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Difference discrete variational principle in discrete mechanics and symplectic algorithm
Luo, XD; Guo, HY; Li, YQ; Wu, K; Luo, XD , Shanghai Jiao Tong Univ, Dept Phys, Shanghai 200030, Peoples R China.
2004
发表期刊COMMUNICATIONS IN THEORETICAL PHYSICS
ISSN0253-6102
卷号42期号:3页码:443-452
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.
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
关键词Euler-lagrange Cohomology Multisymplectic Structures Integrators Versions
学科领域Physics
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收录类别SCI
WOS记录号WOS:000224048700026
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被引频次:5[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/14002
专题理论物理所1978-2010年知识产出
通讯作者Luo, XD , Shanghai Jiao Tong Univ, Dept Phys, Shanghai 200030, Peoples R China.
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GB/T 7714
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.
APA Luo, XD,Guo, HY,Li, YQ,Wu, K,&Luo, XD , Shanghai Jiao Tong Univ, Dept Phys, Shanghai 200030, Peoples R China..(2004).Difference discrete variational principle in discrete mechanics and symplectic algorithm.COMMUNICATIONS IN THEORETICAL PHYSICS,42(3),443-452.
MLA Luo, XD,et al."Difference discrete variational principle in discrete mechanics and symplectic algorithm".COMMUNICATIONS IN THEORETICAL PHYSICS 42.3(2004):443-452.
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