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Local Discontinuous Galerkin Method Coupled with Nonuniform Time Discretizations for Solving the Time-Fractional Allen-Cahn Equation
期刊论文
FRACTAL AND FRACTIONAL, 2022, 卷号: 6, 期号: 7
作者:
Wang, Zhen
;
Sun, Luhan
;
Cao, Jianxiong
收藏
  |  
浏览/下载:13/0
  |  
提交时间:2022/08/09
time-fractional Allen-Cahn equation
nonuniform time meshes
local discontinuous galerkin method
stability and convergence
Influence of numerical discretizations on hitting probabilities for linear stochastic parabolic systems
期刊论文
JOURNAL OF COMPLEXITY, 2022, 卷号: 70, 页码: 29
作者:
Chen, Chuchu
;
Hong, Jialin
;
Sheng, Derui
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  |  
浏览/下载:17/0
  |  
提交时间:2022/04/29
Hitting probability
Numerical discretization
Stochastic parabolic system
Critical dimension
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 Stable Nodal Discontinuous Galerkin Methods for Nonlinear Maxwell's Equations in Multi-dimensions
期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2021, 卷号: 89, 期号: 2, 页码: 42
作者:
Lyu, Maohui
;
Bokil, Vrushali A.
;
Cheng, Yingda
;
Li, Fengyan
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  |  
浏览/下载:6/0
  |  
提交时间:2022/04/02
Maxwell's equations
Kerr and Raman nonlinear effects
Linear Lorentz
Nodal discontinuous Galerkin methods
Energy stable
High dimensions
Numerical Schemes for Time-Space Fractional Vibration Equations
期刊论文
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2021, 卷号: 13, 期号: 4, 页码: 806-826
作者:
Zhang, Jingna
;
Aleroev, Temirkhan S.
;
Tang, Yifa
;
Huang, Jianfei
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  |  
浏览/下载:82/0
  |  
提交时间:2021/06/01
Time-space fractional vibration equations
ADI scheme
stability
convergence
Unconditionally positivity preserving and energy dissipative schemes for Poisson-Nernst-Planck equations
期刊论文
NUMERISCHE MATHEMATIK, 2021, 页码: 27
作者:
Shen, Jie
;
Xu, Jie
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浏览/下载:6/0
  |  
提交时间:2021/10/26
65M12
35K61
35K55
65Z05
70F99
Optimal rotated block-diagonal preconditioning for discretized optimal control problems constrained with fractional time-dependent diffusive equations
期刊论文
APPLIED NUMERICAL MATHEMATICS, 2021, 卷号: 163, 页码: 126-146
作者:
Bai, Zhong-Zhi
;
Lu, Kang-Ya
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浏览/下载:56/0
  |  
提交时间:2021/04/26
Fractional optimal control problem
Numerical discretizations
Block two-by-two linear system
Preconditioning
Spectral bounds
Krylov subspace iteration methods
Convergence property
A linearized ADI scheme for two-dimensional time-space fractional nonlinear vibration equations
期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2021, 页码: 15
作者:
Zhang, Jingna
;
Huang, Jianfei
;
Aleroev, Temirkhan S.
;
Tang, Yifa
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  |  
浏览/下载:59/0
  |  
提交时间:2021/04/26
Time-space fractional nonlinear vibration equations
two dimensions
linearized ADI scheme
stability
convergence
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
Fast matrix splitting preconditioners for higher dimensional spatial fractional diffusion equations
期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 卷号: 404, 页码: 13
作者:
Bai, Zhong-Zhi
;
Lu, Kang-Ya
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浏览/下载:27/0
  |  
提交时间:2020/05/24
Spatial fractional diffusion equations
Shifted finite-difference discretization
Block Toeplitz-like matrix
Block circulant-like matrix
Preconditioning
Eigenvalue distribution
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