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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
作者:
Hong, Jialin
;
Liu, Zhihui
;
Sheng, Derui
收藏
  |  
浏览/下载:3/0
  |  
提交时间: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
作者:
Zhao, Yue
;
Mao, Zhiping
;
Guo, Ling
;
Tang, Yifa
;
Karniadakis, George Em
收藏
  |  
浏览/下载:9/0
  |  
提交时间:2023/02/07
Uncertainty quantification
Anomalous transport
Quasi Monte Carlo simulation
Generalized polynomial chaos
Long-time integration
Poly-fractonomials
A fast Euler-Maruyama method for fractional stochastic differential equations
期刊论文
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2022, 页码: 19
作者:
Zhang, Jingna
;
Tang, Yifa
;
Huang, Jianfei
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  |  
浏览/下载:1/0
  |  
提交时间:2023/02/07
Fractional stochastic differential equations
Euler-Maruyama method
Sum-of-exponentials approximation
Strong convergence
Computational efficiency
Optimal rate of convergence for two classes of schemes to stochastic differential equations driven by fractional Brownian motions
期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2021, 卷号: 41, 期号: 2, 页码: 1608-1638
作者:
Hong, Jialin
;
Huang, Chuying
;
Wang, Xu
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  |  
浏览/下载:7/0
  |  
提交时间:2021/10/26
fractional Brownian motion
strong convergence rate
Runge-Kutta method
simplified step-N Euler scheme
Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators
期刊论文
NATURE MACHINE INTELLIGENCE, 2021, 卷号: 3, 期号: 3, 页码: 218-+
作者:
Lu, Lu
;
Jin, Pengzhan
;
Pang, Guofei
;
Zhang, Zhongqiang
;
Karniadakis, George Em
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  |  
浏览/下载:76/0
  |  
提交时间:2021/06/01
Solving the backward problem in Riesz–Feller fractional diffusion by a new nonlocal regularization method.
期刊论文
Applied Numerical Mathematics, 2019, 卷号: Vol.135, 页码: 99-128
作者:
Zheng, GH
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浏览/下载:5/0
  |  
提交时间:2019/12/17
RIESZ spaces
*FRACTIONAL differential equations
*HEAT equation
*STOCHASTIC convergence
*A posteriori error analysis
A class of Hilfer fractional stochastic differential equations and optimal controls
期刊论文
ADVANCES IN DIFFERENCE EQUATIONS, 2019, 卷号: 2019
作者:
Lv, Jingyun
;
Yang, Xiaoyuan
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  |  
浏览/下载:10/0
  |  
提交时间:2019/12/30
Optimal control
Hilfer fractional derivative
Fractional stochastic differential equations
Error estimates of finite element methods for nonlinear fractional stochastic differential equations
期刊论文
ADVANCES IN DIFFERENCE EQUATIONS, 2018
作者:
Zhang, YP
;
Yang, XY
;
Li, XC
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  |  
浏览/下载:2/0
  |  
提交时间:2019/12/26
Nonlinear
fractional
stochastic
differential
equations
Finite
element
method
Error
estimates
Strong
convergence
Initial
value
problem
APPROXIMATE CONTROLLABILITY OF HILFER FRACTIONAL NEUTRAL STOCHASTIC DIFFERENTIAL EQUATIONS
期刊论文
DYNAMIC SYSTEMS AND APPLICATIONS, 2018, 卷号: 27, 页码: 691-713
作者:
Lv, Jingyun
;
Yang, Xiaoyuan
收藏
  |  
浏览/下载:3/0
  |  
提交时间:2019/12/30
approximate controllability
hilfer fractional derivative
fractional stochastic differential equations
Error estimates of finite element methods for nonlinear fractional stochastic differential equations
期刊论文
ADVANCES IN DIFFERENCE EQUATIONS, 2018, 卷号: 2018
作者:
Zhang, Yanpeng
;
Yang, Xiaoyuan
;
Li, Xiaocui
收藏
  |  
浏览/下载:3/0
  |  
提交时间:2019/12/30
Nonlinear fractional stochastic differential equations
Finite element method
Error estimates
Strong convergence
Initial value problem
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