Splitting K-symplectic methods for non-canonical separable Hamiltonian problems

doi:10.1016/j.jcp.2016.06.044

	Splitting K-symplectic methods for non-canonical separable Hamiltonian problems
	Zhu, Beibei 1; Zhang, Ruili 2; Tang, Yifa1 ; Tu, Xiongbiao 1; Zhao, Yue 1
	2016-10-01
发表期刊	JOURNAL OF COMPUTATIONAL PHYSICS
ISSN	0021-9991
卷号	322 页码:387-399
摘要	Non-canonical Hamiltonian systems have K-symplectic structures which are preserved by K-symplectic numerical integrators. There is no universal method to construct K-symplectic integrators for arbitrary non-canonical Hamiltonian systems. However, in many cases of interest, by using splitting, we can construct explicit K-symplectic methods for separable non-canonical systems. In this paper, we identify situations where splitting K-symplectic methods can be constructed. Comparative numerical experiments in three non-canonical Hamiltonian problems show that symmetric/non-symmetric splitting K-symplectic methods applied to the non-canonical systems are more efficient than the same-order Gauss' methods/non-symmetric symplectic methods applied to the corresponding canonicalized systems; for the non-canonical Lotka-Volterra model, the splitting algorithms behave better in efficiency and energy conservation than the K-symplectic method we construct via generating function technique. In our numerical experiments, the favorable energy conservation property of the splitting K-symplectic methods is apparent. (C) 2016 Elsevier Inc. All rights reserved.
关键词	K-symplectic methods Splitting algorithms Gauss' methods Generating function methods
DOI	10.1016/j.jcp.2016.06.044
语种	英语
资助项目	National Natural Science Foundation of China[11371357] ; ITER-China Program[2014GB124005]
WOS研究方向	Computer Science ; Physics
WOS类目	Computer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS记录号	WOS:000381585100020
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/23353
专题	计算数学与科学工程计算研究所
通讯作者	Tang, Yifa
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 2.Univ Sci & Technol China, Ctr Adv Fus Energy & Plasma Sci, Dept Modern Phys & Collaborat Innovat, Hefei 230026, Anhui, Peoples R China
推荐引用方式 GB/T 7714	Zhu, Beibei,Zhang, Ruili,Tang, Yifa,et al. Splitting K-symplectic methods for non-canonical separable Hamiltonian problems[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2016,322:387-399.
APA	Zhu, Beibei,Zhang, Ruili,Tang, Yifa,Tu, Xiongbiao,&Zhao, Yue.(2016).Splitting K-symplectic methods for non-canonical separable Hamiltonian problems.JOURNAL OF COMPUTATIONAL PHYSICS,322,387-399.
MLA	Zhu, Beibei,et al."Splitting K-symplectic methods for non-canonical separable Hamiltonian problems".JOURNAL OF COMPUTATIONAL PHYSICS 322(2016):387-399.