Global error estimators for order 7, 8 Runge--Kutta pairs

DOI10.1023/A:1021190918665zbMath1014.65066OpenAlexW1655710639MaRDI QIDQ1862226

T. Macdougall, James H. Verner

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:1021190918665

zbMATH Keywords

order conditionsvariable stepsizeinterpolantsglobal error estimatesexplicit Runge-Kutta pairs

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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