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diff --git a/.doctrees/environment.pickle b/.doctrees/environment.pickle
diff --git a/.doctrees/projects/Hamiltonian.doctree b/.doctrees/projects/Hamiltonian.doctree
diff --git a/.doctrees/projects/doc_fput.doctree b/.doctrees/projects/doc_fput.doctree
diff --git a/.doctrees/projects/doc_matrixPFASST_matrix.doctree b/.doctrees/projects/doc_matrixPFASST_matrix.doctree
diff --git a/.doctrees/projects/doc_matrixPFASST_propagator.doctree b/.doctrees/projects/doc_matrixPFASST_propagator.doctree
diff --git a/.doctrees/projects/matrixPFASST.doctree b/.doctrees/projects/matrixPFASST.doctree
diff --git a/.doctrees/pySDC/implementations.convergence_controller_classes.adaptivity.doctree b/.doctrees/pySDC/implementations.convergence_controller_classes.adaptivity.doctree
diff --git a/.doctrees/tutorial/doc_step_1_A.doctree b/.doctrees/tutorial/doc_step_1_A.doctree
diff --git a/.doctrees/tutorial/doc_step_1_B.doctree b/.doctrees/tutorial/doc_step_1_B.doctree
diff --git a/.doctrees/tutorial/doc_step_1_D.doctree b/.doctrees/tutorial/doc_step_1_D.doctree
diff --git a/.doctrees/tutorial/doc_step_2_A.doctree b/.doctrees/tutorial/doc_step_2_A.doctree
diff --git a/.doctrees/tutorial/doc_step_2_B.doctree b/.doctrees/tutorial/doc_step_2_B.doctree
diff --git a/.doctrees/tutorial/doc_step_2_C.doctree b/.doctrees/tutorial/doc_step_2_C.doctree
diff --git a/.doctrees/tutorial/doc_step_3_A.doctree b/.doctrees/tutorial/doc_step_3_A.doctree
diff --git a/.doctrees/tutorial/doc_step_3_B.doctree b/.doctrees/tutorial/doc_step_3_B.doctree
diff --git a/.doctrees/tutorial/doc_step_3_C.doctree b/.doctrees/tutorial/doc_step_3_C.doctree
diff --git a/.doctrees/tutorial/doc_step_4_C.doctree b/.doctrees/tutorial/doc_step_4_C.doctree
diff --git a/.doctrees/tutorial/doc_step_4_D.doctree b/.doctrees/tutorial/doc_step_4_D.doctree
diff --git a/.doctrees/tutorial/doc_step_7_A.doctree b/.doctrees/tutorial/doc_step_7_A.doctree
diff --git a/.doctrees/tutorial/doc_step_7_B.doctree b/.doctrees/tutorial/doc_step_7_B.doctree
diff --git a/.doctrees/tutorial/doc_step_7_C.doctree b/.doctrees/tutorial/doc_step_7_C.doctree
diff --git a/.doctrees/tutorial/doc_step_8_B.doctree b/.doctrees/tutorial/doc_step_8_B.doctree
diff --git a/.doctrees/tutorial/doc_step_8_C.doctree b/.doctrees/tutorial/doc_step_8_C.doctree
diff --git a/.doctrees/tutorial/step_1.doctree b/.doctrees/tutorial/step_1.doctree
diff --git a/.doctrees/tutorial/step_2.doctree b/.doctrees/tutorial/step_2.doctree
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diff --git a/.doctrees/tutorial/step_7.doctree b/.doctrees/tutorial/step_7.doctree
diff --git a/.doctrees/tutorial/step_8.doctree b/.doctrees/tutorial/step_8.doctree
diff --git a/_images/convergence.png b/_images/convergence.png
diff --git a/_images/fput_hamiltonian.png b/_images/fput_hamiltonian.png
diff --git a/_images/full_solar_system_hamiltonian.png b/_images/full_solar_system_hamiltonian.png
diff --git a/_images/harmonic_hamiltonian.png b/_images/harmonic_hamiltonian.png
diff --git a/_images/henonheiles_hamiltonian.png b/_images/henonheiles_hamiltonian.png
diff --git a/_images/iteration.png b/_images/iteration.png
diff --git a/_images/outer_solar_system_hamiltonian.png b/_images/outer_solar_system_hamiltonian.png
diff --git a/_images/parallelSDC_preconditioner_vanderpol.png b/_images/parallelSDC_preconditioner_vanderpol.png
diff --git a/_images/piline_hotrod_1procs.png b/_images/piline_hotrod_1procs.png
diff --git a/_images/piline_hotrod_4procs.png b/_images/piline_hotrod_4procs.png
diff --git a/_images/piline_hotrod_adaptive_1procs.png b/_images/piline_hotrod_adaptive_1procs.png
diff --git a/_images/piline_hotrod_adaptive_4procs.png b/_images/piline_hotrod_adaptive_4procs.png
diff --git a/_images/piline_solution_adaptive.png b/_images/piline_solution_adaptive.png
diff --git a/_images/step_1_accuracy_test_coll.png b/_images/step_1_accuracy_test_coll.png
diff --git a/_images/step_1_accuracy_test_space.png b/_images/step_1_accuracy_test_space.png
diff --git a/_images/step_8_residuals.png b/_images/step_8_residuals.png
diff --git a/_images/timings_SDC_variants_Fisher.png b/_images/timings_SDC_variants_Fisher.png
diff --git a/_images/timings_SDC_variants_GrayScott.png b/_images/timings_SDC_variants_GrayScott.png
diff --git a/_modules/implementations/convergence_controller_classes/adaptive_collocation.html b/_modules/implementations/convergence_controller_classes/adaptive_collocation.html
@@ -312,11 +312,6 @@ <h1>Source code for implementations.convergence_controller_classes.adaptive_coll
                 <span class="kc">False</span><span class="p">,</span>
                 <span class="s2">&quot;Switching the collocation problems requires solving them to some tolerance that can be reached. Please set attainable `restol` in the level params&quot;</span><span class="p">,</span>
             <span class="p">)</span>
-        <span class="k">if</span> <span class="n">description</span><span class="p">[</span><span class="s2">&quot;step_params&quot;</span><span class="p">]</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s2">&quot;maxiter&quot;</span><span class="p">,</span> <span class="o">-</span><span class="mf">1.0</span><span class="p">)</span> <span class="o">&lt;</span> <span class="mi">99</span><span class="p">:</span>
-            <span class="k">return</span> <span class="p">(</span>
-                <span class="kc">False</span><span class="p">,</span>
-                <span class="s2">&quot;Switching the collocation problems requires solving them exactly, which may require many iterations please set `maxiter` to at least 99 in the step params&quot;</span><span class="p">,</span>
-            <span class="p">)</span>
 
         <span class="k">return</span> <span class="kc">True</span><span class="p">,</span> <span class="s2">&quot;&quot;</span></div>
 </div>

diff --git a/_modules/implementations/convergence_controller_classes/adaptivity.html b/_modules/implementations/convergence_controller_classes/adaptivity.html
diff --git a/_modules/implementations/convergence_controller_classes/estimate_polynomial_error.html b/_modules/implementations/convergence_controller_classes/estimate_polynomial_error.html
@@ -101,6 +101,8 @@ <h1>Source code for implementations.convergence_controller_classes.estimate_poly
                 <span class="s1">&#39;You cannot interpolate with lower accuracy to the end point if the end point is a node!&#39;</span>
             <span class="p">)</span>
 
+        <span class="bp">self</span><span class="o">.</span><span class="n">interpolation_matrix</span> <span class="o">=</span> <span class="kc">None</span>
+
         <span class="k">return</span> <span class="n">defaults</span></div>
 
 
@@ -183,16 +185,18 @@ <h1>Source code for implementations.convergence_controller_classes.estimate_poly
             <span class="n">nodes</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="n">coll</span><span class="o">.</span><span class="n">nodes</span><span class="p">),</span> <span class="mf">1.0</span><span class="p">)</span>
             <span class="n">estimate_on_node</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">params</span><span class="o">.</span><span class="n">estimate_on_node</span>
 
-            <span class="n">interpolator</span> <span class="o">=</span> <span class="n">LagrangeApproximation</span><span class="p">(</span>
-                <span class="n">points</span><span class="o">=</span><span class="p">[</span><span class="n">nodes</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <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="n">coll</span><span class="o">.</span><span class="n">num_nodes</span> <span class="o">+</span> <span class="mi">1</span><span class="p">)</span> <span class="k">if</span> <span class="n">i</span> <span class="o">!=</span> <span class="n">estimate_on_node</span><span class="p">]</span>
-            <span class="p">)</span>
-            <span class="n">interpolation_matrix</span> <span class="o">=</span> <span class="n">interpolator</span><span class="o">.</span><span class="n">getInterpolationMatrix</span><span class="p">([</span><span class="n">nodes</span><span class="p">[</span><span class="n">estimate_on_node</span><span class="p">]])</span>
+            <span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">interpolation_matrix</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
+                <span class="n">interpolator</span> <span class="o">=</span> <span class="n">LagrangeApproximation</span><span class="p">(</span>
+                    <span class="n">points</span><span class="o">=</span><span class="p">[</span><span class="n">nodes</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <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="n">coll</span><span class="o">.</span><span class="n">num_nodes</span> <span class="o">+</span> <span class="mi">1</span><span class="p">)</span> <span class="k">if</span> <span class="n">i</span> <span class="o">!=</span> <span class="n">estimate_on_node</span><span class="p">]</span>
+                <span class="p">)</span>
+                <span class="bp">self</span><span class="o">.</span><span class="n">interpolation_matrix</span> <span class="o">=</span> <span class="n">interpolator</span><span class="o">.</span><span class="n">getInterpolationMatrix</span><span class="p">([</span><span class="n">nodes</span><span class="p">[</span><span class="n">estimate_on_node</span><span class="p">]])</span>
+
             <span class="n">u</span> <span class="o">=</span> <span class="p">[</span>
                 <span class="n">L</span><span class="o">.</span><span class="n">u</span><span class="p">[</span><span class="n">i</span><span class="p">]</span><span class="o">.</span><span class="n">flatten</span><span class="p">()</span> <span class="k">if</span> <span class="n">L</span><span class="o">.</span><span class="n">u</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="ow">is</span> <span class="ow">not</span> <span class="kc">None</span> <span class="k">else</span> <span class="n">L</span><span class="o">.</span><span class="n">u</span><span class="p">[</span><span class="n">i</span><span class="p">]</span>
                 <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="n">coll</span><span class="o">.</span><span class="n">num_nodes</span> <span class="o">+</span> <span class="mi">1</span><span class="p">)</span>
                 <span class="k">if</span> <span class="n">i</span> <span class="o">!=</span> <span class="n">estimate_on_node</span>
             <span class="p">]</span>
-            <span class="n">u_inter</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">matmul</span><span class="p">(</span><span class="n">interpolation_matrix</span><span class="p">,</span> <span class="n">u</span><span class="p">)[</span><span class="mi">0</span><span class="p">]</span><span class="o">.</span><span class="n">reshape</span><span class="p">(</span><span class="n">L</span><span class="o">.</span><span class="n">prob</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">u_inter</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">matmul</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">interpolation_matrix</span><span class="p">,</span> <span class="n">u</span><span class="p">)[</span><span class="mi">0</span><span class="p">]</span><span class="o">.</span><span class="n">reshape</span><span class="p">(</span><span class="n">L</span><span class="o">.</span><span class="n">prob</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="c1"># compute end point if needed</span>
             <span class="k">if</span> <span class="n">estimate_on_node</span> <span class="o">==</span> <span class="nb">len</span><span class="p">(</span><span class="n">nodes</span><span class="p">)</span> <span class="o">-</span> <span class="mi">1</span><span class="p">:</span>
@@ -211,7 +215,12 @@ <h1>Source code for implementations.convergence_controller_classes.estimate_poly
                 <span class="bp">self</span><span class="o">.</span><span class="n">comm</span><span class="o">.</span><span class="n">Bcast</span><span class="p">(</span><span class="n">buf</span><span class="p">,</span> <span class="n">root</span><span class="o">=</span><span class="n">rank</span><span class="p">)</span>
                 <span class="n">L</span><span class="o">.</span><span class="n">status</span><span class="o">.</span><span class="n">error_embedded_estimate</span> <span class="o">=</span> <span class="n">buf</span>
             <span class="k">else</span><span class="p">:</span>
-                <span class="n">L</span><span class="o">.</span><span class="n">status</span><span class="o">.</span><span class="n">error_embedded_estimate</span> <span class="o">=</span> <span class="nb">abs</span><span class="p">(</span><span class="n">u_inter</span> <span class="o">-</span> <span class="n">high_order_sol</span><span class="p">)</span></div>
+                <span class="n">L</span><span class="o">.</span><span class="n">status</span><span class="o">.</span><span class="n">error_embedded_estimate</span> <span class="o">=</span> <span class="nb">abs</span><span class="p">(</span><span class="n">u_inter</span> <span class="o">-</span> <span class="n">high_order_sol</span><span class="p">)</span>
+
+            <span class="bp">self</span><span class="o">.</span><span class="n">debug</span><span class="p">(</span>
+                <span class="sa">f</span><span class="s1">&#39;Obtained error estimate: </span><span class="si">{</span><span class="n">L</span><span class="o">.</span><span class="n">status</span><span class="o">.</span><span class="n">error_embedded_estimate</span><span class="si">:</span><span class="s1">.2e</span><span class="si">}</span><span class="s1"> of order </span><span class="si">{</span><span class="n">L</span><span class="o">.</span><span class="n">status</span><span class="o">.</span><span class="n">order_embedded_estimate</span><span class="si">}</span><span class="s1">&#39;</span><span class="p">,</span>
+                <span class="n">S</span><span class="p">,</span>
+            <span class="p">)</span></div>
 
 
 <div class="viewcode-block" id="EstimatePolynomialError.check_parameters">

diff --git a/coverage/coverage-badge.svg b/coverage/coverage-badge.svg
diff --git a/coverage/d_020efe120a771d8a_fput_py.html b/coverage/d_020efe120a771d8a_fput_py.html
@@ -65,7 +65,7 @@ <h2>
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+            created at 2023-11-20 08:58 +0000
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diff --git a/coverage/d_020efe120a771d8a_hamiltonian_and_energy_output_py.html b/coverage/d_020efe120a771d8a_hamiltonian_and_energy_output_py.html
@@ -65,7 +65,7 @@ <h2>
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+            created at 2023-11-20 08:58 +0000
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diff --git a/coverage/d_020efe120a771d8a_hamiltonian_output_py.html b/coverage/d_020efe120a771d8a_hamiltonian_output_py.html
@@ -65,7 +65,7 @@ <h2>
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+            created at 2023-11-20 08:58 +0000
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@@ -170,7 +170,7 @@ <h2>
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+            created at 2023-11-20 08:58 +0000
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+            created at 2023-11-20 08:58 +0000
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+            created at 2023-11-20 08:58 +0000
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+            created at 2023-11-20 08:58 +0000
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