G-symplectic integration of many body problems

DOI10.1007/s41980-018-0061-6zbMath1410.65478OpenAlexW2607169305MaRDI QIDQ1734089

Xianqiang Yang

Publication date: 22 March 2019

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-018-0061-6

zbMATH Keywords

Hamiltonian systemsparasitismKepler's problemG-symplectic general linear methodsJovian problem

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) (n)-body problems (70F10) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

Uses Software

• RODAS

Cites Work

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• Long-term stability of multi-value methods for ordinary differential equations
• Symmetric general linear methods
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• G-symplecticity implies conjugate-symplecticity of the underlying one-step method
• Solving Ordinary Differential Equations I
• A First Course in the Numerical Analysis of Differential Equations
• N-body simulations
• High-Order Symplectic Runge–Kutta–Nyström Methods
• The Control of Parasitism in $G$-symplectic Methods
• Partitioned Runge-Kutta Methods for Separable Hamiltonian Problems
• Geometric Numerical Integration
• Conservation of integrals and symplectic structure in the integration of differential equations by multistep methods
• General linear methods
• Numerical Methods for Ordinary Differential Equations

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