a>
 </li>
@@ -1294,7 +1302,11 @@ <h2 id="F">F</h2>
       <li><a href="pySDC/implementations.problem_classes.GeneralizedFisher_1D_PETSc.html#implementations.problem_classes.GeneralizedFisher_1D_PETSc.Fisher_reaction">Fisher_reaction (class in implementations.problem_classes.GeneralizedFisher_1D_PETSc)</a>
 </li>
       <li><a href="pySDC/implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.html#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass.fix_bc_for_residual">fix_bc_for_residual (fenics_heat_mass attribute)</a>
+
+      <ul>
+        <li><a href="pySDC/implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.html#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass_timebc.fix_bc_for_residual">(fenics_heat_mass_timebc attribute)</a>
 </li>
+      </ul></li>
       <li><a href="pySDC/implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.html#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass.fix_residual">fix_residual() (fenics_heat_mass method)</a>
 </li>
       <li><a href="pySDC/core.Level.html#core.Level.level.fold">fold (level attribute)</a>
@@ -1335,6 +1347,8 @@ <h2 id="G">G</h2>
 
       <ul>
         <li><a href="pySDC/implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.html#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass.g">(fenics_heat_mass attribute)</a>
+</li>
+        <li><a href="pySDC/implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.html#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass_timebc.g">(fenics_heat_mass_timebc attribute)</a>
 </li>
       </ul></li>
       <li><a href="pySDC/implementations.problem_classes.FullSolarSystem.html#implementations.problem_classes.FullSolarSystem.full_solar_system.G">G (full_solar_system attribute)</a>
@@ -2565,6 +2579,8 @@ <h2 id="K">K</h2>
 
       <ul>
         <li><a href="pySDC/implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.html#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass.K">(fenics_heat_mass attribute)</a>
+</li>
+        <li><a href="pySDC/implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.html#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass_timebc.K">(fenics_heat_mass_timebc attribute)</a>
 </li>
         <li><a href="pySDC/implementations.problem_classes.VorticityVelocity_2D_FEniCS_periodic.html#implementations.problem_classes.VorticityVelocity_2D_FEniCS_periodic.fenics_vortex_2d.K">(fenics_vortex_2d attribute)</a>
 </li>
@@ -2697,6 +2713,8 @@ <h2 id="M">M</h2>
         <li><a href="pySDC/implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.html#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat.M">(fenics_heat attribute)</a>
 </li>
         <li><a href="pySDC/implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.html#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass.M">(fenics_heat_mass attribute)</a>
+</li>
+        <li><a href="pySDC/implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.html#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass_timebc.M">(fenics_heat_mass_timebc attribute)</a>
 </li>
         <li><a href="pySDC/implementations.problem_classes.VorticityVelocity_2D_FEniCS_periodic.html#implementations.problem_classes.VorticityVelocity_2D_FEniCS_periodic.fenics_vortex_2d.M">(fenics_vortex_2d attribute)</a>
 </li>
@@ -3770,6 +3788,8 @@ <h2 id="S">S</h2>
         <li><a href="pySDC/implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.html#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat.solve_system">(fenics_heat method)</a>
 </li>
         <li><a href="pySDC/implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.html#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass.solve_system">(fenics_heat_mass method)</a>
+</li>
+        <li><a href="pySDC/implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.html#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass_timebc.solve_system">(fenics_heat_mass_timebc method)</a>
 </li>
         <li><a href="pySDC/implementations.problem_classes.VorticityVelocity_2D_FEniCS_periodic.html#implementations.problem_classes.VorticityVelocity_2D_FEniCS_periodic.fenics_vortex_2d.solve_system">(fenics_vortex_2d method)</a>
 </li>
@@ -4026,6 +4046,8 @@ <h2 id="U">U</h2>
         <li><a href="pySDC/implementations.problem_classes.GrayScott_1D_FEniCS_implicit.html#implementations.problem_classes.GrayScott_1D_FEniCS_implicit.fenics_grayscott.u_exact">(fenics_grayscott method)</a>
 </li>
         <li><a href="pySDC/implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.html#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat.u_exact">(fenics_heat method)</a>
+</li>
+        <li><a href="pySDC/implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.html#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass_timebc.u_exact">(fenics_heat_mass_timebc method)</a>
 </li>
         <li><a href="pySDC/implementations.problem_classes.VorticityVelocity_2D_FEniCS_periodic.html#implementations.problem_classes.VorticityVelocity_2D_FEniCS_periodic.fenics_vortex_2d.u_exact">(fenics_vortex_2d method)</a>
 </li>
@@ -4142,14 +4164,16 @@ <h2 id="V">V</h2>
         <li><a href="pySDC/implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.html#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat.V">(fenics_heat attribute)</a>
 </li>
         <li><a href="pySDC/implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.html#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass.V">(fenics_heat_mass attribute)</a>
+</li>
+        <li><a href="pySDC/implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.html#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass_timebc.V">(fenics_heat_mass_timebc attribute)</a>
 </li>
         <li><a href="pySDC/implementations.problem_classes.VorticityVelocity_2D_FEniCS_periodic.html#implementations.problem_classes.VorticityVelocity_2D_FEniCS_periodic.fenics_vortex_2d.V">(fenics_vortex_2d attribute)</a>
 </li>
       </ul></li>
-      <li><a href="pySDC/implementations.datatype_classes.fenics_mesh.html#implementations.datatype_classes.fenics_mesh.fenics_mesh.values">values (fenics_mesh attribute)</a>
-</li>
   </ul></td>
   <td style="width: 33%; vertical-align: top;"><ul>
+      <li><a href="pySDC/implementations.datatype_classes.fenics_mesh.html#implementations.datatype_classes.fenics_mesh.fenics_mesh.values">values (fenics_mesh attribute)</a>
+</li>
       <li><a href="pySDC/implementations.problem_classes.Van_der_Pol_implicit.html#implementations.problem_classes.Van_der_Pol_implicit.vanderpol">vanderpol (class in implementations.problem_classes.Van_der_Pol_implicit)</a>
 </li>
       <li><a href="pySDC/implementations.datatype_classes.particles.html#implementations.datatype_classes.particles.particles.vel">vel (particles attribute)</a>
diff --git a/objects.inv b/objects.inv
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diff --git a/projects/Hamiltonian.html b/projects/Hamiltonian.html
index 68916f9a24..90d6022025 100644
--- a/projects/Hamiltonian.html
+++ b/projects/Hamiltonian.html
@@ -860,7 +860,7 @@ <h2>Fermi-Pasta-Ulam-Tsingou problem<a class="headerlink" href="#fermi-pasta-ula
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">7</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mi">475</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">2.10</span> <span class="o">--</span> <span class="mf">4.42</span>
-<span class="o">...</span> <span class="n">took</span> <span class="mf">46.6917</span> <span class="n">seconds</span> <span class="n">to</span> <span class="n">run</span> <span class="n">this</span><span class="o">.</span>
+<span class="o">...</span> <span class="n">took</span> <span class="mf">47.1512</span> <span class="n">seconds</span> <span class="n">to</span> <span class="n">run</span> <span class="n">this</span><span class="o">.</span>
 </pre></div>
 </div>
 <a class="reference internal image-reference" href="../_images/fput_hamiltonian.png"><img alt="../_images/fput_hamiltonian.png" src="../_images/fput_hamiltonian.png" style="width: 383.0px; height: 212.0px;" /></a>
diff --git a/projects/doc_fput.html b/projects/doc_fput.html
index 582d532054..98e40a84b5 100644
--- a/projects/doc_fput.html
+++ b/projects/doc_fput.html
@@ -284,7 +284,7 @@ <h3>Navigation</h3>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">7</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mi">475</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">2.10</span> <span class="o">--</span> <span class="mf">4.42</span>
-<span class="o">...</span> <span class="n">took</span> <span class="mf">46.6917</span> <span class="n">seconds</span> <span class="n">to</span> <span class="n">run</span> <span class="n">this</span><span class="o">.</span>
+<span class="o">...</span> <span class="n">took</span> <span class="mf">47.1512</span> <span class="n">seconds</span> <span class="n">to</span> <span class="n">run</span> <span class="n">this</span><span class="o">.</span>
 </pre></div>
 </div>
 <a class="reference internal image-reference" href="../_images/fput_hamiltonian.png"><img alt="../_images/fput_hamiltonian.png" src="../_images/fput_hamiltonian.png" style="width: 383.0px; height: 212.0px;" /></a>
diff --git a/pySDC/implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.html b/pySDC/implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.html
index f67e876d09..acbb7b736e 100644
--- a/pySDC/implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.html
+++ b/pySDC/implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.html
@@ -58,14 +58,14 @@ <h3>Navigation</h3>
 \[\frac{d u}{d t} = \nu \frac{d^2 u}{d x^2} + f\]</div>
 <p>for <span class="math notranslate nohighlight">\(x \in \Omega:=[0,1]\)</span>, where the forcing term <span class="math notranslate nohighlight">\(f\)</span> is defined by</p>
 <div class="math notranslate nohighlight">
-\[f(x, t) = -\cos(\pi x) (\sin(t) - \nu \pi^2 \cos(t)).\]</div>
+\[f(x, t) = -\sin(\pi x) (\sin(t) - \nu \pi^2 \cos(t)).\]</div>
 <p>For initial conditions with constant c and</p>
 <div class="math notranslate nohighlight">
 \[u(x, 0) = \sin(\pi x) + c\]</div>
 <p>the exact solution of the problem is given by</p>
 <div class="math notranslate nohighlight">
 \[u(x, t) = \sin(\pi x)\cos(t) + c.\]</div>
-<p>In this class the problem is implemented in the way that the spatial part is solved using <code class="docutils literal notranslate"><span class="pre">FEniCS</span></code> <a href="#id9"><span class="problematic" id="id1">[1]_</span></a>. Hence, the problem
+<p>In this class the problem is implemented in the way that the spatial part is solved using <code class="docutils literal notranslate"><span class="pre">FEniCS</span></code> <a href="#id13"><span class="problematic" id="id1">[1]_</span></a>. Hence, the problem
 is reformulated to the <em>weak formulation</em></p>
 <p>The part containing the forcing term is treated explicitly, where it is interpolated in the function space.
 The other part will be treated in an implicit way.</p>
@@ -76,7 +76,7 @@ <h3>Navigation</h3>
 <li><p><strong>t0</strong> (<em>float</em><em>, </em><em>optional</em>) – Starting time.</p></li>
 <li><p><strong>family</strong> (<em>str</em><em>, </em><em>optional</em>) – Indicates the family of elements used to create the function space
 for the trail and test functions. The default is <code class="docutils literal notranslate"><span class="pre">'CG'</span></code>, which are the class
-of Continuous Galerkin, a <em>synonym</em> for the Lagrange family of elements, see <a href="#id10"><span class="problematic" id="id2">[2]_</span></a>.</p></li>
+of Continuous Galerkin, a <em>synonym</em> for the Lagrange family of elements, see <a href="#id14"><span class="problematic" id="id2">[2]_</span></a>.</p></li>
 <li><p><strong>order</strong> (<em>int</em><em>, </em><em>optional</em>) – Defines the order of the elements in the function space.</p></li>
 <li><p><strong>refinements</strong> (<em>int</em><em>, </em><em>optional</em>) – Denotes the refinement of the mesh. <code class="docutils literal notranslate"><span class="pre">refinements=2</span></code> refines the mesh by factor <span class="math notranslate nohighlight">\(2\)</span>.</p></li>
 <li><p><strong>nu</strong> (<em>float</em><em>, </em><em>optional</em>) – Diffusion coefficient <span class="math notranslate nohighlight">\(\nu\)</span>.</p></li>
@@ -251,11 +251,14 @@ <h3>Navigation</h3>
 \[\frac{d u}{d t} = \nu \frac{d^2 u}{d x^2} + f\]</div>
 <p>for <span class="math notranslate nohighlight">\(x \in \Omega:=[0,1]\)</span>, where the forcing term <span class="math notranslate nohighlight">\(f\)</span> is defined by</p>
 <div class="math notranslate nohighlight">
-\[f(x, t) = -\cos(\pi x) (\sin(t) - \nu \pi^2 \cos(t)).\]</div>
-<p>The exact solution of the problem is</p>
+\[f(x, t) = -\sin(\pi x) (\sin(t) - \nu \pi^2 \cos(t)).\]</div>
+<p>For initial conditions with constant c and</p>
 <div class="math notranslate nohighlight">
-\[u(x, t) = \cos(\pi x)\cos(t).\]</div>
-<p>In this class the problem is implemented in the way that the spatial part is solved using <code class="docutils literal notranslate"><span class="pre">FEniCS</span></code> <a href="#id11"><span class="problematic" id="id5">[1]_</span></a>. Hence, the problem
+\[u(x, 0) = \sin(\pi x) + c\]</div>
+<p>the exact solution of the problem is given by</p>
+<div class="math notranslate nohighlight">
+\[u(x, t) = \sin(\pi x)\cos(t) + c.\]</div>
+<p>In this class the problem is implemented in the way that the spatial part is solved using <code class="docutils literal notranslate"><span class="pre">FEniCS</span></code> <a href="#id15"><span class="problematic" id="id5">[1]_</span></a>. Hence, the problem
 is reformulated to the <em>weak formulation</em></p>
 <p>The forcing term is treated explicitly, and is expressed via the mass matrix resulting from the left-hand side term
 <span class="math notranslate nohighlight">\(\int_\Omega u_t v\,dx\)</span>, and the other part will be treated in an implicit way.</p>
@@ -266,7 +269,7 @@ <h3>Navigation</h3>
 <li><p><strong>t0</strong> (<em>float</em><em>, </em><em>optional</em>) – Starting time.</p></li>
 <li><p><strong>family</strong> (<em>str</em><em>, </em><em>optional</em>) – Indicates the family of elements used to create the function space
 for the trail and test functions. The default is <code class="docutils literal notranslate"><span class="pre">'CG'</span></code>, which are the class
-of Continuous Galerkin, a <em>synonym</em> for the Lagrange family of elements, see <a href="#id12"><span class="problematic" id="id6">[2]_</span></a>.</p></li>
+of Continuous Galerkin, a <em>synonym</em> for the Lagrange family of elements, see <a href="#id16"><span class="problematic" id="id6">[2]_</span></a>.</p></li>
 <li><p><strong>order</strong> (<em>int</em><em>, </em><em>optional</em>) – Defines the order of the elements in the function space.</p></li>
 <li><p><strong>refinements</strong> (<em>int</em><em>, </em><em>optional</em>) – Denotes the refinement of the mesh. <code class="docutils literal notranslate"><span class="pre">refinements=2</span></code> refines the mesh by factor <span class="math notranslate nohighlight">\(2\)</span>.</p></li>
 <li><p><strong>nu</strong> (<em>float</em><em>, </em><em>optional</em>) – Diffusion coefficient <span class="math notranslate nohighlight">\(\nu\)</span>.</p></li>
@@ -418,6 +421,171 @@ <h3>Navigation</h3>
 
 </dd></dl>
 
+<dl class="py class">
+<dt class="sig sig-object py" id="implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass_timebc">
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-name descname"><span class="pre">fenics_heat_mass_timebc</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">c_nvars</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">128</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">t0</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">0.0</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">family</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">'CG'</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">order</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">4</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">refinements</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">1</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">nu</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">0.1</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">c</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">0.0</span></span></em><span class="sig-paren">)</span><a class="reference internal" href="../_modules/implementations/problem_classes/HeatEquation_1D_FEniCS_matrix_forced.html#fenics_heat_mass_timebc"><span class="viewcode-link"><span class="pre">[source]</span></span></a><a class="headerlink" href="#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass_timebc" title="Link to this definition">¶</a></dt>
+<dd><p>Bases: <a class="reference internal" href="#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass" title="implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass"><code class="xref py py-class docutils literal notranslate"><span class="pre">fenics_heat_mass</span></code></a></p>
+<p>Example implementing the forced one-dimensional heat equation with time-dependent Dirichlet boundary conditions</p>
+<div class="math notranslate nohighlight">
+\[\frac{d u}{d t} = \nu \frac{d^2 u}{d x^2} + f\]</div>
+<p>for <span class="math notranslate nohighlight">\(x \in \Omega:=[0,1]\)</span>, where the forcing term <span class="math notranslate nohighlight">\(f\)</span> is defined by</p>
+<div class="math notranslate nohighlight">
+\[f(x, t) = -\cos(\pi x) (\sin(t) - \nu \pi^2 \cos(t)).\]</div>
+<p>and the boundary conditions are given by</p>
+<div class="math notranslate nohighlight">
+\[u(x, t) = \cos(\pi x)\cos(t).\]</div>
+<p>The exact solution of the problem is given by</p>
+<div class="math notranslate nohighlight">
+\[u(x, t) = \cos(\pi x)\cos(t) + c.\]</div>
+<p>In this class the problem is implemented in the way that the spatial part is solved using <code class="docutils literal notranslate"><span class="pre">FEniCS</span></code> <a href="#id17"><span class="problematic" id="id9">[1]_</span></a>. Hence, the problem
+is reformulated to the <em>weak formulation</em></p>
+<p>The forcing term is treated explicitly, and is expressed via the mass matrix resulting from the left-hand side term
+<span class="math notranslate nohighlight">\(\int_\Omega u_t v\,dx\)</span>, and the other part will be treated in an implicit way.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>c_nvars</strong> (<em>int</em><em>, </em><em>optional</em>) – Spatial resolution, i.e., numbers of degrees of freedom in space.</p></li>
+<li><p><strong>t0</strong> (<em>float</em><em>, </em><em>optional</em>) – Starting time.</p></li>
+<li><p><strong>family</strong> (<em>str</em><em>, </em><em>optional</em>) – Indicates the family of elements used to create the function space
+for the trail and test functions. The default is <code class="docutils literal notranslate"><span class="pre">'CG'</span></code>, which are the class
+of Continuous Galerkin, a <em>synonym</em> for the Lagrange family of elements, see <a href="#id18"><span class="problematic" id="id10">[2]_</span></a>.</p></li>
+<li><p><strong>order</strong> (<em>int</em><em>, </em><em>optional</em>) – Defines the order of the elements in the function space.</p></li>
+<li><p><strong>refinements</strong> (<em>int</em><em>, </em><em>optional</em>) – Denotes the refinement of the mesh. <code class="docutils literal notranslate"><span class="pre">refinements=2</span></code> refines the mesh by factor <span class="math notranslate nohighlight">\(2\)</span>.</p></li>
+<li><p><strong>nu</strong> (<em>float</em><em>, </em><em>optional</em>) – Diffusion coefficient <span class="math notranslate nohighlight">\(\nu\)</span>.</p></li>
+</ul>
+</dd>
+</dl>
+<dl class="py attribute">
+<dt class="sig sig-object py" id="implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass_timebc.V">
+<span class="sig-name descname"><span class="pre">V</span></span><a class="headerlink" href="#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass_timebc.V" title="Link to this definition">¶</a></dt>
+<dd><p>Defines the function space of the trial and test functions.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Type<span class="colon">:</span></dt>
+<dd class="field-odd"><p>FunctionSpace</p>
+</dd>
+</dl>
+</dd></dl>
+
+<dl class="py attribute">
+<dt class="sig sig-object py" id="implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass_timebc.M">
+<span class="sig-name descname"><span class="pre">M</span></span><a class="headerlink" href="#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass_timebc.M" title="Link to this definition">¶</a></dt>
+<dd><p>Denotes the expression <span class="math notranslate nohighlight">\(\int_\Omega u_t v\,dx\)</span>.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Type<span class="colon">:</span></dt>
+<dd class="field-odd"><p>scalar, vector, matrix or higher rank tensor</p>
+</dd>
+</dl>
+</dd></dl>
+
+<dl class="py attribute">
+<dt class="sig sig-object py" id="implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass_timebc.K">
+<span class="sig-name descname"><span class="pre">K</span></span><a class="headerlink" href="#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass_timebc.K" title="Link to this definition">¶</a></dt>
+<dd><p>Denotes the expression <span class="math notranslate nohighlight">\(- \nu \int_\Omega \nabla u \nabla v\,dx\)</span>.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Type<span class="colon">:</span></dt>
+<dd class="field-odd"><p>scalar, vector, matrix or higher rank tensor</p>
+</dd>
+</dl>
+</dd></dl>
+
+<dl class="py attribute">
+<dt class="sig sig-object py" id="implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass_timebc.g">
+<span class="sig-name descname"><span class="pre">g</span></span><a class="headerlink" href="#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass_timebc.g" title="Link to this definition">¶</a></dt>
+<dd><p>The forcing term <span class="math notranslate nohighlight">\(f\)</span> in the heat equation.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Type<span class="colon">:</span></dt>
+<dd class="field-odd"><p>Expression</p>
+</dd>
+</dl>
+</dd></dl>
+
+<dl class="py attribute">
+<dt class="sig sig-object py" id="implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass_timebc.bc">
+<span class="sig-name descname"><span class="pre">bc</span></span><a class="headerlink" href="#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass_timebc.bc" title="Link to this definition">¶</a></dt>
+<dd><p>Denotes the time-dependent Dirichlet boundary conditions.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Type<span class="colon">:</span></dt>
+<dd class="field-odd"><p>DirichletBC</p>
+</dd>
+</dl>
+</dd></dl>
+
+<dl class="py attribute">
+<dt class="sig sig-object py" id="implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass_timebc.bc_hom">
+<span class="sig-name descname"><span class="pre">bc_hom</span></span><a class="headerlink" href="#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass_timebc.bc_hom" title="Link to this definition">¶</a></dt>
+<dd><p>Denotes the homogeneous Dirichlet boundary conditions, potentially required for fixing the residual</p>
+<dl class="field-list simple">
+<dt class="field-odd">Type<span class="colon">:</span></dt>
+<dd class="field-odd"><p>DirichletBC</p>
+</dd>
+</dl>
+</dd></dl>
+
+<dl class="py attribute">
+<dt class="sig sig-object py" id="implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass_timebc.fix_bc_for_residual">
+<span class="sig-name descname"><span class="pre">fix_bc_for_residual</span></span><a class="headerlink" href="#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass_timebc.fix_bc_for_residual" title="Link to this definition">¶</a></dt>
+<dd><p>flag to indicate that the residual requires special treatment due to boundary conditions</p>
+<dl class="field-list simple">
+<dt class="field-odd">Type<span class="colon">:</span></dt>
+<dd class="field-odd"><p>boolean</p>
+</dd>
+</dl>
+</dd></dl>
+
+<p class="rubric">References</p>
+<aside class="footnote-list brackets">
+<aside class="footnote brackets" id="id11" role="doc-footnote">
+<span class="label"><span class="fn-bracket">[</span>1<span class="fn-bracket">]</span></span>
+<p>The FEniCS Project Version 1.5. M. S. Alnaes, J. Blechta, J. Hake, A. Johansson, B. Kehlet, A. Logg,
+C. Richardson, J. Ring, M. E. Rognes, G. N. Wells. Archive of Numerical Software (2015).</p>
+</aside>
+<aside class="footnote brackets" id="id12" role="doc-footnote">
+<span class="label"><span class="fn-bracket">[</span>2<span class="fn-bracket">]</span></span>
+<p>Automated Solution of Differential Equations by the Finite Element Method. A. Logg, K.-A. Mardal, G. N.
+Wells and others. Springer (2012).</p>
+</aside>
+</aside>
+<dl class="py method">
+<dt class="sig sig-object py" id="implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass_timebc.solve_system">
+<span class="sig-name descname"><span class="pre">solve_system</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">rhs</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">factor</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">u0</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">t</span></span></em><span class="sig-paren">)</span><a class="reference internal" href="../_modules/implementations/problem_classes/HeatEquation_1D_FEniCS_matrix_forced.html#fenics_heat_mass_timebc.solve_system"><span class="viewcode-link"><span class="pre">[source]</span></span></a><a class="headerlink" href="#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass_timebc.solve_system" title="Link to this definition">¶</a></dt>
+<dd><p>Dolfin’s linear solver for <span class="math notranslate nohighlight">\((M - factor A) \vec{u} = \vec{rhs}\)</span>.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>rhs</strong> (<em>dtype_f</em>) – Right-hand side for the nonlinear system.</p></li>
+<li><p><strong>factor</strong> (<em>float</em>) – Abbrev. for the node-to-node stepsize (or any other factor required).</p></li>
+<li><p><strong>u0</strong> (<em>dtype_u</em>) – Initial guess for the iterative solver (not used here so far).</p></li>
+<li><p><strong>t</strong> (<em>float</em>) – Current time.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p><strong>u</strong> – Solution.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p>dtype_u</p>
+</dd>
+</dl>
+</dd></dl>
+
+<dl class="py method">
+<dt class="sig sig-object py" id="implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass_timebc.u_exact">
+<span class="sig-name descname"><span class="pre">u_exact</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">t</span></span></em><span class="sig-paren">)</span><a class="reference internal" href="../_modules/implementations/problem_classes/HeatEquation_1D_FEniCS_matrix_forced.html#fenics_heat_mass_timebc.u_exact"><span class="viewcode-link"><span class="pre">[source]</span></span></a><a class="headerlink" href="#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass_timebc.u_exact" title="Link to this definition">¶</a></dt>
+<dd><p>Routine to compute the exact solution at time <span class="math notranslate nohighlight">\(t\)</span>.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><p><strong>t</strong> (<em>float</em>) – Time of the exact solution.</p>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p><strong>me</strong> – Exact solution.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p>dtype_u</p>
+</dd>
+</dl>
+</dd></dl>
+
+</dd></dl>
+
 </section>
 
 
@@ -458,6 +626,18 @@ <h3><a href="../index.html">Table of Contents</a></h3>
 <li><a class="reference internal" href="#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass.solve_system"><code class="docutils literal notranslate"><span class="pre">solve_system()</span></code></a></li>
 </ul>
 </li>
+<li><a class="reference internal" href="#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass_timebc"><code class="docutils literal notranslate"><span class="pre">fenics_heat_mass_timebc</span></code></a><ul>
+<li><a class="reference internal" href="#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass_timebc.V"><code class="docutils literal notranslate"><span class="pre">V</span></code></a></li>
+<li><a class="reference internal" href="#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass_timebc.M"><code class="docutils literal notranslate"><span class="pre">M</span></code></a></li>
+<li><a class="reference internal" href="#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass_timebc.K"><code class="docutils literal notranslate"><span class="pre">K</span></code></a></li>
+<li><a class="reference internal" href="#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass_timebc.g"><code class="docutils literal notranslate"><span class="pre">g</span></code></a></li>
+<li><a class="reference internal" href="#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass_timebc.bc"><code class="docutils literal notranslate"><span class="pre">bc</span></code></a></li>
+<li><a class="reference internal" href="#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass_timebc.bc_hom"><code class="docutils literal notranslate"><span class="pre">bc_hom</span></code></a></li>
+<li><a class="reference internal" href="#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass_timebc.fix_bc_for_residual"><code class="docutils literal notranslate"><span class="pre">fix_bc_for_residual</span></code></a></li>
+<li><a class="reference internal" href="#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass_timebc.solve_system"><code class="docutils literal notranslate"><span class="pre">solve_system()</span></code></a></li>
+<li><a class="reference internal" href="#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass_timebc.u_exact"><code class="docutils literal notranslate"><span class="pre">u_exact()</span></code></a></li>
+</ul>
+</li>
 </ul>
 </li>
 </ul>
diff --git a/pySDC/implementations.problem_classes.html b/pySDC/implementations.problem_classes.html
index d6db7558ab..30cdf8d909 100644
--- a/pySDC/implementations.problem_classes.html
+++ b/pySDC/implementations.problem_classes.html
@@ -190,6 +190,7 @@ <h2>Submodules<a class="headerlink" href="#submodules" title="Link to this headi
 <li class="toctree-l1"><a class="reference internal" href="implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.html">implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced module</a><ul>
 <li class="toctree-l2"><a class="reference internal" href="implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.html#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat"><code class="docutils literal notranslate"><span class="pre">fenics_heat</span></code></a></li>
 <li class="toctree-l2"><a class="reference internal" href="implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.html#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass"><code class="docutils literal notranslate"><span class="pre">fenics_heat_mass</span></code></a></li>
+<li class="toctree-l2"><a class="reference internal" href="implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.html#implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass_timebc"><code class="docutils literal notranslate"><span class="pre">fenics_heat_mass_timebc</span></code></a></li>
 </ul>
 </li>
 <li class="toctree-l1"><a class="reference internal" href="implementations.problem_classes.HeatEquation_2D_PETSc_forced.html">implementations.problem_classes.HeatEquation_2D_PETSc_forced module</a><ul>
diff --git a/searchindex.js b/searchindex.js
index 3c3dfcc3d9..abfdde03eb 100644
--- a/searchindex.js
+++ b/searchindex.js
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"&lt;no title&gt;", "&lt;no title&gt;", "&lt;no title&gt;", "&lt;no title&gt;", "Step-1: A first spatial problem", "Step-2: Data structures and my first sweeper", "Step-3: Statistics and a new sweeper", "Step-4: Multilevel SDC", "Step-5: PFASST", "Step-6: Advanced PFASST controllers", "Step-7: pySDC with external libraries", "Step-8: Advanced topics"], "terms": {"back": [0, 1, 2, 4, 5, 6, 7, 8, 165, 191], "main": [0, 1, 2, 5, 9, 12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 36, 39, 62, 63, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "page": [0, 1, 2, 9, 18, 53, 107, 109, 113, 119, 145], "juli": 0, "28": [0, 118], "2023": [0, 107, 109, 113, 139, 171, 173, 192, 193], "For": [0, 1, 3, 4, 6, 8, 9, 12, 15, 18, 26, 33, 34, 36, 42, 45, 62, 63, 65, 66, 88, 91, 92, 94, 95, 96, 97, 99, 102, 106, 107, 109, 112, 119, 121, 124, 139, 140, 144, 145, 146, 149, 150, 180, 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25, 26, 27, 28, 29, 30, 32, 34, 35, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 180, 181, 182, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "merg": [0, 4, 41], "thank": 0, "brownbaerchen": 0, "tlunet": 0, "lisawim": 0, "ikrom96git": 0, "all": [0, 1, 3, 5, 6, 9, 10, 12, 14, 15, 16, 17, 18, 19, 26, 27, 29, 30, 33, 34, 35, 40, 41, 42, 44, 45, 46, 51, 62, 63, 65, 66, 67, 69, 70, 73, 74, 78, 85, 90, 99, 105, 114, 121, 139, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 166, 168, 172, 179, 182, 184, 185, 191, 192, 193, 194, 195, 196, 197, 198], "contribut": [0, 1, 5, 6, 7, 8], "besid": 0, "usual": [0, 6, 18, 77, 195, 197], "bugfix": 0, "polish": 0, "pysdc": [0, 4, 7, 8, 10, 11, 12, 14, 15, 16, 19, 21, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 38, 39, 40, 41, 42, 44, 46, 48, 49, 50, 51, 56, 62, 63, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 94, 99, 118, 122, 124, 126, 141, 144, 156, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 193, 194, 195, 196, 198], "now": [0, 3, 9, 10, 13, 18, 34, 35, 42, 67, 144, 169, 176, 191, 192, 193, 194, 195, 196, 198], "come": [0, 4, 5, 10, 15, 18, 28, 35, 42, 191, 196, 198], "linear": [0, 7, 11, 16, 17, 19, 28, 34, 35, 73, 88, 89, 90, 91, 92, 94, 95, 96, 97, 99, 100, 101, 102, 107, 108, 109, 110, 112, 113, 114, 118, 119, 122, 123, 124, 127, 139, 141, 167, 168, 187, 191, 197], "multistep": [0, 142], "method": [0, 3, 6, 8, 9, 11, 12, 13, 14, 15, 33, 34, 35, 39, 41, 42, 44, 45, 48, 50, 63, 65, 66, 72, 73, 74, 77, 91, 92, 98, 99, 100, 108, 112, 117, 118, 119, 123, 124, 126, 127, 137, 139, 140, 143, 144, 145, 166, 168, 191, 197, 198], "classic": [0, 2, 3, 9, 12, 16, 19, 21, 25, 28, 32, 35, 144], "rung": [0, 66, 72, 144, 145], "kutta": [0, 66, 72, 144, 145], "dae": 0, "sweeper": [0, 3, 6, 9, 11, 12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 37, 38, 46, 65, 70, 72, 77, 143, 144, 145, 146, 147, 148, 149, 150, 152, 153, 154, 156, 169, 170, 171, 172, 173, 174, 176, 177, 178, 179, 180, 181, 182, 185, 186, 187, 189, 190, 194, 195, 196, 197, 198], "more": [0, 2, 3, 5, 7, 8, 9, 10, 12, 13, 16, 18, 19, 25, 32, 33, 35, 55, 66, 71, 72, 121, 124, 169, 173, 174, 176, 177, 178, 185, 191, 192, 193, 194, 195, 197, 198], "improv": [0, 4, 6, 8, 13, 18, 193, 194], "project": [0, 3, 4, 5, 10, 12, 13, 14, 15, 16, 18, 19, 21, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 99, 108, 112, 124, 127, 157, 198], "we": [0, 1, 3, 5, 8, 9, 12, 13, 14, 15, 16, 17, 18, 25, 33, 34, 35, 36, 41, 42, 45, 53, 62, 65, 66, 67, 69, 70, 71, 72, 73, 74, 77, 78, 79, 99, 118, 123, 143, 144, 145, 169, 170, 171, 175, 176, 184, 185, 191, 192, 193, 194, 195, 196, 197, 198], "have": [0, 1, 4, 5, 6, 9, 12, 13, 15, 25, 27, 34, 35, 36, 42, 48, 65, 66, 67, 72, 73, 74, 77, 82, 83, 84, 86, 90, 92, 143, 144, 145, 169, 179, 185, 191, 192, 193, 194, 195, 196, 197, 198], "second": [0, 5, 9, 15, 21, 25, 32, 33, 34, 38, 47, 66, 73, 74, 82, 84, 91, 92, 104, 105, 106, 108, 110, 111, 113, 116, 118, 120, 144, 145, 146, 149, 150, 153, 154, 156, 190, 193, 198], "order": [0, 3, 5, 8, 9, 10, 11, 13, 15, 16, 18, 19, 21, 25, 26, 27, 29, 30, 32, 33, 34, 35, 36, 41, 42, 45, 47, 54, 58, 65, 66, 67, 69, 71, 72, 73, 74, 75, 80, 82, 84, 85, 88, 90, 91, 92, 100, 104, 106, 108, 111, 112, 113, 114, 116, 121, 123, 124, 127, 129, 130, 131, 133, 134, 135, 137, 139, 143, 144, 145, 146, 150, 152, 153, 154, 166, 168, 171, 173, 175, 181, 185, 190, 191, 192, 193, 194, 195, 197, 198], "sdc": [0, 2, 3, 9, 12, 13, 14, 18, 19, 28, 34, 50, 62, 63, 66, 68, 72, 73, 76, 78, 104, 123, 146, 150, 170, 171, 172, 173, 174, 177, 178, 181, 185, 186, 189, 190, 191, 192, 193, 195, 196, 197], "board": [0, 94, 95], "brand": 0, "new": [0, 3, 4, 5, 7, 8, 9, 11, 13, 34, 35, 50, 63, 65, 71, 77, 78, 79, 100, 107, 109, 143, 144, 145, 166, 168, 172, 184, 191, 196], "switch": [0, 65, 66, 72, 99, 101, 102], "estim": [0, 13, 15, 62, 66, 68, 71, 72, 74, 75, 76, 99, 102, 182, 190, 196], "test": [0, 2, 3, 4, 10, 11, 12, 13, 16, 17, 18, 19, 26, 27, 33, 34, 35, 36, 68, 79, 102, 108, 112, 124, 127, 141, 145, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 186, 187, 188, 189, 190, 192, 193, 194, 195, 196, 197, 198], "ground": 0, "compress": [0, 9], "libpressio": [0, 18], "march": [0, 11, 73], "24": [0, 12, 32, 144, 180, 181, 195], "2": [0, 5, 6, 7, 9, 11, 12, 14, 16, 17, 19, 21, 26, 27, 28, 29, 30, 32, 33, 34, 35, 39, 44, 48, 58, 65, 66, 73, 82, 83, 84, 86, 88, 89, 90, 91, 92, 94, 95, 96, 97, 99, 100, 101, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 116, 118, 119, 120, 121, 122, 123, 124, 126, 127, 139, 140, 144, 165, 166, 168, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 189, 190, 191, 193, 194, 195, 196, 197, 198], "i": [0, 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 18, 19, 21, 25, 26, 27, 28, 29, 30, 32, 33, 34, 35, 36, 38, 39, 41, 42, 44, 45, 47, 50, 55, 62, 63, 65, 66, 67, 68, 70, 72, 73, 74, 75, 77, 78, 79, 80, 88, 89, 90, 91, 92, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 116, 117, 118, 119, 120, 121, 122, 123, 124, 126, 127, 139, 140, 141, 143, 144, 145, 146, 147, 148, 149, 150, 152, 153, 154, 156, 164, 165, 166, 168, 169, 170, 171, 172, 173, 175, 176, 177, 179, 180, 181, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "out": [0, 3, 9, 11, 12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 62, 63, 72, 121, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "code": [0, 2, 3, 4, 6, 7, 9, 10, 12, 16, 18, 19, 21, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 70, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "multipl": [0, 13, 18, 41, 42, 44, 50, 65, 73, 74, 149, 176, 181, 185, 186, 192, 193, 194, 195, 196, 197], "direct": [0, 18, 66, 79, 90, 92, 96, 97, 100, 107, 109, 113, 114, 117, 123, 139, 164, 171, 192], "The": [0, 1, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 26, 27, 33, 34, 35, 36, 38, 39, 41, 42, 45, 47, 48, 51, 53, 54, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 88, 89, 90, 91, 92, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 116, 117, 118, 119, 120, 121, 122, 123, 124, 126, 127, 139, 140, 141, 143, 144, 146, 147, 148, 149, 150, 152, 153, 154, 156, 191, 192, 194, 195, 197, 198], "problem": [0, 2, 3, 6, 9, 11, 15, 16, 17, 18, 19, 21, 25, 26, 27, 28, 29, 30, 32, 33, 34, 37, 41, 43, 46, 49, 56, 65, 66, 70, 72, 73, 74, 76, 78, 88, 89, 90, 91, 92, 94, 95, 96, 97, 98, 99, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 116, 117, 118, 119, 120, 121, 122, 123, 124, 126, 127, 137, 139, 140, 141, 146, 150, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 186, 187, 189, 190, 192, 193, 194, 195, 196, 197, 198], "class": [0, 1, 2, 4, 8, 11, 12, 14, 16, 19, 25, 26, 27, 28, 32, 34, 35, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 55, 56, 62, 63, 65, 66, 67, 68, 69, 70, 71, 72, 74, 75, 76, 77, 78, 79, 80, 82, 83, 84, 85, 86, 88, 89, 90, 91, 92, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 116, 117, 118, 119, 120, 121, 122, 123, 124, 126, 127, 131, 136, 137, 139, 140, 141, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 171, 173, 174, 178, 179, 180, 181, 187, 190, 191, 192, 193, 194, 195, 197, 198], "can": [0, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 18, 26, 33, 34, 35, 36, 39, 42, 45, 47, 48, 50, 56, 62, 65, 66, 72, 73, 74, 82, 83, 84, 85, 86, 90, 91, 94, 95, 96, 97, 99, 100, 101, 104, 106, 107, 108, 110, 114, 122, 124, 139, 144, 145, 146, 150, 157, 158, 159, 160, 161, 162, 163, 169, 180, 182, 185, 186, 187, 190, 191, 192, 193, 194, 195, 196, 197, 198], "defin": [0, 2, 3, 6, 7, 9, 34, 36, 38, 39, 48, 50, 66, 67, 68, 70, 76, 78, 79, 80, 101, 102, 103, 106, 107, 108, 111, 112, 113, 127, 139, 146, 150, 171, 173, 181, 192, 193, 194, 195, 197], "paramet": [0, 4, 7, 8, 10, 11, 12, 14, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 36, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 53, 54, 55, 56, 57, 58, 59, 62, 63, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 82, 84, 85, 86, 88, 89, 90, 91, 92, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 116, 117, 118, 119, 120, 121, 122, 123, 124, 126, 127, 139, 140, 141, 143, 144, 145, 146, 149, 150, 151, 152, 156, 157, 159, 160, 161, 162, 163, 164, 166, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "explicitli": [0, 89, 91, 94, 95, 96, 97, 112, 197], "constructor": [0, 7], "dictionari": [0, 12, 16, 19, 21, 25, 26, 27, 28, 32, 34, 35, 40, 42, 43, 44, 50, 57, 65, 66, 67, 68, 70, 74, 76, 78, 79, 80, 99, 124, 149, 166, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 185, 186, 187, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "param": [0, 6, 29, 30, 35, 38, 40, 41, 42, 46, 49, 50, 51, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 156, 157, 158, 159, 160, 161, 162, 163, 164, 166, 168, 170, 175, 191, 192, 194], "properti": [0, 8, 33, 40, 41, 45, 46, 48, 50, 51, 73, 82, 84, 124, 139, 144, 149, 197], "return": [0, 7, 8, 12, 16, 19, 21, 25, 26, 27, 32, 34, 38, 39, 41, 42, 44, 45, 46, 47, 48, 50, 51, 53, 54, 55, 56, 57, 58, 62, 63, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 78, 79, 80, 82, 84, 85, 86, 88, 89, 90, 91, 92, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 116, 117, 118, 119, 120, 121, 122, 123, 124, 126, 127, 139, 140, 141, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 165, 166, 167, 168, 170, 172, 173, 174, 178, 182, 184, 185, 190, 191, 192, 193, 194, 196, 197, 198], "ar": [0, 1, 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 33, 34, 35, 36, 38, 42, 45, 48, 50, 57, 58, 65, 66, 67, 69, 70, 72, 73, 74, 75, 88, 89, 91, 92, 97, 99, 101, 105, 108, 109, 110, 112, 118, 121, 126, 127, 141, 143, 144, 145, 149, 150, 156, 167, 170, 171, 172, 178, 191, 192, 193, 194, 195, 196, 197, 198], "also": [0, 1, 2, 3, 4, 5, 6, 8, 9, 10, 13, 15, 16, 18, 35, 36, 41, 66, 67, 73, 78, 79, 101, 110, 121, 139, 185, 186, 191, 192, 193, 194, 195, 196, 197, 198], "automat": [0, 2, 5, 7, 9, 42, 72], "store": [0, 7, 8, 15, 16, 29, 30, 35, 42, 65, 69, 71, 72, 73, 74, 77, 80, 143, 144, 145, 168, 175, 191, 193, 194], "attribut": 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"resili": [0, 9, 18], "quench": [0, 87], "result": [0, 5, 7, 9, 10, 11, 12, 14, 15, 16, 17, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 42, 44, 65, 77, 112, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "collabor": [0, 18], "between": [0, 6, 13, 18, 26, 27, 34, 38, 39, 42, 50, 65, 66, 67, 69, 71, 72, 73, 75, 77, 91, 92, 100, 101, 106, 113, 118, 123, 156, 157, 158, 159, 160, 161, 162, 163, 165, 177, 178, 189, 191, 192, 194, 196, 198], "eschnaubelt": 0, "dure": [0, 1, 4, 5, 15, 18, 36, 44, 46, 48, 68, 79, 108, 109, 110, 192, 193, 194], "time": [0, 1, 3, 4, 5, 8, 9, 10, 11, 12, 15, 16, 18, 19, 21, 25, 26, 27, 28, 29, 30, 32, 33, 34, 35, 36, 38, 41, 42, 44, 45, 46, 48, 50, 57, 62, 63, 65, 66, 67, 73, 74, 78, 79, 82, 84, 85, 86, 88, 89, 90, 91, 92, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 116, 117, 118, 119, 120, 121, 122, 123, 124, 126, 127, 139, 140, 141, 143, 144, 156, 167, 168, 170, 171, 172, 173, 174, 177, 178, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 198], "x": [0, 3, 5, 8, 9, 11, 12, 21, 25, 28, 29, 30, 32, 35, 39, 42, 45, 54, 88, 89, 90, 91, 92, 94, 95, 96, 97, 100, 106, 107, 108, 109, 110, 111, 112, 113, 114, 116, 119, 121, 124, 158, 160, 162, 165, 166, 168, 191, 197], "app": 0, "hackathon": 0, "usi": 0, "lugano": 0, "mani": [0, 2, 3, 5, 9, 10, 39, 67, 71, 170, 191, 192, 194, 196, 197], "other": [0, 1, 2, 5, 6, 13, 16, 18, 27, 34, 41, 42, 46, 57, 66, 67, 73, 88, 89, 91, 92, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 106, 107, 108, 109, 110, 112, 113, 117, 118, 119, 121, 122, 123, 124, 126, 127, 139, 140, 141, 144, 185, 191, 193, 194, 197], "chang": [0, 4, 5, 7, 13, 36, 63, 65, 66, 72, 73, 76, 99, 101, 102, 192, 193, 195, 197], "under": [0, 3, 9, 10, 18, 33, 195], "hood": 0, "prepar": [0, 5, 12, 21, 25, 32, 42, 194], 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95, 96, 97, 101, 104, 144, 173, 174, 178, 180, 181, 182, 183, 184, 186, 187, 188, 189, 193, 194, 195, 196, 197, 198], "6th": 0, "workshop": 0, "avail": [0, 1, 5, 9, 14, 18, 36, 39, 42, 66, 72, 73, 143, 144], "index": [0, 5, 9, 11, 29, 30, 35, 65, 72, 73, 78, 99, 102], "http": [0, 1, 3, 5, 8, 9, 12, 21, 45, 75, 96, 97, 100, 104, 105, 107, 109, 110, 113, 119, 124, 140, 144, 145], "org": [0, 1, 3, 5, 8, 9, 12, 21, 75, 98, 100, 104, 105, 107, 109, 110, 113, 118, 119, 144, 145], "simpli": [0, 5, 16, 192, 193, 194, 195, 198], "pip": [0, 3, 5, 9, 10], "natur": [0, 1, 11, 118, 124, 193], "notabl": [0, 41, 66], "meet": 0, "standard": [0, 2, 11, 14, 16, 33, 34, 35, 38, 72, 73, 121, 156, 191, 193, 194, 195, 196], "2016": [0, 3, 9, 75, 88, 103, 150], "its": [0, 3, 5, 6, 9, 12, 53, 66, 73, 102, 123, 165, 166, 191, 192, 193, 194, 195], "redesign": 0, "core": [0, 3, 4, 5, 7, 9, 12, 149, 167, 168, 169, 170, 171, 173, 176, 191, 192, 193, 194, 197], "actual": [0, 13, 14, 44, 99, 121, 123, 144, 145, 170, 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89, 90, 91, 92, 94, 95, 96, 97, 104, 106, 107, 108, 109, 110, 112, 113, 114, 119, 123, 127, 139, 156, 158, 160, 162, 165, 166, 169, 175, 179, 180, 181, 187, 190, 192, 193, 195, 197, 198], "discret": [0, 8, 13, 18, 45, 54, 88, 89, 90, 91, 92, 99, 100, 102, 106, 107, 109, 110, 113, 114, 119, 123, 139, 165, 166, 190, 191, 197, 198], "formul": [0, 11, 34, 105, 108, 112, 120, 127, 146, 147, 148, 149, 150, 152, 153, 154, 191], "move": [0, 66, 67, 193], "mlsdc": [0, 3, 9, 12, 34, 50, 62, 63, 177, 178, 185, 186, 195, 196, 197, 198], "inclus": [0, 1, 39], "two": [0, 10, 11, 12, 13, 16, 33, 34, 36, 39, 47, 50, 66, 68, 72, 74, 75, 88, 91, 92, 94, 95, 98, 100, 101, 103, 106, 108, 109, 110, 112, 113, 123, 127, 139, 144, 145, 153, 166, 168, 178, 191, 194, 195, 196, 198], "gener": [0, 6, 7, 9, 11, 15, 17, 23, 33, 35, 39, 47, 48, 54, 56, 94, 95, 106, 107, 109, 119, 139, 143, 148, 149, 185, 193, 194, 197], "input": [0, 10, 13, 48, 56, 58, 107, 109, 148, 192], "nonmpi": [0, 42], "real": [0, 11, 35, 96, 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97, 101, 107, 109, 110, 114, 119, 127, 139, 158, 159, 160, 161, 162, 181, 187, 190, 195, 197, 198], "channel": [1, 5], "term": [1, 10, 47, 73, 92, 94, 95, 104, 112, 113, 114, 121, 123, 192], "lead": [1, 42, 123, 144, 145, 194, 198], "seriou": [1, 198], "sustain": 1, "pattern": 1, "aggress": [1, 14, 185, 197], "disparag": 1, "www": [1, 3, 9, 12, 21, 104, 105, 110, 140], "code_of_conduct": 1, "html": [1, 5, 105, 110, 119], "inspir": [1, 6, 8, 45, 47], "mozilla": 1, "ladder": 1, "answer": [1, 18], "common": [1, 11, 13, 37], "question": [1, 18, 198], "faq": 1, "translat": 1, "develop": [2, 3, 5, 6, 8, 9, 13, 95, 118], "approach": [2, 3, 5, 9, 34, 35, 139, 185, 195, 197], "fork": [2, 4, 5], "extend": [2, 121, 193], "skip": 2, "furthermor": 2, "branch": [2, 5, 15], "pre": [2, 4, 5, 29, 30, 35, 178, 192, 194], "To": [2, 3, 5, 9, 11, 15, 139, 193, 194, 195, 196, 197], "pleas": [2, 3, 5, 9, 15, 44, 57, 66, 72, 79, 144, 145, 149, 192, 193], "addition": [2, 91], "rule": [2, 5, 6, 45, 47, 65, 66, 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123, 127], "finish": [5, 171, 173, 192, 193], "process": [5, 10, 15, 18, 26, 34, 36, 43, 44, 62, 73, 82, 84, 86, 108, 109, 110, 124, 171, 173, 179, 180, 181, 182, 183, 184, 188, 189, 192, 193, 195, 196, 198], "combin": [5, 11, 12, 73, 184, 187, 194, 196, 197], "htmlcov": 5, "favorit": [5, 144], "browser": 5, "did": [5, 12, 16, 19, 21, 25, 28, 29, 30, 32, 35, 73, 166, 167, 168, 169, 170, 171, 175, 184, 187, 191, 192, 194, 196, 197], "ignor": [5, 144, 145, 198], "rais": [5, 6, 7, 12, 16, 19, 25, 26, 27, 32, 34, 42, 70, 184, 185, 196, 197], "tool": [5, 36, 192], "pyproject": [5, 184, 196], "conditionali": 5, "loop": [5, 13, 16, 19, 28, 29, 30, 35, 44, 166, 168, 174, 180, 181, 182, 191, 193, 195, 196], "pragma": 5, "cover": 5, "def": [5, 6, 7, 8, 12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "preced": 5, "think": 5, 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13, 18, 33, 185, 192, 196, 197], "getorthogonalpolynomialcoeffici": 6, "plural": 6, "acronym": 6, "jacobimssdc": 6, "multistepsdcjacobi": 6, "mssdcjacobi": 6, "put": [6, 166, 191, 193, 198], "exception": 6, "special": [6, 9, 11, 12, 25, 32, 34, 92, 106, 107, 112, 173, 174, 178, 193, 194, 198], "mysweep": 6, "initsweep": 6, "getattr": 6, "_initsweep_": 6, "attributeerror": 6, "notimplementederror": [6, 12, 16, 19, 25, 32, 185, 197], "_initsweep_copi": 6, "_initsweep_spread": 6, "_": [6, 8, 11, 12, 21, 25, 32, 45, 110, 112, 119, 171, 173, 190, 192, 193, 198], "chucknorri": 6, "_think": 6, "doubt": 6, "doubl": [6, 66], "__": [6, 171, 173, 192, 193], "left": [6, 11, 12, 14, 21, 25, 32, 33, 39, 45, 54, 58, 90, 91, 92, 94, 95, 96, 97, 106, 107, 112, 113, 114, 116, 121, 139, 150, 166, 168, 191], "__dict__": [6, 55], "node_typ": [6, 39, 47, 167, 168, 177, 191, 194], "equid": [6, 39], "chebi": [6, 39], "quad_typ": [6, 12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 39, 47, 167, 168, 169, 170, 171, 172, 173, 174, 176, 177, 178, 179, 180, 181, 182, 185, 186, 187, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "gauss": [6, 15, 18, 35, 39, 45, 47, 66, 72, 174, 193, 195, 198], "radau": [6, 16, 19, 26, 27, 28, 29, 30, 34, 35, 39, 167, 168, 169, 170, 171, 172, 173, 174, 176, 177, 178, 179, 180, 181, 182, 185, 186, 187, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "lobatto": [6, 12, 21, 25, 32, 39, 47, 174, 193], "string": [6, 16, 19, 41, 42, 46, 57, 139], "distinguish": 6, "select": [6, 66, 74, 124], "probabl": [6, 121, 197], "keep": [6, 10, 41, 42, 48, 54, 74, 141, 182, 196], "replac": [6, 14, 16, 19, 193, 194], "_initsweep_copy_past": 6, "_initsweep_spread_out": 6, "non": [7, 17, 35, 42, 58, 62, 66, 67, 69, 73, 78, 82, 84, 85, 86, 118, 123, 124, 196], "od": [7, 9, 48, 51, 98, 99, 101, 118, 122, 140, 143, 149, 194, 197], "form": [7, 9, 11, 90, 92, 94, 95, 96, 97, 108, 109, 110, 114, 117, 124, 146, 150, 185, 191, 195, 197], "frac": [7, 8, 45, 88, 89, 90, 91, 92, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 116, 117, 118, 119, 120, 121, 122, 124, 126, 127, 139, 140], "du": [7, 16, 19, 108, 109, 110, 117, 140], "dt": [7, 12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 45, 46, 50, 66, 73, 98, 99, 101, 102, 103, 111, 116, 117, 118, 121, 122, 124, 126, 131, 137, 139, 140, 167, 168, 169, 170, 171, 172, 173, 174, 176, 177, 178, 179, 180, 181, 182, 185, 186, 187, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "quad": 7, "u_0": [7, 11, 103], "vector": [7, 8, 11, 45, 54, 58, 65, 73, 74, 104, 105, 107, 108, 109, 112, 120, 127, 158, 162, 167, 168, 191, 192], "scalar": [7, 8, 33, 45, 103, 108, 112, 127, 146, 150], "hand": [7, 18, 42, 48, 51, 54, 65, 73, 77, 88, 89, 91, 92, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 106, 107, 108, 109, 110, 111, 112, 113, 114, 116, 117, 118, 119, 120, 121, 122, 123, 124, 126, 127, 139, 140, 141, 143, 144, 145, 146, 147, 148, 149, 150, 151, 153, 154, 167, 168, 191, 192, 194, 197], "side": [7, 18, 48, 51, 54, 65, 77, 88, 89, 91, 92, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 106, 107, 108, 109, 110, 111, 112, 113, 114, 116, 117, 118, 119, 120, 121, 122, 123, 124, 126, 127, 139, 140, 141, 143, 144, 145, 146, 147, 148, 149, 150, 151, 153, 154, 167, 168, 191, 192, 194, 197], "ptype": [7, 37, 46, 48, 49, 88, 89, 91, 92, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 106, 107, 108, 109, 110, 111, 112, 113, 116, 117, 118, 119, 120, 121, 122, 123, 124, 126, 127, 139, 140, 141], "templat": [7, 36], "lambda": [7, 12, 16, 19, 21, 25, 26, 27, 32, 34, 103, 117, 121, 124, 146, 150, 184, 196], "ct": 7, "complex": [7, 9, 12, 33, 84, 124, 193], "np": [7, 8, 12, 15, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 45, 47, 58, 65, 74, 83, 88, 89, 91, 92, 94, 96, 97, 99, 100, 101, 103, 104, 121, 122, 123, 124, 139, 165, 166, 167, 168, 173, 174, 175, 178, 180, 181, 184, 185, 186, 187, 190, 191, 193, 194, 195, 196, 197, 198], "problemerror": [7, 37, 43], 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180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "rh": [7, 10, 38, 46, 48, 51, 73, 82, 83, 84, 86, 88, 89, 91, 92, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 106, 107, 108, 109, 110, 112, 113, 117, 118, 119, 121, 122, 123, 124, 126, 127, 131, 137, 139, 140, 141, 143, 149, 156], "eval_f": [7, 48, 88, 89, 91, 92, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 106, 107, 108, 109, 110, 111, 112, 113, 114, 116, 117, 118, 119, 120, 121, 122, 123, 124, 126, 127, 139, 140, 141, 165, 166, 191], "f_init": [7, 48], "list": [7, 8, 9, 10, 12, 16, 19, 21, 25, 26, 27, 29, 30, 32, 34, 35, 41, 42, 45, 46, 48, 50, 53, 54, 57, 58, 63, 65, 67, 73, 74, 75, 78, 91, 94, 95, 96, 97, 99, 100, 102, 104, 108, 124, 127, 143, 144, 146, 147, 148, 149, 150, 151, 153, 154, 166, 168, 172, 173, 174, 175, 178, 180, 181, 182, 184, 189, 191, 193, 194, 195, 196, 198], "output": [7, 12, 13, 25, 32, 36, 44, 48, 65, 107, 109, 159, 173, 174, 178, 182, 184, 187, 193, 194, 196, 197], "fals": [7, 12, 16, 19, 32, 41, 42, 44, 53, 54, 58, 62, 63, 67, 72, 105, 117, 119, 120, 124, 139, 147, 148, 149, 150, 151, 152, 153, 171, 173, 178, 182, 185, 186, 187, 189, 190, 192, 193, 194, 196, 197, 198], "docstr": 8, "itself": [8, 13, 42, 73, 123, 194, 198], "describ": [8, 9, 11, 16, 17, 19, 36, 99, 105, 108, 109, 110, 120, 172, 193], "lagrangeapproxim": [8, 37, 45], "approxim": [8, 11, 18, 45, 73, 74, 89, 91, 94, 95, 96, 97, 110, 117, 118, 119, 122, 123, 124, 126], "point": [8, 13, 18, 39, 45, 46, 47, 53, 58, 65, 72, 73, 74, 89, 91, 92, 94, 95, 96, 97, 99, 102, 105, 107, 120, 123, 146, 147, 148, 149, 150, 151, 152, 153, 154, 165, 166, 191], "lagrang": [8, 37, 108, 112, 127, 194], "math": [8, 100, 107, 112], "t_j": [8, 45], "leq": [8, 45, 99, 101, 102, 114, 140], "j": [8, 45, 88, 92, 94, 95, 96, 97, 101, 103, 104, 105, 107, 108, 109, 112, 120, 127, 144], "n": [8, 12, 16, 19, 21, 26, 27, 28, 32, 34, 35, 45, 90, 92, 94, 95, 96, 97, 99, 100, 104, 105, 106, 108, 110, 112, 114, 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99, 103, 104, 121, 123, 139], "scale": [8, 10, 12, 15, 16, 18, 19, 21, 25, 28, 29, 30, 32, 35, 45, 53, 91, 92, 94, 95, 96, 97, 121, 191, 197], "getinterpolationmatrix": [8, 45], "vec": [8, 16, 19, 45, 86, 88, 91, 92, 99, 100, 101, 102, 103, 107, 108, 109, 112, 113, 119, 122, 123, 124, 127, 139], "tau_m": [8, 45], "p_": [8, 45], "inter": [8, 45, 121], "pinter": [8, 45], "2darrai": [8, 45, 101, 121, 122], "row": [8, 45, 65, 67, 73, 74, 107, 150], "column": [8, 45, 73, 107, 124, 150, 167, 168, 191], "cute": 8, "pictur": [8, 12, 18, 21, 36], "cat": 8, "coverag": 9, "flatten": [9, 48], "steep": 9, "curv": 9, "eight": 9, "briefli": [9, 198], "discuss": [9, 196], "along": [9, 13, 121], "highlight": 9, "shown": [9, 12, 16], "ye": [9, 54], "jupyt": [9, 15], "notebook": [9, 15], "awesom": [9, 39], "statist": [9, 12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 44, 57, 59, 62, 63, 91, 172, 173, 174, 178, 180, 181, 182, 184, 185, 186, 187, 188, 189, 190, 194, 195, 196, 197, 198], "gather": [9, 16, 44, 121, 166, 168, 174, 175, 184, 191, 193, 194, 196, 198], "medium": 9, "group": 9, "bori": [9, 12, 121, 146, 193, 194], "becom": [9, 11, 18, 65, 73, 105, 120, 196], "evolv": 9, "proper": 9, "suppos": [9, 196, 198], "focuss": 9, "beyond": [9, 35, 194], "basi": [9, 12, 101], "present": [9, 41, 178, 194], "readm": 9, "intent": 9, "content": 9, "conform": 9, "attempt": 9, "fast": [9, 88, 89, 94, 95, 96, 97, 103, 110, 119, 121, 150], "wave": [9, 88, 89, 103, 106, 107, 150, 165, 166, 191], "rdc": 9, "ration": 9, "asymptot": 9, "fastest": 9, "bayreuth": 9, "modal": 9, "system": [9, 11, 15, 18, 32, 36, 73, 88, 89, 90, 91, 92, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 105, 106, 107, 108, 109, 110, 112, 113, 114, 116, 117, 118, 119, 120, 121, 122, 123, 124, 126, 127, 139, 140, 141, 144, 145, 167, 168, 191, 193, 197], "differenti": [9, 13, 15, 75, 98, 99, 101, 102, 108, 112, 117, 118, 122, 127, 139, 145], "algebra": 9, "helper": [9, 12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 38, 41, 44, 62, 63, 99, 107, 109, 111, 121, 172, 173, 174, 177, 178, 180, 181, 182, 184, 185, 186, 187, 188, 189, 190, 193, 194, 195, 196, 197, 198], "tabl": [9, 39, 41], "search": 9, "materi": 10, "scienc": [10, 198], "paraphas": 10, "partner": 10, "flexibl": 10, "run_simple_forcing_verif": 10, "2d": [10, 11, 16, 33, 65, 74, 90, 92, 100, 113, 114, 160, 186, 197], "against": [10, 34], "known": [10, 11, 13, 42, 94, 95, 118, 121], "circl": [10, 91, 92, 94, 95, 96, 97], "shrink": [10, 167, 168, 191], "drive": [10, 91, 96, 97, 198], "vanish": [10, 73], "numer": [10, 11, 12, 18, 33, 88, 89, 91, 92, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 106, 107, 108, 109, 110, 111, 112, 113, 114, 117, 118, 119, 122, 123, 124, 126, 127, 140, 141, 145], "scheme": [10, 11, 33, 34, 35, 65, 66, 73, 74, 100, 143, 144, 145, 146, 195, 198], "constant": [10, 73, 92, 94, 95, 105, 111, 112, 120, 121, 146, 195, 198], "dw": [10, 91, 96, 97], "radiu": [10, 17, 33, 35, 91, 92, 94, 95, 96, 97], "stai": [10, 101], 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51, 59, 65, 66, 68, 73, 76, 107, 109, 112, 123, 149, 151, 152, 170, 171, 172, 173, 185, 188, 189, 192, 193, 194, 197], "fully_implicit_dae_playground": 11, "arena": 11, "synchronous_machine_playground": 11, "fully_implicit_da": 11, "represent": 11, "aris": [11, 13, 44, 91, 106, 117, 126, 139, 140], "jacobian": [11, 35, 47, 48, 107, 109, 123], "partial_": 11, "singular": [11, 140], "impli": [11, 197], "deriv": [11, 14, 34, 41, 44, 47, 54, 73, 88, 91, 100, 111, 123, 139, 140, 141, 150], "denot": [11, 72, 89, 91, 94, 95, 96, 97, 99, 103, 110, 111, 112, 114, 119, 127], "isol": 11, "picard": [11, 146, 147, 148, 149, 150, 152, 153, 154], "ordinari": [11, 13, 15, 75, 98, 99, 101, 102, 118, 122], "henceforth": 11, "cast": 11, "unknown": [11, 73, 91, 92, 94, 95, 96, 97, 100, 111], "int_0": 11, "tu": 11, "tau": [11, 38, 46, 156, 185, 197], "d": [11, 14, 28, 29, 35, 88, 97, 98, 99, 100, 101, 102, 103, 104, 105, 107, 109, 110, 111, 112, 113, 116, 118, 120, 122, 124, 126, 139, 184, 196], "tild": 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189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "simple_problem": [12, 25], "defaultdict": [12, 21, 25, 32], "plot_help": [12, 16, 19, 21, 25, 28, 29, 30, 32, 35, 52], "plt_helper": [12, 16, 19, 21, 25, 28, 29, 30, 32, 35], "stats_help": [12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 52, 172, 173, 174, 177, 178, 180, 181, 182, 184, 185, 186, 187, 188, 189, 190, 193, 194, 195, 196, 197, 198], "get_sort": [12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 52, 57, 172, 173, 174, 177, 178, 180, 181, 182, 184, 185, 186, 187, 188, 189, 190, 193, 194, 195, 196, 197, 198], "filter_stat": [12, 21, 25, 32, 52, 57, 172, 193], "controller_class": [12, 16, 19, 21, 25, 26, 28, 29, 30, 32, 34, 35, 60, 171, 172, 173, 174, 177, 178, 179, 180, 181, 182, 184, 185, 186, 187, 188, 189, 190, 192, 193, 194, 195, 196, 197, 198], "harmonicoscil": [12, 25, 87], "harmonic_oscil": [12, 25, 87, 111], "henonheil": [12, 25, 87], "henon_heil": [12, 25, 87, 116], "sweeper_class": [12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 46, 60, 169, 170, 171, 172, 173, 174, 176, 177, 178, 179, 180, 181, 182, 185, 186, 187, 189, 190, 192, 193, 194, 195, 196, 197, 198], "transfer_class": [12, 21, 25, 26, 27, 32, 34, 60, 175, 176, 177, 178, 179, 180, 181, 182, 185, 186, 187, 189, 190, 194, 195, 196, 197, 198], "transferparticles_nocoars": [12, 21, 25, 32, 155, 178, 194], "particles_to_particl": [12, 21, 25, 32, 155, 164, 178, 194], "setup_harmon": [12, 25], "everyth": [12, 21, 25, 32, 39, 169, 176, 192, 194], "dict": [12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 40, 41, 42, 44, 50, 56, 57, 59, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 90, 99, 104, 118, 121, 124, 139, 166, 169, 170, 171, 173, 174, 175, 176, 177, 178, 180, 181, 182, 185, 186, 187, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "controller_param": [12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 41, 62, 63, 171, 172, 173, 174, 177, 178, 179, 180, 181, 182, 184, 185, 186, 187, 188, 189, 190, 192, 193, 194, 195, 196, 197, 198], "level_param": [12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 46, 169, 170, 171, 172, 173, 174, 176, 177, 178, 179, 180, 181, 182, 185, 186, 187, 189, 190, 192, 193, 194, 195, 196, 197, 198], "restol": [12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 169, 170, 171, 172, 173, 174, 176, 177, 178, 179, 180, 181, 182, 185, 186, 187, 189, 190, 192, 193, 194, 195, 196, 197, 198], "1e": [12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 90, 91, 92, 98, 99, 100, 102, 106, 107, 109, 110, 113, 114, 117, 118, 119, 123, 126, 139, 169, 170, 171, 172, 173, 174, 176, 177, 178, 179, 180, 181, 182, 185, 186, 187, 189, 190, 192, 193, 194, 195, 196, 197, 198], "sweeper_param": [12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 46, 65, 169, 170, 171, 172, 173, 174, 176, 177, 178, 179, 180, 181, 182, 185, 186, 187, 189, 190, 192, 193, 194, 195, 196, 197, 198], "num_nod": [12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 39, 47, 65, 144, 145, 167, 168, 169, 170, 171, 172, 173, 174, 176, 177, 178, 179, 180, 181, 182, 185, 186, 187, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "initial_guess": [12, 16, 19, 21, 25, 26, 27, 32, 34, 144, 145, 171, 173, 186, 187, 190, 192, 193, 197, 198], "zero": [12, 16, 19, 21, 25, 26, 27, 29, 30, 32, 34, 35, 48, 73, 99, 101, 123, 165, 166, 167, 168, 169, 170, 171, 172, 175, 176, 177, 179, 180, 182, 186, 187, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "problem_param": [12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 46, 166, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 185, 186, 187, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "amp": [12, 25, 111], "step_param": [12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 169, 170, 171, 172, 173, 174, 176, 177, 178, 179, 180, 181, 182, 185, 186, 187, 189, 190, 192, 193, 194, 195, 196, 197, 198], "maxit": [12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 76, 169, 170, 171, 172, 173, 174, 176, 177, 178, 179, 180, 181, 182, 185, 186, 187, 189, 190, 192, 193, 194, 195, 196, 197, 198], "50": [12, 16, 19, 21, 25, 26, 27, 28, 32, 34, 35, 127, 172, 178, 180, 181, 182, 183, 184, 186, 187, 188, 189, 190, 193, 194, 195, 196, 197, 198], "hook_class": [12, 21, 25, 28, 32, 35, 171, 173, 174, 178, 190, 192, 193, 194, 198], "logger_level": [12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 65, 171, 172, 173, 174, 177, 178, 180, 181, 182, 185, 186, 187, 189, 190, 192, 193, 194, 195, 196, 197, 198], "fill": [12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 51, 121, 143, 144, 149, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 176, 177, 178, 179, 180, 181, 182, 185, 186, 187, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "easi": [12, 16, 19, 21, 25, 26, 27, 28, 32, 34, 35, 169, 170, 171, 172, 173, 174, 176, 178, 179, 180, 181, 182, 185, 186, 187, 189, 190, 192, 193, 194, 195, 196, 197, 198], "hierarchi": [12, 21, 25, 28, 32, 35, 62, 63, 149, 170, 171, 172, 173, 174, 176, 178, 179, 185, 192, 193, 197], "space_transfer_class": [12, 16, 19, 21, 25, 26, 27, 32, 34, 38, 50, 156, 176, 177, 178, 179, 180, 181, 182, 185, 186, 187, 189, 190, 194, 195, 196, 197, 198], "setup_henonheil": [12, 25], "run_simul": [12, 21, 25, 32, 172, 174, 186, 190, 193, 197, 198], "prob": [12, 15, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 46, 107, 109, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 176, 177, 178, 180, 181, 182, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "arg": [12, 16, 19, 21, 25, 26, 27, 28, 32, 34, 35, 48, 70, 90, 165, 166, 167, 168, 170, 182, 184, 185, 186, 191, 192, 196, 197], "str": [12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 40, 41, 42, 45, 47, 51, 53, 54, 55, 57, 59, 65, 66, 69, 72, 73, 74, 75, 90, 94, 95, 96, 97, 108, 112, 114, 123, 124, 127, 139, 143, 149, 152, 175, 184, 185, 187, 194, 196, 197], "t0": [12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 41, 62, 63, 108, 112, 167, 168, 171, 172, 173, 174, 177, 178, 180, 181, 182, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "tend": [12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 41, 42, 62, 63, 67, 73, 78, 79, 167, 168, 171, 172, 173, 174, 177, 178, 180, 181, 182, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "num_proc": [12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 62, 63, 171, 172, 173, 174, 177, 178, 179, 180, 181, 182, 184, 185, 186, 188, 189, 190, 192, 193, 194, 195, 196, 197, 198], "maxmeanit": [12, 25, 32], "elif": [12, 16, 19, 25, 26, 27, 28, 29, 30, 32, 34, 35, 185, 190, 197, 198], "instanti": [12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 41, 42, 48, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 165, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 184, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "finest": [12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 50, 62, 63, 66, 72, 73, 78, 171, 172, 173, 174, 177, 178, 180, 181, 182, 184, 185, 186, 187, 188, 189, 190, 192, 193, 194, 195, 196, 197, 198], "uinit": [12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 171, 172, 173, 174, 177, 178, 180, 181, 182, 184, 185, 186, 187, 188, 189, 190, 192, 193, 194, 195, 196, 197, 198], "u_exact": [12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 88, 89, 90, 91, 92, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 116, 117, 118, 119, 120, 121, 122, 123, 124, 126, 127, 140, 141, 166, 167, 168, 170, 171, 172, 173, 177, 180, 181, 182, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "uend": [12, 16, 19, 21, 25, 28, 29, 30, 32, 34, 35, 46, 146, 147, 148, 149, 150, 152, 153, 154, 167, 168, 170, 171, 172, 173, 174, 178, 180, 181, 182, 184, 185, 186, 187, 188, 190, 191, 192, 193, 194, 195, 196, 197, 198], "stat": [12, 16, 19, 21, 25, 28, 29, 30, 32, 35, 41, 44, 57, 59, 62, 63, 171, 172, 173, 174, 178, 180, 181, 182, 184, 185, 186, 187, 188, 190, 192, 193, 194, 195, 196, 197, 198], "u0": [12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 41, 50, 62, 63, 88, 89, 91, 92, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 106, 107, 108, 109, 110, 111, 112, 113, 117, 118, 119, 121, 122, 123, 124, 126, 127, 131, 137, 139, 140, 141, 167, 168, 171, 172, 173, 174, 177, 178, 180, 181, 182, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "filter": [12, 16, 19, 21, 25, 27, 28, 29, 30, 32, 34, 35, 57, 172, 173, 174, 180, 181, 182, 184, 185, 186, 187, 188, 189, 190, 193, 195, 196, 197, 198], "iter_count": [12, 16, 19, 21, 25, 28, 29, 30, 32, 35, 172, 180, 181, 182, 184, 185, 186, 187, 188, 190, 193, 195, 196, 197, 198], "niter": [12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 48, 170, 172, 177, 180, 181, 182, 184, 185, 186, 187, 188, 189, 190, 192, 193, 194, 195, 196, 197, 198], "sortbi": [12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 57, 172, 173, 174, 177, 178, 180, 181, 182, 184, 185, 186, 187, 188, 189, 190, 193, 194, 195, 196, 197, 198], "item": [12, 16, 19, 21, 25, 27, 28, 32, 34, 35, 57, 172, 173, 174, 178, 180, 181, 182, 184, 185, 186, 187, 188, 190, 193, 194, 195, 196, 197, 198], "2f": [12, 16, 19, 21, 25, 28, 32, 35, 170, 172, 175, 180, 181, 182, 184, 185, 186, 187, 188, 189, 190, 192, 193, 194, 195, 196, 197, 198], "2i": [12, 16, 19, 21, 25, 28, 32, 35, 166, 168, 170, 172, 173, 175, 176, 177, 178, 179, 180, 181, 182, 184, 185, 186, 187, 189, 191, 192, 193, 194, 195, 196, 197, 198], "mean": [12, 13, 14, 15, 16, 18, 19, 21, 25, 28, 32, 35, 72, 73, 79, 99, 101, 113, 123, 149, 180, 181, 185, 186, 187, 190, 195, 197, 198], "rang": [12, 16, 19, 21, 25, 28, 29, 30, 32, 35, 99, 107, 123, 165, 166, 168, 175, 176, 179, 180, 181, 185, 186, 187, 190, 191, 194, 195, 197, 198], "ptp": [12, 16, 19, 21, 25, 28, 32, 35, 180, 181, 185, 186, 187, 195, 197], "max": [12, 16, 19, 21, 25, 28, 32, 35, 68, 90, 114, 166, 168, 180, 181, 185, 186, 187, 188, 191, 195, 197, 198], "min": [12, 16, 19, 21, 25, 28, 29, 30, 32, 35, 166, 168, 176, 180, 181, 185, 186, 187, 188, 191, 194, 195, 197, 198], "int": [12, 16, 19, 21, 25, 28, 32, 35, 39, 42, 44, 45, 46, 47, 54, 58, 62, 66, 67, 73, 78, 82, 84, 85, 86, 88, 89, 90, 91, 92, 94, 95, 96, 97, 98, 99, 100, 101, 102, 104, 106, 107, 108, 109, 110, 112, 113, 114, 117, 118, 121, 123, 124, 126, 127, 139, 140, 146, 149, 150, 175, 180, 181, 185, 186, 187, 194, 195, 197], "argmax": [12, 16, 19, 21, 25, 28, 32, 35, 180, 181, 185, 186, 187, 195, 197], "argmin": [12, 16, 19, 21, 25, 28, 32, 35, 180, 181, 185, 186, 187, 195, 197], "std": [12, 16, 19, 21, 25, 28, 32, 35, 180, 181, 185, 186, 187, 195, 197], "var": [12, 16, 19, 21, 25, 28, 32, 35, 180, 181, 185, 186, 187, 195, 197], "float": [12, 16, 19, 21, 25, 26, 27, 28, 32, 34, 35, 39, 41, 42, 46, 47, 48, 50, 53, 54, 66, 67, 70, 73, 78, 88, 89, 90, 91, 92, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 116, 117, 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34, 35, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "slightli": [12, 33, 118, 193, 194], "movement": 12, "planet": [12, 105, 120], "acceler": [12, 48, 65, 81, 85, 104, 105, 111, 116, 120, 121], "due": [12, 17, 18, 33, 112, 194, 196, 197], "gravit": [12, 105, 120], "outersolarsystem": [12, 32, 87], "six": [12, 120], "outer": [12, 32, 35, 120], "sun": [12, 101, 105, 120], "mass": [12, 48, 105, 108, 111, 112, 120, 121, 127, 152, 185, 197], "inner": [12, 39, 165, 166, 191], "jupit": [12, 120], "saturn": [12, 120], "uranu": [12, 120], "neptun": [12, 120], "pluto": [12, 120], "fullsolarsystem": [12, 32, 87], "earth": [12, 105], "moon": [12, 105], "15": [12, 14, 26, 27, 34, 42, 65, 166, 173, 174, 176, 179, 181, 186, 189, 191, 193, 194, 195, 197, 198], "per": [12, 16, 19, 29, 30, 35, 54, 85, 139], "solar_system": [12, 32], "mpl_toolkit": [12, 32], "mplot3d": [12, 32], 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32, 35, 53, 166, 168, 191, 198], "ax": [12, 28, 32, 35, 166, 168, 191], "add_subplot": [12, 32], "111": [12, 32], "3d": [12, 32], "npart": [12, 21, 32, 104, 121, 173, 174, 178, 193, 194], "ndim": [12, 32, 90, 110, 114, 139, 190, 198], "nstep": [12, 21, 32, 180, 181, 190, 195, 198], "po": [12, 21, 32, 85, 121, 173, 193], "idx": [12, 21, 32], "enumer": [12, 21, 32], "wrong": [12, 16, 19, 32, 62, 63, 184, 196], "dimens": [12, 32, 54, 83, 85, 90, 92, 100, 110, 113, 114, 119, 123, 127, 139, 190, 194, 198], "_posit": [12, 32], "06": [12, 16, 19, 26, 27, 32, 34, 90, 114, 123, 144, 166, 170, 171, 172, 173, 174, 180, 186, 191, 192, 193, 195, 197], "74": [12, 32], "75": [12, 26, 27, 32, 34, 180, 181, 182, 183, 184, 188, 189, 190, 195, 196, 198], "56": [12, 32], "18": [12, 26, 27, 32, 34, 173, 186, 189, 193, 197, 198], "02": [12, 26, 27, 32, 34, 89, 100, 144, 173, 186, 193, 197], "37": [12, 32], "40": [12, 32, 75, 172, 186, 189, 193, 197, 198], "54": [12, 32], "famou": 12, "fput": [12, 21, 104], 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19, 28, 29, 30, 35], "generalizedfisher_1d_petsc": [16, 19, 87], "petsc_fisher_multiimplicit": [16, 19, 87, 107], "petsc_fisher_fullyimplicit": [16, 19, 87, 107], "petsc_fisher_semiimplicit": [16, 19, 87, 107], "generic_implicit": [16, 19, 26, 27, 28, 29, 34, 35, 142, 149, 169, 176, 177, 181, 182, 189, 190, 192, 194, 195, 196, 198], "imex_1st_ord": [16, 19, 142, 151, 152, 170, 171, 172, 179, 180, 185, 186, 187, 190, 192, 193, 195, 197, 198], "multi_implicit": [16, 19, 142], "setup_paramet": [16, 19], "relev": [16, 19, 42, 192, 193], "nsweep": [16, 19, 26, 27, 34, 146, 150, 171, 173, 186, 187, 190, 192, 193, 197, 198], "q1": [16, 19, 153], "lu": [16, 19, 26, 27, 28, 29, 34, 35, 124, 169, 176, 177, 180, 181, 182, 186, 187, 189, 190, 192, 194, 195, 196, 197, 198], "q2": [16, 19, 153], "qi": [16, 19, 26, 27, 28, 29, 30, 34, 35, 144, 145, 148, 150, 169, 171, 173, 176, 177, 180, 181, 182, 186, 187, 189, 190, 192, 193, 194, 195, 196, 197, 198], "nu": [16, 19, 26, 27, 28, 29, 30, 34, 35, 89, 92, 94, 95, 106, 107, 112, 113, 114, 127, 165, 166, 167, 168, 169, 170, 171, 172, 175, 176, 177, 179, 180, 182, 185, 187, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "nvar": [16, 19, 26, 27, 28, 29, 30, 34, 35, 88, 89, 90, 91, 92, 94, 95, 96, 97, 100, 106, 107, 109, 110, 114, 119, 123, 139, 165, 166, 167, 168, 169, 170, 171, 172, 175, 176, 177, 179, 180, 181, 182, 186, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "2049": [16, 19], "lambda0": [16, 19, 28, 29, 30, 35, 106, 107], "interv": [16, 19, 28, 29, 30, 35, 39, 45, 46, 73, 91, 106, 107, 121, 146, 147, 148, 149, 150, 151, 152, 153, 154, 167, 168, 170, 172, 191, 192, 193], "nlsol_tol": [16, 19, 107, 109], "nlsol_maxit": [16, 19, 107, 109], "lsol_tol": [16, 19, 107, 109], "lsol_maxit": [16, 19, 107, 109], "space_transfer_param": [16, 19, 26, 27, 34, 38, 49, 50, 156, 175, 176, 177, 179, 180, 181, 182, 187, 189, 190, 194, 195, 196, 197, 198], "finter": [16, 19, 178, 185, 194, 197], "mesh_to_mesh_petsc_dmda": [16, 19, 155, 163, 187, 197], "run_sdc_vari": [16, 19], "bool": [16, 19, 39, 41, 42, 44, 46, 54, 57, 58, 65, 66, 67, 68, 69, 70, 73, 74, 75, 78, 91, 96, 97, 99, 102, 105, 106, 110, 117, 119, 120, 123, 126, 140, 149, 151, 182, 185, 186, 196, 197], "nor": [16, 19], "incomplet": [16, 19, 124], "stuff": [16, 19, 42, 73], "uex": [16, 19, 26, 27, 28, 34, 35, 170, 171, 173, 177, 180, 181, 182, 184, 185, 186, 187, 188, 189, 192, 193, 194, 195, 196, 197, 198], "err": [16, 19, 28, 35, 165, 166, 167, 168, 169, 170, 171, 173, 180, 181, 182, 184, 185, 186, 187, 188, 191, 192, 193, 195, 196, 197, 198], "ab": [16, 19, 26, 28, 34, 35, 165, 166, 168, 170, 171, 173, 174, 175, 177, 178, 180, 181, 182, 184, 185, 186, 187, 188, 189, 191, 192, 193, 194, 195, 196, 197, 198], "count": [16, 17, 19, 26, 27, 29, 30, 34, 35, 41, 42, 48, 91, 99, 102, 118, 121, 126, 140, 172, 181, 182, 184, 189, 192, 193, 194, 195, 196, 198], "snes_itercount": [16, 19, 109], "ksp_itercount": [16, 19, 113], "snes_ncal": [16, 19, 109], 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Responsibilities": [[1, "enforcement-responsibilities"]], "Scope": [[1, "scope"]], "Enforcement": [[1, "enforcement"]], "Enforcement Guidelines": [[1, "enforcement-guidelines"]], "1. Correction": [[1, "correction"]], "2. Warning": [[1, "warning"]], "3. Temporary Ban": [[1, "temporary-ban"]], "4. Permanent Ban": [[1, "permanent-ban"]], "Attribution": [[1, "attribution"]], "How to contribute to pySDC": [[2, "how-to-contribute-to-pysdc"]], "Welcome to pySDC!": [[3, "welcome-to-pysdc"], [9, "welcome-to-pysdc"]], "Features": [[3, "features"], [9, "features"]], "Getting started": [[3, "getting-started"], [9, "getting-started"]], "How to cite": [[3, "how-to-cite"], [9, "how-to-cite"]], "Contributing": [[3, "contributing"], [9, "contributing"]], "Acknowledgements": [[3, "acknowledgements"], [9, "acknowledgements"]], "Recommendations for pull requests": [[4, "recommendations-for-pull-requests"]], "Contributing to the main branch": [[4, "contributing-to-the-main-branch"]], "Release development branches": [[4, "release-development-branches"]], "Feature development branches": [[4, "feature-development-branches"]], "Continuous Integration in pySDC": [[5, "continuous-integration-in-pysdc"]], "Code linting": [[5, "code-linting"]], "Code testing": [[5, "code-testing"]], "Code coverage": [[5, "code-coverage"]], "Coverage exceptions": [[5, "coverage-exceptions"]], "Documentation generation": [[5, "documentation-generation"]], "Naming conventions in pySDC": [[6, "naming-conventions-in-pysdc"]], "First definitions": [[6, "first-definitions"]], "Packages and modules names": [[6, "packages-and-modules-names"]], "Class names": [[6, "class-names"]], "Function and variables names": [[6, "function-and-variables-names"]], "Private and public attributes": [[6, "private-and-public-attributes"]], "Constants": [[6, "constants"]], "Custom implementation guidelines": [[7, "custom-implementation-guidelines"]], "Implementing a custom problem class": [[7, "implementing-a-custom-problem-class"]], "Documenting Code": [[8, "documenting-code"]], "Tests": [[9, "tests"], [15, "tests"]], "User Guide": [[9, "user-guide"]], "Tutorial": [[9, "tutorial"]], "Playgrounds": [[9, "playgrounds"]], "Projects": [[9, "projects"]], "API documentation": [[9, "api-documentation"]], "Allen-Cahn problems from Bayreuth": [[10, "allen-cahn-problems-from-bayreuth"]], "Verification": [[10, "verification"]], "Benchmark": [[10, "benchmark"]], "Application": [[10, "application"]], "Further/related files": [[10, "further-related-files"]], "Solving differential algebraic equations with SDC": [[11, "solving-differential-algebraic-equations-with-sdc"]], "Project overview": [[11, "project-overview"]], "Theoretical details": [[11, "theoretical-details"]], "Second-order Problems": [[12, "second-order-problems"]], "Simple problems": [[12, "simple-problems"]], "Solar system problem": [[12, "solar-system-problem"]], "Fermi-Pasta-Ulam-Tsingou problem": [[12, "fermi-pasta-ulam-tsingou-problem"]], "Parallel-in-time simulation for multi-modal energy systems": [[13, "parallel-in-time-simulation-for-multi-modal-energy-systems"]], "What are switching processes in power systems?": [[13, "what-are-switching-processes-in-power-systems"]], "Pi-line": [[13, "pi-line"]], "Buck converter": [[13, "buck-converter"]], "Battery drain model": [[13, "battery-drain-model"]], "RDC: Rational Deferred Corrections": [[14, "rdc-rational-deferred-corrections"]], "Testing RDC convergence": [[14, "testing-rdc-convergence"]], "Multi-level RDC and PFASST with RDC": [[14, "multi-level-rdc-and-pfasst-with-rdc"]], "Resilience in SDC": [[15, "resilience-in-sdc"]], "Reproduction of the plots in the adaptive SDC paper": [[15, "reproduction-of-the-plots-in-the-adaptive-sdc-paper"]], "What is the fastest SDC variant?": [[16, "what-is-the-fastest-sdc-variant"]], "Fisher and Gray-Scott equations": [[16, "fisher-and-gray-scott-equations"]], "Asymptotic convergence of PFASST": [[17, "asymptotic-convergence-of-pfasst"]], "Organisation of the project": [[17, "organisation-of-the-project"]], "Compression in pySDC": [[18, "compression-in-pysdc"]], "Introduction": [[18, "introduction"]], "Methods": [[18, "methods"]], "Proof of Concept": [[18, "proof-of-concept"]], "Fast-Wave-Slow-Wave SDC": [[33, "fast-wave-slow-wave-sdc"]], "Theoretical results": [[33, "theoretical-results"]], "Acoustic-advection example": [[33, "acoustic-advection-example"]], "Boussinesq example": [[33, "boussinesq-example"]], "Matrix-based versions of PFASST": [[34, "matrix-based-versions-of-pfasst"]], "Matrix-based PFASST": [[34, "matrix-based-pfasst"]], "Propagator-based PFASST": [[34, "propagator-based-pfasst"]], "Attempts to parallelize SDC": [[35, "attempts-to-parallelize-sdc"]], "Different preconditioners for SDC": [[35, "different-preconditioners-for-sdc"]], "Node-parallel SDC with MPI": [[35, "node-parallel-sdc-with-mpi"], [35, "id1"]], "Simplified Newton for nonlinear problems": [[35, "simplified-newton-for-nonlinear-problems"]], "Performance analysis of pySDC": [[36, "performance-analysis-of-pysdc"]], "Python codes": [[36, "python-codes"]], "Jobscripts": [[36, "jobscripts"]], "Results": [[36, "results"]], "core package": [[37, "core-package"]], "Submodules": [[37, "submodules"], [52, "submodules"], [61, "submodules"], [64, 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"core.ConvergenceController module": [[42, "module-core.ConvergenceController"]], "core.Errors module": [[43, "module-core.Errors"]], "core.Hooks module": [[44, "module-core.Hooks"]], "core.Lagrange module": [[45, "module-core.Lagrange"]], "core.Level module": [[46, "module-core.Level"]], "core.Nodes module": [[47, "module-core.Nodes"]], "core.Problem module": [[48, "module-core.Problem"]], "core.SpaceTransfer module": [[49, "module-core.SpaceTransfer"]], "core.Step module": [[50, "module-core.Step"]], "core.Sweeper module": [[51, "module-core.Sweeper"]], "helpers package": [[52, "helpers-package"]], "helpers.plot_helper module": [[53, "module-helpers.plot_helper"]], "helpers.problem_helper module": [[54, "module-helpers.problem_helper"]], "helpers.pysdc_helper module": [[55, "module-helpers.pysdc_helper"]], "helpers.setup_helper module": [[56, "module-helpers.setup_helper"]], "helpers.stats_helper module": [[57, "module-helpers.stats_helper"]], "helpers.transfer_helper module": [[58, "module-helpers.transfer_helper"]], "helpers.visualization_tools module": [[59, "module-helpers.visualization_tools"]], "implementations package": [[60, "implementations-package"]], "Subpackages": [[60, "subpackages"], [87, "subpackages"]], "implementations.controller_classes package": [[61, "implementations-controller-classes-package"]], "implementations.controller_classes.controller_MPI module": [[62, "module-implementations.controller_classes.controller_MPI"]], "implementations.controller_classes.controller_nonMPI module": [[63, "module-implementations.controller_classes.controller_nonMPI"]], "implementations.convergence_controller_classes package": [[64, "implementations-convergence-controller-classes-package"]], "implementations.convergence_controller_classes.adaptive_collocation module": [[65, "module-implementations.convergence_controller_classes.adaptive_collocation"]], "}": [[65, "id3"]], "implementations.convergence_controller_classes.adaptivity module": [[66, "module-implementations.convergence_controller_classes.adaptivity"]], "implementations.convergence_controller_classes.basic_restarting module": [[67, "module-implementations.convergence_controller_classes.basic_restarting"]], "implementations.convergence_controller_classes.check_convergence module": [[68, "module-implementations.convergence_controller_classes.check_convergence"]], "implementations.convergence_controller_classes.check_iteration_estimator module": [[69, "module-implementations.convergence_controller_classes.check_iteration_estimator"]], "implementations.convergence_controller_classes.crash module": [[70, "module-implementations.convergence_controller_classes.crash"]], "implementations.convergence_controller_classes.estimate_contraction_factor module": [[71, "module-implementations.convergence_controller_classes.estimate_contraction_factor"]], "implementations.convergence_controller_classes.estimate_embedded_error module": [[72, "module-implementations.convergence_controller_classes.estimate_embedded_error"]], "implementations.convergence_controller_classes.estimate_extrapolation_error module": [[73, "module-implementations.convergence_controller_classes.estimate_extrapolation_error"]], "Abstract base class for extrapolated error estimates": [[73, "abstract-base-class-for-extrapolated-error-estimates"]], "implementations.convergence_controller_classes.estimate_polynomial_error module": [[74, "module-implementations.convergence_controller_classes.estimate_polynomial_error"]], "implementations.convergence_controller_classes.hotrod module": [[75, "module-implementations.convergence_controller_classes.hotrod"]], "implementations.convergence_controller_classes.inexactness module": [[76, "module-implementations.convergence_controller_classes.inexactness"]], "implementations.convergence_controller_classes.interpolate_between_restarts module": [[77, "module-implementations.convergence_controller_classes.interpolate_between_restarts"]], "implementations.convergence_controller_classes.spread_step_sizes module": [[78, "module-implementations.convergence_controller_classes.spread_step_sizes"]], "implementations.convergence_controller_classes.step_size_limiter module": [[79, "module-implementations.convergence_controller_classes.step_size_limiter"]], "implementations.convergence_controller_classes.store_uold module": [[80, "module-implementations.convergence_controller_classes.store_uold"]], "implementations.datatype_classes package": [[81, "implementations-datatype-classes-package"]], "implementations.datatype_classes.cupy_mesh module": [[82, "module-implementations.datatype_classes.cupy_mesh"]], "implementations.datatype_classes.fenics_mesh module": [[83, "module-implementations.datatype_classes.fenics_mesh"]], "implementations.datatype_classes.mesh module": [[84, "module-implementations.datatype_classes.mesh"]], "implementations.datatype_classes.particles module": [[85, "module-implementations.datatype_classes.particles"]], "implementations.datatype_classes.petsc_vec module": [[86, "module-implementations.datatype_classes.petsc_vec"]], "implementations.problem_classes package": [[87, "implementations-problem-classes-package"]], "implementations.problem_classes.AcousticAdvection_1D_FD_imex module": [[88, "module-implementations.problem_classes.AcousticAdvection_1D_FD_imex"]], "implementations.problem_classes.AdvectionDiffusionEquation_1D_FFT module": [[89, "module-implementations.problem_classes.AdvectionDiffusionEquation_1D_FFT"]], "implementations.problem_classes.AdvectionEquation_ND_FD module": [[90, "module-implementations.problem_classes.AdvectionEquation_ND_FD"]], "implementations.problem_classes.AllenCahn_1D_FD module": [[91, "module-implementations.problem_classes.AllenCahn_1D_FD"]], "implementations.problem_classes.AllenCahn_2D_FD module": [[92, "module-implementations.problem_classes.AllenCahn_2D_FD"]], "implementations.problem_classes.AllenCahn_2D_FD_gpu module": [[93, "implementations-problem-classes-allencahn-2d-fd-gpu-module"]], "implementations.problem_classes.AllenCahn_2D_FFT module": [[94, "module-implementations.problem_classes.AllenCahn_2D_FFT"]], "implementations.problem_classes.AllenCahn_2D_FFT_gpu module": [[95, "module-implementations.problem_classes.AllenCahn_2D_FFT_gpu"]], "implementations.problem_classes.AllenCahn_MPIFFT module": [[96, "module-implementations.problem_classes.AllenCahn_MPIFFT"]], "implementations.problem_classes.AllenCahn_Temp_MPIFFT module": [[97, "module-implementations.problem_classes.AllenCahn_Temp_MPIFFT"]], "implementations.problem_classes.Auzinger_implicit module": [[98, "module-implementations.problem_classes.Auzinger_implicit"]], "implementations.problem_classes.Battery module": [[99, "module-implementations.problem_classes.Battery"]], "implementations.problem_classes.Boussinesq_2D_FD_imex module": [[100, "module-implementations.problem_classes.Boussinesq_2D_FD_imex"]], "implementations.problem_classes.BuckConverter module": [[101, "module-implementations.problem_classes.BuckConverter"]], "implementations.problem_classes.DiscontinuousTestODE module": [[102, "module-implementations.problem_classes.DiscontinuousTestODE"]], "implementations.problem_classes.FastWaveSlowWave_0D module": [[103, "module-implementations.problem_classes.FastWaveSlowWave_0D"]], "implementations.problem_classes.FermiPastaUlamTsingou module": [[104, "module-implementations.problem_classes.FermiPastaUlamTsingou"]], "implementations.problem_classes.FullSolarSystem module": [[105, "module-implementations.problem_classes.FullSolarSystem"]], "implementations.problem_classes.GeneralizedFisher_1D_FD_implicit module": [[106, "module-implementations.problem_classes.GeneralizedFisher_1D_FD_implicit"]], "implementations.problem_classes.GeneralizedFisher_1D_PETSc module": [[107, "module-implementations.problem_classes.GeneralizedFisher_1D_PETSc"]], "implementations.problem_classes.GrayScott_1D_FEniCS_implicit module": [[108, "module-implementations.problem_classes.GrayScott_1D_FEniCS_implicit"]], "implementations.problem_classes.GrayScott_2D_PETSc_periodic module": [[109, "module-implementations.problem_classes.GrayScott_2D_PETSc_periodic"]], "implementations.problem_classes.GrayScott_MPIFFT module": [[110, "module-implementations.problem_classes.GrayScott_MPIFFT"]], "implementations.problem_classes.HarmonicOscillator module": [[111, "module-implementations.problem_classes.HarmonicOscillator"]], "implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced module": [[112, "module-implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced"]], "implementations.problem_classes.HeatEquation_2D_PETSc_forced module": [[113, 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(testequation0dxpu attribute)": [[124, "implementations.problem_classes.TestEquation_0D.testequation0dXPU.A"]], "_comm (testequation0d.mesh attribute)": [[124, "implementations.problem_classes.TestEquation_0D.testequation0d.mesh._comm"]], "bcast() (testequation0d.mesh method)": [[124, "implementations.problem_classes.TestEquation_0D.testequation0d.mesh.bcast"]], "comm (testequation0d.mesh property)": [[124, "implementations.problem_classes.TestEquation_0D.testequation0d.mesh.comm"]], "dtype_f (testequation0d attribute)": [[124, "implementations.problem_classes.TestEquation_0D.testequation0d.dtype_f"]], "dtype_u (testequation0d attribute)": [[124, "implementations.problem_classes.TestEquation_0D.testequation0d.dtype_u"]], "eval_f() (testequation0dxpu method)": [[124, "implementations.problem_classes.TestEquation_0D.testequation0dXPU.eval_f"]], "get_xpu_version() (testequation0dxpu class method)": [[124, 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"implementations.problem_classes.TestEquation_0D.testequation0d.mesh"]], "testequation0dxpu (class in implementations.problem_classes.testequation_0d)": [[124, "implementations.problem_classes.TestEquation_0D.testequation0dXPU"]], "u_exact() (testequation0dxpu method)": [[124, "implementations.problem_classes.TestEquation_0D.testequation0dXPU.u_exact"]], "xp (testequation0d attribute)": [[124, "implementations.problem_classes.TestEquation_0D.testequation0d.xp"]], "xsp (testequation0d attribute)": [[124, "implementations.problem_classes.TestEquation_0D.testequation0d.xsp"]], "dtype_f (vanderpol attribute)": [[126, "implementations.problem_classes.Van_der_Pol_implicit.vanderpol.dtype_f"]], "dtype_u (vanderpol attribute)": [[126, "implementations.problem_classes.Van_der_Pol_implicit.vanderpol.dtype_u"]], "eval_f() (vanderpol method)": [[126, "implementations.problem_classes.Van_der_Pol_implicit.vanderpol.eval_f"]], "implementations.problem_classes.van_der_pol_implicit": [[126, "module-implementations.problem_classes.Van_der_Pol_implicit"]], "solve_system() (vanderpol method)": [[126, "implementations.problem_classes.Van_der_Pol_implicit.vanderpol.solve_system"]], "u_exact() (vanderpol method)": [[126, "implementations.problem_classes.Van_der_Pol_implicit.vanderpol.u_exact"]], "vanderpol (class in implementations.problem_classes.van_der_pol_implicit)": [[126, "implementations.problem_classes.Van_der_Pol_implicit.vanderpol"]], "work_counters (vanderpol attribute)": [[126, "implementations.problem_classes.Van_der_Pol_implicit.vanderpol.work_counters"]], "k (fenics_vortex_2d attribute)": [[127, "implementations.problem_classes.VorticityVelocity_2D_FEniCS_periodic.fenics_vortex_2d.K"]], "m (fenics_vortex_2d attribute)": [[127, "implementations.problem_classes.VorticityVelocity_2D_FEniCS_periodic.fenics_vortex_2d.M"]], "v (fenics_vortex_2d attribute)": [[127, "implementations.problem_classes.VorticityVelocity_2D_FEniCS_periodic.fenics_vortex_2d.V"]], "dtype_f (fenics_vortex_2d attribute)": [[127, "implementations.problem_classes.VorticityVelocity_2D_FEniCS_periodic.fenics_vortex_2d.dtype_f"]], "dtype_u (fenics_vortex_2d attribute)": [[127, "implementations.problem_classes.VorticityVelocity_2D_FEniCS_periodic.fenics_vortex_2d.dtype_u"]], "eval_f() (fenics_vortex_2d method)": [[127, "implementations.problem_classes.VorticityVelocity_2D_FEniCS_periodic.fenics_vortex_2d.eval_f"]], "fenics_vortex_2d (class in implementations.problem_classes.vorticityvelocity_2d_fenics_periodic)": [[127, "implementations.problem_classes.VorticityVelocity_2D_FEniCS_periodic.fenics_vortex_2d"]], "implementations.problem_classes.vorticityvelocity_2d_fenics_periodic": [[127, "module-implementations.problem_classes.VorticityVelocity_2D_FEniCS_periodic"]], "solve_system() (fenics_vortex_2d method)": [[127, "implementations.problem_classes.VorticityVelocity_2D_FEniCS_periodic.fenics_vortex_2d.solve_system"]], "u_exact() (fenics_vortex_2d method)": [[127, "implementations.problem_classes.VorticityVelocity_2D_FEniCS_periodic.fenics_vortex_2d.u_exact"]], "implementations.problem_classes.acoustic_helpers": [[128, "module-implementations.problem_classes.acoustic_helpers"]], "getbcleft() (in module implementations.problem_classes.acoustic_helpers.buildfdmatrix)": [[129, "implementations.problem_classes.acoustic_helpers.buildFDMatrix.getBCLeft"]], "getbcright() (in module implementations.problem_classes.acoustic_helpers.buildfdmatrix)": [[129, "implementations.problem_classes.acoustic_helpers.buildFDMatrix.getBCRight"]], "gethorizontaldx() (in module implementations.problem_classes.acoustic_helpers.buildfdmatrix)": [[129, "implementations.problem_classes.acoustic_helpers.buildFDMatrix.getHorizontalDx"]], "getmatrix() (in module implementations.problem_classes.acoustic_helpers.buildfdmatrix)": [[129, "implementations.problem_classes.acoustic_helpers.buildFDMatrix.getMatrix"]], "implementations.problem_classes.acoustic_helpers.buildfdmatrix": [[129, "module-implementations.problem_classes.acoustic_helpers.buildFDMatrix"]], "getwave1dadvectionmatrix() (in module implementations.problem_classes.acoustic_helpers.buildwave1dmatrix)": [[130, "implementations.problem_classes.acoustic_helpers.buildWave1DMatrix.getWave1DAdvectionMatrix"]], "getwave1dmatrix() (in module implementations.problem_classes.acoustic_helpers.buildwave1dmatrix)": [[130, "implementations.problem_classes.acoustic_helpers.buildWave1DMatrix.getWave1DMatrix"]], "getwavebcleft() (in module implementations.problem_classes.acoustic_helpers.buildwave1dmatrix)": [[130, "implementations.problem_classes.acoustic_helpers.buildWave1DMatrix.getWaveBCLeft"]], "getwavebcright() (in module implementations.problem_classes.acoustic_helpers.buildwave1dmatrix)": [[130, "implementations.problem_classes.acoustic_helpers.buildWave1DMatrix.getWaveBCRight"]], "implementations.problem_classes.acoustic_helpers.buildwave1dmatrix": [[130, "module-implementations.problem_classes.acoustic_helpers.buildWave1DMatrix"]], "bdf2 (class in implementations.problem_classes.acoustic_helpers.standard_integrators)": [[131, "implementations.problem_classes.acoustic_helpers.standard_integrators.bdf2"]], "dirk (class in implementations.problem_classes.acoustic_helpers.standard_integrators)": [[131, "implementations.problem_classes.acoustic_helpers.standard_integrators.dirk"]], "f() (dirk method)": [[131, "implementations.problem_classes.acoustic_helpers.standard_integrators.dirk.f"], [137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.dirk.f"]], "f_fast() (rk_imex method)": [[131, "implementations.problem_classes.acoustic_helpers.standard_integrators.rk_imex.f_fast"], [137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.rk_imex.f_fast"]], "f_fast_solve() (rk_imex method)": [[131, "implementations.problem_classes.acoustic_helpers.standard_integrators.rk_imex.f_fast_solve"], [137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.rk_imex.f_fast_solve"]], "f_slow() (rk_imex method)": [[131, "implementations.problem_classes.acoustic_helpers.standard_integrators.rk_imex.f_slow"], [137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.rk_imex.f_slow"]], "f_solve() (dirk method)": [[131, "implementations.problem_classes.acoustic_helpers.standard_integrators.dirk.f_solve"], [137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.dirk.f_solve"]], "firsttimestep() (bdf2 method)": [[131, "implementations.problem_classes.acoustic_helpers.standard_integrators.bdf2.firsttimestep"], [137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.bdf2.firsttimestep"]], "implementations.problem_classes.acoustic_helpers.standard_integrators": [[131, "module-implementations.problem_classes.acoustic_helpers.standard_integrators"]], "rk_imex (class in implementations.problem_classes.acoustic_helpers.standard_integrators)": [[131, "implementations.problem_classes.acoustic_helpers.standard_integrators.rk_imex"]], "timestep() (bdf2 method)": [[131, "implementations.problem_classes.acoustic_helpers.standard_integrators.bdf2.timestep"], [137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.bdf2.timestep"]], "timestep() (dirk method)": [[131, "implementations.problem_classes.acoustic_helpers.standard_integrators.dirk.timestep"], [137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.dirk.timestep"]], "timestep() (rk_imex method)": [[131, "implementations.problem_classes.acoustic_helpers.standard_integrators.rk_imex.timestep"], [137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.rk_imex.timestep"]], "timestep() (trapezoidal method)": [[131, "implementations.problem_classes.acoustic_helpers.standard_integrators.trapezoidal.timestep"], [137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.trapezoidal.timestep"]], "trapezoidal (class in implementations.problem_classes.acoustic_helpers.standard_integrators)": [[131, "implementations.problem_classes.acoustic_helpers.standard_integrators.trapezoidal"]], "implementations.problem_classes.boussinesq_helpers": [[132, "module-implementations.problem_classes.boussinesq_helpers"]], "get2dmatrix() (in module implementations.problem_classes.boussinesq_helpers.build2dfdmatrix)": [[133, "implementations.problem_classes.boussinesq_helpers.build2DFDMatrix.get2DMatrix"]], "get2dmesh() (in module implementations.problem_classes.boussinesq_helpers.build2dfdmatrix)": [[133, "implementations.problem_classes.boussinesq_helpers.build2DFDMatrix.get2DMesh"]], "get2dupwindmatrix() (in module implementations.problem_classes.boussinesq_helpers.build2dfdmatrix)": [[133, "implementations.problem_classes.boussinesq_helpers.build2DFDMatrix.get2DUpwindMatrix"]], "getbchorizontal() (in module implementations.problem_classes.boussinesq_helpers.build2dfdmatrix)": [[133, "implementations.problem_classes.boussinesq_helpers.build2DFDMatrix.getBCHorizontal"]], "getbcvertical() (in module implementations.problem_classes.boussinesq_helpers.build2dfdmatrix)": [[133, "implementations.problem_classes.boussinesq_helpers.build2DFDMatrix.getBCVertical"]], "implementations.problem_classes.boussinesq_helpers.build2dfdmatrix": [[133, "module-implementations.problem_classes.boussinesq_helpers.build2DFDMatrix"]], "getboussinesq2dmatrix() (in module implementations.problem_classes.boussinesq_helpers.buildboussinesq2dmatrix)": [[134, "implementations.problem_classes.boussinesq_helpers.buildBoussinesq2DMatrix.getBoussinesq2DMatrix"]], "getboussinesq2dupwindmatrix() (in module implementations.problem_classes.boussinesq_helpers.buildboussinesq2dmatrix)": [[134, "implementations.problem_classes.boussinesq_helpers.buildBoussinesq2DMatrix.getBoussinesq2DUpwindMatrix"]], "getboussinesqbchorizontal() (in module implementations.problem_classes.boussinesq_helpers.buildboussinesq2dmatrix)": [[134, "implementations.problem_classes.boussinesq_helpers.buildBoussinesq2DMatrix.getBoussinesqBCHorizontal"]], "getboussinesqbcvertical() (in module implementations.problem_classes.boussinesq_helpers.buildboussinesq2dmatrix)": [[134, "implementations.problem_classes.boussinesq_helpers.buildBoussinesq2DMatrix.getBoussinesqBCVertical"]], "implementations.problem_classes.boussinesq_helpers.buildboussinesq2dmatrix": [[134, "module-implementations.problem_classes.boussinesq_helpers.buildBoussinesq2DMatrix"]], "getbcleft() (in module implementations.problem_classes.boussinesq_helpers.buildfdmatrix)": [[135, "implementations.problem_classes.boussinesq_helpers.buildFDMatrix.getBCLeft"]], "getbcright() (in module implementations.problem_classes.boussinesq_helpers.buildfdmatrix)": [[135, "implementations.problem_classes.boussinesq_helpers.buildFDMatrix.getBCRight"]], "getmatrix() (in module implementations.problem_classes.boussinesq_helpers.buildfdmatrix)": [[135, "implementations.problem_classes.boussinesq_helpers.buildFDMatrix.getMatrix"]], "getupwindmatrix() (in module implementations.problem_classes.boussinesq_helpers.buildfdmatrix)": [[135, "implementations.problem_classes.boussinesq_helpers.buildFDMatrix.getUpwindMatrix"]], "implementations.problem_classes.boussinesq_helpers.buildfdmatrix": [[135, "module-implementations.problem_classes.boussinesq_helpers.buildFDMatrix"]], "callback (class in implementations.problem_classes.boussinesq_helpers.helper_classes)": [[136, "implementations.problem_classes.boussinesq_helpers.helper_classes.Callback"]], "add() (logging method)": [[136, "implementations.problem_classes.boussinesq_helpers.helper_classes.logging.add"]], "getcounter() (callback method)": [[136, "implementations.problem_classes.boussinesq_helpers.helper_classes.Callback.getcounter"]], "getresidual() (callback method)": [[136, "implementations.problem_classes.boussinesq_helpers.helper_classes.Callback.getresidual"]], "implementations.problem_classes.boussinesq_helpers.helper_classes": [[136, "module-implementations.problem_classes.boussinesq_helpers.helper_classes"]], "logging (class in implementations.problem_classes.boussinesq_helpers.helper_classes)": [[136, "implementations.problem_classes.boussinesq_helpers.helper_classes.logging"]], "numsmalltimesteps() (splitexplicit method)": [[137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.SplitExplicit.NumSmallTimeSteps"]], "rk3lin() (splitexplicit method)": [[137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.SplitExplicit.RK3Lin"]], "splitexplicit (class in implementations.problem_classes.boussinesq_helpers.standard_integrators)": [[137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.SplitExplicit"]], "verletlin() (splitexplicit method)": [[137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.SplitExplicit.VerletLin"]], "bdf2 (class in implementations.problem_classes.boussinesq_helpers.standard_integrators)": [[137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.bdf2"]], "dirk (class in implementations.problem_classes.boussinesq_helpers.standard_integrators)": [[137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.dirk"]], "f() (bdf2 method)": [[137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.bdf2.f"]], "f() (trapezoidal method)": [[137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.trapezoidal.f"]], "f_fast() (splitexplicit method)": [[137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.SplitExplicit.f_fast"]], "f_fastmom() (splitexplicit method)": [[137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.SplitExplicit.f_fastMom"]], "f_fastther() (splitexplicit method)": [[137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.SplitExplicit.f_fastTher"]], "f_slow() (splitexplicit method)": [[137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.SplitExplicit.f_slow"]], "f_solve() (bdf2 method)": [[137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.bdf2.f_solve"]], "f_solve() (trapezoidal method)": [[137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.trapezoidal.f_solve"]], "implementations.problem_classes.boussinesq_helpers.standard_integrators": [[137, "module-implementations.problem_classes.boussinesq_helpers.standard_integrators"]], "rk_imex (class in implementations.problem_classes.boussinesq_helpers.standard_integrators)": [[137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.rk_imex"]], "timestep() (splitexplicit method)": [[137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.SplitExplicit.timestep"]], "trapezoidal (class in implementations.problem_classes.boussinesq_helpers.standard_integrators)": [[137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.trapezoidal"]], "implementations.problem_classes.boussinesq_helpers.unflatten": [[138, "module-implementations.problem_classes.boussinesq_helpers.unflatten"]], "unflatten() (in module implementations.problem_classes.boussinesq_helpers.unflatten)": [[138, "implementations.problem_classes.boussinesq_helpers.unflatten.unflatten"]], "a (genericndimfindiff attribute)": [[139, "implementations.problem_classes.generic_ND_FD.GenericNDimFinDiff.A"]], "genericndimfindiff (class in implementations.problem_classes.generic_nd_fd)": [[139, "implementations.problem_classes.generic_ND_FD.GenericNDimFinDiff"]], "id (genericndimfindiff attribute)": [[139, "implementations.problem_classes.generic_ND_FD.GenericNDimFinDiff.Id"]], "dtype_f (genericndimfindiff attribute)": [[139, "implementations.problem_classes.generic_ND_FD.GenericNDimFinDiff.dtype_f"]], "dtype_u (genericndimfindiff attribute)": [[139, "implementations.problem_classes.generic_ND_FD.GenericNDimFinDiff.dtype_u"]], "dx (genericndimfindiff property)": [[139, "implementations.problem_classes.generic_ND_FD.GenericNDimFinDiff.dx"]], "eval_f() (genericndimfindiff method)": [[139, "implementations.problem_classes.generic_ND_FD.GenericNDimFinDiff.eval_f"]], "get_default_sweeper_class() (genericndimfindiff class method)": [[139, "implementations.problem_classes.generic_ND_FD.GenericNDimFinDiff.get_default_sweeper_class"]], "grids (genericndimfindiff property)": [[139, "implementations.problem_classes.generic_ND_FD.GenericNDimFinDiff.grids"]], "implementations.problem_classes.generic_nd_fd": [[139, "module-implementations.problem_classes.generic_ND_FD"]], "ndim (genericndimfindiff property)": [[139, "implementations.problem_classes.generic_ND_FD.GenericNDimFinDiff.ndim"]], "solve_system() (genericndimfindiff method)": [[139, "implementations.problem_classes.generic_ND_FD.GenericNDimFinDiff.solve_system"]], "xvalues (genericndimfindiff attribute)": [[139, "implementations.problem_classes.generic_ND_FD.GenericNDimFinDiff.xvalues"]], "dtype_f (nonlinear_ode_1 attribute)": [[140, "implementations.problem_classes.nonlinear_ODE_1.nonlinear_ODE_1.dtype_f"]], "dtype_u (nonlinear_ode_1 attribute)": [[140, "implementations.problem_classes.nonlinear_ODE_1.nonlinear_ODE_1.dtype_u"]], "eval_f() (nonlinear_ode_1 method)": [[140, "implementations.problem_classes.nonlinear_ODE_1.nonlinear_ODE_1.eval_f"]], "implementations.problem_classes.nonlinear_ode_1": [[140, "module-implementations.problem_classes.nonlinear_ODE_1"]], "newton_itercount (nonlinear_ode_1 attribute)": [[140, "implementations.problem_classes.nonlinear_ODE_1.nonlinear_ODE_1.newton_itercount"]], "newton_ncalls (nonlinear_ode_1 attribute)": [[140, "implementations.problem_classes.nonlinear_ODE_1.nonlinear_ODE_1.newton_ncalls"]], "nonlinear_ode_1 (class in implementations.problem_classes.nonlinear_ode_1)": [[140, "implementations.problem_classes.nonlinear_ODE_1.nonlinear_ODE_1"]], "solve_system() (nonlinear_ode_1 method)": [[140, "implementations.problem_classes.nonlinear_ODE_1.nonlinear_ODE_1.solve_system"]], "u_exact() (nonlinear_ode_1 method)": [[140, "implementations.problem_classes.nonlinear_ODE_1.nonlinear_ODE_1.u_exact"]], "dtype_f (polynomial_testequation attribute)": [[141, "implementations.problem_classes.polynomial_test_problem.polynomial_testequation.dtype_f"]], "dtype_f (polynomial_testequation_imex attribute)": [[141, "implementations.problem_classes.polynomial_test_problem.polynomial_testequation_IMEX.dtype_f"]], "dtype_u (polynomial_testequation attribute)": [[141, "implementations.problem_classes.polynomial_test_problem.polynomial_testequation.dtype_u"]], "eval_f() (polynomial_testequation method)": [[141, "implementations.problem_classes.polynomial_test_problem.polynomial_testequation.eval_f"]], "eval_f() (polynomial_testequation_imex method)": [[141, "implementations.problem_classes.polynomial_test_problem.polynomial_testequation_IMEX.eval_f"]], "implementations.problem_classes.polynomial_test_problem": [[141, "module-implementations.problem_classes.polynomial_test_problem"]], "polynomial_testequation (class in implementations.problem_classes.polynomial_test_problem)": [[141, "implementations.problem_classes.polynomial_test_problem.polynomial_testequation"]], "polynomial_testequation_imex (class in implementations.problem_classes.polynomial_test_problem)": [[141, "implementations.problem_classes.polynomial_test_problem.polynomial_testequation_IMEX"]], "solve_system() (polynomial_testequation method)": [[141, "implementations.problem_classes.polynomial_test_problem.polynomial_testequation.solve_system"]], "u_exact() (polynomial_testequation method)": [[141, "implementations.problem_classes.polynomial_test_problem.polynomial_testequation.u_exact"]], "implementations.sweeper_classes": [[142, "module-implementations.sweeper_classes"]], "adamsbashforthexplicit1step (class in implementations.sweeper_classes.multistep)": [[143, "implementations.sweeper_classes.Multistep.AdamsBashforthExplicit1Step"]], "adamsmoultonimplicit1step (class in implementations.sweeper_classes.multistep)": [[143, "implementations.sweeper_classes.Multistep.AdamsMoultonImplicit1Step"]], "adamsmoultonimplicit2step (class in implementations.sweeper_classes.multistep)": [[143, "implementations.sweeper_classes.Multistep.AdamsMoultonImplicit2Step"]], "backwardeuler (class in implementations.sweeper_classes.multistep)": [[143, "implementations.sweeper_classes.Multistep.BackwardEuler"]], "cache (class in implementations.sweeper_classes.multistep)": [[143, "implementations.sweeper_classes.Multistep.Cache"]], "multistep (class in implementations.sweeper_classes.multistep)": 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"implementations.sweeper_classes.Multistep.AdamsMoultonImplicit2Step.beta"]], "beta (backwardeuler attribute)": [[143, "implementations.sweeper_classes.Multistep.BackwardEuler.beta"]], "beta (multistep attribute)": [[143, "implementations.sweeper_classes.Multistep.MultiStep.beta"]], "compute_end_point() (multistep method)": [[143, "implementations.sweeper_classes.Multistep.MultiStep.compute_end_point"]], "compute_residual() (multistep method)": [[143, "implementations.sweeper_classes.Multistep.MultiStep.compute_residual"]], "generate_starting_values() (adamsmoultonimplicit2step method)": [[143, "implementations.sweeper_classes.Multistep.AdamsMoultonImplicit2Step.generate_starting_values"]], "generate_starting_values() (multistep method)": [[143, "implementations.sweeper_classes.Multistep.MultiStep.generate_starting_values"]], "implementations.sweeper_classes.multistep": [[143, "module-implementations.sweeper_classes.Multistep"]], "predict() (multistep method)": [[143, 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\ No newline at end of file
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"&lt;no title&gt;", "&lt;no title&gt;", "&lt;no title&gt;", "&lt;no title&gt;", "Step-1: A first spatial problem", "Step-2: Data structures and my first sweeper", "Step-3: Statistics and a new sweeper", "Step-4: Multilevel SDC", "Step-5: PFASST", "Step-6: Advanced PFASST controllers", "Step-7: pySDC with external libraries", "Step-8: Advanced topics"], "terms": {"back": [0, 1, 2, 4, 5, 6, 7, 8, 165, 191], "main": [0, 1, 2, 5, 9, 12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 36, 39, 62, 63, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "page": [0, 1, 2, 9, 18, 53, 107, 109, 113, 119, 145], "juli": 0, "28": [0, 118, 171, 173, 192, 193], "2023": [0, 107, 109, 113, 139, 171, 173, 192, 193], "For": [0, 1, 3, 4, 6, 8, 9, 12, 15, 18, 26, 33, 34, 36, 42, 45, 62, 63, 65, 66, 88, 91, 92, 94, 95, 96, 97, 99, 102, 106, 107, 109, 112, 119, 121, 124, 139, 140, 144, 145, 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38, 46, 65, 70, 72, 77, 143, 144, 145, 146, 147, 148, 149, 150, 152, 153, 154, 156, 169, 170, 171, 172, 173, 174, 176, 177, 178, 179, 180, 181, 182, 185, 186, 187, 189, 190, 194, 195, 196, 197, 198], "more": [0, 2, 3, 5, 7, 8, 9, 10, 12, 13, 16, 18, 19, 25, 32, 33, 35, 55, 66, 71, 72, 121, 124, 169, 173, 174, 176, 177, 178, 185, 191, 192, 193, 194, 195, 197, 198], "improv": [0, 4, 6, 8, 13, 18, 193, 194], "project": [0, 3, 4, 5, 10, 12, 13, 14, 15, 16, 18, 19, 21, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 99, 108, 112, 124, 127, 157, 198], "we": [0, 1, 3, 5, 8, 9, 12, 13, 14, 15, 16, 17, 18, 25, 33, 34, 35, 36, 41, 42, 45, 53, 62, 65, 66, 67, 69, 70, 71, 72, 73, 74, 77, 78, 79, 99, 118, 123, 143, 144, 145, 169, 170, 171, 175, 176, 184, 185, 191, 192, 193, 194, 195, 196, 197, 198], "have": [0, 1, 4, 5, 6, 9, 12, 13, 15, 25, 27, 34, 35, 36, 42, 48, 65, 66, 67, 72, 73, 74, 77, 82, 83, 84, 86, 90, 92, 143, 144, 145, 169, 179, 185, 191, 192, 193, 194, 195, 196, 197, 198], "second": [0, 5, 9, 15, 21, 25, 32, 33, 34, 38, 47, 66, 73, 74, 82, 84, 91, 92, 104, 105, 106, 108, 110, 111, 113, 116, 118, 120, 144, 145, 146, 149, 150, 153, 154, 156, 190, 193, 198], "order": [0, 3, 5, 8, 9, 10, 11, 13, 15, 16, 18, 19, 21, 25, 26, 27, 29, 30, 32, 33, 34, 35, 36, 41, 42, 45, 47, 54, 58, 65, 66, 67, 69, 71, 72, 73, 74, 75, 80, 82, 84, 85, 88, 90, 91, 92, 100, 104, 106, 108, 111, 112, 113, 114, 116, 121, 123, 124, 127, 129, 130, 131, 133, 134, 135, 137, 139, 143, 144, 145, 146, 150, 152, 153, 154, 166, 168, 171, 173, 175, 181, 185, 190, 191, 192, 193, 194, 195, 197, 198], "sdc": [0, 2, 3, 9, 12, 13, 14, 18, 19, 28, 34, 50, 62, 63, 66, 68, 72, 73, 76, 78, 104, 123, 146, 150, 170, 171, 172, 173, 174, 177, 178, 181, 185, 186, 189, 190, 191, 192, 193, 195, 196, 197], "board": [0, 94, 95], "brand": 0, "new": [0, 3, 4, 5, 7, 8, 9, 11, 13, 34, 35, 50, 63, 65, 71, 77, 78, 79, 100, 107, 109, 143, 144, 145, 166, 168, 172, 184, 191, 196], "switch": [0, 65, 66, 72, 99, 101, 102], "estim": [0, 13, 15, 62, 66, 68, 71, 72, 74, 75, 76, 99, 102, 182, 190, 196], "test": [0, 2, 3, 4, 10, 11, 12, 13, 16, 17, 18, 19, 26, 27, 33, 34, 35, 36, 68, 79, 102, 108, 112, 124, 127, 141, 145, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 186, 187, 188, 189, 190, 192, 193, 194, 195, 196, 197, 198], "ground": 0, "compress": [0, 9], "libpressio": [0, 18], "march": [0, 11, 73], "24": [0, 12, 32, 144, 180, 181, 195], "2": [0, 5, 6, 7, 9, 11, 12, 14, 16, 17, 19, 21, 26, 27, 28, 29, 30, 32, 33, 34, 35, 39, 44, 48, 58, 65, 66, 73, 82, 83, 84, 86, 88, 89, 90, 91, 92, 94, 95, 96, 97, 99, 100, 101, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 116, 118, 119, 120, 121, 122, 123, 124, 126, 127, 139, 140, 144, 165, 166, 168, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 189, 190, 191, 193, 194, 195, 196, 197, 198], "i": [0, 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 18, 19, 21, 25, 26, 27, 28, 29, 30, 32, 33, 34, 35, 36, 38, 39, 41, 42, 44, 45, 47, 50, 55, 62, 63, 65, 66, 67, 68, 70, 72, 73, 74, 75, 77, 78, 79, 80, 88, 89, 90, 91, 92, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 116, 117, 118, 119, 120, 121, 122, 123, 124, 126, 127, 139, 140, 141, 143, 144, 145, 146, 147, 148, 149, 150, 152, 153, 154, 156, 164, 165, 166, 168, 169, 170, 171, 172, 173, 175, 176, 177, 179, 180, 181, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "out": [0, 3, 9, 11, 12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 62, 63, 72, 121, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "code": [0, 2, 3, 4, 6, 7, 9, 10, 12, 16, 18, 19, 21, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 70, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "multipl": [0, 13, 18, 41, 42, 44, 50, 65, 73, 74, 149, 176, 181, 185, 186, 192, 193, 194, 195, 196, 197], "direct": [0, 18, 66, 79, 90, 92, 96, 97, 100, 107, 109, 113, 114, 117, 123, 139, 164, 171, 192], "The": [0, 1, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 26, 27, 33, 34, 35, 36, 38, 39, 41, 42, 45, 47, 48, 51, 53, 54, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 88, 89, 90, 91, 92, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 116, 117, 118, 119, 120, 121, 122, 123, 124, 126, 127, 139, 140, 141, 143, 144, 146, 147, 148, 149, 150, 152, 153, 154, 156, 191, 192, 194, 195, 197, 198], "problem": [0, 2, 3, 6, 9, 11, 15, 16, 17, 18, 19, 21, 25, 26, 27, 28, 29, 30, 32, 33, 34, 37, 41, 43, 46, 49, 56, 65, 66, 70, 72, 73, 74, 76, 78, 88, 89, 90, 91, 92, 94, 95, 96, 97, 98, 99, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 116, 117, 118, 119, 120, 121, 122, 123, 124, 126, 127, 137, 139, 140, 141, 146, 150, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 186, 187, 189, 190, 192, 193, 194, 195, 196, 197, 198], "class": [0, 1, 2, 4, 8, 11, 12, 14, 16, 19, 25, 26, 27, 28, 32, 34, 35, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 55, 56, 62, 63, 65, 66, 67, 68, 69, 70, 71, 72, 74, 75, 76, 77, 78, 79, 80, 82, 83, 84, 85, 86, 88, 89, 90, 91, 92, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 116, 117, 118, 119, 120, 121, 122, 123, 124, 126, 127, 131, 136, 137, 139, 140, 141, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 171, 173, 174, 178, 179, 180, 181, 187, 190, 191, 192, 193, 194, 195, 197, 198], "can": [0, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 18, 26, 33, 34, 35, 36, 39, 42, 45, 47, 48, 50, 56, 62, 65, 66, 72, 73, 74, 82, 83, 84, 85, 86, 90, 91, 94, 95, 96, 97, 99, 100, 101, 104, 106, 107, 108, 110, 114, 122, 124, 139, 144, 145, 146, 150, 157, 158, 159, 160, 161, 162, 163, 169, 180, 182, 185, 186, 187, 190, 191, 192, 193, 194, 195, 196, 197, 198], "defin": [0, 2, 3, 6, 7, 9, 34, 36, 38, 39, 48, 50, 66, 67, 68, 70, 76, 78, 79, 80, 101, 102, 103, 106, 107, 108, 111, 112, 113, 127, 139, 146, 150, 171, 173, 181, 192, 193, 194, 195, 197], "paramet": [0, 4, 7, 8, 10, 11, 12, 14, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 36, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 53, 54, 55, 56, 57, 58, 59, 62, 63, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 82, 84, 85, 86, 88, 89, 90, 91, 92, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 116, 117, 118, 119, 120, 121, 122, 123, 124, 126, 127, 139, 140, 141, 143, 144, 145, 146, 149, 150, 151, 152, 156, 157, 159, 160, 161, 162, 163, 164, 166, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "explicitli": [0, 89, 91, 94, 95, 96, 97, 112, 197], "constructor": [0, 7], "dictionari": [0, 12, 16, 19, 21, 25, 26, 27, 28, 32, 34, 35, 40, 42, 43, 44, 50, 57, 65, 66, 67, 68, 70, 74, 76, 78, 79, 80, 99, 124, 149, 166, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 185, 186, 187, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "param": [0, 6, 29, 30, 35, 38, 40, 41, 42, 46, 49, 50, 51, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 156, 157, 158, 159, 160, 161, 162, 163, 164, 166, 168, 170, 175, 191, 192, 194], "properti": [0, 8, 33, 40, 41, 45, 46, 48, 50, 51, 73, 82, 84, 124, 139, 144, 149, 197], "return": [0, 7, 8, 12, 16, 19, 21, 25, 26, 27, 32, 34, 38, 39, 41, 42, 44, 45, 46, 47, 48, 50, 51, 53, 54, 55, 56, 57, 58, 62, 63, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 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191, 193, 194], "attribut": [0, 4, 7, 8, 43, 48, 49, 55, 73, 89, 99, 122, 124, 144, 158, 159, 160, 161, 162, 191, 193, 195], "us": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 17, 18, 19, 21, 25, 26, 27, 28, 32, 34, 35, 36, 38, 39, 41, 42, 44, 45, 47, 48, 50, 51, 55, 56, 57, 58, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 82, 83, 84, 85, 86, 88, 89, 90, 91, 92, 94, 95, 96, 97, 98, 99, 100, 101, 103, 104, 107, 108, 109, 110, 111, 112, 113, 114, 116, 118, 119, 121, 122, 123, 124, 126, 127, 139, 140, 141, 144, 145, 146, 149, 150, 152, 154, 156, 165, 166, 168, 170, 172, 173, 174, 175, 177, 178, 182, 185, 188, 190, 191, 193, 194, 195, 196, 197, 198], "_makeattributeandregist": [0, 7], "allow": [0, 1, 2, 5, 6, 10, 35, 41, 42, 65, 66, 67, 68, 70, 73, 74, 75, 84, 90, 114, 124, 193, 195, 197], "readonli": [0, 7], "paramt": [0, 16, 19, 26, 27, 34], "warn": [0, 5, 36, 48, 167, 185, 190, 191, 197, 198], "backward": [0, 42, 144, 159], "compat": [0, 3, 4, 9, 42, 65, 66, 69, 72, 73, 74, 75, 124], "resili": [0, 9, 18], "quench": [0, 87], "result": [0, 5, 7, 9, 10, 11, 12, 14, 15, 16, 17, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 42, 44, 65, 77, 112, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "collabor": [0, 18], "between": [0, 6, 13, 18, 26, 27, 34, 38, 39, 42, 50, 65, 66, 67, 69, 71, 72, 73, 75, 77, 91, 92, 100, 101, 106, 113, 118, 123, 156, 157, 158, 159, 160, 161, 162, 163, 165, 177, 178, 189, 191, 192, 194, 196, 198], "eschnaubelt": 0, "dure": [0, 1, 4, 5, 15, 18, 36, 44, 46, 48, 68, 79, 108, 109, 110, 192, 193, 194], "time": [0, 1, 3, 4, 5, 8, 9, 10, 11, 12, 15, 16, 18, 19, 21, 25, 26, 27, 28, 29, 30, 32, 33, 34, 35, 36, 38, 41, 42, 44, 45, 46, 48, 50, 57, 62, 63, 65, 66, 67, 73, 74, 78, 79, 82, 84, 85, 86, 88, 89, 90, 91, 92, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 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124, 131, 136, 137, 143, 144, 156, 173, 174, 178, 192, 193, 194, 198], "program": [2, 5, 26, 27, 34, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "oop": 2, "custom": [2, 6, 8, 14, 38, 44, 46, 48, 49, 50, 51, 124, 146, 147, 150, 152, 153, 154, 156, 159, 193], "inherit": [2, 7, 40, 89, 99, 149], "framework": [2, 197], "addit": [2, 4, 6, 36, 41, 56, 90, 124, 193, 196], "guidelin": [2, 3, 5, 6, 9], "given": [2, 5, 7, 8, 36, 39, 45, 47, 49, 50, 65, 88, 89, 91, 98, 99, 103, 112, 117, 118, 121, 126, 140, 165, 191, 195, 196, 198], "esp": [3, 9], "multilevel": [3, 9, 50], "extens": [3, 9], "intend": [3, 9, 13], "rapid": [3, 9], "purpos": [3, 9, 41, 184, 188, 192, 194, 196, 198], "predictor": [3, 9, 44, 51, 62, 63, 144, 149, 194], "toi": [3, 9, 123], "easili": [3, 6, 9, 12, 18], "variant": [3, 9, 12, 14, 19, 185, 197], "implicit": [3, 9, 11, 16, 19, 26, 29, 30, 33, 34, 35, 82, 83, 84, 86, 89, 91, 92, 99, 107, 109, 110, 112, 127, 141, 143, 144, 148, 149, 150, 152, 153, 180, 181, 186, 187, 190, 192, 195, 197, 198], "imex": [3, 9, 26, 33, 34, 88, 141, 144, 150, 152, 170, 171, 172, 173, 174, 178, 180, 186, 187, 190, 192, 193, 194, 195, 197, 198], "verlet": [3, 9, 12, 21, 25, 32, 142, 145, 146], "diagon": [3, 9, 26, 27, 34, 35, 124, 144], "topic": [3, 9, 18], "outcom": [3, 9, 18], "gitlab": [3, 9], "10": [3, 8, 9, 12, 14, 16, 19, 21, 25, 28, 29, 30, 32, 35, 75, 97, 98, 100, 101, 105, 107, 109, 113, 118, 123, 144, 145, 166, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 182, 185, 186, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "host": [3, 4, 9], "com": [3, 9, 45, 145], "often": [3, 9, 18, 66], "choic": [3, 5, 9, 144, 145, 195], "thu": [3, 9, 11, 13, 191, 194], "checkout": [3, 9], "conda": [3, 5, 9, 10], "found": [3, 9, 12, 13, 14, 29, 30, 33, 35, 42, 58, 99, 102, 193, 197], "folder": [3, 5, 9, 10, 197], "etc": [3, 5, 9, 36, 42, 66, 69, 73, 75, 194, 195], "env": [3, 9, 124, 184, 196], "creat": [3, 9, 10, 12, 15, 16, 19, 21, 25, 28, 29, 30, 32, 35, 44, 99, 108, 112, 127, 139, 165, 166, 167, 168, 169, 176, 187, 188, 191, 192, 193, 194, 195, 197, 198], "yml": [3, 9], "m": [3, 5, 8, 9, 11, 12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 33, 34, 35, 42, 45, 63, 67, 73, 74, 75, 78, 100, 108, 112, 121, 123, 127, 131, 167, 168, 171, 172, 173, 174, 177, 178, 179, 180, 181, 182, 185, 186, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "correspond": [3, 5, 9, 12, 18, 25, 26, 27, 33, 34, 42, 47, 50, 57, 65, 124, 146, 147, 148, 149, 150, 151, 152, 153, 154, 194, 196, 198], "chose": [3, 9, 118], "pythonpath": [3, 9, 184, 196], "export": [3, 5, 9], "path": [3, 5, 9, 12, 15, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 42, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "root": [3, 5, 9, 11, 13, 82, 84, 86, 102, 124, 184, 196], "want": [3, 5, 9, 18, 42, 65, 66, 67, 70, 72, 73, 78, 145, 192, 196, 198], "import": [3, 5, 6, 7, 8, 9, 12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 42, 73, 124, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "statement": [3, 5, 9], "assum": [3, 9, 121, 195], "directori": [3, 5, 9, 12, 15, 16, 19, 21, 25, 28, 32, 35, 184, 196], "decent": [3, 9], "compil": [3, 9], "although": [3, 6, 9, 10, 191, 192, 194], "go": [3, 5, 9, 14, 44, 62, 63, 77, 79, 170, 184, 192, 195, 196], "great": [3, 9], "let": [3, 8, 9, 45, 77, 91, 99, 103], "know": [3, 9, 46, 66, 73, 74, 77, 173, 192, 193, 195], "help": [3, 6, 8, 9, 36, 185, 193, 197], "greatli": [3, 9, 18], "appreci": [3, 9], "citat": [3, 9, 144], "robert": [3, 9, 18, 121], "speck": [3, 9, 88, 103, 121, 150], "997": [3, 9, 166, 191], "transact": [3, 9], "mathemat": [3, 9], "softwar": [3, 9, 108, 112, 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66, 141, 194], "sever": [4, 12, 35, 90, 114], "solut": [4, 6, 7, 10, 11, 13, 15, 16, 18, 19, 26, 27, 28, 33, 34, 35, 46, 48, 65, 66, 69, 70, 72, 73, 74, 77, 80, 88, 89, 90, 91, 92, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 106, 107, 108, 109, 110, 111, 112, 113, 114, 117, 118, 119, 121, 122, 123, 124, 126, 127, 139, 140, 141, 143, 144, 145, 165, 166, 167, 168, 170, 171, 173, 175, 177, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 191, 192, 193, 194, 195, 196, 197, 198], "summari": [4, 5, 6, 7, 8], "panel": [5, 124], "divid": [5, 88, 100, 103, 108, 112, 127, 196], "categori": 5, "build": [5, 27, 34, 54, 167, 168, 184, 191, 196], "artifact": 5, "section": [5, 124], "style": [5, 8, 12, 16, 19, 21, 25, 28, 32, 35, 62, 63, 73], "syntax": [5, 6], "complianc": 5, "pep": [5, 6], "comprehens": [5, 65], "bugbear": 5, "diff": [5, 26, 34, 177, 189, 194, 198], "color": [5, 18, 28, 29, 30, 35, 166, 168, 187, 191, 197], "reformat": 5, "command": [5, 15], "line": [5, 6, 11, 18, 65, 122, 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145], "alter": 5, "editor": 5, "whenev": [5, 41, 65, 191], "r": [5, 8, 16, 19, 28, 29, 30, 35, 38, 58, 88, 91, 92, 94, 95, 96, 97, 99, 100, 101, 103, 105, 106, 107, 109, 113, 120, 121, 122, 123, 139, 156, 198], "messag": [5, 42, 62, 65, 66, 69, 73, 74, 75], "detect": [5, 18, 75], "abort": [5, 26, 27, 34, 70], "ahead": 5, "worri": [5, 196], "obtain": [5, 8, 34, 35, 45, 54, 65, 66, 72, 73, 108, 124], "msg": [5, 42, 70], "commit_msg_fil": 5, "flakeheaven_output": 5, "interpret": 5, "trailer": 5, "echo": 5, "assign": [5, 29, 30, 35, 141], "note": [5, 6, 8, 12, 14, 16, 17, 19, 26, 27, 33, 34, 45, 72, 124, 171, 185, 186, 191, 192, 193, 194, 195, 196, 197, 198], "relat": [5, 33, 38, 42, 48, 49, 50, 51, 156, 193], "constantli": [5, 123], "pep8": [5, 9], "might": [5, 18, 55, 77, 79, 196], "caus": [5, 15, 144, 196], "date": 5, "forg": 5, "pass": [5, 6, 8, 16, 19, 26, 27, 29, 30, 34, 35, 38, 42, 46, 48, 50, 51, 53, 57, 65, 66, 67, 68, 69, 70, 72, 73, 74, 75, 76, 78, 79, 80, 156, 179, 180, 181, 186, 187, 190, 191, 192, 194, 195, 197, 198], "toml": [5, 184, 196], "compon": [5, 10, 11, 13, 82, 83, 84, 86, 98, 110, 117, 118, 126, 140, 153, 198], "test_nod": 5, "how": [5, 8, 12, 13, 17, 18, 67, 71, 72, 73, 101, 123, 124, 172, 191, 192, 193, 194, 195, 196, 197, 198], "compar": [5, 10, 13, 16, 19, 26, 27, 28, 33, 34, 35, 65, 66, 73, 74, 75, 94, 95, 165, 166, 170, 171, 173, 174, 175, 177, 178, 180, 181, 182, 184, 185, 187, 188, 189, 191, 192, 193, 194, 195, 196, 197, 198], "indic": [5, 6, 9, 39, 43, 58, 62, 91, 94, 95, 96, 97, 99, 101, 102, 106, 108, 112, 117, 123, 126, 127, 140, 192], "print": [5, 6, 7, 12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "load": [5, 12, 15, 16, 19, 21, 25, 28, 29, 30, 32, 35, 42, 66, 67, 68, 71, 72, 75, 76, 79, 99, 122], "sitecustom": 5, "process_startup": 5, "durat": 5, "analyz": [5, 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11, 35, 66, 119, 166, 168, 191], "compromis": 6, "someon": [6, 9], "els": [6, 12, 16, 19, 25, 26, 27, 29, 30, 32, 34, 35, 66, 99, 102, 149, 178, 182, 184, 185, 186, 187, 190, 194, 196, 197, 198], "understand": [6, 8, 36], "my": [6, 9], "effect": [6, 66, 118, 123], "kilomet": 6, "aspect": [6, 18], "interdepend": 6, "attract": 6, "lowercas": 6, "variablenamelikethi": 6, "snake_cas": 6, "variable_name_like_thi": 6, "pascalcas": 6, "camelcas": 6, "uppercas": 6, "minu": 6, "try": [6, 14, 15, 65, 66, 72, 184, 191, 196], "stick": 6, "discourag": 6, "advectiondiffus": 6, "except": [6, 15, 42, 43, 47, 123, 184, 196], "suffix": [6, 195], "parametererror": [6, 37, 43], "goe": [6, 42], "argument": [6, 42, 44, 48, 57, 90, 124, 172, 193], "tleft": [6, 39, 167, 168, 191], "quadtyp": 6, "legendr": [6, 39, 45, 47, 167, 168, 177, 191, 193, 194], "computefejerrul": [6, 37, 45], "nnode": [6, 176, 194], "nodegener": 6, "getorthogpolycoeff": 6, "self": [6, 7, 8, 42, 63, 68, 73, 99, 149], "ncoeff": 6, 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181, 182, 184, 185, 186, 187, 188, 189, 190, 192, 193, 194, 195, 196, 197, 198], "level_param": [12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 46, 169, 170, 171, 172, 173, 174, 176, 177, 178, 179, 180, 181, 182, 185, 186, 187, 189, 190, 192, 193, 194, 195, 196, 197, 198], "restol": [12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 169, 170, 171, 172, 173, 174, 176, 177, 178, 179, 180, 181, 182, 185, 186, 187, 189, 190, 192, 193, 194, 195, 196, 197, 198], "1e": [12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 90, 91, 92, 98, 99, 100, 102, 106, 107, 109, 110, 113, 114, 117, 118, 119, 123, 126, 139, 169, 170, 171, 172, 173, 174, 176, 177, 178, 179, 180, 181, 182, 186, 187, 189, 190, 192, 193, 194, 195, 196, 197, 198], "sweeper_param": [12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 46, 65, 169, 170, 171, 172, 173, 174, 176, 177, 178, 179, 180, 181, 182, 185, 186, 187, 189, 190, 192, 193, 194, 195, 196, 197, 198], "num_nod": [12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 39, 47, 65, 144, 145, 167, 168, 169, 170, 171, 172, 173, 174, 176, 177, 178, 179, 180, 181, 182, 185, 186, 187, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "initial_guess": [12, 16, 19, 21, 25, 26, 27, 32, 34, 144, 145, 171, 173, 186, 187, 190, 192, 193, 197, 198], "zero": [12, 16, 19, 21, 25, 26, 27, 29, 30, 32, 34, 35, 48, 73, 99, 101, 123, 165, 166, 167, 168, 169, 170, 171, 172, 175, 176, 177, 179, 180, 182, 186, 187, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "problem_param": [12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 46, 166, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 185, 186, 187, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "amp": [12, 25, 111], "step_param": [12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 169, 170, 171, 172, 173, 174, 176, 177, 178, 179, 180, 181, 182, 185, 186, 187, 189, 190, 192, 193, 194, 195, 196, 197, 198], "maxit": [12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 76, 169, 170, 171, 172, 173, 174, 176, 177, 178, 179, 180, 181, 182, 185, 186, 187, 189, 190, 192, 193, 194, 195, 196, 197, 198], "50": [12, 16, 19, 21, 25, 26, 27, 28, 32, 34, 35, 127, 172, 178, 180, 181, 182, 183, 184, 186, 187, 188, 189, 190, 193, 194, 195, 196, 197, 198], "hook_class": [12, 21, 25, 28, 32, 35, 171, 173, 174, 178, 190, 192, 193, 194, 198], "logger_level": [12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 65, 171, 172, 173, 174, 177, 178, 180, 181, 182, 185, 186, 187, 189, 190, 192, 193, 194, 195, 196, 197, 198], "fill": [12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 51, 121, 143, 144, 149, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 176, 177, 178, 179, 180, 181, 182, 185, 186, 187, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "easi": [12, 16, 19, 21, 25, 26, 27, 28, 32, 34, 35, 169, 170, 171, 172, 173, 174, 176, 178, 179, 180, 181, 182, 185, 186, 187, 189, 190, 192, 193, 194, 195, 196, 197, 198], "hierarchi": [12, 21, 25, 28, 32, 35, 62, 63, 149, 170, 171, 172, 173, 174, 176, 178, 179, 185, 192, 193, 197], "space_transfer_class": [12, 16, 19, 21, 25, 26, 27, 32, 34, 38, 50, 156, 176, 177, 178, 179, 180, 181, 182, 185, 186, 187, 189, 190, 194, 195, 196, 197, 198], "setup_henonheil": [12, 25], "run_simul": [12, 21, 25, 32, 172, 174, 186, 190, 193, 197, 198], "prob": [12, 15, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 46, 107, 109, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 176, 177, 178, 180, 181, 182, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "arg": [12, 16, 19, 21, 25, 26, 27, 28, 32, 34, 35, 48, 70, 90, 165, 166, 167, 168, 170, 182, 184, 185, 186, 191, 192, 196, 197], "str": [12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 40, 41, 42, 45, 47, 51, 53, 54, 55, 57, 59, 65, 66, 69, 72, 73, 74, 75, 90, 94, 95, 96, 97, 108, 112, 114, 123, 124, 127, 139, 143, 149, 152, 175, 184, 185, 187, 194, 196, 197], "t0": [12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 41, 62, 63, 108, 112, 167, 168, 171, 172, 173, 174, 177, 178, 180, 181, 182, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "tend": [12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 41, 42, 62, 63, 67, 73, 78, 79, 167, 168, 171, 172, 173, 174, 177, 178, 180, 181, 182, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "num_proc": [12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 62, 63, 171, 172, 173, 174, 177, 178, 179, 180, 181, 182, 184, 185, 186, 188, 189, 190, 192, 193, 194, 195, 196, 197, 198], "maxmeanit": [12, 25, 32], "elif": [12, 16, 19, 25, 26, 27, 28, 29, 30, 32, 34, 35, 185, 190, 197, 198], "instanti": [12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 41, 42, 48, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 165, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 184, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "finest": [12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 50, 62, 63, 66, 72, 73, 78, 171, 172, 173, 174, 177, 178, 180, 181, 182, 184, 185, 186, 187, 188, 189, 190, 192, 193, 194, 195, 196, 197, 198], "uinit": [12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 171, 172, 173, 174, 177, 178, 180, 181, 182, 184, 185, 186, 187, 188, 189, 190, 192, 193, 194, 195, 196, 197, 198], "u_exact": [12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 88, 89, 90, 91, 92, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 116, 117, 118, 119, 120, 121, 122, 123, 124, 126, 127, 140, 141, 166, 167, 168, 170, 171, 172, 173, 177, 180, 181, 182, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "uend": [12, 16, 19, 21, 25, 28, 29, 30, 32, 34, 35, 46, 146, 147, 148, 149, 150, 152, 153, 154, 167, 168, 170, 171, 172, 173, 174, 178, 180, 181, 182, 184, 185, 186, 187, 188, 190, 191, 192, 193, 194, 195, 196, 197, 198], "stat": [12, 16, 19, 21, 25, 28, 29, 30, 32, 35, 41, 44, 57, 59, 62, 63, 171, 172, 173, 174, 178, 180, 181, 182, 184, 185, 186, 187, 188, 190, 192, 193, 194, 195, 196, 197, 198], "u0": [12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 41, 50, 62, 63, 88, 89, 91, 92, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 106, 107, 108, 109, 110, 111, 112, 113, 117, 118, 119, 121, 122, 123, 124, 126, 127, 131, 137, 139, 140, 141, 167, 168, 171, 172, 173, 174, 177, 178, 180, 181, 182, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "filter": [12, 16, 19, 21, 25, 27, 28, 29, 30, 32, 34, 35, 57, 172, 173, 174, 180, 181, 182, 184, 185, 186, 187, 188, 189, 190, 193, 195, 196, 197, 198], "iter_count": [12, 16, 19, 21, 25, 28, 29, 30, 32, 35, 172, 180, 181, 182, 184, 185, 186, 187, 188, 190, 193, 195, 196, 197, 198], "niter": [12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 48, 170, 172, 177, 180, 181, 182, 184, 185, 186, 187, 188, 189, 190, 192, 193, 194, 195, 196, 197, 198], "sortbi": [12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 57, 172, 173, 174, 177, 178, 180, 181, 182, 184, 185, 186, 187, 188, 189, 190, 193, 194, 195, 196, 197, 198], "item": [12, 16, 19, 21, 25, 27, 28, 32, 34, 35, 57, 172, 173, 174, 178, 180, 181, 182, 184, 185, 186, 187, 188, 190, 193, 194, 195, 196, 197, 198], "2f": [12, 16, 19, 21, 25, 28, 32, 35, 170, 172, 175, 180, 181, 182, 184, 185, 186, 187, 188, 189, 190, 192, 193, 194, 195, 196, 197, 198], "2i": [12, 16, 19, 21, 25, 28, 32, 35, 166, 168, 170, 172, 173, 175, 176, 177, 178, 179, 180, 181, 182, 184, 185, 186, 187, 189, 191, 192, 193, 194, 195, 196, 197, 198], "mean": [12, 13, 14, 15, 16, 18, 19, 21, 25, 28, 32, 35, 72, 73, 79, 99, 101, 113, 123, 149, 180, 181, 185, 186, 187, 190, 195, 197, 198], "rang": [12, 16, 19, 21, 25, 28, 29, 30, 32, 35, 99, 107, 123, 165, 166, 168, 175, 176, 179, 180, 181, 185, 186, 187, 190, 191, 194, 195, 197, 198], "ptp": [12, 16, 19, 21, 25, 28, 32, 35, 180, 181, 185, 186, 187, 195, 197], "max": [12, 16, 19, 21, 25, 28, 32, 35, 68, 90, 114, 166, 168, 180, 181, 185, 186, 187, 188, 191, 195, 197, 198], "min": [12, 16, 19, 21, 25, 28, 29, 30, 32, 35, 166, 168, 176, 180, 181, 185, 186, 187, 188, 191, 194, 195, 197, 198], "int": [12, 16, 19, 21, 25, 28, 32, 35, 39, 42, 44, 45, 46, 47, 54, 58, 62, 66, 67, 73, 78, 82, 84, 85, 86, 88, 89, 90, 91, 92, 94, 95, 96, 97, 98, 99, 100, 101, 102, 104, 106, 107, 108, 109, 110, 112, 113, 114, 117, 118, 121, 123, 124, 126, 127, 139, 140, 146, 149, 150, 175, 180, 181, 185, 186, 187, 194, 195, 197], "argmax": [12, 16, 19, 21, 25, 28, 32, 35, 180, 181, 185, 186, 187, 195, 197], "argmin": [12, 16, 19, 21, 25, 28, 32, 35, 180, 181, 185, 186, 187, 195, 197], "std": [12, 16, 19, 21, 25, 28, 32, 35, 180, 181, 185, 186, 187, 195, 197], "var": [12, 16, 19, 21, 25, 28, 32, 35, 180, 181, 185, 186, 187, 195, 197], "float": [12, 16, 19, 21, 25, 26, 27, 28, 32, 34, 35, 39, 41, 42, 46, 47, 48, 50, 53, 54, 66, 67, 70, 73, 78, 88, 89, 90, 91, 92, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 116, 117, 118, 119, 120, 121, 122, 123, 124, 126, 127, 139, 140, 141, 143, 180, 181, 182, 185, 186, 187, 195, 196, 197], "assert": [12, 16, 19, 21, 25, 26, 27, 28, 29, 30, 32, 34, 35, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "fname": [12, 16, 19, 21, 25, 28, 29, 30, 32, 35, 59, 166, 168, 171, 173, 182, 183, 184, 187, 188, 191, 192, 193, 196, 197, 198], "dat": [12, 16, 19, 21, 25, 32], "wb": [12, 16, 19, 21, 25, 28, 29, 30, 32, 35], "close": [12, 16, 19, 21, 25, 26, 27, 28, 32, 34, 35, 66, 78, 139, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 178, 179, 180, 181, 182, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198], "isfil": [12, 16, 19, 21, 25, 28, 29, 30, 32, 35, 166, 168, 188, 189, 191, 198], "show_result": [12, 16, 19, 21, 25, 32], "cwd": [12, 16, 19, 21, 25, 28, 32, 35, 184, 196], "rb": [12, 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"iter": 198, "x": 198, "To": 198}, "envversion": {"sphinx.domains.c": 3, "sphinx.domains.changeset": 1, "sphinx.domains.citation": 1, "sphinx.domains.cpp": 9, "sphinx.domains.index": 1, "sphinx.domains.javascript": 3, "sphinx.domains.math": 2, "sphinx.domains.python": 4, "sphinx.domains.rst": 2, "sphinx.domains.std": 2, "sphinx.ext.viewcode": 1, "sphinx": 60}, "alltitles": {"Changelog": [[0, "changelog"]], "Contributor Covenant Code of Conduct": [[1, "contributor-covenant-code-of-conduct"]], "Our Pledge": [[1, "our-pledge"]], "Our Standards": [[1, "our-standards"]], "Enforcement Responsibilities": [[1, "enforcement-responsibilities"]], "Scope": [[1, "scope"]], "Enforcement": [[1, "enforcement"]], "Enforcement Guidelines": [[1, "enforcement-guidelines"]], "1. Correction": [[1, "correction"]], "2. Warning": [[1, "warning"]], "3. Temporary Ban": [[1, "temporary-ban"]], "4. Permanent Ban": [[1, "permanent-ban"]], "Attribution": [[1, "attribution"]], "How to contribute to pySDC": [[2, "how-to-contribute-to-pysdc"]], "Welcome to pySDC!": [[3, "welcome-to-pysdc"], [9, "welcome-to-pysdc"]], "Features": [[3, "features"], [9, "features"]], "Getting started": [[3, "getting-started"], [9, "getting-started"]], "How to cite": [[3, "how-to-cite"], [9, "how-to-cite"]], "Contributing": [[3, "contributing"], [9, "contributing"]], "Acknowledgements": [[3, "acknowledgements"], [9, "acknowledgements"]], "Recommendations for pull requests": [[4, "recommendations-for-pull-requests"]], "Contributing to the main branch": [[4, "contributing-to-the-main-branch"]], "Release development branches": [[4, "release-development-branches"]], "Feature development branches": [[4, "feature-development-branches"]], "Continuous Integration in pySDC": [[5, "continuous-integration-in-pysdc"]], "Code linting": [[5, "code-linting"]], "Code testing": [[5, "code-testing"]], "Code coverage": [[5, "code-coverage"]], "Coverage exceptions": [[5, "coverage-exceptions"]], "Documentation generation": [[5, "documentation-generation"]], "Naming conventions in pySDC": [[6, "naming-conventions-in-pysdc"]], "First definitions": [[6, "first-definitions"]], "Packages and modules names": [[6, "packages-and-modules-names"]], "Class names": [[6, "class-names"]], "Function and variables names": [[6, "function-and-variables-names"]], "Private and public attributes": [[6, "private-and-public-attributes"]], "Constants": [[6, "constants"]], "Custom implementation guidelines": [[7, "custom-implementation-guidelines"]], "Implementing a custom problem class": [[7, "implementing-a-custom-problem-class"]], "Documenting Code": [[8, "documenting-code"]], "Tests": [[9, "tests"], [15, "tests"]], "User Guide": [[9, "user-guide"]], "Tutorial": [[9, "tutorial"]], "Playgrounds": [[9, "playgrounds"]], "Projects": [[9, "projects"]], "API documentation": [[9, "api-documentation"]], "Allen-Cahn problems from Bayreuth": [[10, "allen-cahn-problems-from-bayreuth"]], "Verification": [[10, "verification"]], "Benchmark": [[10, "benchmark"]], "Application": [[10, "application"]], "Further/related files": [[10, "further-related-files"]], "Solving differential algebraic equations with SDC": [[11, "solving-differential-algebraic-equations-with-sdc"]], "Project overview": [[11, "project-overview"]], "Theoretical details": [[11, "theoretical-details"]], "Second-order Problems": [[12, "second-order-problems"]], "Simple problems": [[12, "simple-problems"]], "Solar system problem": [[12, "solar-system-problem"]], "Fermi-Pasta-Ulam-Tsingou problem": [[12, "fermi-pasta-ulam-tsingou-problem"]], "Parallel-in-time simulation for multi-modal energy systems": [[13, "parallel-in-time-simulation-for-multi-modal-energy-systems"]], "What are switching processes in power systems?": [[13, "what-are-switching-processes-in-power-systems"]], "Pi-line": [[13, "pi-line"]], "Buck converter": [[13, "buck-converter"]], "Battery drain model": [[13, "battery-drain-model"]], "RDC: Rational Deferred Corrections": [[14, "rdc-rational-deferred-corrections"]], "Testing RDC convergence": [[14, "testing-rdc-convergence"]], "Multi-level RDC and PFASST with RDC": [[14, "multi-level-rdc-and-pfasst-with-rdc"]], "Resilience in SDC": [[15, "resilience-in-sdc"]], "Reproduction of the plots in the adaptive SDC paper": [[15, "reproduction-of-the-plots-in-the-adaptive-sdc-paper"]], "What is the fastest SDC variant?": [[16, "what-is-the-fastest-sdc-variant"]], "Fisher and Gray-Scott equations": [[16, "fisher-and-gray-scott-equations"]], "Asymptotic convergence of PFASST": [[17, "asymptotic-convergence-of-pfasst"]], "Organisation of the project": [[17, "organisation-of-the-project"]], "Compression in pySDC": [[18, "compression-in-pysdc"]], "Introduction": [[18, "introduction"]], "Methods": [[18, "methods"]], "Proof of Concept": [[18, "proof-of-concept"]], "Fast-Wave-Slow-Wave SDC": [[33, "fast-wave-slow-wave-sdc"]], "Theoretical results": [[33, "theoretical-results"]], "Acoustic-advection example": [[33, "acoustic-advection-example"]], "Boussinesq example": [[33, "boussinesq-example"]], "Matrix-based versions of PFASST": [[34, "matrix-based-versions-of-pfasst"]], "Matrix-based PFASST": [[34, "matrix-based-pfasst"]], "Propagator-based PFASST": [[34, "propagator-based-pfasst"]], "Attempts to parallelize SDC": [[35, "attempts-to-parallelize-sdc"]], "Different preconditioners for SDC": [[35, "different-preconditioners-for-sdc"]], "Node-parallel SDC with MPI": [[35, "node-parallel-sdc-with-mpi"], [35, "id1"]], "Simplified Newton for nonlinear problems": [[35, "simplified-newton-for-nonlinear-problems"]], "Performance analysis of pySDC": [[36, "performance-analysis-of-pysdc"]], "Python codes": [[36, "python-codes"]], "Jobscripts": [[36, "jobscripts"]], "Results": [[36, "results"]], "core package": [[37, "core-package"]], "Submodules": [[37, "submodules"], [52, "submodules"], [61, "submodules"], [64, 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"core.ConvergenceController module": [[42, "module-core.ConvergenceController"]], "core.Errors module": [[43, "module-core.Errors"]], "core.Hooks module": [[44, "module-core.Hooks"]], "core.Lagrange module": [[45, "module-core.Lagrange"]], "core.Level module": [[46, "module-core.Level"]], "core.Nodes module": [[47, "module-core.Nodes"]], "core.Problem module": [[48, "module-core.Problem"]], "core.SpaceTransfer module": [[49, "module-core.SpaceTransfer"]], "core.Step module": [[50, "module-core.Step"]], "core.Sweeper module": [[51, "module-core.Sweeper"]], "helpers package": [[52, "helpers-package"]], "helpers.plot_helper module": [[53, "module-helpers.plot_helper"]], "helpers.problem_helper module": [[54, "module-helpers.problem_helper"]], "helpers.pysdc_helper module": [[55, "module-helpers.pysdc_helper"]], "helpers.setup_helper module": [[56, "module-helpers.setup_helper"]], "helpers.stats_helper module": [[57, "module-helpers.stats_helper"]], "helpers.transfer_helper module": [[58, 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"module-implementations.convergence_controller_classes.adaptivity"]], "implementations.convergence_controller_classes.basic_restarting module": [[67, "module-implementations.convergence_controller_classes.basic_restarting"]], "implementations.convergence_controller_classes.check_convergence module": [[68, "module-implementations.convergence_controller_classes.check_convergence"]], "implementations.convergence_controller_classes.check_iteration_estimator module": [[69, "module-implementations.convergence_controller_classes.check_iteration_estimator"]], "implementations.convergence_controller_classes.crash module": [[70, "module-implementations.convergence_controller_classes.crash"]], "implementations.convergence_controller_classes.estimate_contraction_factor module": [[71, "module-implementations.convergence_controller_classes.estimate_contraction_factor"]], "implementations.convergence_controller_classes.estimate_embedded_error module": [[72, "module-implementations.convergence_controller_classes.estimate_embedded_error"]], "implementations.convergence_controller_classes.estimate_extrapolation_error module": [[73, "module-implementations.convergence_controller_classes.estimate_extrapolation_error"]], "Abstract base class for extrapolated error estimates": [[73, "abstract-base-class-for-extrapolated-error-estimates"]], "implementations.convergence_controller_classes.estimate_polynomial_error module": [[74, "module-implementations.convergence_controller_classes.estimate_polynomial_error"]], "implementations.convergence_controller_classes.hotrod module": [[75, "module-implementations.convergence_controller_classes.hotrod"]], "implementations.convergence_controller_classes.inexactness module": [[76, "module-implementations.convergence_controller_classes.inexactness"]], "implementations.convergence_controller_classes.interpolate_between_restarts module": [[77, "module-implementations.convergence_controller_classes.interpolate_between_restarts"]], "implementations.convergence_controller_classes.spread_step_sizes module": [[78, "module-implementations.convergence_controller_classes.spread_step_sizes"]], "implementations.convergence_controller_classes.step_size_limiter module": [[79, "module-implementations.convergence_controller_classes.step_size_limiter"]], "implementations.convergence_controller_classes.store_uold module": [[80, "module-implementations.convergence_controller_classes.store_uold"]], "implementations.datatype_classes package": [[81, "implementations-datatype-classes-package"]], "implementations.datatype_classes.cupy_mesh module": [[82, "module-implementations.datatype_classes.cupy_mesh"]], "implementations.datatype_classes.fenics_mesh module": [[83, "module-implementations.datatype_classes.fenics_mesh"]], "implementations.datatype_classes.mesh module": [[84, "module-implementations.datatype_classes.mesh"]], "implementations.datatype_classes.particles module": [[85, "module-implementations.datatype_classes.particles"]], "implementations.datatype_classes.petsc_vec module": [[86, "module-implementations.datatype_classes.petsc_vec"]], "implementations.problem_classes package": [[87, "implementations-problem-classes-package"]], "implementations.problem_classes.AcousticAdvection_1D_FD_imex module": [[88, "module-implementations.problem_classes.AcousticAdvection_1D_FD_imex"]], "implementations.problem_classes.AdvectionDiffusionEquation_1D_FFT module": [[89, "module-implementations.problem_classes.AdvectionDiffusionEquation_1D_FFT"]], "implementations.problem_classes.AdvectionEquation_ND_FD module": [[90, "module-implementations.problem_classes.AdvectionEquation_ND_FD"]], "implementations.problem_classes.AllenCahn_1D_FD module": [[91, "module-implementations.problem_classes.AllenCahn_1D_FD"]], "implementations.problem_classes.AllenCahn_2D_FD module": [[92, "module-implementations.problem_classes.AllenCahn_2D_FD"]], "implementations.problem_classes.AllenCahn_2D_FD_gpu module": [[93, "implementations-problem-classes-allencahn-2d-fd-gpu-module"]], "implementations.problem_classes.AllenCahn_2D_FFT module": [[94, "module-implementations.problem_classes.AllenCahn_2D_FFT"]], "implementations.problem_classes.AllenCahn_2D_FFT_gpu module": [[95, "module-implementations.problem_classes.AllenCahn_2D_FFT_gpu"]], "implementations.problem_classes.AllenCahn_MPIFFT module": [[96, "module-implementations.problem_classes.AllenCahn_MPIFFT"]], "implementations.problem_classes.AllenCahn_Temp_MPIFFT module": [[97, "module-implementations.problem_classes.AllenCahn_Temp_MPIFFT"]], "implementations.problem_classes.Auzinger_implicit module": [[98, "module-implementations.problem_classes.Auzinger_implicit"]], "implementations.problem_classes.Battery module": [[99, "module-implementations.problem_classes.Battery"]], "implementations.problem_classes.Boussinesq_2D_FD_imex module": [[100, "module-implementations.problem_classes.Boussinesq_2D_FD_imex"]], "implementations.problem_classes.BuckConverter module": [[101, "module-implementations.problem_classes.BuckConverter"]], "implementations.problem_classes.DiscontinuousTestODE module": [[102, "module-implementations.problem_classes.DiscontinuousTestODE"]], "implementations.problem_classes.FastWaveSlowWave_0D module": [[103, "module-implementations.problem_classes.FastWaveSlowWave_0D"]], "implementations.problem_classes.FermiPastaUlamTsingou module": [[104, "module-implementations.problem_classes.FermiPastaUlamTsingou"]], "implementations.problem_classes.FullSolarSystem module": [[105, "module-implementations.problem_classes.FullSolarSystem"]], "implementations.problem_classes.GeneralizedFisher_1D_FD_implicit module": [[106, "module-implementations.problem_classes.GeneralizedFisher_1D_FD_implicit"]], "implementations.problem_classes.GeneralizedFisher_1D_PETSc module": [[107, "module-implementations.problem_classes.GeneralizedFisher_1D_PETSc"]], "implementations.problem_classes.GrayScott_1D_FEniCS_implicit module": [[108, "module-implementations.problem_classes.GrayScott_1D_FEniCS_implicit"]], "implementations.problem_classes.GrayScott_2D_PETSc_periodic module": [[109, "module-implementations.problem_classes.GrayScott_2D_PETSc_periodic"]], "implementations.problem_classes.GrayScott_MPIFFT module": [[110, "module-implementations.problem_classes.GrayScott_MPIFFT"]], "implementations.problem_classes.HarmonicOscillator module": [[111, "module-implementations.problem_classes.HarmonicOscillator"]], "implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced module": [[112, "module-implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced"]], "implementations.problem_classes.HeatEquation_2D_PETSc_forced module": [[113, 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implementations.problem_classes.quench)": [[123, "implementations.problem_classes.Quench.QuenchIMEX"]], "dtype_f (quench attribute)": [[123, "implementations.problem_classes.Quench.Quench.dtype_f"]], "dtype_f (quenchimex attribute)": [[123, "implementations.problem_classes.Quench.QuenchIMEX.dtype_f"]], "dtype_u (quench attribute)": [[123, "implementations.problem_classes.Quench.Quench.dtype_u"]], "dx (quench attribute)": [[123, "implementations.problem_classes.Quench.Quench.dx"]], "eval_f() (quench method)": [[123, "implementations.problem_classes.Quench.Quench.eval_f"]], "eval_f() (quenchimex method)": [[123, "implementations.problem_classes.Quench.QuenchIMEX.eval_f"]], "eval_f_non_linear() (quench method)": [[123, "implementations.problem_classes.Quench.Quench.eval_f_non_linear"]], "get_non_linear_jacobian() (quench method)": [[123, "implementations.problem_classes.Quench.Quench.get_non_linear_Jacobian"]], "implementations.problem_classes.quench": [[123, 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"implementations.problem_classes.TestEquation_0D.testequation0d.mesh.bcast"]], "comm (testequation0d.mesh property)": [[124, "implementations.problem_classes.TestEquation_0D.testequation0d.mesh.comm"]], "dtype_f (testequation0d attribute)": [[124, "implementations.problem_classes.TestEquation_0D.testequation0d.dtype_f"]], "dtype_u (testequation0d attribute)": [[124, "implementations.problem_classes.TestEquation_0D.testequation0d.dtype_u"]], "eval_f() (testequation0dxpu method)": [[124, "implementations.problem_classes.TestEquation_0D.testequation0dXPU.eval_f"]], "get_xpu_version() (testequation0dxpu class method)": [[124, "implementations.problem_classes.TestEquation_0D.testequation0dXPU.get_XPU_version"]], "implementations.problem_classes.testequation_0d": [[124, "module-implementations.problem_classes.TestEquation_0D"]], "irecv() (testequation0d.mesh method)": [[124, "implementations.problem_classes.TestEquation_0D.testequation0d.mesh.irecv"]], "isend() (testequation0d.mesh method)": [[124, "implementations.problem_classes.TestEquation_0D.testequation0d.mesh.isend"]], "solve_system() (testequation0dxpu method)": [[124, "implementations.problem_classes.TestEquation_0D.testequation0dXPU.solve_system"]], "splu() (testequation0d static method)": [[124, "implementations.problem_classes.TestEquation_0D.testequation0d.splu"]], "testequation0d (class in implementations.problem_classes.testequation_0d)": [[124, "implementations.problem_classes.TestEquation_0D.testequation0d"]], "testequation0d.mesh (class in implementations.problem_classes.testequation_0d)": [[124, "implementations.problem_classes.TestEquation_0D.testequation0d.mesh"]], "testequation0dxpu (class in implementations.problem_classes.testequation_0d)": [[124, "implementations.problem_classes.TestEquation_0D.testequation0dXPU"]], "u_exact() (testequation0dxpu method)": [[124, "implementations.problem_classes.TestEquation_0D.testequation0dXPU.u_exact"]], "xp (testequation0d attribute)": [[124, "implementations.problem_classes.TestEquation_0D.testequation0d.xp"]], "xsp (testequation0d attribute)": [[124, "implementations.problem_classes.TestEquation_0D.testequation0d.xsp"]], "dtype_f (vanderpol attribute)": [[126, "implementations.problem_classes.Van_der_Pol_implicit.vanderpol.dtype_f"]], "dtype_u (vanderpol attribute)": [[126, "implementations.problem_classes.Van_der_Pol_implicit.vanderpol.dtype_u"]], "eval_f() (vanderpol method)": [[126, "implementations.problem_classes.Van_der_Pol_implicit.vanderpol.eval_f"]], "implementations.problem_classes.van_der_pol_implicit": [[126, "module-implementations.problem_classes.Van_der_Pol_implicit"]], "solve_system() (vanderpol method)": [[126, "implementations.problem_classes.Van_der_Pol_implicit.vanderpol.solve_system"]], "u_exact() (vanderpol method)": [[126, "implementations.problem_classes.Van_der_Pol_implicit.vanderpol.u_exact"]], "vanderpol (class in implementations.problem_classes.van_der_pol_implicit)": [[126, "implementations.problem_classes.Van_der_Pol_implicit.vanderpol"]], "work_counters (vanderpol attribute)": [[126, "implementations.problem_classes.Van_der_Pol_implicit.vanderpol.work_counters"]], "k (fenics_vortex_2d attribute)": [[127, "implementations.problem_classes.VorticityVelocity_2D_FEniCS_periodic.fenics_vortex_2d.K"]], "m (fenics_vortex_2d attribute)": [[127, "implementations.problem_classes.VorticityVelocity_2D_FEniCS_periodic.fenics_vortex_2d.M"]], "v (fenics_vortex_2d attribute)": [[127, "implementations.problem_classes.VorticityVelocity_2D_FEniCS_periodic.fenics_vortex_2d.V"]], "dtype_f (fenics_vortex_2d attribute)": [[127, "implementations.problem_classes.VorticityVelocity_2D_FEniCS_periodic.fenics_vortex_2d.dtype_f"]], "dtype_u (fenics_vortex_2d attribute)": [[127, "implementations.problem_classes.VorticityVelocity_2D_FEniCS_periodic.fenics_vortex_2d.dtype_u"]], "eval_f() (fenics_vortex_2d method)": [[127, "implementations.problem_classes.VorticityVelocity_2D_FEniCS_periodic.fenics_vortex_2d.eval_f"]], "fenics_vortex_2d (class in implementations.problem_classes.vorticityvelocity_2d_fenics_periodic)": [[127, "implementations.problem_classes.VorticityVelocity_2D_FEniCS_periodic.fenics_vortex_2d"]], "implementations.problem_classes.vorticityvelocity_2d_fenics_periodic": [[127, "module-implementations.problem_classes.VorticityVelocity_2D_FEniCS_periodic"]], "solve_system() (fenics_vortex_2d method)": [[127, "implementations.problem_classes.VorticityVelocity_2D_FEniCS_periodic.fenics_vortex_2d.solve_system"]], "u_exact() (fenics_vortex_2d method)": [[127, "implementations.problem_classes.VorticityVelocity_2D_FEniCS_periodic.fenics_vortex_2d.u_exact"]], "implementations.problem_classes.acoustic_helpers": [[128, "module-implementations.problem_classes.acoustic_helpers"]], "getbcleft() (in module implementations.problem_classes.acoustic_helpers.buildfdmatrix)": [[129, "implementations.problem_classes.acoustic_helpers.buildFDMatrix.getBCLeft"]], "getbcright() (in module implementations.problem_classes.acoustic_helpers.buildfdmatrix)": [[129, "implementations.problem_classes.acoustic_helpers.buildFDMatrix.getBCRight"]], "gethorizontaldx() (in module implementations.problem_classes.acoustic_helpers.buildfdmatrix)": [[129, "implementations.problem_classes.acoustic_helpers.buildFDMatrix.getHorizontalDx"]], "getmatrix() (in module implementations.problem_classes.acoustic_helpers.buildfdmatrix)": [[129, "implementations.problem_classes.acoustic_helpers.buildFDMatrix.getMatrix"]], "implementations.problem_classes.acoustic_helpers.buildfdmatrix": [[129, "module-implementations.problem_classes.acoustic_helpers.buildFDMatrix"]], "getwave1dadvectionmatrix() (in module implementations.problem_classes.acoustic_helpers.buildwave1dmatrix)": [[130, "implementations.problem_classes.acoustic_helpers.buildWave1DMatrix.getWave1DAdvectionMatrix"]], "getwave1dmatrix() (in module implementations.problem_classes.acoustic_helpers.buildwave1dmatrix)": [[130, "implementations.problem_classes.acoustic_helpers.buildWave1DMatrix.getWave1DMatrix"]], "getwavebcleft() (in module implementations.problem_classes.acoustic_helpers.buildwave1dmatrix)": [[130, "implementations.problem_classes.acoustic_helpers.buildWave1DMatrix.getWaveBCLeft"]], "getwavebcright() (in module implementations.problem_classes.acoustic_helpers.buildwave1dmatrix)": [[130, "implementations.problem_classes.acoustic_helpers.buildWave1DMatrix.getWaveBCRight"]], "implementations.problem_classes.acoustic_helpers.buildwave1dmatrix": [[130, "module-implementations.problem_classes.acoustic_helpers.buildWave1DMatrix"]], "bdf2 (class in implementations.problem_classes.acoustic_helpers.standard_integrators)": [[131, "implementations.problem_classes.acoustic_helpers.standard_integrators.bdf2"]], "dirk (class in implementations.problem_classes.acoustic_helpers.standard_integrators)": [[131, "implementations.problem_classes.acoustic_helpers.standard_integrators.dirk"]], "f() (dirk method)": [[131, "implementations.problem_classes.acoustic_helpers.standard_integrators.dirk.f"], [137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.dirk.f"]], "f_fast() (rk_imex method)": [[131, "implementations.problem_classes.acoustic_helpers.standard_integrators.rk_imex.f_fast"], [137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.rk_imex.f_fast"]], "f_fast_solve() (rk_imex method)": [[131, "implementations.problem_classes.acoustic_helpers.standard_integrators.rk_imex.f_fast_solve"], [137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.rk_imex.f_fast_solve"]], "f_slow() (rk_imex method)": [[131, "implementations.problem_classes.acoustic_helpers.standard_integrators.rk_imex.f_slow"], [137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.rk_imex.f_slow"]], "f_solve() (dirk method)": [[131, "implementations.problem_classes.acoustic_helpers.standard_integrators.dirk.f_solve"], [137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.dirk.f_solve"]], "firsttimestep() (bdf2 method)": [[131, "implementations.problem_classes.acoustic_helpers.standard_integrators.bdf2.firsttimestep"], [137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.bdf2.firsttimestep"]], "implementations.problem_classes.acoustic_helpers.standard_integrators": [[131, "module-implementations.problem_classes.acoustic_helpers.standard_integrators"]], "rk_imex (class in implementations.problem_classes.acoustic_helpers.standard_integrators)": [[131, "implementations.problem_classes.acoustic_helpers.standard_integrators.rk_imex"]], "timestep() (bdf2 method)": [[131, "implementations.problem_classes.acoustic_helpers.standard_integrators.bdf2.timestep"], [137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.bdf2.timestep"]], "timestep() (dirk method)": [[131, "implementations.problem_classes.acoustic_helpers.standard_integrators.dirk.timestep"], [137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.dirk.timestep"]], "timestep() (rk_imex method)": [[131, "implementations.problem_classes.acoustic_helpers.standard_integrators.rk_imex.timestep"], [137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.rk_imex.timestep"]], "timestep() (trapezoidal method)": [[131, "implementations.problem_classes.acoustic_helpers.standard_integrators.trapezoidal.timestep"], [137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.trapezoidal.timestep"]], "trapezoidal (class in implementations.problem_classes.acoustic_helpers.standard_integrators)": [[131, "implementations.problem_classes.acoustic_helpers.standard_integrators.trapezoidal"]], "implementations.problem_classes.boussinesq_helpers": [[132, "module-implementations.problem_classes.boussinesq_helpers"]], "get2dmatrix() (in module implementations.problem_classes.boussinesq_helpers.build2dfdmatrix)": [[133, "implementations.problem_classes.boussinesq_helpers.build2DFDMatrix.get2DMatrix"]], "get2dmesh() (in module implementations.problem_classes.boussinesq_helpers.build2dfdmatrix)": [[133, "implementations.problem_classes.boussinesq_helpers.build2DFDMatrix.get2DMesh"]], "get2dupwindmatrix() (in module implementations.problem_classes.boussinesq_helpers.build2dfdmatrix)": [[133, "implementations.problem_classes.boussinesq_helpers.build2DFDMatrix.get2DUpwindMatrix"]], "getbchorizontal() (in module implementations.problem_classes.boussinesq_helpers.build2dfdmatrix)": [[133, "implementations.problem_classes.boussinesq_helpers.build2DFDMatrix.getBCHorizontal"]], "getbcvertical() (in module implementations.problem_classes.boussinesq_helpers.build2dfdmatrix)": [[133, "implementations.problem_classes.boussinesq_helpers.build2DFDMatrix.getBCVertical"]], "implementations.problem_classes.boussinesq_helpers.build2dfdmatrix": [[133, "module-implementations.problem_classes.boussinesq_helpers.build2DFDMatrix"]], "getboussinesq2dmatrix() (in module implementations.problem_classes.boussinesq_helpers.buildboussinesq2dmatrix)": [[134, "implementations.problem_classes.boussinesq_helpers.buildBoussinesq2DMatrix.getBoussinesq2DMatrix"]], "getboussinesq2dupwindmatrix() (in module implementations.problem_classes.boussinesq_helpers.buildboussinesq2dmatrix)": [[134, "implementations.problem_classes.boussinesq_helpers.buildBoussinesq2DMatrix.getBoussinesq2DUpwindMatrix"]], "getboussinesqbchorizontal() (in module implementations.problem_classes.boussinesq_helpers.buildboussinesq2dmatrix)": [[134, "implementations.problem_classes.boussinesq_helpers.buildBoussinesq2DMatrix.getBoussinesqBCHorizontal"]], "getboussinesqbcvertical() (in module implementations.problem_classes.boussinesq_helpers.buildboussinesq2dmatrix)": [[134, "implementations.problem_classes.boussinesq_helpers.buildBoussinesq2DMatrix.getBoussinesqBCVertical"]], "implementations.problem_classes.boussinesq_helpers.buildboussinesq2dmatrix": [[134, "module-implementations.problem_classes.boussinesq_helpers.buildBoussinesq2DMatrix"]], "getbcleft() (in module implementations.problem_classes.boussinesq_helpers.buildfdmatrix)": [[135, "implementations.problem_classes.boussinesq_helpers.buildFDMatrix.getBCLeft"]], "getbcright() (in module implementations.problem_classes.boussinesq_helpers.buildfdmatrix)": [[135, "implementations.problem_classes.boussinesq_helpers.buildFDMatrix.getBCRight"]], "getmatrix() (in module implementations.problem_classes.boussinesq_helpers.buildfdmatrix)": [[135, "implementations.problem_classes.boussinesq_helpers.buildFDMatrix.getMatrix"]], "getupwindmatrix() (in module implementations.problem_classes.boussinesq_helpers.buildfdmatrix)": [[135, "implementations.problem_classes.boussinesq_helpers.buildFDMatrix.getUpwindMatrix"]], "implementations.problem_classes.boussinesq_helpers.buildfdmatrix": [[135, "module-implementations.problem_classes.boussinesq_helpers.buildFDMatrix"]], "callback (class in implementations.problem_classes.boussinesq_helpers.helper_classes)": [[136, "implementations.problem_classes.boussinesq_helpers.helper_classes.Callback"]], "add() (logging method)": [[136, "implementations.problem_classes.boussinesq_helpers.helper_classes.logging.add"]], "getcounter() (callback method)": [[136, "implementations.problem_classes.boussinesq_helpers.helper_classes.Callback.getcounter"]], "getresidual() (callback method)": [[136, "implementations.problem_classes.boussinesq_helpers.helper_classes.Callback.getresidual"]], "implementations.problem_classes.boussinesq_helpers.helper_classes": [[136, "module-implementations.problem_classes.boussinesq_helpers.helper_classes"]], "logging (class in implementations.problem_classes.boussinesq_helpers.helper_classes)": [[136, "implementations.problem_classes.boussinesq_helpers.helper_classes.logging"]], "numsmalltimesteps() (splitexplicit method)": [[137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.SplitExplicit.NumSmallTimeSteps"]], "rk3lin() (splitexplicit method)": [[137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.SplitExplicit.RK3Lin"]], "splitexplicit (class in implementations.problem_classes.boussinesq_helpers.standard_integrators)": [[137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.SplitExplicit"]], "verletlin() (splitexplicit method)": [[137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.SplitExplicit.VerletLin"]], "bdf2 (class in implementations.problem_classes.boussinesq_helpers.standard_integrators)": [[137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.bdf2"]], "dirk (class in implementations.problem_classes.boussinesq_helpers.standard_integrators)": [[137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.dirk"]], "f() (bdf2 method)": [[137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.bdf2.f"]], "f() (trapezoidal method)": [[137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.trapezoidal.f"]], "f_fast() (splitexplicit method)": [[137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.SplitExplicit.f_fast"]], "f_fastmom() (splitexplicit method)": [[137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.SplitExplicit.f_fastMom"]], "f_fastther() (splitexplicit method)": [[137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.SplitExplicit.f_fastTher"]], "f_slow() (splitexplicit method)": [[137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.SplitExplicit.f_slow"]], "f_solve() (bdf2 method)": [[137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.bdf2.f_solve"]], "f_solve() (trapezoidal method)": [[137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.trapezoidal.f_solve"]], "implementations.problem_classes.boussinesq_helpers.standard_integrators": [[137, "module-implementations.problem_classes.boussinesq_helpers.standard_integrators"]], "rk_imex (class in implementations.problem_classes.boussinesq_helpers.standard_integrators)": [[137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.rk_imex"]], "timestep() (splitexplicit method)": [[137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.SplitExplicit.timestep"]], "trapezoidal (class in implementations.problem_classes.boussinesq_helpers.standard_integrators)": [[137, "implementations.problem_classes.boussinesq_helpers.standard_integrators.trapezoidal"]], "implementations.problem_classes.boussinesq_helpers.unflatten": [[138, "module-implementations.problem_classes.boussinesq_helpers.unflatten"]], "unflatten() (in module implementations.problem_classes.boussinesq_helpers.unflatten)": [[138, "implementations.problem_classes.boussinesq_helpers.unflatten.unflatten"]], "a (genericndimfindiff attribute)": [[139, "implementations.problem_classes.generic_ND_FD.GenericNDimFinDiff.A"]], "genericndimfindiff (class in implementations.problem_classes.generic_nd_fd)": [[139, "implementations.problem_classes.generic_ND_FD.GenericNDimFinDiff"]], "id (genericndimfindiff attribute)": [[139, "implementations.problem_classes.generic_ND_FD.GenericNDimFinDiff.Id"]], "dtype_f (genericndimfindiff attribute)": [[139, "implementations.problem_classes.generic_ND_FD.GenericNDimFinDiff.dtype_f"]], "dtype_u (genericndimfindiff attribute)": [[139, "implementations.problem_classes.generic_ND_FD.GenericNDimFinDiff.dtype_u"]], "dx (genericndimfindiff property)": [[139, "implementations.problem_classes.generic_ND_FD.GenericNDimFinDiff.dx"]], "eval_f() (genericndimfindiff method)": [[139, "implementations.problem_classes.generic_ND_FD.GenericNDimFinDiff.eval_f"]], "get_default_sweeper_class() (genericndimfindiff class method)": [[139, "implementations.problem_classes.generic_ND_FD.GenericNDimFinDiff.get_default_sweeper_class"]], "grids (genericndimfindiff property)": [[139, "implementations.problem_classes.generic_ND_FD.GenericNDimFinDiff.grids"]], "implementations.problem_classes.generic_nd_fd": [[139, "module-implementations.problem_classes.generic_ND_FD"]], "ndim (genericndimfindiff property)": [[139, "implementations.problem_classes.generic_ND_FD.GenericNDimFinDiff.ndim"]], "solve_system() (genericndimfindiff method)": [[139, "implementations.problem_classes.generic_ND_FD.GenericNDimFinDiff.solve_system"]], "xvalues (genericndimfindiff attribute)": [[139, "implementations.problem_classes.generic_ND_FD.GenericNDimFinDiff.xvalues"]], "dtype_f (nonlinear_ode_1 attribute)": [[140, "implementations.problem_classes.nonlinear_ODE_1.nonlinear_ODE_1.dtype_f"]], "dtype_u (nonlinear_ode_1 attribute)": [[140, "implementations.problem_classes.nonlinear_ODE_1.nonlinear_ODE_1.dtype_u"]], "eval_f() (nonlinear_ode_1 method)": [[140, "implementations.problem_classes.nonlinear_ODE_1.nonlinear_ODE_1.eval_f"]], "implementations.problem_classes.nonlinear_ode_1": [[140, "module-implementations.problem_classes.nonlinear_ODE_1"]], "newton_itercount (nonlinear_ode_1 attribute)": [[140, "implementations.problem_classes.nonlinear_ODE_1.nonlinear_ODE_1.newton_itercount"]], "newton_ncalls (nonlinear_ode_1 attribute)": [[140, "implementations.problem_classes.nonlinear_ODE_1.nonlinear_ODE_1.newton_ncalls"]], "nonlinear_ode_1 (class in implementations.problem_classes.nonlinear_ode_1)": [[140, "implementations.problem_classes.nonlinear_ODE_1.nonlinear_ODE_1"]], "solve_system() (nonlinear_ode_1 method)": [[140, "implementations.problem_classes.nonlinear_ODE_1.nonlinear_ODE_1.solve_system"]], "u_exact() (nonlinear_ode_1 method)": [[140, "implementations.problem_classes.nonlinear_ODE_1.nonlinear_ODE_1.u_exact"]], "dtype_f (polynomial_testequation attribute)": [[141, "implementations.problem_classes.polynomial_test_problem.polynomial_testequation.dtype_f"]], "dtype_f (polynomial_testequation_imex attribute)": [[141, "implementations.problem_classes.polynomial_test_problem.polynomial_testequation_IMEX.dtype_f"]], "dtype_u (polynomial_testequation attribute)": [[141, "implementations.problem_classes.polynomial_test_problem.polynomial_testequation.dtype_u"]], "eval_f() (polynomial_testequation method)": [[141, "implementations.problem_classes.polynomial_test_problem.polynomial_testequation.eval_f"]], "eval_f() (polynomial_testequation_imex method)": [[141, "implementations.problem_classes.polynomial_test_problem.polynomial_testequation_IMEX.eval_f"]], "implementations.problem_classes.polynomial_test_problem": [[141, "module-implementations.problem_classes.polynomial_test_problem"]], "polynomial_testequation (class in implementations.problem_classes.polynomial_test_problem)": [[141, "implementations.problem_classes.polynomial_test_problem.polynomial_testequation"]], "polynomial_testequation_imex (class in implementations.problem_classes.polynomial_test_problem)": [[141, "implementations.problem_classes.polynomial_test_problem.polynomial_testequation_IMEX"]], "solve_system() (polynomial_testequation method)": [[141, "implementations.problem_classes.polynomial_test_problem.polynomial_testequation.solve_system"]], "u_exact() (polynomial_testequation method)": [[141, "implementations.problem_classes.polynomial_test_problem.polynomial_testequation.u_exact"]], "implementations.sweeper_classes": [[142, "module-implementations.sweeper_classes"]], "adamsbashforthexplicit1step (class in implementations.sweeper_classes.multistep)": [[143, "implementations.sweeper_classes.Multistep.AdamsBashforthExplicit1Step"]], "adamsmoultonimplicit1step (class in implementations.sweeper_classes.multistep)": [[143, "implementations.sweeper_classes.Multistep.AdamsMoultonImplicit1Step"]], "adamsmoultonimplicit2step (class in implementations.sweeper_classes.multistep)": [[143, "implementations.sweeper_classes.Multistep.AdamsMoultonImplicit2Step"]], "backwardeuler (class in implementations.sweeper_classes.multistep)": [[143, "implementations.sweeper_classes.Multistep.BackwardEuler"]], "cache (class in implementations.sweeper_classes.multistep)": [[143, "implementations.sweeper_classes.Multistep.Cache"]], "multistep (class in implementations.sweeper_classes.multistep)": [[143, "implementations.sweeper_classes.Multistep.MultiStep"]], "alpha (adamsbashforthexplicit1step attribute)": [[143, "implementations.sweeper_classes.Multistep.AdamsBashforthExplicit1Step.alpha"]], "alpha (adamsmoultonimplicit1step attribute)": [[143, 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"get_scalar_problems_sweeper_mats() (imex_1st_order method)": [[150, "implementations.sweeper_classes.imex_1st_order.imex_1st_order.get_scalar_problems_sweeper_mats"]], "get_sweeper_mats() (imex_1st_order method)": [[150, "implementations.sweeper_classes.imex_1st_order.imex_1st_order.get_sweeper_mats"]], "imex_1st_order (class in implementations.sweeper_classes.imex_1st_order)": [[150, "implementations.sweeper_classes.imex_1st_order.imex_1st_order"]], "implementations.sweeper_classes.imex_1st_order": [[150, "module-implementations.sweeper_classes.imex_1st_order"]], "integrate() (imex_1st_order method)": [[150, "implementations.sweeper_classes.imex_1st_order.imex_1st_order.integrate"]], "update_nodes() (imex_1st_order method)": [[150, "implementations.sweeper_classes.imex_1st_order.imex_1st_order.update_nodes"]], "compute_end_point() (imex_1st_order_mpi method)": [[151, "implementations.sweeper_classes.imex_1st_order_MPI.imex_1st_order_MPI.compute_end_point"]], "imex_1st_order_mpi (class in implementations.sweeper_classes.imex_1st_order_mpi)": [[151, "implementations.sweeper_classes.imex_1st_order_MPI.imex_1st_order_MPI"]], "implementations.sweeper_classes.imex_1st_order_mpi": [[151, "module-implementations.sweeper_classes.imex_1st_order_MPI"]], "integrate() (imex_1st_order_mpi method)": [[151, "implementations.sweeper_classes.imex_1st_order_MPI.imex_1st_order_MPI.integrate"]], "update_nodes() (imex_1st_order_mpi method)": [[151, "implementations.sweeper_classes.imex_1st_order_MPI.imex_1st_order_MPI.update_nodes"]], "compute_end_point() (imex_1st_order_mass method)": [[152, "implementations.sweeper_classes.imex_1st_order_mass.imex_1st_order_mass.compute_end_point"]], "compute_residual() (imex_1st_order_mass method)": [[152, "implementations.sweeper_classes.imex_1st_order_mass.imex_1st_order_mass.compute_residual"]], "imex_1st_order_mass (class in implementations.sweeper_classes.imex_1st_order_mass)": [[152, 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(class in implementations.sweeper_classes.verlet)": [[154, "implementations.sweeper_classes.verlet.verlet"]], "implementations.transfer_classes": [[155, "module-implementations.transfer_classes"]], "base_transfer_mass (class in implementations.transfer_classes.basetransfer_mass)": [[156, "implementations.transfer_classes.BaseTransfer_mass.base_transfer_mass"]], "coarse (base_transfer_mass attribute)": [[156, "implementations.transfer_classes.BaseTransfer_mass.base_transfer_mass.coarse"]], "fine (base_transfer_mass attribute)": [[156, "implementations.transfer_classes.BaseTransfer_mass.base_transfer_mass.fine"]], "implementations.transfer_classes.basetransfer_mass": [[156, "module-implementations.transfer_classes.BaseTransfer_mass"]], "logger (base_transfer_mass attribute)": [[156, "implementations.transfer_classes.BaseTransfer_mass.base_transfer_mass.logger"]], "params (base_transfer_mass attribute)": [[156, 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"implementations.transfer_classes.TransferMesh_NoCoarse.mesh_to_mesh.prolong"]], "restrict() (mesh_to_mesh method)": [[158, "implementations.transfer_classes.TransferMesh.mesh_to_mesh.restrict"], [162, "implementations.transfer_classes.TransferMesh_NoCoarse.mesh_to_mesh.restrict"]], "implementations.transfer_classes.transfermesh_fft": [[159, "module-implementations.transfer_classes.TransferMesh_FFT"]], "irfft_object_fine (mesh_to_mesh_fft attribute)": [[159, "implementations.transfer_classes.TransferMesh_FFT.mesh_to_mesh_fft.irfft_object_fine"]], "mesh_to_mesh_fft (class in implementations.transfer_classes.transfermesh_fft)": [[159, "implementations.transfer_classes.TransferMesh_FFT.mesh_to_mesh_fft"]], "prolong() (mesh_to_mesh_fft method)": [[159, "implementations.transfer_classes.TransferMesh_FFT.mesh_to_mesh_fft.prolong"]], "restrict() (mesh_to_mesh_fft method)": [[159, "implementations.transfer_classes.TransferMesh_FFT.mesh_to_mesh_fft.restrict"]], "rfft_object_coarse (mesh_to_mesh_fft attribute)": [[159, "implementations.transfer_classes.TransferMesh_FFT.mesh_to_mesh_fft.rfft_object_coarse"]], "pspace (mesh_to_mesh_fft2d attribute)": [[160, "implementations.transfer_classes.TransferMesh_FFT2D.mesh_to_mesh_fft2d.Pspace"]], "rspace (mesh_to_mesh_fft2d attribute)": [[160, "implementations.transfer_classes.TransferMesh_FFT2D.mesh_to_mesh_fft2d.Rspace"]], "implementations.transfer_classes.transfermesh_fft2d": [[160, "module-implementations.transfer_classes.TransferMesh_FFT2D"]], "mesh_to_mesh_fft2d (class in implementations.transfer_classes.transfermesh_fft2d)": [[160, "implementations.transfer_classes.TransferMesh_FFT2D.mesh_to_mesh_fft2d"]], "prolong() (mesh_to_mesh_fft2d method)": [[160, "implementations.transfer_classes.TransferMesh_FFT2D.mesh_to_mesh_fft2d.prolong"]], "restrict() (mesh_to_mesh_fft2d method)": [[160, "implementations.transfer_classes.TransferMesh_FFT2D.mesh_to_mesh_fft2d.restrict"]], "fft_to_fft (class in implementations.transfer_classes.transfermesh_mpifft)": [[161, "implementations.transfer_classes.TransferMesh_MPIFFT.fft_to_fft"]], "implementations.transfer_classes.transfermesh_mpifft": [[161, "module-implementations.transfer_classes.TransferMesh_MPIFFT"]], "prolong() (fft_to_fft method)": [[161, "implementations.transfer_classes.TransferMesh_MPIFFT.fft_to_fft.prolong"]], "restrict() (fft_to_fft method)": [[161, "implementations.transfer_classes.TransferMesh_MPIFFT.fft_to_fft.restrict"]], "implementations.transfer_classes.transfermesh_nocoarse": [[162, "module-implementations.transfer_classes.TransferMesh_NoCoarse"]], "mesh_to_mesh (class in implementations.transfer_classes.transfermesh_nocoarse)": [[162, "implementations.transfer_classes.TransferMesh_NoCoarse.mesh_to_mesh"]], "implementations.transfer_classes.transferpetscdmda": [[163, "module-implementations.transfer_classes.TransferPETScDMDA"]], "mesh_to_mesh_petsc_dmda (class in implementations.transfer_classes.transferpetscdmda)": [[163, "implementations.transfer_classes.TransferPETScDMDA.mesh_to_mesh_petsc_dmda"]], "prolong() (mesh_to_mesh_petsc_dmda method)": [[163, "implementations.transfer_classes.TransferPETScDMDA.mesh_to_mesh_petsc_dmda.prolong"]], "restrict() (mesh_to_mesh_petsc_dmda method)": [[163, "implementations.transfer_classes.TransferPETScDMDA.mesh_to_mesh_petsc_dmda.restrict"]], "implementations.transfer_classes.transferparticles_nocoarse": [[164, "module-implementations.transfer_classes.TransferParticles_NoCoarse"]], "particles_to_particles (class in implementations.transfer_classes.transferparticles_nocoarse)": [[164, "implementations.transfer_classes.TransferParticles_NoCoarse.particles_to_particles"]], "prolong() (particles_to_particles method)": [[164, "implementations.transfer_classes.TransferParticles_NoCoarse.particles_to_particles.prolong"]], "restrict() (particles_to_particles method)": [[164, "implementations.transfer_classes.TransferParticles_NoCoarse.particles_to_particles.restrict"]]}})
\ No newline at end of file
diff --git a/tutorial/doc_step_2_C.html b/tutorial/doc_step_2_C.html
index 8c4f868cd9..c549dd269e 100644
--- a/tutorial/doc_step_2_C.html
+++ b/tutorial/doc_step_2_C.html
@@ -118,7 +118,7 @@ <h3>Navigation</h3>
 </pre></div>
 </div>
 <p>Results:</p>
-<div class="highlight-default notranslate"><div class="highlight"><pre><span></span>2023-12-26 12:57:17,586 - controller - Controller - welcome_message - 146 - INFO: Welcome to the one and only, really very astonishing and 87.3% bug free
+<div class="highlight-default notranslate"><div class="highlight"><pre><span></span>2023-12-26 13:28:15,984 - controller - Controller - welcome_message - 146 - INFO: Welcome to the one and only, really very astonishing and 87.3% bug free
                                  _____ _____   _____ 
                                 / ____|  __ \ / ____|
                     _ __  _   _| (___ | |  | | |     
@@ -128,8 +128,8 @@ <h3>Navigation</h3>
                    | |     __/ |                     
                    |_|    |___/                      
                                                      
-2023-12-26 12:57:17,586 - controller - Controller - dump_setup - 160 - INFO: Setup overview (--&gt; user-defined, -&gt; dependency) -- BEGIN
-2023-12-26 12:57:17,586 - controller - Controller - dump_setup - 227 - INFO: ----------------------------------------------------------------------------------------------------
+2023-12-26 13:28:15,985 - controller - Controller - dump_setup - 160 - INFO: Setup overview (--&gt; user-defined, -&gt; dependency) -- BEGIN
+2023-12-26 13:28:15,985 - controller - Controller - dump_setup - 227 - INFO: ----------------------------------------------------------------------------------------------------
 
 Controller: &lt;class &#39;pySDC.implementations.controller_classes.controller_nonMPI.controller_nonMPI&#39;&gt;
     all_to_done = False
@@ -182,34 +182,34 @@ <h3>Navigation</h3>
  -&gt; |  1 |   100 | SpreadStepSizesBlockwiseNonMPI
     |  2 |   200 | CheckConvergence
 
-2023-12-26 12:57:17,586 - controller - Controller - dump_setup - 230 - INFO: ----------------------------------------------------------------------------------------------------
-2023-12-26 12:57:17,586 - controller - Controller - dump_setup - 232 - INFO: Setup overview (--&gt; user-defined, -&gt; dependency) -- END
+2023-12-26 13:28:15,985 - controller - Controller - dump_setup - 230 - INFO: ----------------------------------------------------------------------------------------------------
+2023-12-26 13:28:15,985 - controller - Controller - dump_setup - 232 - INFO: Setup overview (--&gt; user-defined, -&gt; dependency) -- END
 
-2023-12-26 12:57:17,590 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  1 -- Sweep:  1 -- residual: 4.11190756e-03
-2023-12-26 12:57:17,593 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  2 -- Sweep:  1 -- residual: 6.68442667e-04
-2023-12-26 12:57:17,596 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  3 -- Sweep:  1 -- residual: 8.80377591e-05
-2023-12-26 12:57:17,600 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  4 -- Sweep:  1 -- residual: 1.21707909e-05
-2023-12-26 12:57:17,603 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  5 -- Sweep:  1 -- residual: 1.38272147e-06
-2023-12-26 12:57:17,606 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  6 -- Sweep:  1 -- residual: 6.36445413e-07
-2023-12-26 12:57:17,609 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  7 -- Sweep:  1 -- residual: 1.68953216e-07
-2023-12-26 12:57:17,613 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  8 -- Sweep:  1 -- residual: 3.52601840e-08
-2023-12-26 12:57:17,616 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  9 -- Sweep:  1 -- residual: 6.07249025e-09
-2023-12-26 12:57:17,619 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration: 10 -- Sweep:  1 -- residual: 8.27343378e-10
-2023-12-26 12:57:17,622 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration: 11 -- Sweep:  1 -- residual: 1.18931339e-10
-2023-12-26 12:57:17,625 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration: 12 -- Sweep:  1 -- residual: 1.48499772e-11
-2023-12-26 12:57:17,629 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  1 -- Sweep:  1 -- residual: 6.69984764e-03
-2023-12-26 12:57:17,633 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  2 -- Sweep:  1 -- residual: 1.05518433e-03
-2023-12-26 12:57:17,636 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  3 -- Sweep:  1 -- residual: 1.40642621e-04
-2023-12-26 12:57:17,639 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  4 -- Sweep:  1 -- residual: 1.85982063e-05
-2023-12-26 12:57:17,642 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  5 -- Sweep:  1 -- residual: 2.79216702e-06
-2023-12-26 12:57:17,645 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  6 -- Sweep:  1 -- residual: 1.12278839e-06
-2023-12-26 12:57:17,649 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  7 -- Sweep:  1 -- residual: 2.85495353e-07
-2023-12-26 12:57:17,652 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  8 -- Sweep:  1 -- residual: 5.78947003e-08
-2023-12-26 12:57:17,655 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  9 -- Sweep:  1 -- residual: 9.68230621e-09
-2023-12-26 12:57:17,658 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration: 10 -- Sweep:  1 -- residual: 1.26313315e-09
-2023-12-26 12:57:17,662 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration: 11 -- Sweep:  1 -- residual: 1.82951499e-10
-2023-12-26 12:57:17,665 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration: 12 -- Sweep:  1 -- residual: 1.99691114e-11
-2023-12-26 12:57:17,665 - hooks - default_hook - post_run - 340 - INFO: Finished run after 0.08s
+2023-12-26 13:28:15,989 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  1 -- Sweep:  1 -- residual: 4.11190756e-03
+2023-12-26 13:28:15,992 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  2 -- Sweep:  1 -- residual: 6.68442667e-04
+2023-12-26 13:28:15,995 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  3 -- Sweep:  1 -- residual: 8.80377591e-05
+2023-12-26 13:28:15,998 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  4 -- Sweep:  1 -- residual: 1.21707909e-05
+2023-12-26 13:28:16,001 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  5 -- Sweep:  1 -- residual: 1.38272147e-06
+2023-12-26 13:28:16,005 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  6 -- Sweep:  1 -- residual: 6.36445413e-07
+2023-12-26 13:28:16,008 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  7 -- Sweep:  1 -- residual: 1.68953216e-07
+2023-12-26 13:28:16,011 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  8 -- Sweep:  1 -- residual: 3.52601840e-08
+2023-12-26 13:28:16,014 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  9 -- Sweep:  1 -- residual: 6.07249025e-09
+2023-12-26 13:28:16,018 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration: 10 -- Sweep:  1 -- residual: 8.27343378e-10
+2023-12-26 13:28:16,021 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration: 11 -- Sweep:  1 -- residual: 1.18931339e-10
+2023-12-26 13:28:16,024 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration: 12 -- Sweep:  1 -- residual: 1.48499772e-11
+2023-12-26 13:28:16,028 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  1 -- Sweep:  1 -- residual: 6.69984764e-03
+2023-12-26 13:28:16,031 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  2 -- Sweep:  1 -- residual: 1.05518433e-03
+2023-12-26 13:28:16,035 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  3 -- Sweep:  1 -- residual: 1.40642621e-04
+2023-12-26 13:28:16,038 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  4 -- Sweep:  1 -- residual: 1.85982063e-05
+2023-12-26 13:28:16,041 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  5 -- Sweep:  1 -- residual: 2.79216702e-06
+2023-12-26 13:28:16,044 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  6 -- Sweep:  1 -- residual: 1.12278839e-06
+2023-12-26 13:28:16,047 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  7 -- Sweep:  1 -- residual: 2.85495353e-07
+2023-12-26 13:28:16,051 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  8 -- Sweep:  1 -- residual: 5.78947003e-08
+2023-12-26 13:28:16,054 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  9 -- Sweep:  1 -- residual: 9.68230621e-09
+2023-12-26 13:28:16,057 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration: 10 -- Sweep:  1 -- residual: 1.26313315e-09
+2023-12-26 13:28:16,060 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration: 11 -- Sweep:  1 -- residual: 1.82951499e-10
+2023-12-26 13:28:16,063 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration: 12 -- Sweep:  1 -- residual: 1.99691114e-11
+2023-12-26 13:28:16,064 - hooks - default_hook - post_run - 340 - INFO: Finished run after 0.08s
 Error after SDC iterations: 1.166689e-05
 </pre></div>
 </div>
diff --git a/tutorial/doc_step_3_B.html b/tutorial/doc_step_3_B.html
index b3bfbdfaa6..d4c1b110a2 100644
--- a/tutorial/doc_step_3_B.html
+++ b/tutorial/doc_step_3_B.html
@@ -145,7 +145,7 @@ <h3>Navigation</h3>
 </pre></div>
 </div>
 <p>Results:</p>
-<div class="highlight-default notranslate"><div class="highlight"><pre><span></span>2023-12-26 12:57:17,985 - controller - Controller - welcome_message - 146 - INFO: Welcome to the one and only, really very astonishing and 87.3% bug free
+<div class="highlight-default notranslate"><div class="highlight"><pre><span></span>2023-12-26 13:28:16,384 - controller - Controller - welcome_message - 146 - INFO: Welcome to the one and only, really very astonishing and 87.3% bug free
                                  _____ _____   _____ 
                                 / ____|  __ \ / ____|
                     _ __  _   _| (___ | |  | | |     
@@ -155,8 +155,8 @@ <h3>Navigation</h3>
                    | |     __/ |                     
                    |_|    |___/                      
                                                      
-2023-12-26 12:57:17,985 - controller - Controller - dump_setup - 160 - INFO: Setup overview (--&gt; user-defined, -&gt; dependency) -- BEGIN
-2023-12-26 12:57:17,985 - controller - Controller - dump_setup - 227 - INFO: ----------------------------------------------------------------------------------------------------
+2023-12-26 13:28:16,384 - controller - Controller - dump_setup - 160 - INFO: Setup overview (--&gt; user-defined, -&gt; dependency) -- BEGIN
+2023-12-26 13:28:16,384 - controller - Controller - dump_setup - 227 - INFO: ----------------------------------------------------------------------------------------------------
 
 Controller: &lt;class &#39;pySDC.implementations.controller_classes.controller_nonMPI.controller_nonMPI&#39;&gt;
     all_to_done = False
@@ -204,21 +204,21 @@ <h3>Navigation</h3>
  -&gt; |  1 |   100 | SpreadStepSizesBlockwiseNonMPI
     |  2 |   200 | CheckConvergence
 
-2023-12-26 12:57:17,985 - controller - Controller - dump_setup - 230 - INFO: ----------------------------------------------------------------------------------------------------
-2023-12-26 12:57:17,985 - controller - Controller - dump_setup - 232 - INFO: Setup overview (--&gt; user-defined, -&gt; dependency) -- END
-
-2023-12-26 12:57:17,991 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  1 -- Sweep:  1 -- residual: 3.53203678e+00
-2023-12-26 12:57:17,997 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  2 -- Sweep:  1 -- residual: 2.09852117e-01
-2023-12-26 12:57:18,002 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  3 -- Sweep:  1 -- residual: 3.50301513e-02
-2023-12-26 12:57:18,008 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  4 -- Sweep:  1 -- residual: 4.67724741e-03
-2023-12-26 12:57:18,013 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  5 -- Sweep:  1 -- residual: 7.95583202e-04
-2023-12-26 12:57:18,019 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  6 -- Sweep:  1 -- residual: 1.11405073e-04
-2023-12-26 12:57:18,024 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  7 -- Sweep:  1 -- residual: 1.26902403e-05
-2023-12-26 12:57:18,030 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  8 -- Sweep:  1 -- residual: 1.16534547e-06
-2023-12-26 12:57:18,035 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  9 -- Sweep:  1 -- residual: 1.66968022e-07
-2023-12-26 12:57:18,041 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration: 10 -- Sweep:  1 -- residual: 2.09408171e-08
-2023-12-26 12:57:18,046 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration: 11 -- Sweep:  1 -- residual: 2.17123386e-09
-2023-12-26 12:57:18,048 - hooks - default_hook - post_run - 340 - INFO: Finished run after 0.06s
+2023-12-26 13:28:16,384 - controller - Controller - dump_setup - 230 - INFO: ----------------------------------------------------------------------------------------------------
+2023-12-26 13:28:16,384 - controller - Controller - dump_setup - 232 - INFO: Setup overview (--&gt; user-defined, -&gt; dependency) -- END
+
+2023-12-26 13:28:16,390 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  1 -- Sweep:  1 -- residual: 3.53203678e+00
+2023-12-26 13:28:16,396 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  2 -- Sweep:  1 -- residual: 2.09852117e-01
+2023-12-26 13:28:16,401 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  3 -- Sweep:  1 -- residual: 3.50301513e-02
+2023-12-26 13:28:16,407 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  4 -- Sweep:  1 -- residual: 4.67724741e-03
+2023-12-26 13:28:16,412 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  5 -- Sweep:  1 -- residual: 7.95583202e-04
+2023-12-26 13:28:16,418 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  6 -- Sweep:  1 -- residual: 1.11405073e-04
+2023-12-26 13:28:16,423 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  7 -- Sweep:  1 -- residual: 1.26902403e-05
+2023-12-26 13:28:16,429 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  8 -- Sweep:  1 -- residual: 1.16534547e-06
+2023-12-26 13:28:16,434 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  9 -- Sweep:  1 -- residual: 1.66968022e-07
+2023-12-26 13:28:16,440 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration: 10 -- Sweep:  1 -- residual: 2.09408171e-08
+2023-12-26 13:28:16,445 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration: 11 -- Sweep:  1 -- residual: 2.17123386e-09
+2023-12-26 13:28:16,448 - hooks - default_hook - post_run - 340 - INFO: Finished run after 0.06s
 Total energy and deviation in iteration  0: 8799.5000000000 -- 0.00000000e+00
 Total energy and deviation in iteration 11: 8785.0038936088 -- 1.44961064e+01
 </pre></div>
diff --git a/tutorial/doc_step_4_D.html b/tutorial/doc_step_4_D.html
index b77c99fe0c..50c494dfdf 100644
--- a/tutorial/doc_step_4_D.html
+++ b/tutorial/doc_step_4_D.html
@@ -191,7 +191,7 @@ <h3>Navigation</h3>
 </pre></div>
 </div>
 <p>Results:</p>
-<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">Timings</span> <span class="k">for</span> <span class="n">SDC</span><span class="p">,</span> <span class="n">MLSDC</span> <span class="ow">and</span> <span class="n">MLSDC</span><span class="o">+</span><span class="n">finter</span><span class="p">:</span>   <span class="mf">3.74905891</span> <span class="o">--</span>   <span class="mf">4.21642664</span> <span class="o">--</span>   <span class="mf">4.89856130</span>
+<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">Timings</span> <span class="k">for</span> <span class="n">SDC</span><span class="p">,</span> <span class="n">MLSDC</span> <span class="ow">and</span> <span class="n">MLSDC</span><span class="o">+</span><span class="n">finter</span><span class="p">:</span>   <span class="mf">3.82246466</span> <span class="o">--</span>   <span class="mf">4.30003812</span> <span class="o">--</span>   <span class="mf">4.94025741</span>
 <span class="n">Total</span> <span class="n">energy</span> <span class="ow">and</span> <span class="n">relative</span> <span class="n">deviation</span> <span class="ow">in</span> <span class="n">iteration</span>  <span class="mi">0</span><span class="p">:</span> <span class="mf">407936.7556966486</span> <span class="o">--</span> <span class="mf">0.00000000e+00</span>
 <span class="n">Total</span> <span class="n">energy</span> <span class="ow">and</span> <span class="n">relative</span> <span class="n">deviation</span> <span class="ow">in</span> <span class="n">iteration</span> <span class="mi">12</span><span class="p">:</span> <span class="mf">406977.9425667246</span> <span class="o">--</span> <span class="mf">2.35039652e-03</span>
 <span class="n">Total</span> <span class="n">energy</span> <span class="ow">and</span> <span class="n">relative</span> <span class="n">deviation</span> <span class="ow">in</span> <span class="n">iteration</span>  <span class="mi">0</span><span class="p">:</span> <span class="mf">407936.7556966486</span> <span class="o">--</span> <span class="mf">0.00000000e+00</span>
diff --git a/tutorial/doc_step_7_A.html b/tutorial/doc_step_7_A.html
index 8079182650..6363ecdc94 100644
--- a/tutorial/doc_step_7_A.html
+++ b/tutorial/doc_step_7_A.html
@@ -43,7 +43,11 @@ <h3>Navigation</h3>
 <span class="kn">from</span> <span class="nn">pySDC.helpers.stats_helper</span> <span class="kn">import</span> <span class="n">get_sorted</span>
 
 <span class="kn">from</span> <span class="nn">pySDC.implementations.controller_classes.controller_nonMPI</span> <span class="kn">import</span> <span class="n">controller_nonMPI</span>
-<span class="kn">from</span> <span class="nn">pySDC.implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced</span> <span class="kn">import</span> <span class="n">fenics_heat_mass</span><span class="p">,</span> <span class="n">fenics_heat</span>
+<span class="kn">from</span> <span class="nn">pySDC.implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced</span> <span class="kn">import</span> <span class="p">(</span>
+    <span class="n">fenics_heat_mass</span><span class="p">,</span>
+    <span class="n">fenics_heat</span><span class="p">,</span>
+    <span class="n">fenics_heat_mass_timebc</span><span class="p">,</span>
+<span class="p">)</span>
 <span class="kn">from</span> <span class="nn">pySDC.implementations.sweeper_classes.imex_1st_order_mass</span> <span class="kn">import</span> <span class="n">imex_1st_order_mass</span><span class="p">,</span> <span class="n">imex_1st_order</span>
 <span class="kn">from</span> <span class="nn">pySDC.implementations.transfer_classes.TransferFenicsMesh</span> <span class="kn">import</span> <span class="n">mesh_to_mesh_fenics</span>
 
@@ -137,6 +141,11 @@ <h3>Navigation</h3>
     <span class="k">elif</span> <span class="n">variant</span> <span class="o">==</span> <span class="s1">&#39;mass_inv&#39;</span><span class="p">:</span>
         <span class="n">description</span><span class="p">[</span><span class="s1">&#39;problem_class&#39;</span><span class="p">]</span> <span class="o">=</span> <span class="n">fenics_heat</span>
         <span class="n">description</span><span class="p">[</span><span class="s1">&#39;sweeper_class&#39;</span><span class="p">]</span> <span class="o">=</span> <span class="n">imex_1st_order</span>
+    <span class="k">elif</span> <span class="n">variant</span> <span class="o">==</span> <span class="s1">&#39;mass_timebc&#39;</span><span class="p">:</span>
+        <span class="c1"># Can increase the tolerance here, errors are higher anyway</span>
+        <span class="n">description</span><span class="p">[</span><span class="s1">&#39;level_params&#39;</span><span class="p">][</span><span class="s1">&#39;restol&#39;</span><span class="p">]</span> <span class="o">*=</span> <span class="mi">20</span>
+        <span class="n">description</span><span class="p">[</span><span class="s1">&#39;problem_class&#39;</span><span class="p">]</span> <span class="o">=</span> <span class="n">fenics_heat_mass_timebc</span>
+        <span class="n">description</span><span class="p">[</span><span class="s1">&#39;sweeper_class&#39;</span><span class="p">]</span> <span class="o">=</span> <span class="n">imex_1st_order_mass</span>
     <span class="k">else</span><span class="p">:</span>
         <span class="k">raise</span> <span class="ne">NotImplementedError</span><span class="p">(</span><span class="s1">&#39;Variant </span><span class="si">%s</span><span class="s1"> is not implemented&#39;</span> <span class="o">%</span> <span class="n">variant</span><span class="p">)</span>
 
@@ -185,10 +194,13 @@ <h3>Navigation</h3>
 
     <span class="k">if</span> <span class="n">num_procs</span> <span class="o">==</span> <span class="mi">1</span><span class="p">:</span>
         <span class="k">assert</span> <span class="n">np</span><span class="o">.</span><span class="n">mean</span><span class="p">(</span><span class="n">niters</span><span class="p">)</span> <span class="o">&lt;=</span> <span class="mf">6.0</span><span class="p">,</span> <span class="s1">&#39;Mean number of iterations is too high, got </span><span class="si">%s</span><span class="s1">&#39;</span> <span class="o">%</span> <span class="n">np</span><span class="o">.</span><span class="n">mean</span><span class="p">(</span><span class="n">niters</span><span class="p">)</span>
-        <span class="k">assert</span> <span class="n">err</span> <span class="o">&lt;=</span> <span class="mf">4.1e-08</span><span class="p">,</span> <span class="s1">&#39;Error is too high, got </span><span class="si">%s</span><span class="s1">&#39;</span> <span class="o">%</span> <span class="n">err</span>
+        <span class="k">if</span> <span class="n">variant</span> <span class="o">==</span> <span class="s1">&#39;mass&#39;</span> <span class="ow">or</span> <span class="n">variant</span> <span class="o">==</span> <span class="s1">&#39;mass_inv&#39;</span><span class="p">:</span>
+            <span class="k">assert</span> <span class="n">err</span> <span class="o">&lt;=</span> <span class="mf">1.14e-08</span><span class="p">,</span> <span class="s1">&#39;Error is too high, got </span><span class="si">%s</span><span class="s1">&#39;</span> <span class="o">%</span> <span class="n">err</span>
+        <span class="k">else</span><span class="p">:</span>
+            <span class="k">assert</span> <span class="n">err</span> <span class="o">&lt;=</span> <span class="mf">3.25e-07</span><span class="p">,</span> <span class="s1">&#39;Error is too high, got </span><span class="si">%s</span><span class="s1">&#39;</span> <span class="o">%</span> <span class="n">err</span>
     <span class="k">else</span><span class="p">:</span>
         <span class="k">assert</span> <span class="n">np</span><span class="o">.</span><span class="n">mean</span><span class="p">(</span><span class="n">niters</span><span class="p">)</span> <span class="o">&lt;=</span> <span class="mf">11.6</span><span class="p">,</span> <span class="s1">&#39;Mean number of iterations is too high, got </span><span class="si">%s</span><span class="s1">&#39;</span> <span class="o">%</span> <span class="n">np</span><span class="o">.</span><span class="n">mean</span><span class="p">(</span><span class="n">niters</span><span class="p">)</span>
-        <span class="k">assert</span> <span class="n">err</span> <span class="o">&lt;=</span> <span class="mf">4.0e-08</span><span class="p">,</span> <span class="s1">&#39;Error is too high, got </span><span class="si">%s</span><span class="s1">&#39;</span> <span class="o">%</span> <span class="n">err</span>
+        <span class="k">assert</span> <span class="n">err</span> <span class="o">&lt;=</span> <span class="mf">1.14e-08</span><span class="p">,</span> <span class="s1">&#39;Error is too high, got </span><span class="si">%s</span><span class="s1">&#39;</span> <span class="o">%</span> <span class="n">err</span>
 
     <span class="n">f</span><span class="o">.</span><span class="n">write</span><span class="p">(</span><span class="s1">&#39;</span><span class="se">\n</span><span class="s1">&#39;</span><span class="p">)</span>
     <span class="nb">print</span><span class="p">()</span>
@@ -198,9 +210,12 @@ <h3>Navigation</h3>
 <span class="k">def</span> <span class="nf">main</span><span class="p">():</span>
     <span class="n">run_variants</span><span class="p">(</span><span class="n">variant</span><span class="o">=</span><span class="s1">&#39;mass_inv&#39;</span><span class="p">,</span> <span class="n">ml</span><span class="o">=</span><span class="kc">False</span><span class="p">,</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">1</span><span class="p">)</span>
     <span class="n">run_variants</span><span class="p">(</span><span class="n">variant</span><span class="o">=</span><span class="s1">&#39;mass&#39;</span><span class="p">,</span> <span class="n">ml</span><span class="o">=</span><span class="kc">False</span><span class="p">,</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">1</span><span class="p">)</span>
+    <span class="n">run_variants</span><span class="p">(</span><span class="n">variant</span><span class="o">=</span><span class="s1">&#39;mass_timebc&#39;</span><span class="p">,</span> <span class="n">ml</span><span class="o">=</span><span class="kc">False</span><span class="p">,</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">1</span><span class="p">)</span>
     <span class="n">run_variants</span><span class="p">(</span><span class="n">variant</span><span class="o">=</span><span class="s1">&#39;mass_inv&#39;</span><span class="p">,</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span><span class="p">,</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">1</span><span class="p">)</span>
     <span class="n">run_variants</span><span class="p">(</span><span class="n">variant</span><span class="o">=</span><span class="s1">&#39;mass&#39;</span><span class="p">,</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span><span class="p">,</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">1</span><span class="p">)</span>
+    <span class="n">run_variants</span><span class="p">(</span><span class="n">variant</span><span class="o">=</span><span class="s1">&#39;mass_timebc&#39;</span><span class="p">,</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span><span class="p">,</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">1</span><span class="p">)</span>
     <span class="n">run_variants</span><span class="p">(</span><span class="n">variant</span><span class="o">=</span><span class="s1">&#39;mass_inv&#39;</span><span class="p">,</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span><span class="p">,</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">5</span><span class="p">)</span>
+
     <span class="c1"># WARNING: all other variants do NOT work, either because of FEniCS restrictions (weak forms with different meshes</span>
     <span class="c1"># will not work together) or because of inconsistent use of the mass matrix (locality condition for the tau</span>
     <span class="c1"># correction is not satisfied, mass matrix does not permute with restriction).</span>
@@ -217,35 +232,49 @@ <h3>Navigation</h3>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">0.00</span> <span class="o">--</span> <span class="mf">0.00</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.6056</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.6346</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Variant</span> <span class="n">mass</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">False</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">1</span> <span class="o">--</span> <span class="n">error</span> <span class="n">at</span> <span class="n">time</span> <span class="mf">1.0</span><span class="p">:</span> <span class="mf">1.1387594756569534e-08</span>
    <span class="n">Mean</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">6.00</span>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">0.00</span> <span class="o">--</span> <span class="mf">0.00</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.2105</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.2526</span> <span class="n">sec</span><span class="o">.</span>
+
+<span class="n">Variant</span> <span class="n">mass_timebc</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">False</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">1</span> <span class="o">--</span> <span class="n">error</span> <span class="n">at</span> <span class="n">time</span> <span class="mf">1.0</span><span class="p">:</span> <span class="mf">3.2473562155116167e-07</span>
+   <span class="n">Mean</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">6.00</span>
+   <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">3</span> 
+   <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">3</span> <span class="o">--</span>  <span class="mi">0</span>
+   <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">1.10</span> <span class="o">--</span> <span class="mf">1.20</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.2627</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Variant</span> <span class="n">mass_inv</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">1</span> <span class="o">--</span> <span class="n">error</span> <span class="n">at</span> <span class="n">time</span> <span class="mf">1.0</span><span class="p">:</span> <span class="mf">1.138768636885694e-08</span>
    <span class="n">Mean</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">6.00</span>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">0.00</span> <span class="o">--</span> <span class="mf">0.00</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">2.2310</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">2.3651</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Variant</span> <span class="n">mass</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">1</span> <span class="o">--</span> <span class="n">error</span> <span class="n">at</span> <span class="n">time</span> <span class="mf">1.0</span><span class="p">:</span> <span class="mf">1.1387216566052821e-08</span>
    <span class="n">Mean</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">6.00</span>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">0.00</span> <span class="o">--</span> <span class="mf">0.00</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.9167</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.9308</span> <span class="n">sec</span><span class="o">.</span>
+
+<span class="n">Variant</span> <span class="n">mass_timebc</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">1</span> <span class="o">--</span> <span class="n">error</span> <span class="n">at</span> <span class="n">time</span> <span class="mf">1.0</span><span class="p">:</span> <span class="mf">3.2473561574763597e-07</span>
+   <span class="n">Mean</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">6.00</span>
+   <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">3</span> 
+   <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">3</span> <span class="o">--</span>  <span class="mi">0</span>
+   <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">1.10</span> <span class="o">--</span> <span class="mf">1.20</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.9254</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Variant</span> <span class="n">mass_inv</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">5</span> <span class="o">--</span> <span class="n">error</span> <span class="n">at</span> <span class="n">time</span> <span class="mf">1.0</span><span class="p">:</span> <span class="mf">1.1150087179536389e-08</span>
    <span class="n">Mean</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">11.60</span>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">9</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">4</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">3.26</span> <span class="o">--</span> <span class="mf">10.64</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">3.6475</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">3.7815</span> <span class="n">sec</span><span class="o">.</span>
 
 </pre></div>
 </div>
diff --git a/tutorial/doc_step_7_B.html b/tutorial/doc_step_7_B.html
index 19572a532f..e2b44da0af 100644
--- a/tutorial/doc_step_7_B.html
+++ b/tutorial/doc_step_7_B.html
@@ -200,7 +200,7 @@ <h3>Navigation</h3>
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span> <span class="mi">19</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">2.10</span> <span class="o">--</span> <span class="mf">4.41</span>
 <span class="n">Error</span><span class="p">:</span> <span class="mf">1.1321e-05</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.4021</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.2798</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Running</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">False</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mf">1.</span><span class="o">..</span>
    <span class="n">Min</span><span class="o">/</span><span class="n">Mean</span><span class="o">/</span><span class="n">Max</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">8.00</span> <span class="o">/</span> <span class="mf">11.40</span> <span class="o">/</span> <span class="mf">15.00</span>
@@ -208,7 +208,7 @@ <h3>Navigation</h3>
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span> <span class="mi">19</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">2.03</span> <span class="o">--</span> <span class="mf">4.14</span>
 <span class="n">Error</span><span class="p">:</span> <span class="mf">4.1749e-06</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.1174</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.0035</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Running</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mf">1.</span><span class="o">..</span>
    <span class="n">Min</span><span class="o">/</span><span class="n">Mean</span><span class="o">/</span><span class="n">Max</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">5.00</span> <span class="o">/</span> <span class="mf">6.60</span> <span class="o">/</span> <span class="mf">8.00</span>
@@ -216,7 +216,7 @@ <h3>Navigation</h3>
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span> <span class="mi">16</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">1.07</span> <span class="o">--</span> <span class="mf">1.14</span>
 <span class="n">Error</span><span class="p">:</span> <span class="mf">1.1316e-05</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.3404</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.2396</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Running</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mf">1.</span><span class="o">..</span>
    <span class="n">Min</span><span class="o">/</span><span class="n">Mean</span><span class="o">/</span><span class="n">Max</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">4.00</span> <span class="o">/</span> <span class="mf">5.95</span> <span class="o">/</span> <span class="mf">8.00</span>
@@ -224,7 +224,7 @@ <h3>Navigation</h3>
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span> <span class="mi">19</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">1.02</span> <span class="o">--</span> <span class="mf">1.05</span>
 <span class="n">Error</span><span class="p">:</span> <span class="mf">4.1744e-06</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.2219</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.1345</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Running</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mf">10.</span><span class="o">..</span>
    <span class="n">Min</span><span class="o">/</span><span class="n">Mean</span><span class="o">/</span><span class="n">Max</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">7.00</span> <span class="o">/</span> <span class="mf">12.45</span> <span class="o">/</span> <span class="mf">18.00</span>
@@ -232,7 +232,7 @@ <h3>Navigation</h3>
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">9</span> <span class="o">--</span> <span class="mi">10</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">3.11</span> <span class="o">--</span> <span class="mf">9.65</span>
 <span class="n">Error</span><span class="p">:</span> <span class="mf">1.1306e-05</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">2.8502</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">2.5804</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Running</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mf">10.</span><span class="o">..</span>
    <span class="n">Min</span><span class="o">/</span><span class="n">Mean</span><span class="o">/</span><span class="n">Max</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">6.00</span> <span class="o">/</span> <span class="mf">11.50</span> <span class="o">/</span> <span class="mf">17.00</span>
@@ -240,7 +240,7 @@ <h3>Navigation</h3>
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">9</span> <span class="o">--</span> <span class="mi">10</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">3.04</span> <span class="o">--</span> <span class="mf">9.25</span>
 <span class="n">Error</span><span class="p">:</span> <span class="mf">4.1688e-06</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">2.6151</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">2.4088</span> <span class="n">sec</span><span class="o">.</span>
 
 </pre></div>
 </div>
diff --git a/tutorial/doc_step_7_C.html b/tutorial/doc_step_7_C.html
index ab950017f7..81e2fc3421 100644
--- a/tutorial/doc_step_7_C.html
+++ b/tutorial/doc_step_7_C.html
@@ -215,7 +215,7 @@ <h3>Navigation</h3>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">0.00</span> <span class="o">--</span> <span class="mf">0.00</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.9091</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.8957</span> <span class="n">sec</span><span class="o">.</span>
 <span class="n">Error</span> <span class="n">vs</span><span class="o">.</span> <span class="n">PDE</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.9479e-04</span>
 </pre></div>
 </div>
@@ -227,26 +227,26 @@ <h3>Navigation</h3>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">0.00</span> <span class="o">--</span> <span class="mf">0.00</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">0.8484</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">0.8445</span> <span class="n">sec</span><span class="o">.</span>
 <span class="n">Error</span> <span class="n">vs</span><span class="o">.</span> <span class="n">PDE</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.9479e-04</span>
 </pre></div>
 </div>
 <p>2 processor in time, 2 processors in space</p>
-<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">This</span> <span class="ow">is</span> <span class="n">time</span><span class="o">-</span><span class="n">rank</span> <span class="mf">1.</span><span class="o">..</span>
-<span class="n">Number</span> <span class="n">of</span> <span class="n">iterations</span> <span class="k">for</span> <span class="n">time</span> <span class="mf">0.12</span><span class="p">:</span> <span class="mi">12</span>
+<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">This</span> <span class="ow">is</span> <span class="n">time</span><span class="o">-</span><span class="n">rank</span> <span class="mf">0.</span><span class="o">..</span>
+<span class="n">Number</span> <span class="n">of</span> <span class="n">iterations</span> <span class="k">for</span> <span class="n">time</span> <span class="mf">0.00</span><span class="p">:</span> <span class="mi">12</span>
    <span class="n">Mean</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">12.00</span>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">0.00</span> <span class="o">--</span> <span class="mf">0.00</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">0.7590</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">0.7518</span> <span class="n">sec</span><span class="o">.</span>
 <span class="n">Error</span> <span class="n">vs</span><span class="o">.</span> <span class="n">PDE</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.9479e-04</span>
-<span class="n">This</span> <span class="ow">is</span> <span class="n">time</span><span class="o">-</span><span class="n">rank</span> <span class="mf">0.</span><span class="o">..</span>
-<span class="n">Number</span> <span class="n">of</span> <span class="n">iterations</span> <span class="k">for</span> <span class="n">time</span> <span class="mf">0.00</span><span class="p">:</span> <span class="mi">12</span>
+<span class="n">This</span> <span class="ow">is</span> <span class="n">time</span><span class="o">-</span><span class="n">rank</span> <span class="mf">1.</span><span class="o">..</span>
+<span class="n">Number</span> <span class="n">of</span> <span class="n">iterations</span> <span class="k">for</span> <span class="n">time</span> <span class="mf">0.12</span><span class="p">:</span> <span class="mi">12</span>
    <span class="n">Mean</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">12.00</span>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">0.00</span> <span class="o">--</span> <span class="mf">0.00</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">0.7595</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">0.7518</span> <span class="n">sec</span><span class="o">.</span>
 <span class="n">Error</span> <span class="n">vs</span><span class="o">.</span> <span class="n">PDE</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.9479e-04</span>
 </pre></div>
 </div>
diff --git a/tutorial/doc_step_8_C.html b/tutorial/doc_step_8_C.html
index 8591092f97..81d5306a62 100644
--- a/tutorial/doc_step_8_C.html
+++ b/tutorial/doc_step_8_C.html
@@ -355,7 +355,7 @@ <h3>Navigation</h3>
    Errors after step   0.8750 with 6 iterations: 3.6531e-08 / 3.6286e-13
    Errors after step   1.0000 with 6 iterations: 3.6478e-08 / 2.9104e-13
 
-...done, took 0.3318259110001236 seconds!
+...done, took 0.3294645529999798 seconds!
 -----------------------------------------------------------------------------
 Running diffusion in 1 dimensions with time-step size 0.125...
 
@@ -369,7 +369,7 @@ <h3>Navigation</h3>
    Errors after step   0.8750 with 3 iterations: 3.5501e-08 / 3.4489e-13
    Errors after step   1.0000 with 3 iterations: 3.6812e-08 / 2.7528e-13
 
-...done, took 0.762671052000087 seconds!
+...done, took 0.7603015120000691 seconds!
 -----------------------------------------------------------------------------
 Running advection in 1 dimensions with time-step size 0.125...
 
@@ -383,7 +383,7 @@ <h3>Navigation</h3>
    Errors after step   0.8750 with 4 iterations: 2.5517e-08 / 5.5511e-16
    Errors after step   1.0000 with 4 iterations: 2.9147e-08 / 4.4409e-16
 
-...done, took 0.19682397399992624 seconds!
+...done, took 0.19955014199990728 seconds!
 -----------------------------------------------------------------------------
 Running advection in 1 dimensions with time-step size 0.125...
 
@@ -397,7 +397,7 @@ <h3>Navigation</h3>
    Errors after step   0.8750 with 2 iterations: 2.5987e-08 / 3.1863e-13
    Errors after step   1.0000 with 2 iterations: 2.9666e-08 / 3.1797e-13
 
-...done, took 0.5938365720001002 seconds!
+...done, took 0.5996748780000871 seconds!
 -----------------------------------------------------------------------------
 Running auzinger in 1 dimensions with time-step size 0.125...
 
@@ -411,7 +411,7 @@ <h3>Navigation</h3>
    Errors after step   0.8750 with 6 iterations: 2.8266e-08 / 0.0000e+00
    Errors after step   1.0000 with 6 iterations: 2.8338e-08 / 0.0000e+00
 
-...done, took 0.13754768299986608 seconds!
+...done, took 0.13776527799996074 seconds!
 -----------------------------------------------------------------------------
 Running auzinger in 1 dimensions with time-step size 0.125...
 
@@ -425,7 +425,7 @@ <h3>Navigation</h3>
    Errors after step   0.8750 with 4 iterations: 3.1486e-08 / 0.0000e+00
    Errors after step   1.0000 with 4 iterations: 3.3802e-08 / 0.0000e+00
 
-...done, took 0.16602334000003793 seconds!
+...done, took 0.16648540400001366 seconds!
 -----------------------------------------------------------------------------
 </pre></div>
 </div>
diff --git a/tutorial/step_2.html b/tutorial/step_2.html
index cba15931e7..91adb77c26 100644
--- a/tutorial/step_2.html
+++ b/tutorial/step_2.html
@@ -417,7 +417,7 @@ <h2>Part C: Using pySDC’s frontend<a class="headerlink" href="#part-c-using-py
 </pre></div>
 </div>
 <p>Results:</p>
-<div class="highlight-default notranslate"><div class="highlight"><pre><span></span>2023-12-26 12:57:17,586 - controller - Controller - welcome_message - 146 - INFO: Welcome to the one and only, really very astonishing and 87.3% bug free
+<div class="highlight-default notranslate"><div class="highlight"><pre><span></span>2023-12-26 13:28:15,984 - controller - Controller - welcome_message - 146 - INFO: Welcome to the one and only, really very astonishing and 87.3% bug free
                                  _____ _____   _____ 
                                 / ____|  __ \ / ____|
                     _ __  _   _| (___ | |  | | |     
@@ -427,8 +427,8 @@ <h2>Part C: Using pySDC’s frontend<a class="headerlink" href="#part-c-using-py
                    | |     __/ |                     
                    |_|    |___/                      
                                                      
-2023-12-26 12:57:17,586 - controller - Controller - dump_setup - 160 - INFO: Setup overview (--&gt; user-defined, -&gt; dependency) -- BEGIN
-2023-12-26 12:57:17,586 - controller - Controller - dump_setup - 227 - INFO: ----------------------------------------------------------------------------------------------------
+2023-12-26 13:28:15,985 - controller - Controller - dump_setup - 160 - INFO: Setup overview (--&gt; user-defined, -&gt; dependency) -- BEGIN
+2023-12-26 13:28:15,985 - controller - Controller - dump_setup - 227 - INFO: ----------------------------------------------------------------------------------------------------
 
 Controller: &lt;class &#39;pySDC.implementations.controller_classes.controller_nonMPI.controller_nonMPI&#39;&gt;
     all_to_done = False
@@ -481,34 +481,34 @@ <h2>Part C: Using pySDC’s frontend<a class="headerlink" href="#part-c-using-py
  -&gt; |  1 |   100 | SpreadStepSizesBlockwiseNonMPI
     |  2 |   200 | CheckConvergence
 
-2023-12-26 12:57:17,586 - controller - Controller - dump_setup - 230 - INFO: ----------------------------------------------------------------------------------------------------
-2023-12-26 12:57:17,586 - controller - Controller - dump_setup - 232 - INFO: Setup overview (--&gt; user-defined, -&gt; dependency) -- END
-
-2023-12-26 12:57:17,590 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  1 -- Sweep:  1 -- residual: 4.11190756e-03
-2023-12-26 12:57:17,593 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  2 -- Sweep:  1 -- residual: 6.68442667e-04
-2023-12-26 12:57:17,596 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  3 -- Sweep:  1 -- residual: 8.80377591e-05
-2023-12-26 12:57:17,600 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  4 -- Sweep:  1 -- residual: 1.21707909e-05
-2023-12-26 12:57:17,603 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  5 -- Sweep:  1 -- residual: 1.38272147e-06
-2023-12-26 12:57:17,606 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  6 -- Sweep:  1 -- residual: 6.36445413e-07
-2023-12-26 12:57:17,609 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  7 -- Sweep:  1 -- residual: 1.68953216e-07
-2023-12-26 12:57:17,613 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  8 -- Sweep:  1 -- residual: 3.52601840e-08
-2023-12-26 12:57:17,616 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  9 -- Sweep:  1 -- residual: 6.07249025e-09
-2023-12-26 12:57:17,619 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration: 10 -- Sweep:  1 -- residual: 8.27343378e-10
-2023-12-26 12:57:17,622 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration: 11 -- Sweep:  1 -- residual: 1.18931339e-10
-2023-12-26 12:57:17,625 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration: 12 -- Sweep:  1 -- residual: 1.48499772e-11
-2023-12-26 12:57:17,629 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  1 -- Sweep:  1 -- residual: 6.69984764e-03
-2023-12-26 12:57:17,633 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  2 -- Sweep:  1 -- residual: 1.05518433e-03
-2023-12-26 12:57:17,636 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  3 -- Sweep:  1 -- residual: 1.40642621e-04
-2023-12-26 12:57:17,639 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  4 -- Sweep:  1 -- residual: 1.85982063e-05
-2023-12-26 12:57:17,642 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  5 -- Sweep:  1 -- residual: 2.79216702e-06
-2023-12-26 12:57:17,645 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  6 -- Sweep:  1 -- residual: 1.12278839e-06
-2023-12-26 12:57:17,649 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  7 -- Sweep:  1 -- residual: 2.85495353e-07
-2023-12-26 12:57:17,652 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  8 -- Sweep:  1 -- residual: 5.78947003e-08
-2023-12-26 12:57:17,655 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  9 -- Sweep:  1 -- residual: 9.68230621e-09
-2023-12-26 12:57:17,658 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration: 10 -- Sweep:  1 -- residual: 1.26313315e-09
-2023-12-26 12:57:17,662 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration: 11 -- Sweep:  1 -- residual: 1.82951499e-10
-2023-12-26 12:57:17,665 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration: 12 -- Sweep:  1 -- residual: 1.99691114e-11
-2023-12-26 12:57:17,665 - hooks - default_hook - post_run - 340 - INFO: Finished run after 0.08s
+2023-12-26 13:28:15,985 - controller - Controller - dump_setup - 230 - INFO: ----------------------------------------------------------------------------------------------------
+2023-12-26 13:28:15,985 - controller - Controller - dump_setup - 232 - INFO: Setup overview (--&gt; user-defined, -&gt; dependency) -- END
+
+2023-12-26 13:28:15,989 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  1 -- Sweep:  1 -- residual: 4.11190756e-03
+2023-12-26 13:28:15,992 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  2 -- Sweep:  1 -- residual: 6.68442667e-04
+2023-12-26 13:28:15,995 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  3 -- Sweep:  1 -- residual: 8.80377591e-05
+2023-12-26 13:28:15,998 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  4 -- Sweep:  1 -- residual: 1.21707909e-05
+2023-12-26 13:28:16,001 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  5 -- Sweep:  1 -- residual: 1.38272147e-06
+2023-12-26 13:28:16,005 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  6 -- Sweep:  1 -- residual: 6.36445413e-07
+2023-12-26 13:28:16,008 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  7 -- Sweep:  1 -- residual: 1.68953216e-07
+2023-12-26 13:28:16,011 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  8 -- Sweep:  1 -- residual: 3.52601840e-08
+2023-12-26 13:28:16,014 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  9 -- Sweep:  1 -- residual: 6.07249025e-09
+2023-12-26 13:28:16,018 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration: 10 -- Sweep:  1 -- residual: 8.27343378e-10
+2023-12-26 13:28:16,021 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration: 11 -- Sweep:  1 -- residual: 1.18931339e-10
+2023-12-26 13:28:16,024 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration: 12 -- Sweep:  1 -- residual: 1.48499772e-11
+2023-12-26 13:28:16,028 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  1 -- Sweep:  1 -- residual: 6.69984764e-03
+2023-12-26 13:28:16,031 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  2 -- Sweep:  1 -- residual: 1.05518433e-03
+2023-12-26 13:28:16,035 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  3 -- Sweep:  1 -- residual: 1.40642621e-04
+2023-12-26 13:28:16,038 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  4 -- Sweep:  1 -- residual: 1.85982063e-05
+2023-12-26 13:28:16,041 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  5 -- Sweep:  1 -- residual: 2.79216702e-06
+2023-12-26 13:28:16,044 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  6 -- Sweep:  1 -- residual: 1.12278839e-06
+2023-12-26 13:28:16,047 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  7 -- Sweep:  1 -- residual: 2.85495353e-07
+2023-12-26 13:28:16,051 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  8 -- Sweep:  1 -- residual: 5.78947003e-08
+2023-12-26 13:28:16,054 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  9 -- Sweep:  1 -- residual: 9.68230621e-09
+2023-12-26 13:28:16,057 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration: 10 -- Sweep:  1 -- residual: 1.26313315e-09
+2023-12-26 13:28:16,060 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration: 11 -- Sweep:  1 -- residual: 1.82951499e-10
+2023-12-26 13:28:16,063 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration: 12 -- Sweep:  1 -- residual: 1.99691114e-11
+2023-12-26 13:28:16,064 - hooks - default_hook - post_run - 340 - INFO: Finished run after 0.08s
 Error after SDC iterations: 1.166689e-05
 </pre></div>
 </div>
diff --git a/tutorial/step_3.html b/tutorial/step_3.html
index 6d968a7fd3..54e461bdf5 100644
--- a/tutorial/step_3.html
+++ b/tutorial/step_3.html
@@ -344,7 +344,7 @@ <h2>Part B: Adding statistics<a class="headerlink" href="#part-b-adding-statisti
 </pre></div>
 </div>
 <p>Results:</p>
-<div class="highlight-default notranslate"><div class="highlight"><pre><span></span>2023-12-26 12:57:17,985 - controller - Controller - welcome_message - 146 - INFO: Welcome to the one and only, really very astonishing and 87.3% bug free
+<div class="highlight-default notranslate"><div class="highlight"><pre><span></span>2023-12-26 13:28:16,384 - controller - Controller - welcome_message - 146 - INFO: Welcome to the one and only, really very astonishing and 87.3% bug free
                                  _____ _____   _____ 
                                 / ____|  __ \ / ____|
                     _ __  _   _| (___ | |  | | |     
@@ -354,8 +354,8 @@ <h2>Part B: Adding statistics<a class="headerlink" href="#part-b-adding-statisti
                    | |     __/ |                     
                    |_|    |___/                      
                                                      
-2023-12-26 12:57:17,985 - controller - Controller - dump_setup - 160 - INFO: Setup overview (--&gt; user-defined, -&gt; dependency) -- BEGIN
-2023-12-26 12:57:17,985 - controller - Controller - dump_setup - 227 - INFO: ----------------------------------------------------------------------------------------------------
+2023-12-26 13:28:16,384 - controller - Controller - dump_setup - 160 - INFO: Setup overview (--&gt; user-defined, -&gt; dependency) -- BEGIN
+2023-12-26 13:28:16,384 - controller - Controller - dump_setup - 227 - INFO: ----------------------------------------------------------------------------------------------------
 
 Controller: &lt;class &#39;pySDC.implementations.controller_classes.controller_nonMPI.controller_nonMPI&#39;&gt;
     all_to_done = False
@@ -403,21 +403,21 @@ <h2>Part B: Adding statistics<a class="headerlink" href="#part-b-adding-statisti
  -&gt; |  1 |   100 | SpreadStepSizesBlockwiseNonMPI
     |  2 |   200 | CheckConvergence
 
-2023-12-26 12:57:17,985 - controller - Controller - dump_setup - 230 - INFO: ----------------------------------------------------------------------------------------------------
-2023-12-26 12:57:17,985 - controller - Controller - dump_setup - 232 - INFO: Setup overview (--&gt; user-defined, -&gt; dependency) -- END
-
-2023-12-26 12:57:17,991 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  1 -- Sweep:  1 -- residual: 3.53203678e+00
-2023-12-26 12:57:17,997 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  2 -- Sweep:  1 -- residual: 2.09852117e-01
-2023-12-26 12:57:18,002 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  3 -- Sweep:  1 -- residual: 3.50301513e-02
-2023-12-26 12:57:18,008 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  4 -- Sweep:  1 -- residual: 4.67724741e-03
-2023-12-26 12:57:18,013 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  5 -- Sweep:  1 -- residual: 7.95583202e-04
-2023-12-26 12:57:18,019 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  6 -- Sweep:  1 -- residual: 1.11405073e-04
-2023-12-26 12:57:18,024 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  7 -- Sweep:  1 -- residual: 1.26902403e-05
-2023-12-26 12:57:18,030 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  8 -- Sweep:  1 -- residual: 1.16534547e-06
-2023-12-26 12:57:18,035 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  9 -- Sweep:  1 -- residual: 1.66968022e-07
-2023-12-26 12:57:18,041 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration: 10 -- Sweep:  1 -- residual: 2.09408171e-08
-2023-12-26 12:57:18,046 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration: 11 -- Sweep:  1 -- residual: 2.17123386e-09
-2023-12-26 12:57:18,048 - hooks - default_hook - post_run - 340 - INFO: Finished run after 0.06s
+2023-12-26 13:28:16,384 - controller - Controller - dump_setup - 230 - INFO: ----------------------------------------------------------------------------------------------------
+2023-12-26 13:28:16,384 - controller - Controller - dump_setup - 232 - INFO: Setup overview (--&gt; user-defined, -&gt; dependency) -- END
+
+2023-12-26 13:28:16,390 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  1 -- Sweep:  1 -- residual: 3.53203678e+00
+2023-12-26 13:28:16,396 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  2 -- Sweep:  1 -- residual: 2.09852117e-01
+2023-12-26 13:28:16,401 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  3 -- Sweep:  1 -- residual: 3.50301513e-02
+2023-12-26 13:28:16,407 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  4 -- Sweep:  1 -- residual: 4.67724741e-03
+2023-12-26 13:28:16,412 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  5 -- Sweep:  1 -- residual: 7.95583202e-04
+2023-12-26 13:28:16,418 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  6 -- Sweep:  1 -- residual: 1.11405073e-04
+2023-12-26 13:28:16,423 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  7 -- Sweep:  1 -- residual: 1.26902403e-05
+2023-12-26 13:28:16,429 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  8 -- Sweep:  1 -- residual: 1.16534547e-06
+2023-12-26 13:28:16,434 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  9 -- Sweep:  1 -- residual: 1.66968022e-07
+2023-12-26 13:28:16,440 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration: 10 -- Sweep:  1 -- residual: 2.09408171e-08
+2023-12-26 13:28:16,445 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration: 11 -- Sweep:  1 -- residual: 2.17123386e-09
+2023-12-26 13:28:16,448 - hooks - default_hook - post_run - 340 - INFO: Finished run after 0.06s
 Total energy and deviation in iteration  0: 8799.5000000000 -- 0.00000000e+00
 Total energy and deviation in iteration 11: 8785.0038936088 -- 1.44961064e+01
 </pre></div>
diff --git a/tutorial/step_4.html b/tutorial/step_4.html
index 860db5fa26..4145631e4c 100644
--- a/tutorial/step_4.html
+++ b/tutorial/step_4.html
@@ -619,7 +619,7 @@ <h2>Part D: MLSDC with particles<a class="headerlink" href="#part-d-mlsdc-with-p
 </pre></div>
 </div>
 <p>Results:</p>
-<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">Timings</span> <span class="k">for</span> <span class="n">SDC</span><span class="p">,</span> <span class="n">MLSDC</span> <span class="ow">and</span> <span class="n">MLSDC</span><span class="o">+</span><span class="n">finter</span><span class="p">:</span>   <span class="mf">3.74905891</span> <span class="o">--</span>   <span class="mf">4.21642664</span> <span class="o">--</span>   <span class="mf">4.89856130</span>
+<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">Timings</span> <span class="k">for</span> <span class="n">SDC</span><span class="p">,</span> <span class="n">MLSDC</span> <span class="ow">and</span> <span class="n">MLSDC</span><span class="o">+</span><span class="n">finter</span><span class="p">:</span>   <span class="mf">3.82246466</span> <span class="o">--</span>   <span class="mf">4.30003812</span> <span class="o">--</span>   <span class="mf">4.94025741</span>
 <span class="n">Total</span> <span class="n">energy</span> <span class="ow">and</span> <span class="n">relative</span> <span class="n">deviation</span> <span class="ow">in</span> <span class="n">iteration</span>  <span class="mi">0</span><span class="p">:</span> <span class="mf">407936.7556966486</span> <span class="o">--</span> <span class="mf">0.00000000e+00</span>
 <span class="n">Total</span> <span class="n">energy</span> <span class="ow">and</span> <span class="n">relative</span> <span class="n">deviation</span> <span class="ow">in</span> <span class="n">iteration</span> <span class="mi">12</span><span class="p">:</span> <span class="mf">406977.9425667246</span> <span class="o">--</span> <span class="mf">2.35039652e-03</span>
 <span class="n">Total</span> <span class="n">energy</span> <span class="ow">and</span> <span class="n">relative</span> <span class="n">deviation</span> <span class="ow">in</span> <span class="n">iteration</span>  <span class="mi">0</span><span class="p">:</span> <span class="mf">407936.7556966486</span> <span class="o">--</span> <span class="mf">0.00000000e+00</span>
diff --git a/tutorial/step_7.html b/tutorial/step_7.html
index fca0a9ec00..e94add391b 100644
--- a/tutorial/step_7.html
+++ b/tutorial/step_7.html
@@ -67,7 +67,11 @@ <h2>Part A: pySDC and FEniCS<a class="headerlink" href="#part-a-pysdc-and-fenics
 <span class="kn">from</span> <span class="nn">pySDC.helpers.stats_helper</span> <span class="kn">import</span> <span class="n">get_sorted</span>
 
 <span class="kn">from</span> <span class="nn">pySDC.implementations.controller_classes.controller_nonMPI</span> <span class="kn">import</span> <span class="n">controller_nonMPI</span>
-<span class="kn">from</span> <span class="nn">pySDC.implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced</span> <span class="kn">import</span> <span class="n">fenics_heat_mass</span><span class="p">,</span> <span class="n">fenics_heat</span>
+<span class="kn">from</span> <span class="nn">pySDC.implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced</span> <span class="kn">import</span> <span class="p">(</span>
+    <span class="n">fenics_heat_mass</span><span class="p">,</span>
+    <span class="n">fenics_heat</span><span class="p">,</span>
+    <span class="n">fenics_heat_mass_timebc</span><span class="p">,</span>
+<span class="p">)</span>
 <span class="kn">from</span> <span class="nn">pySDC.implementations.sweeper_classes.imex_1st_order_mass</span> <span class="kn">import</span> <span class="n">imex_1st_order_mass</span><span class="p">,</span> <span class="n">imex_1st_order</span>
 <span class="kn">from</span> <span class="nn">pySDC.implementations.transfer_classes.TransferFenicsMesh</span> <span class="kn">import</span> <span class="n">mesh_to_mesh_fenics</span>
 
@@ -161,6 +165,11 @@ <h2>Part A: pySDC and FEniCS<a class="headerlink" href="#part-a-pysdc-and-fenics
     <span class="k">elif</span> <span class="n">variant</span> <span class="o">==</span> <span class="s1">&#39;mass_inv&#39;</span><span class="p">:</span>
         <span class="n">description</span><span class="p">[</span><span class="s1">&#39;problem_class&#39;</span><span class="p">]</span> <span class="o">=</span> <span class="n">fenics_heat</span>
         <span class="n">description</span><span class="p">[</span><span class="s1">&#39;sweeper_class&#39;</span><span class="p">]</span> <span class="o">=</span> <span class="n">imex_1st_order</span>
+    <span class="k">elif</span> <span class="n">variant</span> <span class="o">==</span> <span class="s1">&#39;mass_timebc&#39;</span><span class="p">:</span>
+        <span class="c1"># Can increase the tolerance here, errors are higher anyway</span>
+        <span class="n">description</span><span class="p">[</span><span class="s1">&#39;level_params&#39;</span><span class="p">][</span><span class="s1">&#39;restol&#39;</span><span class="p">]</span> <span class="o">*=</span> <span class="mi">20</span>
+        <span class="n">description</span><span class="p">[</span><span class="s1">&#39;problem_class&#39;</span><span class="p">]</span> <span class="o">=</span> <span class="n">fenics_heat_mass_timebc</span>
+        <span class="n">description</span><span class="p">[</span><span class="s1">&#39;sweeper_class&#39;</span><span class="p">]</span> <span class="o">=</span> <span class="n">imex_1st_order_mass</span>
     <span class="k">else</span><span class="p">:</span>
         <span class="k">raise</span> <span class="ne">NotImplementedError</span><span class="p">(</span><span class="s1">&#39;Variant </span><span class="si">%s</span><span class="s1"> is not implemented&#39;</span> <span class="o">%</span> <span class="n">variant</span><span class="p">)</span>
 
@@ -209,10 +218,13 @@ <h2>Part A: pySDC and FEniCS<a class="headerlink" href="#part-a-pysdc-and-fenics
 
     <span class="k">if</span> <span class="n">num_procs</span> <span class="o">==</span> <span class="mi">1</span><span class="p">:</span>
         <span class="k">assert</span> <span class="n">np</span><span class="o">.</span><span class="n">mean</span><span class="p">(</span><span class="n">niters</span><span class="p">)</span> <span class="o">&lt;=</span> <span class="mf">6.0</span><span class="p">,</span> <span class="s1">&#39;Mean number of iterations is too high, got </span><span class="si">%s</span><span class="s1">&#39;</span> <span class="o">%</span> <span class="n">np</span><span class="o">.</span><span class="n">mean</span><span class="p">(</span><span class="n">niters</span><span class="p">)</span>
-        <span class="k">assert</span> <span class="n">err</span> <span class="o">&lt;=</span> <span class="mf">4.1e-08</span><span class="p">,</span> <span class="s1">&#39;Error is too high, got </span><span class="si">%s</span><span class="s1">&#39;</span> <span class="o">%</span> <span class="n">err</span>
+        <span class="k">if</span> <span class="n">variant</span> <span class="o">==</span> <span class="s1">&#39;mass&#39;</span> <span class="ow">or</span> <span class="n">variant</span> <span class="o">==</span> <span class="s1">&#39;mass_inv&#39;</span><span class="p">:</span>
+            <span class="k">assert</span> <span class="n">err</span> <span class="o">&lt;=</span> <span class="mf">1.14e-08</span><span class="p">,</span> <span class="s1">&#39;Error is too high, got </span><span class="si">%s</span><span class="s1">&#39;</span> <span class="o">%</span> <span class="n">err</span>
+        <span class="k">else</span><span class="p">:</span>
+            <span class="k">assert</span> <span class="n">err</span> <span class="o">&lt;=</span> <span class="mf">3.25e-07</span><span class="p">,</span> <span class="s1">&#39;Error is too high, got </span><span class="si">%s</span><span class="s1">&#39;</span> <span class="o">%</span> <span class="n">err</span>
     <span class="k">else</span><span class="p">:</span>
         <span class="k">assert</span> <span class="n">np</span><span class="o">.</span><span class="n">mean</span><span class="p">(</span><span class="n">niters</span><span class="p">)</span> <span class="o">&lt;=</span> <span class="mf">11.6</span><span class="p">,</span> <span class="s1">&#39;Mean number of iterations is too high, got </span><span class="si">%s</span><span class="s1">&#39;</span> <span class="o">%</span> <span class="n">np</span><span class="o">.</span><span class="n">mean</span><span class="p">(</span><span class="n">niters</span><span class="p">)</span>
-        <span class="k">assert</span> <span class="n">err</span> <span class="o">&lt;=</span> <span class="mf">4.0e-08</span><span class="p">,</span> <span class="s1">&#39;Error is too high, got </span><span class="si">%s</span><span class="s1">&#39;</span> <span class="o">%</span> <span class="n">err</span>
+        <span class="k">assert</span> <span class="n">err</span> <span class="o">&lt;=</span> <span class="mf">1.14e-08</span><span class="p">,</span> <span class="s1">&#39;Error is too high, got </span><span class="si">%s</span><span class="s1">&#39;</span> <span class="o">%</span> <span class="n">err</span>
 
     <span class="n">f</span><span class="o">.</span><span class="n">write</span><span class="p">(</span><span class="s1">&#39;</span><span class="se">\n</span><span class="s1">&#39;</span><span class="p">)</span>
     <span class="nb">print</span><span class="p">()</span>
@@ -222,9 +234,12 @@ <h2>Part A: pySDC and FEniCS<a class="headerlink" href="#part-a-pysdc-and-fenics
 <span class="k">def</span> <span class="nf">main</span><span class="p">():</span>
     <span class="n">run_variants</span><span class="p">(</span><span class="n">variant</span><span class="o">=</span><span class="s1">&#39;mass_inv&#39;</span><span class="p">,</span> <span class="n">ml</span><span class="o">=</span><span class="kc">False</span><span class="p">,</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">1</span><span class="p">)</span>
     <span class="n">run_variants</span><span class="p">(</span><span class="n">variant</span><span class="o">=</span><span class="s1">&#39;mass&#39;</span><span class="p">,</span> <span class="n">ml</span><span class="o">=</span><span class="kc">False</span><span class="p">,</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">1</span><span class="p">)</span>
+    <span class="n">run_variants</span><span class="p">(</span><span class="n">variant</span><span class="o">=</span><span class="s1">&#39;mass_timebc&#39;</span><span class="p">,</span> <span class="n">ml</span><span class="o">=</span><span class="kc">False</span><span class="p">,</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">1</span><span class="p">)</span>
     <span class="n">run_variants</span><span class="p">(</span><span class="n">variant</span><span class="o">=</span><span class="s1">&#39;mass_inv&#39;</span><span class="p">,</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span><span class="p">,</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">1</span><span class="p">)</span>
     <span class="n">run_variants</span><span class="p">(</span><span class="n">variant</span><span class="o">=</span><span class="s1">&#39;mass&#39;</span><span class="p">,</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span><span class="p">,</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">1</span><span class="p">)</span>
+    <span class="n">run_variants</span><span class="p">(</span><span class="n">variant</span><span class="o">=</span><span class="s1">&#39;mass_timebc&#39;</span><span class="p">,</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span><span class="p">,</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">1</span><span class="p">)</span>
     <span class="n">run_variants</span><span class="p">(</span><span class="n">variant</span><span class="o">=</span><span class="s1">&#39;mass_inv&#39;</span><span class="p">,</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span><span class="p">,</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">5</span><span class="p">)</span>
+
     <span class="c1"># WARNING: all other variants do NOT work, either because of FEniCS restrictions (weak forms with different meshes</span>
     <span class="c1"># will not work together) or because of inconsistent use of the mass matrix (locality condition for the tau</span>
     <span class="c1"># correction is not satisfied, mass matrix does not permute with restriction).</span>
@@ -241,35 +256,49 @@ <h2>Part A: pySDC and FEniCS<a class="headerlink" href="#part-a-pysdc-and-fenics
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">0.00</span> <span class="o">--</span> <span class="mf">0.00</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.6056</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.6346</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Variant</span> <span class="n">mass</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">False</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">1</span> <span class="o">--</span> <span class="n">error</span> <span class="n">at</span> <span class="n">time</span> <span class="mf">1.0</span><span class="p">:</span> <span class="mf">1.1387594756569534e-08</span>
    <span class="n">Mean</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">6.00</span>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">0.00</span> <span class="o">--</span> <span class="mf">0.00</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.2105</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.2526</span> <span class="n">sec</span><span class="o">.</span>
+
+<span class="n">Variant</span> <span class="n">mass_timebc</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">False</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">1</span> <span class="o">--</span> <span class="n">error</span> <span class="n">at</span> <span class="n">time</span> <span class="mf">1.0</span><span class="p">:</span> <span class="mf">3.2473562155116167e-07</span>
+   <span class="n">Mean</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">6.00</span>
+   <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">3</span> 
+   <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">3</span> <span class="o">--</span>  <span class="mi">0</span>
+   <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">1.10</span> <span class="o">--</span> <span class="mf">1.20</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.2627</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Variant</span> <span class="n">mass_inv</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">1</span> <span class="o">--</span> <span class="n">error</span> <span class="n">at</span> <span class="n">time</span> <span class="mf">1.0</span><span class="p">:</span> <span class="mf">1.138768636885694e-08</span>
    <span class="n">Mean</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">6.00</span>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">0.00</span> <span class="o">--</span> <span class="mf">0.00</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">2.2310</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">2.3651</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Variant</span> <span class="n">mass</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">1</span> <span class="o">--</span> <span class="n">error</span> <span class="n">at</span> <span class="n">time</span> <span class="mf">1.0</span><span class="p">:</span> <span class="mf">1.1387216566052821e-08</span>
    <span class="n">Mean</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">6.00</span>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">0.00</span> <span class="o">--</span> <span class="mf">0.00</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.9167</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.9308</span> <span class="n">sec</span><span class="o">.</span>
+
+<span class="n">Variant</span> <span class="n">mass_timebc</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">1</span> <span class="o">--</span> <span class="n">error</span> <span class="n">at</span> <span class="n">time</span> <span class="mf">1.0</span><span class="p">:</span> <span class="mf">3.2473561574763597e-07</span>
+   <span class="n">Mean</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">6.00</span>
+   <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">3</span> 
+   <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">3</span> <span class="o">--</span>  <span class="mi">0</span>
+   <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">1.10</span> <span class="o">--</span> <span class="mf">1.20</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.9254</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Variant</span> <span class="n">mass_inv</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">5</span> <span class="o">--</span> <span class="n">error</span> <span class="n">at</span> <span class="n">time</span> <span class="mf">1.0</span><span class="p">:</span> <span class="mf">1.1150087179536389e-08</span>
    <span class="n">Mean</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">11.60</span>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">9</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">4</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">3.26</span> <span class="o">--</span> <span class="mf">10.64</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">3.6475</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">3.7815</span> <span class="n">sec</span><span class="o">.</span>
 
 </pre></div>
 </div>
@@ -450,7 +479,7 @@ <h2>Part B: mpi4py-fft for parallel Fourier transforms<a class="headerlink" href
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span> <span class="mi">19</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">2.10</span> <span class="o">--</span> <span class="mf">4.41</span>
 <span class="n">Error</span><span class="p">:</span> <span class="mf">1.1321e-05</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.4021</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.2798</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Running</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">False</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mf">1.</span><span class="o">..</span>
    <span class="n">Min</span><span class="o">/</span><span class="n">Mean</span><span class="o">/</span><span class="n">Max</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">8.00</span> <span class="o">/</span> <span class="mf">11.40</span> <span class="o">/</span> <span class="mf">15.00</span>
@@ -458,7 +487,7 @@ <h2>Part B: mpi4py-fft for parallel Fourier transforms<a class="headerlink" href
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span> <span class="mi">19</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">2.03</span> <span class="o">--</span> <span class="mf">4.14</span>
 <span class="n">Error</span><span class="p">:</span> <span class="mf">4.1749e-06</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.1174</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.0035</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Running</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mf">1.</span><span class="o">..</span>
    <span class="n">Min</span><span class="o">/</span><span class="n">Mean</span><span class="o">/</span><span class="n">Max</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">5.00</span> <span class="o">/</span> <span class="mf">6.60</span> <span class="o">/</span> <span class="mf">8.00</span>
@@ -466,7 +495,7 @@ <h2>Part B: mpi4py-fft for parallel Fourier transforms<a class="headerlink" href
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span> <span class="mi">16</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">1.07</span> <span class="o">--</span> <span class="mf">1.14</span>
 <span class="n">Error</span><span class="p">:</span> <span class="mf">1.1316e-05</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.3404</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.2396</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Running</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mf">1.</span><span class="o">..</span>
    <span class="n">Min</span><span class="o">/</span><span class="n">Mean</span><span class="o">/</span><span class="n">Max</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">4.00</span> <span class="o">/</span> <span class="mf">5.95</span> <span class="o">/</span> <span class="mf">8.00</span>
@@ -474,7 +503,7 @@ <h2>Part B: mpi4py-fft for parallel Fourier transforms<a class="headerlink" href
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span> <span class="mi">19</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">1.02</span> <span class="o">--</span> <span class="mf">1.05</span>
 <span class="n">Error</span><span class="p">:</span> <span class="mf">4.1744e-06</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.2219</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.1345</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Running</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mf">10.</span><span class="o">..</span>
    <span class="n">Min</span><span class="o">/</span><span class="n">Mean</span><span class="o">/</span><span class="n">Max</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">7.00</span> <span class="o">/</span> <span class="mf">12.45</span> <span class="o">/</span> <span class="mf">18.00</span>
@@ -482,7 +511,7 @@ <h2>Part B: mpi4py-fft for parallel Fourier transforms<a class="headerlink" href
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">9</span> <span class="o">--</span> <span class="mi">10</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">3.11</span> <span class="o">--</span> <span class="mf">9.65</span>
 <span class="n">Error</span><span class="p">:</span> <span class="mf">1.1306e-05</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">2.8502</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">2.5804</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Running</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mf">10.</span><span class="o">..</span>
    <span class="n">Min</span><span class="o">/</span><span class="n">Mean</span><span class="o">/</span><span class="n">Max</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">6.00</span> <span class="o">/</span> <span class="mf">11.50</span> <span class="o">/</span> <span class="mf">17.00</span>
@@ -490,7 +519,7 @@ <h2>Part B: mpi4py-fft for parallel Fourier transforms<a class="headerlink" href
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">9</span> <span class="o">--</span> <span class="mi">10</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">3.04</span> <span class="o">--</span> <span class="mf">9.25</span>
 <span class="n">Error</span><span class="p">:</span> <span class="mf">4.1688e-06</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">2.6151</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">2.4088</span> <span class="n">sec</span><span class="o">.</span>
 
 </pre></div>
 </div>
@@ -685,7 +714,7 @@ <h2>Part C: Time-parallel pySDC with space-parallel PETSc<a class="headerlink" h
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">0.00</span> <span class="o">--</span> <span class="mf">0.00</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.9091</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.8957</span> <span class="n">sec</span><span class="o">.</span>
 <span class="n">Error</span> <span class="n">vs</span><span class="o">.</span> <span class="n">PDE</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.9479e-04</span>
 </pre></div>
 </div>
@@ -697,26 +726,26 @@ <h2>Part C: Time-parallel pySDC with space-parallel PETSc<a class="headerlink" h
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">0.00</span> <span class="o">--</span> <span class="mf">0.00</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">0.8484</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">0.8445</span> <span class="n">sec</span><span class="o">.</span>
 <span class="n">Error</span> <span class="n">vs</span><span class="o">.</span> <span class="n">PDE</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.9479e-04</span>
 </pre></div>
 </div>
 <p>2 processor in time, 2 processors in space</p>
-<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">This</span> <span class="ow">is</span> <span class="n">time</span><span class="o">-</span><span class="n">rank</span> <span class="mf">1.</span><span class="o">..</span>
-<span class="n">Number</span> <span class="n">of</span> <span class="n">iterations</span> <span class="k">for</span> <span class="n">time</span> <span class="mf">0.12</span><span class="p">:</span> <span class="mi">12</span>
+<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">This</span> <span class="ow">is</span> <span class="n">time</span><span class="o">-</span><span class="n">rank</span> <span class="mf">0.</span><span class="o">..</span>
+<span class="n">Number</span> <span class="n">of</span> <span class="n">iterations</span> <span class="k">for</span> <span class="n">time</span> <span class="mf">0.00</span><span class="p">:</span> <span class="mi">12</span>
    <span class="n">Mean</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">12.00</span>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">0.00</span> <span class="o">--</span> <span class="mf">0.00</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">0.7590</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">0.7518</span> <span class="n">sec</span><span class="o">.</span>
 <span class="n">Error</span> <span class="n">vs</span><span class="o">.</span> <span class="n">PDE</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.9479e-04</span>
-<span class="n">This</span> <span class="ow">is</span> <span class="n">time</span><span class="o">-</span><span class="n">rank</span> <span class="mf">0.</span><span class="o">..</span>
-<span class="n">Number</span> <span class="n">of</span> <span class="n">iterations</span> <span class="k">for</span> <span class="n">time</span> <span class="mf">0.00</span><span class="p">:</span> <span class="mi">12</span>
+<span class="n">This</span> <span class="ow">is</span> <span class="n">time</span><span class="o">-</span><span class="n">rank</span> <span class="mf">1.</span><span class="o">..</span>
+<span class="n">Number</span> <span class="n">of</span> <span class="n">iterations</span> <span class="k">for</span> <span class="n">time</span> <span class="mf">0.12</span><span class="p">:</span> <span class="mi">12</span>
    <span class="n">Mean</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">12.00</span>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">0.00</span> <span class="o">--</span> <span class="mf">0.00</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">0.7595</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">0.7518</span> <span class="n">sec</span><span class="o">.</span>
 <span class="n">Error</span> <span class="n">vs</span><span class="o">.</span> <span class="n">PDE</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.9479e-04</span>
 </pre></div>
 </div>
diff --git a/tutorial/step_8.html b/tutorial/step_8.html
index bd5ca61de2..4fd67a0f01 100644
--- a/tutorial/step_8.html
+++ b/tutorial/step_8.html
@@ -675,7 +675,7 @@ <h2>Part C: Iteration estimator<a class="headerlink" href="#part-c-iteration-est
    Errors after step   0.8750 with 6 iterations: 3.6531e-08 / 3.6286e-13
    Errors after step   1.0000 with 6 iterations: 3.6478e-08 / 2.9104e-13
 
-...done, took 0.3318259110001236 seconds!
+...done, took 0.3294645529999798 seconds!
 -----------------------------------------------------------------------------
 Running diffusion in 1 dimensions with time-step size 0.125...
 
@@ -689,7 +689,7 @@ <h2>Part C: Iteration estimator<a class="headerlink" href="#part-c-iteration-est
    Errors after step   0.8750 with 3 iterations: 3.5501e-08 / 3.4489e-13
    Errors after step   1.0000 with 3 iterations: 3.6812e-08 / 2.7528e-13
 
-...done, took 0.762671052000087 seconds!
+...done, took 0.7603015120000691 seconds!
 -----------------------------------------------------------------------------
 Running advection in 1 dimensions with time-step size 0.125...
 
@@ -703,7 +703,7 @@ <h2>Part C: Iteration estimator<a class="headerlink" href="#part-c-iteration-est
    Errors after step   0.8750 with 4 iterations: 2.5517e-08 / 5.5511e-16
    Errors after step   1.0000 with 4 iterations: 2.9147e-08 / 4.4409e-16
 
-...done, took 0.19682397399992624 seconds!
+...done, took 0.19955014199990728 seconds!
 -----------------------------------------------------------------------------
 Running advection in 1 dimensions with time-step size 0.125...
 
@@ -717,7 +717,7 @@ <h2>Part C: Iteration estimator<a class="headerlink" href="#part-c-iteration-est
    Errors after step   0.8750 with 2 iterations: 2.5987e-08 / 3.1863e-13
    Errors after step   1.0000 with 2 iterations: 2.9666e-08 / 3.1797e-13
 
-...done, took 0.5938365720001002 seconds!
+...done, took 0.5996748780000871 seconds!
 -----------------------------------------------------------------------------
 Running auzinger in 1 dimensions with time-step size 0.125...
 
@@ -731,7 +731,7 @@ <h2>Part C: Iteration estimator<a class="headerlink" href="#part-c-iteration-est
    Errors after step   0.8750 with 6 iterations: 2.8266e-08 / 0.0000e+00
    Errors after step   1.0000 with 6 iterations: 2.8338e-08 / 0.0000e+00
 
-...done, took 0.13754768299986608 seconds!
+...done, took 0.13776527799996074 seconds!
 -----------------------------------------------------------------------------
 Running auzinger in 1 dimensions with time-step size 0.125...
 
@@ -745,7 +745,7 @@ <h2>Part C: Iteration estimator<a class="headerlink" href="#part-c-iteration-est
    Errors after step   0.8750 with 4 iterations: 3.1486e-08 / 0.0000e+00
    Errors after step   1.0000 with 4 iterations: 3.3802e-08 / 0.0000e+00
 
-...done, took 0.16602334000003793 seconds!
+...done, took 0.16648540400001366 seconds!
 -----------------------------------------------------------------------------
 </pre></div>
 </div>