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Luo, XD; Guo, HY; Li, YQ; Wu, K; Luo, XD , Shanghai Jiao Tong Univ, Dept Phys, Shanghai 200030, Peoples R China.
Difference discrete variational principle in discrete mechanics and symplectic algorithm
发表期刊COMMUNICATIONS IN THEORETICAL PHYSICS
关键词Euler-lagrange Cohomology Multisymplectic Structures Integrators Versions
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.
2004
ISSN0253-6102
卷号42期号:3页码:443-452
学科领域Physics
收录类别SCI
引用统计
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
专题理论物理所科研产出_SCI论文
通讯作者Luo, XD , Shanghai Jiao Tong Univ, Dept Phys, Shanghai 200030, Peoples R China.
推荐引用方式
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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