Parareal operator splitting techniques for multi-scale reaction waves: Numerical analysis and strategies

DOI10.1051/m2an/2010104zbMath1269.65089OpenAlexW2139219363MaRDI QIDQ2839136

Max Duarte, Marc Massot, Stéphane Descombes

Publication date: 4 July 2013

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2010104

zbMATH Keywords

algorithmconvergence analysisconvergencenumerical examplesparallel computationoperator splittingsemidiscretizationreaction-diffusion equationparareal algorithmmulti-scale wavesnonlinear chemical dynamicsstiff reaction fronts

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Parallel numerical computation (65Y05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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Uses Software

• NewtonLib