Linear and quasi-linear iterative splitting methods: Theory and applications

DOI10.12988/imf.2007.07212zbMath1144.65060OpenAlexW2513967556MaRDI QIDQ5453841

Jürgen Geiser

Publication date: 3 April 2008

Published in: International Mathematical Forum (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/e40a40fa7ec987c224f4aad96d2447a10dba952e

zbMATH Keywords

stabilityerror estimatesconsistencyCauchy problemnumerical experimentsparabolic differential equationsoperator-splitting methodstime-decomposition methodslinearization problemsnonlinear convection-diffusion-reaction equations

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Reaction-diffusion equations (35K57) Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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Iterative operator-splitting methods with higher-order time integration methods and applications for parabolic partial differential equations

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