Globally conservative properties and error estimation of a multi-symplectic scheme for Schrodinger equations with variable coefficients
文献类型：期刊论文
| 作者 | Hong, JL ; Liu, Y; Munthe-Kaas, H; Zanna, A
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| 刊名 | APPLIED NUMERICAL MATHEMATICS
 |
| 出版日期 | 2006-06-01 |
| 卷号 | 56期号:6页码:814-843 |
| 关键词 | Schrodinger equations conservation laws error estimation global energy transit multi-symplectic integrators |
| ISSN号 | 0168-9274 |
| DOI | 10.1016/j.apnum.2005.06.006 |
| 英文摘要 | Based on the multi-symplecticity of the Schrodinger equations with variable coefficients, we give a multisymplectic numerical scheme, and investigate some conservative properties and error estimation of it. We show that the scheme satisfies discrete normal conservation law corresponding to one possessed by the original equation. and propose global energy transit formulae in temporal direction. We also discuss some discrete properties corresponding to energy conservation laws of the original equations. In numerical experiments, the comparisons with modified Goldberg scheme and Modified Crank-Nicolson scheme are given to illustrate some properties of the multi-symplectic scheme in the numerical implementation, and the global energy transit is monitored due to the scheme does not preserve energy conservation law. Our numerical experiments show the match between theoretical and corresponding numerical results. (c) 2005 IMACS. Published by Elsevier B.V. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000237135600005 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3512]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Hong, JL |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China 2.Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China 3.Inst Informat, N-5020 Bergen, Norway |
| 推荐引用方式 GB/T 7714 | Hong, JL,Liu, Y,Munthe-Kaas, H,et al. Globally conservative properties and error estimation of a multi-symplectic scheme for Schrodinger equations with variable coefficients[J]. APPLIED NUMERICAL MATHEMATICS,2006,56(6):814-843. |
| APA | Hong, JL,Liu, Y,Munthe-Kaas, H,&Zanna, A.(2006).Globally conservative properties and error estimation of a multi-symplectic scheme for Schrodinger equations with variable coefficients.APPLIED NUMERICAL MATHEMATICS,56(6),814-843. |
| MLA | Hong, JL,et al."Globally conservative properties and error estimation of a multi-symplectic scheme for Schrodinger equations with variable coefficients".APPLIED NUMERICAL MATHEMATICS 56.6(2006):814-843. |
入库方式： OAI收割
来源：数学与系统科学研究院
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