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中国科学院数学与系统科学研究院机构知识库
KMS Of Academy of mathematics and systems sciences, CAS
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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
Authors:
Zhao, Yue
;
Mao, Zhiping
;
Guo, Ling
;
Tang, Yifa
;
Karniadakis, George Em
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View/Download:28/0
  |  
Submit date: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
Authors:
Bai, Zhong-Zhi
;
Lu, Kang-Ya
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View/Download:116/0
  |  
Submit date: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
Authors:
Bai, Zhong-Zhi
;
Lu, Kang-Ya
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View/Download:126/0
  |  
Submit date:2020/06/30
convergence property
matrix splitting iteration
preconditioning
spatial fractional diffusion equation
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
Authors:
Zhao, Yanmin
;
Wang, Fenling
;
Hu, Xiaohan
;
Shi, Zhengguang
;
Tang, Yifa
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  |  
View/Download:145/0
  |  
Submit date: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
Authors:
Wang, Fenling
;
Zhao, Yanmin
;
Chen, Chen
;
Wei, Yabing
;
Tang, Yifa
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View/Download:134/0
  |  
Submit date:2020/01/10
Time-fractional diffusion equations
Variable coefficient
Quasi-Wilson nonconforming anisotropic finite element
L2-1(sigma) formula
Stability
Superclose and superconvergence
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
Authors:
Bai, Zhong-Zhi
;
Lu, Kang-Ya
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View/Download:89/0
  |  
Submit date: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
Authors:
Huang, Jianfei
;
Zhao, Yue
;
Arshad, Sadia
;
Li, Kuangying
;
Tang, Yifa
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View/Download:143/0
  |  
Submit date:2019/03/05
Time fractional super-diffusion equation
Nonlinear system
ADI schemes
Stability
Convergence
alternatingdirectionimplicitschemesforthetwodimensionaltimefractionalnonlinearsuperdiffusionequations
期刊论文
计算数学英文版, 2019, 卷号: 037, 期号: 003, 页码: 297
Authors:
Jianfei Huang
;
Yue Zhao
;
Sadia Arshad
;
Kuangying Li
;
Yifa Tang
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View/Download:132/0
  |  
Submit date:2020/01/10
A Fourth Order Finite Difference Method for Time-Space Fractional Diffusion Equations
期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2018, 卷号: 8, 期号: 4, 页码: 764-781
Authors:
Arshad, Sadia
;
Baleanu, Dumitru
;
Huang, Jianfei
;
Tang, Yifa
;
Zhao, Yue
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View/Download:179/0
  |  
Submit date:2019/03/05
Fractional diffusion equation
Riesz derivative
high-order approximation
stability
convergence
Spatial High Accuracy Analysis of FEM for Two-dimensional Multi-term Time-fractional Diffusion-wave Equations
期刊论文
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2018, 卷号: 34, 期号: 4, 页码: 828-841
Authors:
Wei, Ya-bing
;
Zhao, Yan-min
;
Shi, Zheng-guang
;
Wang, Fen-ling
;
Tang, Yi-fa
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View/Download:174/0
  |  
Submit date:2018/11/16
multi-term time-fractional diffusion-wave equation
bilinear finite element method
Crank-Nicolson approximation
stability
convergence and superconvergence