A new method for derivation of continuous Runge-Kutta formulas

DOI10.1016/0898-1221(93)90105-5zbMath0788.65081OpenAlexW2004073338MaRDI QIDQ2367554

Curtis Outlaw, Leroy Derr, Diran Sarafyan

Publication date: 6 June 1994

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(93)90105-5

zbMATH Keywords

error estimatorsinterpolantcontinuous outputorder conditionhigh-order explicit Runge-Kutta methods

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

• A new embedded pair of Runge-Kutta formulas of orders 5 and 6
• Continuous approximate solution of ordinary differential equations and their systems
• High order embedded Runge-Kutta formulae
• Improved sixth-order Runge-Kutta formulas and approximate continuous solution of ordinary differential equations
• A fifth-order interpolant for the Dormand and Prince Runge-Kutta method
• Fourth- and Fifth-Order, Scaled Rungs–Kutta Algorithms for Treating Dense Output

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