Symbolic derivation of Runge-Kutta-Nyström type order conditions and methods for solving \(y = f(x, y)\)

DOI10.1016/j.amc.2016.10.028zbMath1411.65094OpenAlexW2544085995MaRDI QIDQ1735062

Ch. Tsitouras, Ioannis Th. Famelis

Publication date: 28 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2016.10.028

zbMATH Keywords

order conditionsdifferential evolutionenumeration of treessymbolic generation of trees

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) 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

• Mathematica

Cites Work

• Unnamed Item
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• On modifications of Runge-Kutta-Nyström methods for solving \(y^{(4)} = f(x, y)\)
• Order conditions for canonical Runge-Kutta-Nyström methods
• Differential evolution. A practical approach to global optimization. With CD-ROM.
• Symbolic derivation of Runge-Kutta-Nyström order conditions
• A theory for Nyström methods
• Direct integrators of Runge-Kutta type for special third-order ordinary differential equations
• Solving Ordinary Differential Equations I
• Some Practical Runge-Kutta Formulas
• Cheap Error Estimation for Runge--Kutta Methods

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