Interpolants for Runge-Kutta pairs of order four and five

DOI10.1007/BF02238806zbMath0724.65075OpenAlexW38371863MaRDI QIDQ758138

Rémi Vaillancourt, M. Calvé

Publication date: 1990

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02238806

zbMATH Keywords

Hermite interpolationRunge-Kutta pairsdense output formulas

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)

Uses Software

• NSDTST
• STDTST

Cites Work

• A reconsideration of some embedded Runge-Kutta formulae
• A family of embedded Runge-Kutta formulae
• A fifth-order interpolant for the Dormand and Prince Runge-Kutta method
• Some Practical Runge-Kutta Formulas
• Analysis of Error Control Strategies for Continuous Runge–Kutta Methods
• Interpolants for Runge-Kutta formulas
• Runge-Kutta triples
• Fourth- and Fifth-Order, Scaled Rungs–Kutta Algorithms for Treating Dense Output
• Comparing Numerical Methods for Ordinary Differential Equations

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