Convergence of the Peaceman-Rachford approximation for reaction-diffusion systems

DOI10.1007/s00211-002-0434-9zbMath1034.65077OpenAlexW2046771799MaRDI QIDQ1412176

Magali Ribot, Stéphane Descombes

Publication date: 9 November 2003

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-002-0434-9

zbMATH Keywords

stabilityconvergencereaction-diffusion systemPeaceman-Rachford approximation

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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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Convergence analysis of the splitting method to the nonlinear heat equation ⋮ Peaceman‐Rachford ADI scheme for the two dimensional flow of a second‐grade fluid ⋮ Stability and Error Estimates of Fully Discrete Schemes for the Brusselator System ⋮ Strong convergence of viscosity forward-backward algorithm to the sum of two accretive operators in Banach space ⋮ Dimension splitting for evolution equations ⋮ Unnamed Item ⋮ Smoothing with positivity-preserving Padé schemes for parabolic problems with nonsmooth data ⋮ Analysis of splitting methods for reaction-diffusion problems using stochastic calculus ⋮ A velocity-diffusion method for a Lotka-Volterra system with nonlinear cross and self-diffusion ⋮ Splitting methods with complex times for parabolic equations

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