Cheap global error estimation in some Runge-Kutta pairs

DOI10.1093/imanum/drr060zbMath1271.65119OpenAlexW1969732410MaRDI QIDQ4907964

G. Yu. Kulikov

Publication date: 27 February 2013

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

Full work available at URL: https://doi.org/10.1093/imanum/drr060

zbMATH Keywords

numerical examplesvariable step-sizeembedded Runge-Kutta methodsglobal error estimation and control

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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