Multi-symplectic preserving integrator for the Schrodinger equation with wave operator
文献类型：期刊论文
| 作者 | Wang, Lan1; Kong, Linghua1; Zhang, Liying2; Zhou, Wenying1; Zheng, Xiaohong3 |
| 刊名 | APPLIED MATHEMATICAL MODELLING
 |
| 出版日期 | 2015-11-15 |
| 卷号 | 39期号:22页码:6817-6829 |
| 关键词 | Schrodinger equation with wave operator Multi-symplectic integrator Conservation laws |
| ISSN号 | 0307-904X |
| DOI | 10.1016/j.apm.2015.01.068 |
| 英文摘要 | In this article, we discuss the conservation laws for the nonlinear Schrodinger equation with wave operator under multi-symplectic integrator (MI). First, the conservation laws of the continuous equation are presented and one of them is new. The multi-symplectic structure and MI are constructed for the equation. The discrete conservation laws of the numerical method are analyzed. It is verified that the proposed MI can stably simulate the Hamiltonian PDEs excellently over long-term. It is more accurate than some energypreserving schemes though they are of the same accuracy. Moreover, the residual of mass is less than energy-preserving schemes under the same mesh partition in a long time. (C) 2015 Elsevier Inc. All rights reserved. |
| 资助项目 | National Natural Science Foundation of China[11271171] ; National Natural Science Foundation of China[11301234] ; National Natural Science Foundation of China[91130003] ; Provincial Natural Science Foundation of Jiangxi[20142BCB23009] ; Foundation of Department of Education Jiangxi Province[GJJ12174] ; State Key Laboratory of Scientific and Engineering Computing, CAS ; Jiangsu Key Lab for NSLSCS[201302] |
| WOS研究方向 | Engineering ; Mathematics ; Mechanics |
| 语种 | 英语 |
| WOS记录号 | WOS:000365371300006 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/21312]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 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, State Key Lab Sci & Engn Comp, Inst Computat Math & Sci Engn Comp, AMSS, Beijing 100190, Peoples R China 3.Guangdong AIB Polytech Coll, Fdn Dept, Guangzhou 510507, Guangdong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wang, Lan,Kong, Linghua,Zhang, Liying,et al. Multi-symplectic preserving integrator for the Schrodinger equation with wave operator[J]. APPLIED MATHEMATICAL MODELLING,2015,39(22):6817-6829. |
| APA | Wang, Lan,Kong, Linghua,Zhang, Liying,Zhou, Wenying,&Zheng, Xiaohong.(2015).Multi-symplectic preserving integrator for the Schrodinger equation with wave operator.APPLIED MATHEMATICAL MODELLING,39(22),6817-6829. |
| MLA | Wang, Lan,et al."Multi-symplectic preserving integrator for the Schrodinger equation with wave operator".APPLIED MATHEMATICAL MODELLING 39.22(2015):6817-6829. |
入库方式： OAI收割
来源：数学与系统科学研究院
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