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Expand Up @@ -40,7 +40,7 @@ <h1>Source code for implementations.problem_classes.AdvectionDiffusionEquation_1
<span></span><span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>

<span class="kn">from</span> <span class="nn">pySDC.core.Errors</span> <span class="kn">import</span> <span class="n">ParameterError</span><span class="p">,</span> <span class="n">ProblemError</span>
<span class="kn">from</span> <span class="nn">pySDC.core.Problem</span> <span class="kn">import</span> <span class="n">ptype</span>
<span class="kn">from</span> <span class="nn">pySDC.core.Problem</span> <span class="kn">import</span> <span class="n">ptype</span><span class="p">,</span> <span class="n">WorkCounter</span>
<span class="kn">from</span> <span class="nn">pySDC.implementations.datatype_classes.mesh</span> <span class="kn">import</span> <span class="n">mesh</span><span class="p">,</span> <span class="n">imex_mesh</span>


Expand Down Expand Up @@ -111,6 +111,8 @@ <h1>Source code for implementations.problem_classes.AdvectionDiffusionEquation_1
<span class="bp">self</span><span class="o">.</span><span class="n">ddx</span> <span class="o">=</span> <span class="n">kx</span> <span class="o">*</span> <span class="mi">1</span><span class="n">j</span>
<span class="bp">self</span><span class="o">.</span><span class="n">lap</span> <span class="o">=</span> <span class="o">-</span><span class="p">(</span><span class="n">kx</span><span class="o">**</span><span class="mi">2</span><span class="p">)</span>

<span class="bp">self</span><span class="o">.</span><span class="n">work_counters</span><span class="p">[</span><span class="s1">&#39;rhs&#39;</span><span class="p">]</span> <span class="o">=</span> <span class="n">WorkCounter</span><span class="p">()</span>

<div class="viewcode-block" id="advectiondiffusion1d_imex.eval_f">
<a class="viewcode-back" href="../../../pySDC/implementations.problem_classes.AdvectionDiffusionEquation_1D_FFT.html#implementations.problem_classes.AdvectionDiffusionEquation_1D_FFT.advectiondiffusion1d_imex.eval_f">[docs]</a>
<span class="k">def</span> <span class="nf">eval_f</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">u</span><span class="p">,</span> <span class="n">t</span><span class="p">):</span>
Expand All @@ -137,6 +139,7 @@ <h1>Source code for implementations.problem_classes.AdvectionDiffusionEquation_1
<span class="n">f</span><span class="o">.</span><span class="n">impl</span><span class="p">[:]</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">fft</span><span class="o">.</span><span class="n">irfft</span><span class="p">(</span><span class="n">tmp_impl</span><span class="p">)</span>
<span class="n">f</span><span class="o">.</span><span class="n">expl</span><span class="p">[:]</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">fft</span><span class="o">.</span><span class="n">irfft</span><span class="p">(</span><span class="n">tmp_expl</span><span class="p">)</span>

<span class="bp">self</span><span class="o">.</span><span class="n">work_counters</span><span class="p">[</span><span class="s1">&#39;rhs&#39;</span><span class="p">]()</span>
<span class="k">return</span> <span class="n">f</span></div>


Expand Down Expand Up @@ -202,6 +205,8 @@ <h1>Source code for implementations.problem_classes.AdvectionDiffusionEquation_1
<span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">init</span><span class="p">[</span><span class="mi">0</span><span class="p">]):</span>
<span class="n">x</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">xvalues</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">-</span> <span class="bp">self</span><span class="o">.</span><span class="n">c</span> <span class="o">*</span> <span class="n">t</span> <span class="o">+</span> <span class="n">k</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">L</span>
<span class="n">me</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">+=</span> <span class="n">np</span><span class="o">.</span><span class="n">sqrt</span><span class="p">(</span><span class="n">t00</span><span class="p">)</span> <span class="o">/</span> <span class="n">np</span><span class="o">.</span><span class="n">sqrt</span><span class="p">(</span><span class="n">t00</span> <span class="o">+</span> <span class="n">t</span><span class="p">)</span> <span class="o">*</span> <span class="n">np</span><span class="o">.</span><span class="n">exp</span><span class="p">(</span><span class="o">-</span><span class="p">(</span><span class="n">x</span><span class="o">**</span><span class="mi">2</span><span class="p">)</span> <span class="o">/</span> <span class="p">(</span><span class="mf">4.0</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">nu</span> <span class="o">*</span> <span class="p">(</span><span class="n">t00</span> <span class="o">+</span> <span class="n">t</span><span class="p">)))</span>
<span class="k">else</span><span class="p">:</span>
<span class="k">raise</span> <span class="n">ParameterError</span><span class="p">(</span><span class="s2">&quot;There is no exact solution implemented for negative frequency and negative nu!&quot;</span><span class="p">)</span>
<span class="k">return</span> <span class="n">me</span></div>
</div>

Expand Down Expand Up @@ -230,6 +235,9 @@ <h1>Source code for implementations.problem_classes.AdvectionDiffusionEquation_1
<span class="sd"> This class has the same attributes as the class it inherits from.</span>
<span class="sd"> &quot;&quot;&quot;</span>

<span class="n">dtype_u</span> <span class="o">=</span> <span class="n">mesh</span>
<span class="n">dtype_f</span> <span class="o">=</span> <span class="n">mesh</span>

<div class="viewcode-block" id="advectiondiffusion1d_implicit.eval_f">
<a class="viewcode-back" href="../../../pySDC/implementations.problem_classes.AdvectionDiffusionEquation_1D_FFT.html#implementations.problem_classes.AdvectionDiffusionEquation_1D_FFT.advectiondiffusion1d_implicit.eval_f">[docs]</a>
<span class="k">def</span> <span class="nf">eval_f</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">u</span><span class="p">,</span> <span class="n">t</span><span class="p">):</span>
Expand All @@ -254,6 +262,7 @@ <h1>Source code for implementations.problem_classes.AdvectionDiffusionEquation_1
<span class="n">tmp</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">nu</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">lap</span> <span class="o">*</span> <span class="n">tmp_u</span> <span class="o">-</span> <span class="bp">self</span><span class="o">.</span><span class="n">c</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">ddx</span> <span class="o">*</span> <span class="n">tmp_u</span>
<span class="n">f</span><span class="p">[:]</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">fft</span><span class="o">.</span><span class="n">irfft</span><span class="p">(</span><span class="n">tmp</span><span class="p">)</span>

<span class="bp">self</span><span class="o">.</span><span class="n">work_counters</span><span class="p">[</span><span class="s1">&#39;rhs&#39;</span><span class="p">]</span>
<span class="k">return</span> <span class="n">f</span></div>


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