On the error of general linear methods for stiff dissipative differential equations

DOI10.1093/imanum/14.3.363zbMath0817.65070OpenAlexW1967222150MaRDI QIDQ4304820

Willem H. Hundsdorfer

Publication date: 13 August 1995

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://doc.rero.ch/record/296528/files/14-3-363.pdf

zbMATH Keywords

stabilityconvergenceerror boundsinitial value problemsstiff problemslinear numerical method

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for numerical methods for ordinary differential equations (65L70) Multiple scale methods for ordinary differential equations (34E13)

Related Items (8)

General linear and spectral Galerkin methods for the nonlinear two-sided space distributed-order diffusion equation ⋮ Order reduction phenomenon for general linear methods ⋮ Extrapolation-based implicit-explicit Peer methods with optimised stability regions ⋮ Extrapolation-based super-convergent implicit-explicit peer methods with A-stable implicit part ⋮ B-convergence of general linear methods for stiff problems. ⋮ Super-convergent implicit-explicit peer methods with variable step sizes ⋮ Linear multistep methods as irreducible general linear methods ⋮ Algebraically stable diagonally implicit general linear methods

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