A Hierarchical Multiresolution Adaptive Mesh Refinement for the Solution of Evolution PDEs

DOI10.1137/070708329zbMath1189.65218OpenAlexW1981351934MaRDI QIDQ3558687

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Publication date: 6 May 2010

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/070708329

zbMATH Keywords

algorithmstabilityfinite difference methodgrid adaptationinitial-boundary value problemsmultiresolutionnonlinear evolution equationmesh refinementessentially nonoscillatory interpolation

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

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