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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
作者:
Zhao, Yue
;
Mao, Zhiping
;
Guo, Ling
;
Tang, Yifa
;
Karniadakis, George Em
收藏
  |  
浏览/下载:13/0
  |  
提交时间:2023/02/07
Uncertainty quantification
Anomalous transport
Quasi Monte Carlo simulation
Generalized polynomial chaos
Long-time integration
Poly-fractonomials
Linearization of nonlinear Fokker-Planck equations and applications
期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 卷号: 322, 页码: 1-37
作者:
Ren, Panpan
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  |  
浏览/下载:8/0
  |  
提交时间:2023/02/07
Nonlinear Fokker-Planck equation
McKean-Vlasov stochastic differential equation
Diffusion process
Ergodicity
Feynman-Kac formula
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
作者:
Roeckner, Michael
;
Xie, Longjie
;
Yang, Li
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  |  
浏览/下载:14/0
  |  
提交时间:2022/04/29
Stochastic hyperbolic-parabolic equations
Averaging principle
Strong and weak convergence
Homogenization
AN EFFICIENT MULTIMODES MONTE CARLO HOMOGENIZATION METHOD FOR RANDOM MATERIALS
期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2022, 卷号: 44, 期号: 3, 页码: A1752-A1774
作者:
Yang, Zihao
;
Huang, Jizu
;
Feng, Xiaobing
;
Guan, Xiaofei
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  |  
浏览/下载:2/0
  |  
提交时间:2023/02/07
stochastic homogenization
multimodes Monte Carlo method
finite element method
convergence and error estimates
random composite materials
Analyzing and modeling sub-diffusive transport of bedload along a heterogeneous gravel bed using stochastic and statistical methods
期刊论文
JOURNAL OF HYDROLOGY, 2021, 卷号: 596, 页码: 13
作者:
Li, ZhiPeng
;
Chen, Dong
;
Sun, HongGuang
;
Meng, ZhenZhu
;
Zhang, Yong
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  |  
浏览/下载:57/0
  |  
提交时间:2021/08/19
Bedload transport
Sub-diffusive
Heterogeneous gravel bed
Random walk
Stochastic model
Convergence, boundedness, and ergodicity of regime-switching diffusion processes with infinite memory
期刊论文
FRONTIERS OF MATHEMATICS IN CHINA, 2021, 卷号: 16, 期号: 2, 页码: 499-523
作者:
Li, Jun
;
Xi, Fubao
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  |  
浏览/下载:14/0
  |  
提交时间:2021/10/14
Regime-switching diffusion process
infinite memory
convergence
boundedness
Feller property
invariant measure
Wasserstein distance
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
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  |  
浏览/下载:15/0
  |  
提交时间:2021/01/14
Stochastic Cahn-Hilliard equation
Unbounded noise diffusion
Malliavin calculus
Numerical approximation
Strong convergence rate
An Efficient Numerical Algorithm for Solving Data Driven Feedback Control Problems
期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2020, 卷号: 85, 期号: 2, 页码: 27
作者:
Archibald, Richard
;
Bao, Feng
;
Yong, Jiongmin
;
Zhou, Tao
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  |  
浏览/下载:7/0
  |  
提交时间:2021/01/14
Stochastic optimal control
Nonlinear filtering
Data driven
Maximum principle
Stochastic optimization
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
作者:
Barbu, Viorel
;
Roeckner, Michael
收藏
  |  
浏览/下载:4/0
  |  
提交时间:2021/01/14
Fokker-Planck equation
Mild solution
Distributional solution
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:47/0
  |  
提交时间:2020/06/30
Cox-Ingersoll-Ross model
Fractional Brownian motion
Backward Euler scheme
Optimal strong convergence rate
Malliavin calculus
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