Symplectic structure-preserving integrators for the two-dimensional Gross-Pitaevskii equation for BEC

doi:10.1016/j.cam.2011.04.019

	Symplectic structure-preserving integrators for the two-dimensional Gross-Pitaevskii equation for BEC
	Kong, Linghua 1; Hong, Jialin2 ; Fu, Fangfang 3; Chen, Jing 4
	2011-07-01
发表期刊	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN	0377-0427
卷号	235 期号:17 页码:4937-4948
摘要	Symplectic integrators have been developed for solving the two-dimensional Gross-Pitaevskii equation. The equation is transformed into a Hamiltonian form with symplectic structure. Then, symplectic integrators, including the midpoint rule, and a splitting symplectic scheme are developed for treating this equation. It is shown that the proposed codes fulfill the discrete charge conservation law. Furthermore, the global error of the numerical solution is theoretically estimated. The theoretical analysis is supported by some numerical simulations. (C) 2011 Elsevier B.V. All rights reserved.
关键词	Gross-Pitaevskii equation Symplectic integrator Splitting symplectic integrator Conservation laws
DOI	10.1016/j.cam.2011.04.019
语种	英语
资助项目	NNSFC[10901074] ; NNSFC[11021101] ; Provincial Natural Science Foundation of Jiangxi[2008GQS0054] ; Foundation of the Educational Department of Jiangxi Province[GJJ09147] ; Foundation of Jiangxi Normal University[2057] ; Foundation of Jiangxi Normal University[2390] ; State Key Laboratory of Scientific and Engineering Computing, CAS ; Director Innovation Foundation of ICMSEC ; AMSS ; Foundation of CAS ; Special Funds for Major State Basic Research Projects of China[2005CB321701] ; Youth Foundation of Jiangxi Agriculture University[2965]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000293432300004
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/13141
专题	计算数学与科学工程计算研究所
通讯作者	Kong, Linghua
作者单位	1.Jiangxi Normal Univ, Sch Math & Informat Sci, Nanchang 330022, Jiangxi, Peoples R China 2.Chinese Acad Sci, AMSS, State Key Lab Sci & Engn Comp, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China 3.Nanchang Inst Sci & Technol, Basic Teachering Dept, Nanchang 330108, Jiangxi, Peoples R China 4.Jiangxi Agr Univ, Sch Sci, Nanchang 330011, Jiangxi, Peoples R China
推荐引用方式 GB/T 7714	Kong, Linghua,Hong, Jialin,Fu, Fangfang,et al. Symplectic structure-preserving integrators for the two-dimensional Gross-Pitaevskii equation for BEC[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2011,235(17):4937-4948.
APA	Kong, Linghua,Hong, Jialin,Fu, Fangfang,&Chen, Jing.(2011).Symplectic structure-preserving integrators for the two-dimensional Gross-Pitaevskii equation for BEC.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,235(17),4937-4948.
MLA	Kong, Linghua,et al."Symplectic structure-preserving integrators for the two-dimensional Gross-Pitaevskii equation for BEC".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 235.17(2011):4937-4948.