A conservative fully adaptive multiresolution algorithm for parabolic PDEs

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Publication:1399655

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DOI10.1016/S0021-9991(03)00189-XzbMath1022.65093OpenAlexW2077468478MaRDI QIDQ1399655

Henning Bockhorn, Olivier Roussel, Kai Schneider, Alexei Tsigulin

Publication date: 30 July 2003

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-9991(03)00189-x

zbMATH Keywords

finite volume method convection-diffusion equation numerical examples Burgers equation error bounds adaptivity multiresolution computational efficiency reaction-diffusion equations parabolic partial differential equation locally refined nested grids

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Complexity and performance of numerical algorithms (65Y20)

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