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题名: Difference discrete variational principle in discrete mechanics and symplectic algorithm
作者: Luo, XD ;  Guo, HY ;  Li, YQ ;  Wu, K
刊名: COMMUNICATIONS IN THEORETICAL PHYSICS
出版日期: 2004
卷号: 42, 期号:3, 页码:443-452
关键词: EULER-LAGRANGE COHOMOLOGY ;  MULTISYMPLECTIC STRUCTURES ;  INTEGRATORS ;  VERSIONS
学科分类: Physics
通讯作者: Luo, XD , Shanghai Jiao Tong Univ, Dept Phys, Shanghai 200030, Peoples R China.
部门归属: Shanghai Jiao Tong Univ, Dept Phys, Shanghai 200030, Peoples R China; Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China; Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China
英文摘要: We propose the difference discrete variational principle in discrete mechanics and symplectic algorithm with variable step-length of time in finite duration based upon a noncommutative differential calculus established in this paper. This approach keeps both symplecticity and energy conservation discretely. We show that there exists the discrete version of the Euler-Lagrange cohomology in these discrete systems. We also discuss the solution existence in finite time-length and its site density in continuous limit, and apply our approach to the pendulum with periodic perturbation. The numerical results are satisfactory.
收录类别: SCI
原文出处: 查看原文
WOS记录号: WOS:000224048700026
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/14002
Appears in Collections:理论物理所1978-2010年知识产出_期刊论文

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Recommended Citation:
Luo, XD,Guo, HY,Li, YQ,et al. Difference discrete variational principle in discrete mechanics and symplectic algorithm[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2004,42(3):443-452.
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