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

doi:10.3934/dcdsb.2019120

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	CONVERGENCE ANALYSIS OF A SYMPLECTIC SEMI-DISCRETIZATION FOR STOCHASTIC NLS EQUATION WITH QUADRATIC POTENTIAL
	Hong, Jialin1,4 ; Miao, Lijun 3; Zhang, Liying 2
刊名	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
	2019-08-01
卷号	24 期号:8 页码:4295-4315
关键词	Stochastic nonlinear Schrodinger equation quadratic potential additive noise stochastic symplectic scheme convergence analysis
ISSN号	1531-3492
DOI	10.3934/dcdsb.2019120
英文摘要	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.
资助项目	NNSFC[11601514] ; NNSFC[11801556] ; NNSFC[11771444] ; NNSFC[91530118] ; NNSFC[11290142] ; NNSFC[91630312]
WOS研究方向	Mathematics
语种	英语
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
WOS记录号	WOS:000473268000040
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/35078]
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.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.China Univ Min & Technol, Coll Sci, Dept Math, Beijing 100083, Peoples R China 3.Liaoning Normal Univ, Sch Math, Dalian 116029, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, 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.