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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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Accelerated exponential Euler scheme for stochastic heat equation: convergence rate of the density
期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2022, 页码: 40
Authors:
Chen, Chuchu
;
Cui, Jianbo
;
Hong, Jialin
;
Sheng, Derui
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View/Download:58/0
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Submit date:2022/06/21
density
convergence order
accelerated exponential Euler scheme
stochastic heat equation
Malliavin calculus
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:79/0
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Submit date:2021/10/26
Weak convergence
Invariant measure
Kolmogorov equation
Malliavin calculus
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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View/Download:71/0
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Submit date:2022/04/02
stochastic Cahn-Hilliard equation
spectral Galerkin method
accelarated implicit Euler method
strong convergence rate
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:84/0
  |  
Submit date:2021/01/14
Stochastic Cahn-Hilliard equation
Unbounded noise diffusion
Malliavin calculus
Numerical approximation
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:158/0
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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:134/0
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Submit date:2020/01/10
stochastic Allen-Cahn equation
splitting scheme
strong convergence rate
exponential integrability
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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  |  
Submit date:2019/03/11
Stochastic nonlinear Schrodinger equation
Strong convergence rate
Exponential integrability
Splitting scheme
Non-monotone coefficients
STRONG AND WEAK CONVERGENCE RATES OF A SPATIAL APPROXIMATION FOR STOCHASTIC PARTIAL DIFFERENTIAL EQUATION WITH ONE-SIDED LIPSCHITZ COEFFICIENT
期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2019, 卷号: 57, 期号: 4, 页码: 1815-1841
Authors:
Cui, Jianbo
;
Hong, Jialin
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View/Download:124/0
  |  
Submit date:2020/01/10
one-sided Lipschitz coefficient
stochastic Allen-Cahn equation
finite element method
strong and weak convergence rate
Kolmogorov equation
Malliavin calculus
Explicit pseudo-symplectic methods for stochastic Hamiltonian systems
期刊论文
BIT NUMERICAL MATHEMATICS, 2018, 卷号: 58, 期号: 1, 页码: 163-178
Authors:
Niu, Xinyan
;
Cui, Jianbo
;
Hong, Jialin
;
Liu, Zhihui
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View/Download:118/0
  |  
Submit date:2018/07/30
Stochastic Hamiltonian system
Pseudo-symplectic method
Explicit Runge-Kutta method