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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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CLT for approximating ergodic limit of SPDEs via a full discretization
期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2023, 卷号: 157, 页码: 1-41
Authors:
Chen, Chuchu
;
Dang, Tonghe
;
Hong, Jialin
;
Zhou, Tau
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View/Download:84/0
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Submit date:2023/02/07
Central limit theorem
Stochastic partial differential equation
Full discretization
Poisson equation
Ergodic limit
Numerical computation of probabilities for nonlinear SDEs in high dimension using Kolmogorov equation br
期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2023, 卷号: 436, 页码: 17
Authors:
Flandoli, Franco
;
Luo, Dejun
;
Ricci, Cristiano
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View/Download:29/0
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Submit date:2023/02/07
High dimensional Kolmogorov equation
Numerical solution
Iteration scheme
Gaussian process
Optimal Holder continuity and hitting probabilities for SPDEs with rough fractional noises
期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 卷号: 512, 期号: 1, 页码: 21
Authors:
Hong, Jialin
;
Liu, Zhihui
;
Sheng, Derui
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View/Download:27/0
  |  
Submit date:2023/02/07
Stochastic partial differential equation
Fractional Brownian sheet
Hurst index H < 1/2
Holder exponent
Hitting probability
A spectral method for stochastic fractional PDEs using dynamically-orthogonal/bi-orthogonal decomposition
期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 461, 页码: 17
Authors:
Zhao, Yue
;
Mao, Zhiping
;
Guo, Ling
;
Tang, Yifa
;
Karniadakis, George Em
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View/Download:28/0
  |  
Submit date:2023/02/07
Uncertainty quantification
Anomalous transport
Quasi Monte Carlo simulation
Generalized polynomial chaos
Long-time integration
Poly-fractonomials
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:64/0
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Submit date:2022/06/21
density
convergence order
accelerated exponential Euler scheme
stochastic heat equation
Malliavin calculus
Averaging principle and normal deviations for multi-scale stochastic hyperbolic-parabolic equations
期刊论文
STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS, 2022, 页码: 39
Authors:
Roeckner, Michael
;
Xie, Longjie
;
Yang, Li
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View/Download:81/0
  |  
Submit date:2022/04/29
Stochastic hyperbolic-parabolic equations
Averaging principle
Strong and weak convergence
Homogenization
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:87/0
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Submit date:2021/10/26
Weak convergence
Invariant measure
Kolmogorov equation
Malliavin calculus
A numerical approach to Kolmogorov equation in high dimension based on Gaussian analysis
期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 卷号: 493, 期号: 1, 页码: 29
Authors:
Flandoli, Franco
;
Luo, Dejun
;
Ricci, Cristiano
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View/Download:147/0
  |  
Submit date:2021/01/14
Kolmogorov equation
Numerical solution
Iteration schema
Gaussian process
Uniqueness for nonlinear Fokker-Planck equations and weak uniqueness for McKean-Vlasov SDEs
期刊论文
STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS, 2020, 页码: 12
Authors:
Barbu, Viorel
;
Roeckner, Michael
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View/Download:96/0
  |  
Submit date:2021/01/14
Fokker-Planck equation
Mild solution
Distributional solution
Review and new theoretical perspectives on active disturbance rejection control for uncertain finite-dimensional and infinite-dimensional systems
期刊论文
NONLINEAR DYNAMICS, 2020, 页码: 25
Authors:
Wu, Ze-Hao
;
Zhou, Hua-Cheng
;
Guo, Bao-Zhu
;
Deng, Feiqi
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View/Download:121/0
  |  
Submit date:2020/09/23
Active disturbance rejection control
Extended state observer
Boundary control
Disturbance
Stochastic systems
Infinite-dimensional systems
Fractional-order PDE