计算力学学报Issue(4)：468-472,5.DOI:10.7511/jslx201304002
基于哈密顿动力系统新变分原理的保辛算法之二：算法保辛性质证明
The symplectic algorithms for Hamiltonian dynamic systems based on a new variational principle part II：the proof of the symplecticity
摘要
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 .关键词
保辛/哈密顿系统/变分原理/作用量Key words
symplectic/Hamiltonian system/variational principle/action分类
数理科学引用本文复制引用
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二：算法保辛性质证明[J].计算力学学报,2013,(4):468-472,5.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． （）
