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中国科学院数学与系统科学研究院机构知识库
KMS Of Academy of mathematics and systems sciences, CAS
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CONVERGENCE ANALYSIS OF A SYMPLECTIC SEMI-DISCRETIZATION FOR STOCHASTIC NLS EQUATION WITH QUADRATIC POTENTIAL
期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2019, 卷号: 24, 期号: 8, 页码: 4295-4315
Authors:
Hong, Jialin
;
Miao, Lijun
;
Zhang, Liying
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View/Download:15/0
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Submit date:2020/01/10
Stochastic nonlinear Schrodinger equation
quadratic potential
additive noise
stochastic symplectic scheme
convergence analysis
A Compact Scheme for Coupled Stochastic Nonlinear Schrodinger Equations
期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2017, 卷号: 21, 期号: 1, 页码: 93-125
Authors:
Chen, Chuchu
;
Hong, Jialin
;
Ji, Lihai
;
Kong, Linghua
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View/Download:13/0
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Submit date:2018/07/30
Coupled stochastic nonlinear Schrodinger equations
compact scheme
stochastic multi-symplectic conservation law
energy evolution law
charge conservation law
soliton evolution
soliton interaction
NUMERICAL ANALYSIS ON ERGODIC LIMIT OF APPROXIMATIONS FOR STOCHASTIC NLS EQUATION VIA MULTI-SYMPLECTIC SCHEME
期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2017, 卷号: 55, 期号: 1, 页码: 305-327
Authors:
Hong, Jialin
;
Wang, Xu
;
Zhang, Liying
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View/Download:8/0
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Submit date:2018/07/30
stochastic Schriidinger equation
multiplicative noise
unique ergodicity
multisymplectic scheme
weak error
HIGH ORDER CONFORMAL SYMPLECTIC AND ERGODIC SCHEMES FOR THE STOCHASTIC LANGEVIN EQUATION VIA GENERATING FUNCTIONS
期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2017, 卷号: 55, 期号: 6, 页码: 3006-3029
Authors:
Hong, Jialin
;
Sun, Liying
;
Wang, Xu
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View/Download:10/0
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Submit date:2018/07/30
stochastic Langevin equation
conformal symplectic scheme
generating function
ergodicity
weak convergence
SYMPLECTIC RUNGE-KUTTA SEMIDISCRETIZATION FOR STOCHASTIC SCHRODINGER EQUATION
期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2016, 卷号: 54, 期号: 4, 页码: 2569-2593
Authors:
Chen, Chuchu
;
Hong, Jialin
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View/Download:5/0
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Submit date:2018/07/30
stochastic Schrodinger equation
infinite-dimensional stochastic Hamiltonian system
symplectic structure
symplectic Runge-Kutta method
semidiscretization
mean-square convergence order