A Runge-Kutta method with stepsize control for separated systems of first-order ODEs

DOI10.1016/0096-3003(93)90089-WzbMath0806.65072OpenAlexW2020180286MaRDI QIDQ1316158

Jan Frederick Andrus

Publication date: 10 April 1994

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

Full work available at URL: https://doi.org/10.1016/0096-3003(93)90089-w

zbMATH Keywords

Runge-Kutta methodsystemautomatic stepsize controlseparation into subsystems

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) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Cites Work

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• Formulas for modular integration of systems of ODE's
• Stability of a multi-rate method for numerical integration of ODE's
• A Comparison of Several Formulas on Lightly Damped, Oscillatory Problems
• Automatic Integration of Systems of Second-Order ODE’s Separated into Subsystems
• Numerical Solution of Systems of Ordinary Differential Equations Separated into Subsystems
• Numerical Solution of Ordinary Differential Equations: Is There Anything Left to Do?

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