Multistep high-order interpolants of Runge-Kutta methods

DOI10.1016/0377-0427(93)90266-EzbMath0780.65044MaRDI QIDQ688024

Rossana Vermiglio

Publication date: 23 January 1994

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

zbMATH Keywords

numerical examplesRunge-Kutta methodmultistep high-order interpolants

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 (3)

Multistep natural continuous extensions of Runge-Kutta methods: The potential for stable interpolation ⋮ Some applications of continuous Runge-Kutta methods ⋮ Positive and conservative schemes for mass action kinetics

Cites Work

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• One-Step Collocation: Uniform Superconvergence, Predictor-Corrector Method, Local Error Estimate
• Order Barriers and Characterizations for Continuous Mono-Implicit Runge- Kutta Schemes
• Interpolants for Runge-Kutta formulas
• Fourth- and Fifth-Order, Scaled Rungs–Kutta Algorithms for Treating Dense Output
• Order Barriers for Continuous Explicit Runge-Kutta Methods

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