Is the formal energy of the mid-point rule convergent?

DOI10.1016/S0898-1221(02)80021-9zbMath1050.65128OpenAlexW2086801063MaRDI QIDQ1876485

Ai-Guo Xiao, Yi-Fa Tang, Jing-Bo Chen

Publication date: 20 August 2004

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

Full work available at URL: https://doi.org/10.1016/s0898-1221(02)80021-9

zbMATH Keywords

Hamiltonian systemGenerating functionFormal energyMid-point ruleSymplectic difference schemeTree-expansion

Mathematics Subject Classification ID

Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items (1)

Convergence analysis of the formal energies of symplectic methods for Hamiltonian systems

Cites Work

• Recent progress in the theory and application of symplectic integrators
• Note on the Polya and Otter formulas for enumerating trees
• Parallel concepts in graph theory
• Formal energy of a symplectic scheme for Hamiltonian systems and its applications. I
• Formal energy of symplectic scheme for Hamiltonian systems and its applications. II
• Hamiltonian algorithms for Hamiltonian systems and a comparative numerical study
• On the Hamiltonian interpolation of near-to-the-identity symplectic mappings with application to symplectic integration algorithms
• The number of trees
• Symplectic integration of Hamiltonian systems
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