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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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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:66/0
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Submit date:2021/10/26
Weak convergence
Invariant measure
Kolmogorov equation
Malliavin calculus
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:92/0
  |  
Submit date:2021/04/26
stochastic symplectic methods
superiority
large deviations principle
rate function
asymptotical preservation
Absolute continuity and numerical approximation of stochastic Cahn-Hilliard equation with unbounded noise diffusion
期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 卷号: 269, 期号: 11, 页码: 10143-10180
Authors:
Cui, Jianbo
;
Hong, Jialin
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View/Download:70/0
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Submit date:2021/01/14
Stochastic Cahn-Hilliard equation
Unbounded noise diffusion
Malliavin calculus
Numerical approximation
Strong convergence rate
Energy and quadratic invariants preserving (EQUIP) multi-symplectic methods for Hamiltonian wave equations
期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 卷号: 418, 页码: 18
Authors:
Chen, Chuchu
;
Hong, Jialin
;
Sim, Chol
;
Sonwu, Kwang
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View/Download:96/0
  |  
Submit date:2020/10/12
Hamiltonian wave equations
Energy preservation
EQUIP multi-symplectic methods
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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View/Download:86/0
  |  
Submit date:2020/06/30
Optimal strong convergence rate of a backward Euler type scheme for the Cox-Ingersoll-Ross model driven by fractional Brownian motion
期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2020, 卷号: 130, 期号: 5, 页码: 2675-2692
Authors:
Hong, Jialin
;
Huang, Chuying
;
Kamrani, Minoo
;
Wang, Xu
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View/Download:103/0
  |  
Submit date:2020/06/30
Cox-Ingersoll-Ross model
Fractional Brownian motion
Backward Euler scheme
Optimal strong convergence rate
Malliavin calculus
Drift-preserving numerical integrators for stochastic Hamiltonian systems
期刊论文
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2020, 卷号: 46, 期号: 2, 页码: 22
Authors:
Chen, Chuchu
;
Cohen, David
;
D'Ambrosio, Raffaele
;
Lang, Annika
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View/Download:96/0
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Submit date:2020/05/24
Stochastic differential equations
Stochastic Hamiltonian systems
Energy
Trace formula
Numerical schemes
Strong convergence
Weak convergence
Multilevel Monte Carlo
Modified averaged vector field methods preserving multiple invariants for conservative stochastic differential equations
期刊论文
BIT NUMERICAL MATHEMATICS, 2020, 页码: 41
Authors:
Chen, Chuchu
;
Hong, Jialin
;
Jin, Diancong
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View/Download:80/0
  |  
Submit date:2020/05/24
Stochastic differential equations
Invariants
Conservative methods
Mean square convergence order
Quadrature formula
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:144/0
  |  
Submit date:2020/01/10
Stochastic nonlinear Schrodinger equation
multiplicative noise
global existence
blow-up
exponential integrability
Strong convergence rates of semidiscrete splitting approximations for the stochastic Allen-Cahn equation
期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2019, 卷号: 39, 期号: 4, 页码: 2096-2134
Authors:
Brehier, Charles-Edouard
;
Cui, Jianbo
;
Hong, Jialin
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View/Download:118/0
  |  
Submit date:2020/01/10
stochastic Allen-Cahn equation
splitting scheme
strong convergence rate
exponential integrability