Compact and Efficient Conservative Schemes for Coupled Nonlinear Schrodinger Equations

doi:10.1002/num.21969

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	Compact and Efficient Conservative Schemes for Coupled Nonlinear Schrodinger Equations
	Kong, Linghua 1; Hong, Jialin 2; Ji, Lihai 3; Zhu, Pengfei 1
	2015-11-01
发表期刊	NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
ISSN	0749-159X
卷号	31 期号:6 页码:1814-1843
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.
关键词	conservation law computational efficiency coupled nonlinear Schrodinger equation highorder compact method
DOI	10.1002/num.21969
语种	英语
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
WOS类目	Mathematics, Applied
WOS记录号	WOS:000364659400004
出版者	WILEY-BLACKWELL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/21207
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.