KMS Of Academy of mathematics and systems sciences, CAS
| Poisson Integrators Based on Splitting Method for Poisson Systems | |
| Zhu, Beibei1; Ji, Lun2,3; Zhu, Aiqing2,3; Tang, Yifa2,3 | |
| 2022-10-01 | |
| Source Publication | COMMUNICATIONS IN COMPUTATIONAL PHYSICS
 |
| ISSN | 1815-2406 |
| Volume | 32Issue:4Pages:1129-1155 |
| Abstract | We propose Poisson integrators for the numerical integration of separable Poisson systems. We analyze three situations in which Poisson systems are separated in three ways and Poisson integrators can be constructed by using the splitting method. Numerical results show that the Poisson integrators outperform the higher order non -Poisson integrators in terms of long-term energy conservation and computational cost. The Poisson integrators are also shown to be more efficient than the canonicalized sympletic methods of the same order. |
| Keyword | Poisson systems Poisson integrators splitting method energy conservation |
| DOI | 10.4208/cicp.OA-2022-0144 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China ; [11901564] ; [12171466] |
| WOS Research Area | Physics |
| WOS Subject | Physics, Mathematical |
| WOS ID | WOS:000882773300008 |
| Publisher | GLOBAL SCIENCE PRESS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/60632 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Tang, Yifa |
| Affiliation | 1.Univ Sci & Technol Beijing, Sch Math & Phys, Dept Appl Math, Beijing 100083, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| Recommended Citation GB/T 7714 | Zhu, Beibei,Ji, Lun,Zhu, Aiqing,et al. Poisson Integrators Based on Splitting Method for Poisson Systems[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2022,32(4):1129-1155. |
| APA | Zhu, Beibei,Ji, Lun,Zhu, Aiqing,&Tang, Yifa.(2022).Poisson Integrators Based on Splitting Method for Poisson Systems.COMMUNICATIONS IN COMPUTATIONAL PHYSICS,32(4),1129-1155. |
| MLA | Zhu, Beibei,et al."Poisson Integrators Based on Splitting Method for Poisson Systems".COMMUNICATIONS IN COMPUTATIONAL PHYSICS 32.4(2022):1129-1155. |
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