| 高强,彭海军,张洪武,钟万勰.基于哈密顿动力系统新变分原理的保辛算法之三：数值算例[J].计算力学学报,2013,30(4):473~478 |
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| 基于哈密顿动力系统新变分原理的保辛算法之三：数值算例 |
| The symplectic algorithms for Hamiltonian dynamic systems based on a new variational principle part III：the numerical examples |
| 投稿时间：2012-02-10 修订日期：2012-07-15 |
| DOI：10.7511/jslx201304003 |
| 中文关键词: 保辛 哈密顿系统 变分原理 作用量 |
| 英文关键词:symplectic Hamiltonian system variational principle action |
| 基金项目:国家自然科学基金(11272076,10721062);973项目(2011CB711105,2010CB832704);中央高校基本科研业务费专项基金(DUT13LK12)资助项目. |
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| 中文摘要: |
| 文献 给出了四种不同类型的求解哈密顿动力系统的数值方法,并证明了它们的保辛特性。本文将讨论这四类算法的具体数值性能,包括算法的线性稳定性,精度和效率等。 |
| 英文摘要: |
| In References,four types of numerical algorithms were constructed for solving the Hamiltonian dynamic systems and the symplectic property of the algorithms was proven.In this paper,the detailed numerical performance of these four types of methods is discussed,including the linear stability,the precision and the efficiency. |
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