CONVERGENCE ANALYSIS OF A SYMPLECTIC SEMI-DISCRETIZATION FOR STOCHASTIC NLS EQUATION WITH QUADRATIC POTENTIAL

doi:10.3934/dcdsb.2019120

	CONVERGENCE ANALYSIS OF A SYMPLECTIC SEMI-DISCRETIZATION FOR STOCHASTIC NLS EQUATION WITH QUADRATIC POTENTIAL
	Hong, Jialin1,2 ; Miao, Lijun 3; Zhang, Liying 4
	2019-08-01
发表期刊	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
ISSN	1531-3492
卷号	24 期号:8 页码:4295-4315
摘要	In this paper, we investigate the convergence in probability of a stochastic symplectic scheme for stochastic nonlinear Schrodinger equation with quadratic potential and an additive noise. Theoretical analysis shows that our symplectic semi-discretization is of order one in probability under appropriate regularity conditions for the initial value and noise. Numerical experiments are given to simulate the long time behavior of the discrete averaged charge and energy as well as the influence of the external potential and noise, and to test the convergence order.
关键词	Stochastic nonlinear Schrodinger equation quadratic potential additive noise stochastic symplectic scheme convergence analysis
DOI	10.3934/dcdsb.2019120
语种	英语
资助项目	NNSFC[11601514] ; NNSFC[11801556] ; NNSFC[11771444] ; NNSFC[91530118] ; NNSFC[11290142] ; NNSFC[91630312]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000473268000040
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/35079
专题	计算数学与科学工程计算研究所
通讯作者	Miao, Lijun
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Liaoning Normal Univ, Sch Math, Dalian 116029, Peoples R China 4.China Univ Min & Technol, Coll Sci, Dept Math, Beijing 100083, Peoples R China
推荐引用方式 GB/T 7714	Hong, Jialin,Miao, Lijun,Zhang, Liying. CONVERGENCE ANALYSIS OF A SYMPLECTIC SEMI-DISCRETIZATION FOR STOCHASTIC NLS EQUATION WITH QUADRATIC POTENTIAL[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,2019,24(8):4295-4315.
APA	Hong, Jialin,Miao, Lijun,&Zhang, Liying.(2019).CONVERGENCE ANALYSIS OF A SYMPLECTIC SEMI-DISCRETIZATION FOR STOCHASTIC NLS EQUATION WITH QUADRATIC POTENTIAL.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,24(8),4295-4315.
MLA	Hong, Jialin,et al."CONVERGENCE ANALYSIS OF A SYMPLECTIC SEMI-DISCRETIZATION FOR STOCHASTIC NLS EQUATION WITH QUADRATIC POTENTIAL".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 24.8(2019):4295-4315.