Symplectic integrator for general near-integrable Hamiltonian system |
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| Authors: | Xinhao Liao |
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| Institution: | (1) Department of Mathematics, Northwestern University, 60208 Evanston, Illinois, U.S.A.;(2) Present address: Department of Astronomy, Nanjing, University, 210093 Nanjing, China |
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| Abstract: | 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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| Keywords: | Hamiltonian system inseparable nearly integrable implicit symplectic integrator |
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