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pySDC is a Python implementation of the spectral deferred correction (SDC) approach and its flavors, esp. the multilevel extension MLSDC and PFASST.

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Python Parareal code to study its dispersion relation

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Python framework for writing linear multigrid solvers

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a time-parallel solver for partial differential equations using the finite element method for spatial discretisation

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PFASST++ is a C++ implementation of the "parallel full approximation scheme in space and time" (PFASST) algorithm

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Visualize how the PFASST algorithm works using TikZ

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