A reliable error estimation for diagonally implicit multistage integration methods

DOI10.1023/A:1021987717046zbMath0998.65081OpenAlexW205683037MaRDI QIDQ5960906

Zdzisław Jackiewicz, John C. Butcher

Publication date: 24 November 2002

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1021987717046

zbMATH Keywords

diagonally implicit multistage integration methodslocal error estimationNordsieck representation

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)

Related Items (11)

Construction of high-order quadratically stable second-derivative general linear methods for the numerical integration of stiff ODEs ⋮ A new approach to the construction of DIMSIMs of high order and stage order ⋮ Construction and implementation of general linear methods for ordinary differential equations: a review ⋮ Strong stability preserving general linear methods ⋮ Order conditions for general linear methods ⋮ Search for efficient general linear methods for ordinary differential equations ⋮ Numerical solution of a problem in the theory of epidemics ⋮ Nordsieck representation of two-step Runge-Kutta methods for ordinary differential equations ⋮ Variable stepsize SDIMSIMs for ordinary differential equations ⋮ General linear methods for ordinary differential equations ⋮ A new class of efficient general linear methods for ordinary differential equations

Uses Software

• DIMSIM

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