Adaptive time splitting method for multi-scale evolutionary partial differential equations

DOI10.1142/S1793744211000412zbMath1231.65153arXiv1104.3697MaRDI QIDQ643856

Max Duarte, Marc Massot, Thierry Dumont, Stéphane Descombes, Violaine Louvet

Publication date: 2 November 2011

Published in: Confluentes Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.3697

zbMATH Keywords

traveling waveserror controlreaction-diffusion equationsadaptive multiresolutionBelousov-Zhabotinski modelmulti-scale gas dischargesmulti-scale processesStrang-Marchuk operator splittingtime adaptive integration

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Theoretical approximation in context of PDEs (35A35) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Traveling wave solutions (35C07)

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