Block 6(5) and 7(6) explicit Runge-Kutta formulae

DOI10.1016/0168-9274(95)00030-XzbMath0833.65071OpenAlexW2073597909MaRDI QIDQ1899306

I. T. Vieira, Jeff R. Cash

Publication date: 9 October 1995

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(95)00030-x

zbMATH Keywords

numerical examplesblock two-step explicit Runge-Kutta formulae

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)

Cites Work

• Global error estimation with Runge-Kutta triples
• Differentiable Interpolants for High-Order Runge–Kutta Methods
• A block 6(4) Runge-Kutta formula for nonstiff initial value problems
• Families of Imbedded Runge–Kutta Methods
• Completely Imbedded Runge–Kutta Pairs
• Error estimates for Runge-Kutta type solutions to systems of ordinary differential equations
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