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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
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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
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
On regularized Hermitian splitting iteration methods for solving discretized almost-isotropic spatial fractional diffusion equations
期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2020, 卷号: 27, 期号: 1, 页码: 21
作者:
Bai, Zhong-Zhi
;
Lu, Kang-Ya
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  |  
浏览/下载:20/0
  |  
提交时间:2020/06/30
convergence property
matrix splitting iteration
preconditioning
spatial fractional diffusion equation
A limited-memory block bi-diagonal Toeplitz preconditioner for block lower triangular Toeplitz system from time–space fractional diffusion equation
期刊论文
Journal of Computational and Applied Mathematics, 2019, 卷号: 362, 页码: 99-115
作者:
Zhao, Yong-Liang
;
Zhu, Pei-Yong
;
Gu, Xian-Ming
;
Zhao, Xi-Le
;
Cao, Jianxiong
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浏览/下载:4/0
  |  
提交时间:2020/11/14
Gradient methods
Linear systems
Matrix algebra
Partial differential equations
Circulant preconditioner
Fractional differential equations
Krylov subspace method
Toeplitz matrices
WSGD
A limited-memory block bi-diagonal Toeplitz preconditioner for block lower triangular Toeplitz system from time-space fractional diffusion equation
期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 卷号: 362, 页码: 99-115
作者:
Zhao, Yong-Liang
;
Zhu, Pei-Yong
;
Gu, Xian-Ming
;
Zhao, Xi-Le
;
Cao, Jianxiong
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  |  
浏览/下载:10/0
  |  
提交时间:2019/11/15
Block triangular lower Toeplitz matrix
Skew-circulant preconditioner
Krylov subspace methods
Fractional differential equations
WSGD
L2-1(sigma) formula
Anisotropic linear triangle finite element approximation for multi-term time-fractional mixed diffusion and diffusion-wave equations with variable coefficient on 2D bounded domain
期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 卷号: 78, 期号: 5, 页码: 1705-1719
作者:
Zhao, Yanmin
;
Wang, Fenling
;
Hu, Xiaohan
;
Shi, Zhengguang
;
Tang, Yifa
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浏览/下载:67/0
  |  
提交时间:2020/01/10
Multi-term time-fractional mixed diffusion-wave equations
Linear triangle finite element
L1 time-stepping method
Crank-Nicolson scheme
Unconditional stability
Convergence and superconvergence
A novel high-order approximate scheme for two-dimensional time-fractional diffusion equations with variable coefficient
期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 卷号: 78, 期号: 5, 页码: 1288-1301
作者:
Wang, Fenling
;
Zhao, Yanmin
;
Chen, Chen
;
Wei, Yabing
;
Tang, Yifa
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浏览/下载:51/0
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提交时间:2020/01/10
Time-fractional diffusion equations
Variable coefficient
Quasi-Wilson nonconforming anisotropic finite element
L2-1(sigma) formula
Stability
Superclose and superconvergence
Blow-up and global solutions for a class of time fractional nonlinear reaction–diffusion equation with weakly spatial source
期刊论文
Applied Mathematics Letters, 2019, 卷号: 91, 页码: 201-206
作者:
Cao, Jianxiong
;
Song, Guojie
;
Wang, Jie
;
Shi, Qihong
;
Sun, Sujing
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  |  
浏览/下载:2/0
  |  
提交时间:2020/11/14
Diffusion
Partial differential equations
Blow-up
Blow-up of solution
Bounded solution
Diffusion equations
Existence of global solution
Global solutions
Long time behavior
Nonlinear reaction
On banded M-splitting iteration methods for solving discretized spatial fractional diffusion equations
期刊论文
BIT NUMERICAL MATHEMATICS, 2019, 卷号: 59, 期号: 1, 页码: 1-33
作者:
Bai, Zhong-Zhi
;
Lu, Kang-Ya
收藏
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浏览/下载:24/0
  |  
提交时间:2019/12/13
Matrix splitting
Iteration method
Convergence property
Spatial fractional diffusion equation
ALTERNATING DIRECTION IMPLICIT SCHEMES FOR THE TWO-DIMENSIONAL TIME FRACTIONAL NONLINEAR SUPER-DIFFUSION EQUATIONS
期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2019, 卷号: 37, 期号: 3, 页码: 297-315
作者:
Huang, Jianfei
;
Zhao, Yue
;
Arshad, Sadia
;
Li, Kuangying
;
Tang, Yifa
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浏览/下载:38/0
  |  
提交时间:2019/03/05
Time fractional super-diffusion equation
Nonlinear system
ADI schemes
Stability
Convergence
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