Nordsieck representation of DIMSIMs

DOI10.1023/A:1019195215402zbMath0920.65043OpenAlexW2069268198MaRDI QIDQ1385152

Philippe Chartier, John C. Butcher, Zdzisław Jackiewicz

Publication date: 19 September 1999

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1019195215402

zbMATH Keywords

systemserror estimationdiagonally implicit multistage integration methodsvariable step-sizeNordsieck representationerror accumulationDIMSIM methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) 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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