New Runge-Kutta based schemes for ODEs with cheap global error estimation.

DOI10.1023/B:BITN.0000007056.32638.fbzbMath1046.65055MaRDI QIDQ1431666

Joseba Makazaga, Ander Murua

Publication date: 11 June 2004

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

numerical experimentsRunge-Kutta methodsglobal error estimationvariable step-size 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)

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