Error estimation for Nordsieck methods

DOI10.1023/A:1021152005287zbMath1012.65083OpenAlexW1680887886MaRDI QIDQ1862215

Zdzisław Jackiewicz, John C. Butcher

Publication date: 10 March 2003

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

Full work available at URL: https://doi.org/10.1023/a:1021152005287

zbMATH Keywords

error estimationgeneral linear methodsNordsieck methodsstep changing strategy

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)

Related Items (7)

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 ⋮ Implementation of second derivative general linear methods ⋮ Order conditions for general linear methods ⋮ Nordsieck representation of two-step Runge-Kutta methods for ordinary differential equations ⋮ General linear methods for ordinary differential equations ⋮ A new class of efficient general linear methods for ordinary differential equations

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