High-Order Embedded Runge-Kutta-Nystrom Formulae

DOI10.1093/imanum/11.2.297zbMath0721.65041OpenAlexW4236788556MaRDI QIDQ5753453

J. R. Dormand, P. J. Prince, Moawwad E. A. El-Mikkawy

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1093/imanum/11.2.297

zbMATH Keywords

Runge-Kutta-Nyström methodsorder conditionslocal error estimationhigh precisionCorrectionspecial second order differential equationcomparison of Runge-Kutta-Nyström 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)

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