Poisson Integrators Based on Splitting Method for Poisson Systems

doi:10.4208/cicp.OA-2022-0144

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	Poisson Integrators Based on Splitting Method for Poisson Systems
	Zhu, Beibei 1; Ji, Lun 2,3; Zhu, Aiqing 2,3; Tang, Yifa 2,3
	2022-10-01
发表期刊	COMMUNICATIONS IN COMPUTATIONAL PHYSICS
ISSN	1815-2406
卷号	32 期号:4 页码:1129-1155
摘要	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.
关键词	Poisson systems Poisson integrators splitting method energy conservation
DOI	10.4208/cicp.OA-2022-0144
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China ; [11901564] ; [12171466]
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000882773300008
出版者	GLOBAL SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60632
专题	中国科学院数学与系统科学研究院
通讯作者	Tang, Yifa
作者单位	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
推荐引用方式 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.