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Compact and Efficient Conservative Schemes for Coupled Nonlinear Schrodinger Equations

文献类型：期刊论文

作者Kong, Linghua1; Hong, Jialin2; Ji, Lihai3; Zhu, Pengfei1
刊名NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
出版日期2015-11-01
卷号31期号:6页码:1814-1843
关键词conservation law computational efficiency coupled nonlinear Schrodinger equation highorder compact method
ISSN号0749-159X
DOI10.1002/num.21969
英文摘要In the manuscript, we present several numerical schemes to approximate the coupled nonlinear Schrodinger equations. Three of them are high-order compact and conservative, and the other two are noncompact but conservative. After some numerical analysis, we can find that the schemes are uniquely solvable and convergent. All of them are conservative and stable. By calculating the complexity, we can find that the compact schemes have the same computational cost with the noncompact ones. Numerical illustrations support our analysis. They verify that compact schemes are more efficient than noncompact ones from computation cost and accuracy. (C) 2015 Wiley Periodicals, Inc.
资助项目NNSFC[91130003] ; NNSFC[11301234] ; NNSFC[11271171] ; NNSFC[11021101] ; NNSFC[11290142] ; NNSFC[11471310] ; Provincial Natural Science Foundation of Jiangxi[20142BCB23009] ; State Key Laboratory of Scientific and Engineering Computing, CAS ; Jiangsu Key Lab for NSLSCS[201302]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000364659400004
出版者WILEY-BLACKWELL
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/21206]  
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, AMSS, State Key Lab Sci & Engn Comp, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China
3.Inst Appl Phys & Computat Math, Beijing 100094, Peoples R China
推荐引用方式
GB/T 7714		 Kong, Linghua,Hong, Jialin,Ji, Lihai,et al. Compact and Efficient Conservative Schemes for Coupled Nonlinear Schrodinger Equations[J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS,2015,31(6):1814-1843.
APA Kong, Linghua,Hong, Jialin,Ji, Lihai,&Zhu, Pengfei.(2015).Compact and Efficient Conservative Schemes for Coupled Nonlinear Schrodinger Equations.NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS,31(6),1814-1843.
MLA Kong, Linghua,et al."Compact and Efficient Conservative Schemes for Coupled Nonlinear Schrodinger Equations".NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS 31.6(2015):1814-1843.

入库方式： OAI收割

来源：数学与系统科学研究院

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