Order conditions for G-symplectic methods

DOI10.1007/s10543-014-0541-xzbMath1338.65185OpenAlexW2025211720MaRDI QIDQ906943

Gulshad Imran, John C. Butcher

Publication date: 1 February 2016

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-014-0541-x

zbMATH Keywords

Runge-Kutta methodtreesorder conditionsgeneral linear methodsrooted treesB-seriesG-symplectic methodsgravitational two-body problem

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Two-body problems (70F05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

Related Items (5)

A G-symplectic method with order 6 ⋮ G-symplectic second derivative general linear methods for Hamiltonian problems ⋮ Partitioned general linear methods for separable Hamiltonian problems ⋮ The cohesiveness of G-symplectic methods ⋮ A new class of \(G ( \epsilon )\)-symplectic general linear methods

Cites Work

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• Runge-Kutta schemes for Hamiltonian systems
• An easily implementable fourth-order method for the time integration of wave problems
• Geometric Numerical Integration
• Order Conditions for Canonical Runge–Kutta Schemes
• The Order of Numerical Methods for Ordinary Differential Equations
• The Control of Parasitism in $G$-symplectic Methods
• General linear methods
• Numerical Methods for Ordinary Differential Equations

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