Local energy- and momentum-preserving schemes for Klein-Gordon-Schrodinger equations and convergence analysis
文献类型：期刊论文
| 作者 | Cai, Jiaxiang1,2; Hong, Jialin3 ; Wang, Yushun2
|
| 刊名 | NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2017-07-01 |
| 卷号 | 33期号:4页码:1329-1351 |
| 关键词 | conservation law convergence analysis Klein-Gordon-Schrodinger equations local structure structure-preserving algorithm |
| ISSN号 | 0749-159X |
| DOI | 10.1002/num.22145 |
| 英文摘要 | In this article, we obtain local energy and momentum conservation laws for the Klein-Gordon-Schrodinger equations, which are independent of the boundary condition and more essential than the global conservation laws. Based on the rule that the numerical methods should preserve the intrinsic properties as much as possible, we propose local energy- and momentum-preserving schemes for the equations. The merit of the proposed schemes is that the local energy/momentum conservation law is conserved exactly in any time-space region. With suitable boundary conditions, the schemes will be charge- and energy-/momentum-preserving. Nonlinear analysis shows LEP schemes are unconditionally stable and the numerical solutions converge to the exact solutions with order O(2+h2). The theoretical properties are verified by numerical experiments. (c) 2017 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 33: 1329-1351, 2017 |
| 资助项目 | National Natural Science Foundation of China[11201169] ; National Natural Science Foundation of China[11271195] ; National Natural Science Foundation of China[41231173] ; Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems[201606] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000400172500015 |
| 出版者 | WILEY |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/26102]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Cai, Jiaxiang |
| 作者单位 | 1.Huaiyin Normal Univ, Sch Math Sci, Huaian 223300, Jiangsu, Peoples R China 2.Nanjing Normal Univ, Sch Math Sci, Jiangsu Key Lab NSLSCS, Nanjing 210046, Jiangsu, Peoples R China 3.Chinese Acad Sci, State Key Lab Sci & Engn Comp, Inst Computat Math & Sci Engn Comp, AMSS, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cai, Jiaxiang,Hong, Jialin,Wang, Yushun. Local energy- and momentum-preserving schemes for Klein-Gordon-Schrodinger equations and convergence analysis[J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS,2017,33(4):1329-1351. |
| APA | Cai, Jiaxiang,Hong, Jialin,&Wang, Yushun.(2017).Local energy- and momentum-preserving schemes for Klein-Gordon-Schrodinger equations and convergence analysis.NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS,33(4),1329-1351. |
| MLA | Cai, Jiaxiang,et al."Local energy- and momentum-preserving schemes for Klein-Gordon-Schrodinger equations and convergence analysis".NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS 33.4(2017):1329-1351. |
入库方式： OAI收割
来源：数学与系统科学研究院
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