KMS Of Academy of mathematics and systems sciences, CAS
| CONVERGENCE ANALYSIS OF A SYMPLECTIC SEMI-DISCRETIZATION FOR STOCHASTIC NLS EQUATION WITH QUADRATIC POTENTIAL | |
Hong, Jialin1,2 ; Miao, Lijun3; Zhang, Liying4
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| 2019-08-01 | |
| Source Publication | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
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| ISSN | 1531-3492 |
| Volume | 24Issue:8Pages:4295-4315 |
| Abstract | 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. |
| Keyword | Stochastic nonlinear Schrodinger equation quadratic potential additive noise stochastic symplectic scheme convergence analysis |
| DOI | 10.3934/dcdsb.2019120 |
| Language | 英语 |
| Funding Project | NNSFC[11601514] ; NNSFC[11801556] ; NNSFC[11771444] ; NNSFC[91530118] ; NNSFC[11290142] ; NNSFC[91630312] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000473268000040 |
| Publisher | AMER INST MATHEMATICAL SCIENCES-AIMS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/35079 |
| Collection | 计算数学与科学工程计算研究所 |
| Corresponding Author | Miao, Lijun |
| Affiliation | 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 |
| Recommended Citation 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. |
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