Symplectic integrator for general near-integrable Hamiltonian system

Details Symplectic integrator for general near-integrable Hamiltonian system Symplectic integrator for general near-integrable Hamiltonian system

Sep 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996cemda..66..243l&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 66, Issue 3, pp.243-253

Astronomy and Astrophysics

Astronomy

Hamiltonian System, Inseparable, Nearly Integrable, Implicit Symplectic Integrator

Scientific paper

In this paper, following the idea of constructing the mixed symplectic integrator (MSI) for a separable Hamiltonian system, we give a low order mixed symplectic integrator for an inseparable, but nearly integrable, Hamiltonian system, Although the difference schemes of the integrators are implicit, they not only have a small truncation error but, due to near integrability, also a faster convergence rate of iterative solution than ordinary implicit integrators, Moreover, these second order integrators are time-reversible.

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