Difference discrete variational principles, Euler-Lagrange cohomology and symplectic, multisymplectic structures III: Application to symplectic and multisymplectic algorithms
文献类型：期刊论文
| 作者 | Guo, HY; Li, YQ; Wu, K; Wang, SK |
| 刊名 | COMMUNICATIONS IN THEORETICAL PHYSICS
 |
| 出版日期 | 2002-03-15 |
| 卷号 | 37期号:3页码:257-264 |
| 关键词 | discrete variation Euler-Lagrange cohomology symplectic algorithm multisymplectic algorithm |
| ISSN号 | 0253-6102 |
| 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. |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000174671700001 |
| 出版者 | INT ACADEMIC PUBL |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/17519]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Guo, HY |
| 作者单位 | 1.Acad Sinica, Inst Theoret Phys, Beijing 100080, Peoples R China 2.Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China 3.Acad Sinica, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | 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. |
| APA | Guo, HY,Li, YQ,Wu, K,&Wang, SK.(2002).Difference discrete variational principles, Euler-Lagrange cohomology and symplectic, multisymplectic structures III: Application to symplectic and multisymplectic algorithms.COMMUNICATIONS IN THEORETICAL PHYSICS,37(3),257-264. |
| MLA | Guo, HY,et al."Difference discrete variational principles, Euler-Lagrange cohomology and symplectic, multisymplectic structures III: Application to symplectic and multisymplectic algorithms".COMMUNICATIONS IN THEORETICAL PHYSICS 37.3(2002):257-264. |
入库方式： OAI收割
来源：数学与系统科学研究院
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