General linear methods for stiff differential equations

DOI10.1023/A:1021986222073zbMath0983.65085OpenAlexW1557080381MaRDI QIDQ5942332

John C. Butcher

Publication date: 28 August 2001

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1021986222073

zbMATH Keywords

stabilityparallel computationerror boundsinitial value problemsstiff systemsorderRunge-Kutta methodslinear multistep methodsstep size controlbackward differential formula methodsgeneral linear methods

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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for numerical methods for ordinary differential equations (65L70) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

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