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| The symplectic algorithms for Hamiltonian dynamic systems based on a new variational principle part II：the proof of the symplecticity |
| Received:February 10, 2012 Revised:July 15, 2012 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx201304002 |
| KeyWord:symplectic Hamiltonian system variational principle action |
| Author | Institution |
| 高强 |
大连理工大学 工业装备结构分析国家重点实验室,工程力学系,大连 |
| 彭海军 |
大连理工大学 工业装备结构分析国家重点实验室,工程力学系,大连 |
| 张洪武 |
大连理工大学 工业装备结构分析国家重点实验室,工程力学系,大连 |
| 钟万勰 |
大连理工大学 工业装备结构分析国家重点实验室,工程力学系,大连 |
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| Abstract: |
| In Reference [1],a new variational principle for the finite dimensional autonomous Hamiltonian systems was proposed.Based on this new variational principle and by taking generalized coordinates or momenta as independent variables at each end of the time step,four types of numerical algorithms were constructed.In this paper,the proof of symplectic property of the four of numerical algorithms is given. |
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