Global error estimation with adaptive explicit Runge-Kutta methods

DOI10.1093/IMANUM/16.1.47zbMath0840.65087OpenAlexW2161377326MaRDI QIDQ4864124

Desmond J. Higham, Manuel Calvo, Luis Rández, Juan I. Montijano

Publication date: 30 June 1996

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

Full work available at URL: https://semanticscholar.org/paper/b516228a3576fe63ae3a6f714b9a4ca947e148d5

zbMATH Keywords

error controlglobal error estimationRichardson extrapolationsadaptive Runge-Kutta 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)

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