Symmetric schemes, time reversal symmetry and conservative methods for Hamiltonian systems

DOI10.1016/S0377-0427(99)00093-XzbMath0938.65148OpenAlexW2108740427WikidataQ127212408 ScholiaQ127212408MaRDI QIDQ1300718

Lidia Aceto, Donato Trigiante

Publication date: 5 June 2000

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(99)00093-x

zbMATH Keywords

Hamiltonian systemsmarginal stabilityboundary value methodsmultistep methodtime reversal symmetry

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 (2)

On the relations between B\(_2\)VMs and Runge-Kutta collocation methods ⋮ Solving second order two-point boundary value problems accurately by a third derivative hybrid block integrator

Cites Work

• Block boundary value methods for linear Hamiltonian systems
• The canonicity of mappings generated by Runge-Kutta type methods when integrating the systems
• Numerical Integrators that Preserve Symmetries and Reversing Symmetries
• Error growth in the numerical integration of periodic orbits by multistep methods, with application to reversible systems
• A special stability problem for linear multistep methods
• Conservation of integrals and symplectic structure in the integration of differential equations by multistep methods
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