New interpolants for runge-kutta algorithms using second derivatives

DOI10.1080/00207168908803792zbMath0749.65051OpenAlexW2060762083MaRDI QIDQ4009705

Ch. Tsitouras, George Papageorgiou

Publication date: 27 September 1992

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207168908803792

zbMATH Keywords

explicit Runge-Kutta methodsinterpolantlocal truncation errornon-stiff initial value problemsfifth order solution

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)

Related Items (4)

RK-Slim: embedded Runge-Kutta without the excess baggage ⋮ Continuous Runge-Kutta(-Nyström) methods with reduced phase-errors ⋮ Runge-Kutta interpolants based on values from two successive integration steps ⋮ Some new Runge-Kutta methods with interpolation properties and their application to the Magnetic-Binary Problem

Cites Work

• Interpolation for Runge–Kutta Methods
• Some new Runge-Kutta methods with interpolation properties and their application to the Magnetic-Binary Problem
• Solving Nonstiff Ordinary Differential Equations—The State of the Art
• Interpolants for Runge-Kutta formulas
• Fourth- and Fifth-Order, Scaled Rungs–Kutta Algorithms for Treating Dense Output
• Comparing Numerical Methods for Ordinary Differential Equations

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