Order conditions of two kinds of canonical difference schemes

DOI10.1016/0898-1221(93)90300-KzbMath0777.65041OpenAlexW2005976089MaRDI QIDQ2365970

Wenjie Zhu, Meng-Zhao Qin

Publication date: 29 June 1993

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(93)90300-k

zbMATH Keywords

Hamiltonian systemsdifference schemesorder conditionsRunge-Kutta-Nyström method\(P\)-series\(P\)-treeexplicit canonical 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) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (1)

Canonical Runge-Kutta-Nyström methods of orders five and six

Uses Software

• RODAS

Cites Work

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• Fourth-order symplectic integration
• Canonical Runge-Kutta-Nyström (RKN) methods for second order ordinary differential equations
• The canonicity of mappings generated by Runge-Kutta type methods when integrating the systems
• Order Conditions for Canonical Runge–Kutta Schemes
• An Explicit Runge–Kutta–Nyström Method is Canonical If and Only If Its Adjoint is Explicit
• Partitioned Runge-Kutta Methods for Separable Hamiltonian Problems

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