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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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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:92/0
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Submit date:2022/04/29
Large deviations principle
Symplectic discretizations
Stochastic Schrodinger equation
Rate function
Exponential tightness
Energy-preserving fully-discrete schemes for nonlinear stochastic wave equations with multiplicative noise
期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 451, 页码: 20
Authors:
Hong, Jialin
;
Hou, Baohui
;
Sun, Liying
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View/Download:89/0
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Submit date:2022/04/29
Compact finite difference method
Interior penalty discontinuous Galerkin finite element method
Pade approximation
Averaged energy evolution law
Stochastic wave equation
Multiplicative noise
Weak convergence and invariant measure of a full discretization for parabolic SPDEs with non-globally Lipschitz coefficients
期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2021, 卷号: 134, 页码: 55-93
Authors:
Cui, Jianbo
;
Hong, Jialin
;
Sun, Liying
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View/Download:86/0
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Submit date:2021/10/26
Weak convergence
Invariant measure
Kolmogorov equation
Malliavin calculus
Structure-Preserving Numerical Methods for Stochastic Poisson Systems
期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021, 卷号: 29, 期号: 3, 页码: 802-830
Authors:
Hong, Jialin
;
Ruan, Jialin
;
Sun, Liying
;
Wang, Lijin
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View/Download:101/0
  |  
Submit date:2021/04/26
Stochastic Poisson systems
Poisson structure
Casimir functions
Poisson integrators
symplectic integrators
generating functions
stochastic rigid body system
ASYMPTOTICALLY-PRESERVING LARGE DEVIATIONS PRINCIPLES BY STOCHASTIC SYMPLECTIC METHODS FOR A LINEAR STOCHASTIC OSCILLATOR
期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021, 卷号: 59, 期号: 1, 页码: 32-59
Authors:
Chen, Chuchu
;
Hong, Jialing
;
Jin, Diancong
;
Sun, Liying
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View/Download:113/0
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Submit date:2021/04/26
stochastic symplectic methods
superiority
large deviations principle
rate function
asymptotical preservation
STRONG CONVERGENCE OF FULL DISCRETIZATION FOR STOCHASTIC CAHN-HILLIARD EQUATION DRIVEN BY ADDITIVE NOISE
期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021, 卷号: 59, 期号: 6, 页码: 2866-2899
Authors:
Cui, Jianbo
;
Hong, Jialin
;
Sun, Liying
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Submit date:2022/04/02
stochastic Cahn-Hilliard equation
spectral Galerkin method
accelarated implicit Euler method
strong convergence rate
Exponential integrators for stochastic Maxwell?s equations driven by It? noise
期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 卷号: 410, 页码: 21
Authors:
Cohen, David
;
Cui, Jianbo
;
Hong, Jialin
;
Sun, Liying
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Submit date:2020/06/30
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:169/0
  |  
Submit date:2020/01/10
Stochastic nonlinear Schrodinger equation
multiplicative noise
global existence
blow-up
exponential integrability
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:85/0
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Submit date:2018/07/30
stochastic Langevin equation
conformal symplectic scheme
generating function
ergodicity
weak convergence
Modified equations for weakly convergent stochastic symplectic schemes via their generating functions
期刊论文
BIT NUMERICAL MATHEMATICS, 2016, 卷号: 56, 期号: 3, 页码: 1131-1162
Authors:
Wang, Lijin
;
Hong, Jialin
;
Sun, Liying
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View/Download:59/0
  |  
Submit date:2018/07/30
Stochastic backward error analysis
Stochastic modified equations
Stochastic symplectic methods
Stochastic Hamiltonian systems
Stochastic generating functions