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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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共17条,第1-10条
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语种:英语
资助项目:National Natural Science Foundation of China[11290142]
资助项目:National Natural Science Foundation of China[11021101]
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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
作者:
Cui, Jianbo
;
Hong, Jialin
;
Sun, Liying
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  |  
浏览/下载:128/0
  |  
提交时间:2021/10/26
Weak convergence
Invariant measure
Kolmogorov equation
Malliavin calculus
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
作者:
Cui, Jianbo
;
Hong, Jialin
收藏
  |  
浏览/下载:124/0
  |  
提交时间:2021/01/14
Stochastic Cahn-Hilliard equation
Unbounded noise diffusion
Malliavin calculus
Numerical approximation
Strong convergence rate
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
作者:
Hong, Jialin
;
Huang, Chuying
;
Kamrani, Minoo
;
Wang, Xu
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  |  
浏览/下载:157/0
  |  
提交时间:2020/06/30
Cox-Ingersoll-Ross model
Fractional Brownian motion
Backward Euler scheme
Optimal strong convergence rate
Malliavin calculus
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
作者:
Cui, Jianbo
;
Hong, Jialin
;
Sun, Liying
收藏
  |  
浏览/下载:210/0
  |  
提交时间: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
作者:
Brehier, Charles-Edouard
;
Cui, Jianbo
;
Hong, Jialin
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  |  
浏览/下载:171/0
  |  
提交时间:2020/01/10
stochastic Allen-Cahn equation
splitting scheme
strong convergence rate
exponential integrability
Optimal regularity of stochastic evolution equations in M-type 2 Banach space
期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 卷号: 267, 期号: 3, 页码: 1955-1971
作者:
Hong, Jialin
;
Huang, Chuying
;
Liu, Zhihui
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  |  
浏览/下载:187/0
  |  
提交时间:2020/01/10
Stochastic evolution equation
Multiplicative noise
Well-posedness
Trajectory regularity
Factorization method
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
作者:
Cui, Jianbo
;
Hong, Jialin
;
Liu, Zhihui
;
Zhou, Weien
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  |  
浏览/下载:160/0
  |  
提交时间:2019/03/11
Stochastic nonlinear Schrodinger equation
Strong convergence rate
Exponential integrability
Splitting scheme
Non-monotone coefficients
Invariant Measures for Stochastic Nonlinear Schrodinger Equations Numerical Approximations and Symplectic Structures Preface
期刊论文
INVARIANT MEASURES FOR STOCHASTIC NONLINEAR SCHRODINGER EQUATIONS: NUMERICAL APPROXIMATIONS AND SYMPLECTIC STRUCTURES, 2019, 卷号: 2251, 页码: V-+
作者:
Hong, Jialin
;
Wang, Xu
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  |  
浏览/下载:133/0
  |  
提交时间:2020/05/24
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
作者:
Cui, Jianbo
;
Hong, Jialin
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  |  
浏览/下载:169/0
  |  
提交时间:2020/01/10
one-sided Lipschitz coefficient
stochastic Allen-Cahn equation
finite element method
strong and weak convergence rate
Kolmogorov equation
Malliavin calculus
Symplectic Runge-Kutta methods for Hamiltonian systems driven by Gaussian rough paths
期刊论文
APPLIED NUMERICAL MATHEMATICS, 2018, 卷号: 129, 页码: 120-136
作者:
Hong, Jialin
;
Huang, Chuying
;
Wang, Xu
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  |  
浏览/下载:146/0
  |  
提交时间:2018/07/30
Rough path
Hamiltonian system
Symplectic Runge-Kutta method
Implicit method
Pathwlse convergence rate