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A splitting semi-implicit Euler method for stochastic incompressible Euler equations on T-2
期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2022, 页码: 29
作者:
Hong, Jialin
;
Sheng, Derui
;
Zhou, Tau
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  |  
浏览/下载:5/0
  |  
提交时间:2023/02/07
stochastic incompressible Euler equation
convergence order
splitting semi-implicit Euler method
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
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  |  
浏览/下载:10/0
  |  
提交时间:2023/02/07
Uncertainty quantification
Anomalous transport
Quasi Monte Carlo simulation
Generalized polynomial chaos
Long-time integration
Poly-fractonomials
Large Deviations Principles for Symplectic Discretizations of Stochastic Linear Schrodinger Equation
期刊论文
POTENTIAL ANALYSIS, 2022, 页码: 41
作者:
Chen, Chuchu
;
Hong, Jialin
;
Jin, Diancong
;
Sun, Liying
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  |  
浏览/下载:13/0
  |  
提交时间:2022/04/29
Large deviations principle
Symplectic discretizations
Stochastic Schrodinger equation
Rate function
Exponential tightness
Energy-preserving fully-discrete schemes for nonlinear stochastic wave equations with multiplicative noise
期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 451, 页码: 20
作者:
Hong, Jialin
;
Hou, Baohui
;
Sun, Liying
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  |  
浏览/下载:12/0
  |  
提交时间:2022/04/29
Compact finite difference method
Interior penalty discontinuous Galerkin finite element method
Pade approximation
Averaged energy evolution law
Stochastic wave equation
Multiplicative noise
SYMPLECTIC DISCONTINUOUS GALERKIN FULL DISCRETIZATION FOR STOCHASTIC MAXWELL EQUATIONS
期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021, 卷号: 59, 期号: 4, 页码: 2197-2217
作者:
Chen, Chuchu
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  |  
浏览/下载:6/0
  |  
提交时间:2022/04/02
stochastic Maxwell equations
symplectic dG full discretization
mean-square convergence
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
作者:
Cui, Jianbo
;
Hong, Jialin
;
Sun, Liying
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  |  
浏览/下载:6/0
  |  
提交时间: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
作者:
Cui, Jianbo
;
Hong, Jialin
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  |  
浏览/下载:12/0
  |  
提交时间:2021/01/14
Stochastic Cahn-Hilliard equation
Unbounded noise diffusion
Malliavin calculus
Numerical approximation
Strong convergence rate
Efficient Stochastic Galerkin Methods for Maxwell's Equations with Random Inputs
期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 80, 期号: 1, 页码: 248-267
作者:
Fang, Zhiwei
;
Li, Jichun
;
Tang, Tao
;
Zhou, Tao
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浏览/下载:39/0
  |  
提交时间:2020/01/10
Maxwell's equations
Finite element method
Random inputs
Polynomial chaos methods
Stochastic Galerkin
Stochastic Galerkin Method for Optimal Control Problem Governed by Random Elliptic PDE with State Constraints
期刊论文
Journal of Scientific Computing, 2019, 卷号: 78, 期号: 3, 页码: 1571-1600
作者:
Shen, Wanfang
;
Ge, Liang
;
Liu, Wenbin
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  |  
浏览/下载:3/0
  |  
提交时间:2019/12/11
A Sparse Grid Stochastic Collocation Discontinuous Galerkin Method for Constrained Optimal Control Problem Governed by Random Convection Dominated Diffusion Equations
期刊论文
Numerical Functional Analysis and Optimization, 2019, 卷号: 40, 期号: 7, 页码: 763-797
作者:
Ge, Liang
;
Sun, Tongjun
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  |  
浏览/下载:7/0
  |  
提交时间:2019/12/11
Discontinuous Galerkin (DG)
optimal control problem
priori error estimates
random convection diffusion equation
Smolyak approximation
sparse grid stochastic collocation (SGSC)
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