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Preservation of stability properties near fixed points of linear Hamiltonian systems by symplectic integrators |
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| Authors: | Xiaohua Ding Zaijiu ShangGeng Sun |
| Institution: | a Department of Mathematics, Harbin Institute of Technology(Wei hai), Weihai 264209, PR China b Department of Mathematics, University of California, Irvine, CA 92697, USA c Institute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, PR China |
| Abstract: | Based on reasonable testing model problems, we study the preservation by symplectic Runge-Kutta method (SRK) and symplectic partitioned Runge-Kutta method (SPRK) of structures for fixed points of linear Hamiltonian systems. The structure-preservation region provides a practical criterion for choosing step-size in symplectic computation. Examples are given to justify the investigation. |
| Keywords: | Symplectic Runge-Kutta method Symplectic partitioned Runge-Kutta method Equilibrium structure Composition method Stability |
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