Estimating local truncation errors for Runge-Kutta methods

DOI10.1016/0377-0427(93)90275-GzbMath0789.65066OpenAlexW2028342439MaRDI QIDQ688617

John C. Butcher, P. B. Johnston

Publication date: 13 June 1994

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(93)90275-g

zbMATH Keywords

Runge-Kutta methodstruncation errorlocal error estimationvariable-stepsize

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for numerical methods for ordinary differential equations (65L70)

Related Items (2)

Adaptive step size controllers based on Runge-Kutta and linear-neighbor methods for solving the non-stationary heat conduction equation ⋮ Formally-verified round-off error analysis of Runge-Kutta methods

Uses Software

• nag

Cites Work

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• Asymptotic error estimation for one-step methods based on quadrature
• A Method for the Numerical Integration of Ordinary Differential Equations
• Initial Value Routines in the NAG Library
• Comparing Numerical Methods for Ordinary Differential Equations

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