Difference discrete variational principle in discrete mechanics and symplectic algorithm
文献类型：期刊论文
| 作者 | Luo, XD; Guo, HY; Li, YQ; Wu, K; Luo, XD , Shanghai Jiao Tong Univ, Dept Phys, Shanghai 200030, Peoples R China. |
| 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 |
| ISSN号 | 0253-6102 |
| 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. |
| 学科主题 | Physics |
| URL标识 | 查看原文 |
| WOS记录号 | WOS:000224048700026 |
| 公开日期 | 2012-08-30 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/14002]  |
| 专题 | 理论物理研究所_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. |
| 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. |
入库方式： OAI收割
来源：理论物理研究所
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