Patch dynamics with buffers for homogenization problems

DOI10.1016/j.jcp.2005.08.010zbMath1092.65074arXivphysics/0412005OpenAlexW2049835858MaRDI QIDQ2490313

Giovanni Samaey, Ioannis G. Kevrekidis, Dirk Roose

Publication date: 28 April 2006

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

Full work available at URL: https://arxiv.org/abs/physics/0412005

zbMATH Keywords

HomogenizationKuramoto-Sivashinsky equationNumerical examplesError estimatePatch dynamicsNonlinear reaction-diffusion equationEquation-free methodsGap-tooth schemeMulti-scale computationMulti-scale initial-boundary-value problems

Mathematics Subject Classification ID

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) Initial value problems for second-order parabolic equations (35K15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

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Uses Software

• SciPy
• ODEPACK

Cites Work

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