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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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Linearization of nonlinear Fokker-Planck equations and applications
期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 卷号: 322, 页码: 1-37
Authors:
Ren, Panpan
;
Roeckner, Michael
;
Wang, Feng-Yu
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View/Download:28/0
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Submit date:2023/02/07
Nonlinear Fokker-Planck equation
McKean-Vlasov stochastic differential equation
Diffusion process
Ergodicity
Feynman-Kac formula
Large Deviations Principles for Symplectic Discretizations of Stochastic Linear Schrodinger Equation
期刊论文
POTENTIAL ANALYSIS, 2022, 页码: 41
Authors:
Chen, Chuchu
;
Hong, Jialin
;
Jin, Diancong
;
Sun, Liying
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View/Download:94/0
  |  
Submit date:2022/04/29
Large deviations principle
Symplectic discretizations
Stochastic Schrodinger equation
Rate function
Exponential tightness
Layer-Splitting Methods for Time-Dependent Schrodinger Equations of Incommensurate Systems
期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021, 卷号: 30, 期号: 5, 页码: 1474-1498
Authors:
Wang, Ting
;
Chen, Huajie
;
Zhou, Aihui
;
Zhou, Yuzhi
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View/Download:86/0
  |  
Submit date:2022/04/02
Incommensurate system
time-dependent Schrodinger equation
time stepping scheme
A WONG-ZAKAI THEOREM FOR THE STOCHASTIC MASS-CRITICAL NONLINEAR SCHRODINGER EQUATION
期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2021, 卷号: 53, 期号: 3, 页码: 3681-3715
Authors:
Fan, Chenjie
;
Xu, Weijun
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View/Download:85/0
  |  
Submit date:2021/10/26
Wong-Zakai
mass-critical
stochastic NLS
ON GLOBAL EXISTENCE AND BLOW-UP FOR DAMPED STOCHASTIC NONLINEAR SCHRODINGER EQUATION
期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2019, 卷号: 24, 期号: 12, 页码: 6837-6854
Authors:
Cui, Jianbo
;
Hong, Jialin
;
Sun, Liying
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View/Download:171/0
  |  
Submit date:2020/01/10
Stochastic nonlinear Schrodinger equation
multiplicative noise
global existence
blow-up
exponential integrability
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:131/0
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Submit date:2020/01/10
Stochastic nonlinear Schrodinger equation
quadratic potential
additive noise
stochastic symplectic scheme
convergence analysis
Strong convergence rate of splitting schemes for stochastic nonlinear Schrodinger equations
期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 卷号: 266, 期号: 9, 页码: 5625-5663
Authors:
Cui, Jianbo
;
Hong, Jialin
;
Liu, Zhihui
;
Zhou, Weien
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View/Download:128/0
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Submit date:2019/03/11
Stochastic nonlinear Schrodinger equation
Strong convergence rate
Exponential integrability
Splitting scheme
Non-monotone coefficients
PARAREAL EXPONENTIAL theta-SCHEME FOR LONGTIME SIMULATION OF STOCHASTIC SCHRODINGER EQUATIONS WITH WEAK DAMPING
期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2019, 卷号: 41, 期号: 6, 页码: B1155-B1177
Authors:
Hong, Jialin
;
Wang, Xu
;
Zhang, Liying
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View/Download:105/0
  |  
Submit date:2020/09/23
stochastic Schrodinger equation
parareal algorithm
exponential theta-scheme
invariant measure
ANALYSIS OF A SPLITTING SCHEME FOR DAMPED STOCHASTIC NONLINEAR SCHRODINGER EQUATION WITH MULTIPLICATIVE NOISE
期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2018, 卷号: 56, 期号: 4, 页码: 2045-2069
Authors:
Cui, Jianbo
;
Hong, Jialin
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View/Download:114/0
  |  
Submit date:2018/10/07
damped stochastic nonlinear Schrodinger equation
exponential integrability
strong order
weak order
Kolmogorov equation
Strong convergence rate of finite difference approximations for stochastic cubic Schrodinger equations
期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2017, 卷号: 263, 期号: 7, 页码: 3687-3713
Authors:
Cui, Jianbo
;
Hong, Jialin
;
Liu, Zhihui
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View/Download:97/0
  |  
Submit date:2018/07/30
Stochastic cubic Schrodinger equation
Strong convergence rate
Central difference scheme
Exponential integrability
Continuous dependence