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题名: Difference discrete variational principles, Euler-Lagrange cohomology and symplectic, multisymplectic structures III: Application to symplectic and multisymplectic algorithms
作者: Guo, HY ;  Li, YQ ;  Wu, K ;  Wang, SK
刊名: COMMUNICATIONS IN THEORETICAL PHYSICS
出版日期: 2002
卷号: 37, 期号:3, 页码:257-264
学科分类: Physics
通讯作者: Guo, HY , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
部门归属: Acad Sinica, Inst Theoret Phys, Beijing 100080, Peoples R China; Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China; Acad Sinica, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China
英文摘要: In the previous papers I and II, we have studied the difference discrete variational principle and the Euler-Lagrange cohomology in the framework of multi-parameter differential approach. We have gotten the difference discrete Euler-Lagrange equations and canonical ones for the difference discrete versions of classical mechanics and held theory as well as the difference discrete versions for the Euler Lagrange cohomology and applied them to get the necessary and sufficient condition for the symplectic or multisymplectic geometry preserving properties in both the Lagrangian and Hamiltonian formalisms. In this paper, we apply the difference discrete variational principle and Euler-Lagrange cohomological approach directly to the symplectic and multisymplectic algorithms, We will show that either Hamiltonian schemes or Lagrangian ones in both the symplectic and multisymplectic algorithms are variational integrators and their difference discrete symplectic structure-preserving properties can always be established not only in the solution space but also in the function space if and only if the related closed Euler-Lagrange cohomological conditions are satisfied.
收录类别: SCI
原文出处: 查看原文
WOS记录号: WOS:000174671700001
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/13565
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:
Guo, HY,Li, YQ,Wu, K,et al. Difference discrete variational principles, Euler-Lagrange cohomology and symplectic, multisymplectic structures III: Application to symplectic and multisymplectic algorithms[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2002,37(3):257-264.
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