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100644 Binary files a/_images/timings_SDC_variants_Fisher.png and b/_images/timings_SDC_variants_Fisher.png differ diff --git a/_images/timings_SDC_variants_GrayScott.png b/_images/timings_SDC_variants_GrayScott.png index 92aceb825a..321fd63aa4 100644 Binary files a/_images/timings_SDC_variants_GrayScott.png and b/_images/timings_SDC_variants_GrayScott.png differ diff --git a/_modules/implementations/convergence_controller_classes/adaptivity.html b/_modules/implementations/convergence_controller_classes/adaptivity.html index 9323f7f933..fc01a35c4a 100644 --- a/_modules/implementations/convergence_controller_classes/adaptivity.html +++ b/_modules/implementations/convergence_controller_classes/adaptivity.html @@ -916,9 +916,9 @@

Source code for implementations.convergence_controller_classes.adaptivity -[docs] -class AdaptivityInterpolationError(AdaptivityForConvergedCollocationProblems): +
+[docs] +class AdaptivityPolynomialError(AdaptivityForConvergedCollocationProblems): """ Class to compute time step size adaptively based on error estimate obtained from interpolation within the quadrature nodes. @@ -926,8 +926,8 @@

Source code for implementations.convergence_controller_classes.adaptivity This error estimate depends on solving the collocation problem exactly, so make sure you set a sufficient stopping criterion. """ -
-[docs] +
+[docs] def setup(self, controller, params, description, **kwargs): from pySDC.implementations.convergence_controller_classes.check_convergence import CheckConvergence @@ -940,14 +940,14 @@

Source code for implementations.convergence_controller_classes.adaptivityreturn {**defaults, **super().setup(controller, params, description, **kwargs)}

-
-[docs] +
+[docs] def get_convergence(self, controller, S, **kwargs): return self.check_convergence(S)
-
-[docs] +
+[docs] def dependencies(self, controller, description, **kwargs): """ Load the error estimator. @@ -959,22 +959,22 @@

Source code for implementations.convergence_controller_classes.adaptivity Returns: None """ - from pySDC.implementations.convergence_controller_classes.estimate_interpolation_error import ( - EstimateInterpolationError, + from pySDC.implementations.convergence_controller_classes.estimate_polynomial_error import ( + EstimatePolynomialError, ) super().dependencies(controller, description) controller.add_convergence_controller( - EstimateInterpolationError, + EstimatePolynomialError, description=description, params={}, ) return None

-
-[docs] +
+[docs] def get_new_step_size(self, controller, S, **kwargs): """ Determine a step size for the next step from the error estimate. @@ -990,7 +990,7 @@

Source code for implementations.convergence_controller_classes.adaptivityL = S.levels[0] # compute next step size - order = L.sweep.coll.num_nodes + order = L.status.order_embedded_estimate e_est = self.get_local_error_estimate(controller, S) L.status.dt_new = self.compute_optimal_step_size( @@ -1007,8 +1007,8 @@

Source code for implementations.convergence_controller_classes.adaptivityreturn None

-
-[docs] +
+[docs] def get_local_error_estimate(self, controller, S, **kwargs): """ Get the embedded error estimate of the finest level of the step. diff --git a/_modules/implementations/convergence_controller_classes/estimate_interpolation_error.html b/_modules/implementations/convergence_controller_classes/estimate_polynomial_error.html similarity index 73% rename from _modules/implementations/convergence_controller_classes/estimate_interpolation_error.html rename to _modules/implementations/convergence_controller_classes/estimate_polynomial_error.html index 7398057a1d..a1433599a8 100644 --- a/_modules/implementations/convergence_controller_classes/estimate_interpolation_error.html +++ b/_modules/implementations/convergence_controller_classes/estimate_polynomial_error.html @@ -4,7 +4,7 @@ - implementations.convergence_controller_classes.estimate_interpolation_error — pySDC 5.3.0 documentation + implementations.convergence_controller_classes.estimate_polynomial_error — pySDC 5.3.0 documentation @@ -27,7 +27,7 @@

Navigation

>modules |
  • pySDC 5.3.0 documentation »
  • Module code »
    • -
  • implementations.convergence_controller_classes.estimate_interpolation_error
    • +
  • implementations.convergence_controller_classes.estimate_polynomial_error
    • @@ -36,7 +36,7 @@

    Navigation

    -

    Source code for implementations.convergence_controller_classes.estimate_interpolation_error

    +  
    Source code for implementations.convergence_controller_classes.estimate_polynomial_error
     import numpy as np
 
 from pySDC.core.Lagrange import LagrangeApproximation
@@ -44,9 +44,9 @@ 
    Source code for implementations.convergence_controller_classes.estimate_inte
 from pySDC.core.Collocation import CollBase
 
 
-
    
-[docs]
-class EstimateInterpolationError(ConvergenceController):
+
    
+[docs]
+class EstimatePolynomialError(ConvergenceController):
     """
     Estimate the local error by using all but one collocation node in a polynomial interpolation to that node.
     While the converged collocation problem with M nodes gives a order M approximation to this point, the interpolation
@@ -54,11 +54,13 @@ 
    Source code for implementations.convergence_controller_classes.estimate_inte
     That is to say this gives an error estimate that is order M. Keep in mind that the collocation problem should be
     converged for this and has order up to 2M. Still, the lower order method can be used for time step selection, for
     instance.
+    If the last node is not the end point, we can interpolate to that node, which is an order M approximation and compare
+    to the order 2M approximation we get from the extrapolation step.
     By default, we interpolate to the second to last node.
     """
 
-
    
-[docs]
+
    
+[docs]
     def setup(self, controller, params, description, **kwargs):
         """
         Args:
@@ -72,9 +74,14 @@ 
    Source code for implementations.convergence_controller_classes.estimate_inte
         from pySDC.implementations.hooks.log_embedded_error_estimate import LogEmbeddedErrorEstimate
         from pySDC.implementations.convergence_controller_classes.check_convergence import CheckConvergence
 
+        sweeper_params = description['sweeper_params']
+        num_nodes = sweeper_params['num_nodes']
+        quad_type = sweeper_params['quad_type']
+
         defaults = {
             'control_order': -75,
-            'estimate_on_node': description['sweeper_params'].get('num_nodes', 2) - 1,
+            'estimate_on_node': num_nodes + 1 if quad_type == 'GAUSS' else num_nodes - 1,
+            **super().setup(controller, params, description, **kwargs),
         }
         self.comm = description['sweeper_params'].get('comm', None)
 
@@ -87,11 +94,18 @@ 
    Source code for implementations.convergence_controller_classes.estimate_inte
         controller.add_hook(LogEmbeddedErrorEstimate)
         self.check_convergence = CheckConvergence.check_convergence
 
-        return {**defaults, **super().setup(controller, params, description, **kwargs)}
    
+        if quad_type != 'GAUSS' and defaults['estimate_on_node'] > num_nodes:
+            from pySDC.core.Errors import ParameterError
+
+            raise ParameterError(
+                'You cannot interpolate with lower accuracy to the end point if the end point is a node!'
+            )
+
+        return defaults
    
 
 
-
    
-[docs]
+
    
+[docs]
     def reset_status_variables(self, controller, **kwargs):
         """
         Add variable for embedded error
@@ -112,11 +126,12 @@ 
    Source code for implementations.convergence_controller_classes.estimate_inte
 
         where = ["levels", "status"]
         for S in steps:
-            self.add_variable(S, name='error_embedded_estimate', where=where, init=None)
    
+            self.add_variable(S, name='error_embedded_estimate', where=where, init=None)
+            self.add_variable(S, name='order_embedded_estimate', where=where, init=None)
    
 
 
-
    
-[docs]
+
    
+[docs]
     def matmul(self, A, b):
         """
         Matrix vector multiplication, possibly MPI parallel.
@@ -148,8 +163,8 @@ 
    Source code for implementations.convergence_controller_classes.estimate_inte
             return A @ np.asarray(b)
    
 
 
-
    
-[docs]
+
    
+[docs]
     def post_iteration_processing(self, controller, S, **kwargs):
         """
         Estimate the error
@@ -165,13 +180,13 @@ 
    Source code for implementations.convergence_controller_classes.estimate_inte
         if self.check_convergence(S):
             L = S.levels[0]
             coll = L.sweep.coll
-            nodes = coll.nodes
+            nodes = np.append(np.append(0, coll.nodes), 1.0)
             estimate_on_node = self.params.estimate_on_node
 
             interpolator = LagrangeApproximation(
-                points=[0] + [nodes[i - 1] for i in range(1, coll.num_nodes + 1) if i != estimate_on_node]
+                points=[nodes[i] for i in range(coll.num_nodes + 1) if i != estimate_on_node]
             )
-            interpolation_matrix = interpolator.getInterpolationMatrix([nodes[estimate_on_node - 1]])
+            interpolation_matrix = interpolator.getInterpolationMatrix([nodes[estimate_on_node]])
             u = [
                 L.u[i].flatten() if L.u[i] is not None else L.u[i]
                 for i in range(coll.num_nodes + 1)
@@ -179,16 +194,28 @@ 
    Source code for implementations.convergence_controller_classes.estimate_inte
             ]
             u_inter = self.matmul(interpolation_matrix, u)[0].reshape(L.prob.init[0])
 
+            # compute end point if needed
+            if estimate_on_node == len(nodes) - 1:
+                if L.uend is None:
+                    L.sweep.compute_end_point()
+                high_order_sol = L.uend
+                rank = 0
+                L.status.order_embedded_estimate = coll.num_nodes + 1
+            else:
+                high_order_sol = L.u[estimate_on_node]
+                rank = estimate_on_node - 1
+                L.status.order_embedded_estimate = coll.num_nodes * 1
+
             if self.comm:
-                buf = np.array(abs(u_inter - L.u[estimate_on_node]) if self.comm.rank == estimate_on_node - 1 else 0.0)
-                self.comm.Bcast(buf, root=estimate_on_node - 1)
+                buf = np.array(abs(u_inter - high_order_sol) if self.comm.rank == rank else 0.0)
+                self.comm.Bcast(buf, root=rank)
                 L.status.error_embedded_estimate = buf
             else:
-                L.status.error_embedded_estimate = abs(u_inter - L.u[estimate_on_node])
    
+                L.status.error_embedded_estimate = abs(u_inter - high_order_sol)
    
 
 
-
    
-[docs]
+
    
+[docs]
     def check_parameters(self, controller, params, description, **kwargs):
         """
         Check if we allow the scheme to solve the collocation problems to convergence.
@@ -241,7 +268,7 @@ 
    Navigation
    
              >modules |
         
  • pySDC 5.3.0 documentation »
    • 
           
  • Module code »
    • 
-        
  • implementations.convergence_controller_classes.estimate_interpolation_error
    •  
+        
  • implementations.convergence_controller_classes.estimate_polynomial_error
    •  
       
     
    
     
 
diff --git a/coverage/d_020efe120a771d8a_hamiltonian_and_energy_output_py.html b/coverage/d_020efe120a771d8a_hamiltonian_and_energy_output_py.html
index daa86f2e47..e44c1b78fe 100644
--- a/coverage/d_020efe120a771d8a_hamiltonian_and_energy_output_py.html
+++ b/coverage/d_020efe120a771d8a_hamiltonian_and_energy_output_py.html
@@ -65,7 +65,7 @@ 
    
             » next
                  
             coverage.py v7.3.1,
-            created at 2023-09-22 06:33 +0000
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index 837662567c..02fcbd74db 100644
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             coverage.py v7.3.1,
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index a8aa390d5d..aaa9ce494e 100644
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             coverage.py v7.3.1,
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diff --git a/coverage/d_020efe120a771d8a_simple_problems_py.html b/coverage/d_020efe120a771d8a_simple_problems_py.html
index b4b7fc58a0..e06899bf37 100644
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diff --git a/coverage/d_020efe120a771d8a_solar_system_py.html b/coverage/d_020efe120a771d8a_solar_system_py.html
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             coverage.py v7.3.1,
-            created at 2023-09-22 06:33 +0000
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