Local energy- and momentum-preserving schemes for Klein-Gordon-Schrodinger equations and convergence analysis

doi:10.1002/num.22145

	Local energy- and momentum-preserving schemes for Klein-Gordon-Schrodinger equations and convergence analysis
	Cai, Jiaxiang 1,2; Hong, Jialin3 ; Wang, Yushun 2
	2017-07-01
发表期刊	NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
ISSN	0749-159X
卷号	33 期号:4 页码:1329-1351
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
关键词	conservation law convergence analysis Klein-Gordon-Schrodinger equations local structure structure-preserving algorithm
DOI	10.1002/num.22145
语种	英语
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
WOS类目	Mathematics, Applied
WOS记录号	WOS:000400172500015
出版者	WILEY
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/26103
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.