The necessary condition for a Runge-Kutta scheme to be symplectic for Hamiltonian systems

DOI10.1016/0898-1221(93)90082-7zbMath0777.65047OpenAlexW1978520313MaRDI QIDQ2367576

Yanyan Li

Publication date: 15 December 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)90082-7

zbMATH Keywords

Hamiltonian systemsRunge-Kutta schemeirreduciblesymplectic\((Y-T)\)-type array

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)

Related Items (3)

Variable steps for reversible integration methods ⋮ Structure-preserving numerical methods for infinite-dimensional Birkhoffian systems ⋮ Formal energy of a symplectic scheme for Hamiltonian systems and its applications. I

Cites Work

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• Runge-Kutta schemes for Hamiltonian systems
• The symplecticity of multi-step methods

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