Order conditions for partitioned Runge-Kutta methods.

DOI10.1023/A:1022323529349zbMath1058.65069OpenAlexW157826253MaRDI QIDQ1582533

Rossana Vermiglio, Zdzisław Jackiewicz

Publication date: 15 October 2000

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/33061

zbMATH Keywords

order conditionpartitioned Runge-Kutta method

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

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Cites Work

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• Order conditions for numerical methods for partitioned ordinary differential equations
• Variable stepsize continuous two-step Runge-Kutta methods for ordinary differential equations
• General linear methods with external stages of different orders
• Solving Ordinary Differential Equations I
• Runge-Kutta Theory for Volterra Integral Equations of the Second Kind
• The Runge–Kutta Theory in a Nutshell
• A New Theoretical Approach to Runge–Kutta Methods
• A General Class of Two-Step Runge–Kutta Methods for Ordinary Differential Equations