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Poisson Integrators Based on Splitting Method for Poisson Systems
Zhu, Beibei1; Ji, Lun2,3; Zhu, Aiqing2,3; Tang, Yifa2,3
2022-10-01
Source PublicationCOMMUNICATIONS IN COMPUTATIONAL PHYSICS
ISSN1815-2406
Volume32Issue:4Pages:1129-1155
AbstractWe 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.
KeywordPoisson systems Poisson integrators splitting method energy conservation
DOI10.4208/cicp.OA-2022-0144
Indexed BySCI
Language英语
Funding ProjectNational Natural Science Foundation of China ; [11901564] ; [12171466]
WOS Research AreaPhysics
WOS SubjectPhysics, Mathematical
WOS IDWOS:000882773300008
PublisherGLOBAL SCIENCE PRESS
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/60632
Collection中国科学院数学与系统科学研究院
Corresponding AuthorTang, Yifa
Affiliation1.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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