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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:20/0
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Submit date:2023/02/07
Uncertainty quantification
Anomalous transport
Quasi Monte Carlo simulation
Generalized polynomial chaos
Long-time integration
Poly-fractonomials
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:116/0
  |  
Submit date:2020/06/30
convergence property
matrix splitting iteration
preconditioning
spatial fractional diffusion equation
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:84/0
  |  
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:137/0
  |  
Submit date:2019/03/05
Time fractional super-diffusion equation
Nonlinear system
ADI schemes
Stability
Convergence
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:169/0
  |  
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:165/0
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Submit date:2018/11/16
multi-term time-fractional diffusion-wave equation
bilinear finite element method
Crank-Nicolson approximation
stability
convergence and superconvergence
Respectively scaled HSS iteration methods for solving discretized spatial fractional diffusion equations
期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2018, 卷号: 25, 期号: 5, 页码: 18
Authors:
Bai, Zhong-Zhi
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View/Download:117/0
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Submit date:2019/01/11
convergence property
HSS iteration
matrix splitting
preconditioning
respective scaling
spatial fractional diffusion equation
Finite Difference Method for Time-Space Fractional Advection-Diffusion Equations with Riesz Derivative
期刊论文
ENTROPY, 2018, 卷号: 20, 期号: 5, 页码: 20
Authors:
Arshad, Sadia
;
Baleanu, Dumitru
;
Huang, Jianfei
;
Al Qurashi, Maysaa Mohamed
;
Tang, Yifa
;
Zhao, Yue
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View/Download:111/0
  |  
Submit date:2018/07/30
fractional advection dispersion equation
riesz derivative
caputo derivative
trapezoidal formula
Finite difference method for time-space linear and nonlinear fractional diffusion equations
期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2018, 卷号: 95, 期号: 1, 页码: 202-217
Authors:
Arshad, Sadia
;
Bu, Weiping
;
Huang, Jianfei
;
Tang, Yifa
;
Zhao, Yue
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View/Download:137/0
  |  
Submit date:2018/07/30
Fractional diffusion equation
finite difference method
stability and convergence analysis
trapezoidal formula
Riesz derivative
Caputo derivative
High-accuracy finite element method for 2D time fractional diffusion-wave equation on anisotropic meshes
期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2018, 卷号: 95, 期号: 1, 页码: 218-230
Authors:
Zhang, Y. D.
;
Zhao, Y. M.
;
Wang, F. L.
;
Tang, Y. F.
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View/Download:129/0
  |  
Submit date:2018/07/30
Time fractional diffusion-wave equation
finite element method
Crank-Nicolson scheme
stability
convergence and superconvergence