Timestepping

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ketch edited this page Nov 13, 2014 · 4 revisions

IMEX stepping in PyClaw

David has a hacky implementation of a first-order method with scipy's solvers here: https://github.com/ketch/pyclaw/tree/imex

Multi-rate time stepping with AMR

Qinghai Zhang and Hans Johansen and Phillip Colella A fourth-order accurate finite-volume method with structured adaptive mesh refinement for solving the advection-diffusion equation http://epubs.siam.org/doi/abs/10.1137/110820105
Peter McCorquodale and Phillip Colella A high-order finite volume method for conservation laws on locally refined grids http://msp.org/camcos/2011/6-1/index.xhtml
Willem Hundsdorfer and David I. Ketcheson and Igor Savostianov Error Analysis of explicit partitioned Runge-Kutta schemes for conservation laws http://arxiv.org/abs/1310.7168