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projects/parallelSDC/README.rst

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@@ -25,8 +25,8 @@ The main idea here is to work with a diagonalization of the Q matrix.
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While this works well for non-equidistant and non-symmetri nodes like Gauss-Radau, this can only be applied for linear problem, where space and time is separated via Kronecker products.
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In order to apply this also for nonlinear problems, we apply an outer Newton iteration to the nonlinear collocation problem and use the diagonalized SDC approach for the linear problem.
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Yet, the naive implementation still does not decouple space and time, so that we need to fix the Jacobian at e.g. node 0.
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This example compares the iteration counts and errors for this idea (incl. a modified Newton where the Jacobian is not fixed but the appraoch is applied nonetheless).
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Two new sweepers are used here: ``linearized_implicit_parallel`` and ``linearized_implicit_fixed_parallel``.
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This example compares the iteration counts and errors for this idea (incl. a modified Newton where the Jacobian is not fixed but the approach is applied nonetheless).
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Three new sweepers are used here: ``linearized_implicit_parallel``, ``linearized_implicit_fixed_parallel`` and ``linearized_implicit_fixed_parallel_prec``.
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.. include:: doc_parallelSDC_nonlinear.rst
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