中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
首页 机构 成果 学者
  
  1. CAS IR Grid
  2. 数学与系统科学研究院
  3. 中国科学院数学与系统科学研究院
  4. 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

文献类型：期刊论文

作者Hong, Jialin1,4; Miao, Lijun3; Zhang, Liying2
刊名DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
出版日期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
DOI10.3934/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
WOS记录号WOS:000473268000040
出版者AMER INST MATHEMATICAL SCIENCES-AIMS
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.

入库方式： OAI收割

来源：数学与系统科学研究院

浏览0
下载0
收藏0
其他版本

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。