Symplectic structure-preserving integrators for the two-dimensional Gross-Pitaevskii equation for BEC
文献类型：期刊论文
| 作者 | Kong, Linghua1; Hong, Jialin2 ; Fu, Fangfang3; Chen, Jing4
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| 刊名 | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
 |
| 出版日期 | 2011-07-01 |
| 卷号 | 235期号:17页码:4937-4948 |
| 关键词 | Gross-Pitaevskii equation Symplectic integrator Splitting symplectic integrator Conservation laws |
| ISSN号 | 0377-0427 |
| DOI | 10.1016/j.cam.2011.04.019 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000293432300004 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/13140]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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