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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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Monte Carlo fPINNs: Deep learning method for forward and inverse problems involving high dimensional fractional partial differential equations
期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2022, 卷号: 400, 页码: 17
作者:
Guo, Ling
;
Wu, Hao
;
Yu, Xiaochen
;
Zhou, Tao
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  |  
浏览/下载:49/0
  |  
提交时间:2023/02/07
Physics -informed neural networks
Fractional Laplacian
Nonlocal operators
Uncertainty quantification
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:58/0
  |  
提交时间:2023/02/07
Uncertainty quantification
Anomalous transport
Quasi Monte Carlo simulation
Generalized polynomial chaos
Long-time integration
Poly-fractonomials
A Superconvergent Nonconforming Mixed FEM for Multi-Term Time-Fractional Mixed Diffusion and Diffusion-Wave Equations with Variable Coefficients
期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2021, 卷号: 11, 期号: 1, 页码: 63-92
作者:
Fan, Huijun
;
Zhao, Yanmin
;
Wang, Fenling
;
Shi, Yanhua
;
Tang, Yifa
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  |  
浏览/下载:167/0
  |  
提交时间:2021/01/14
Nonconforming mixed FEM
multi-term time-fractional mixed diffusion and diffusion-wave equations
L1 time-stepping method
Crank-Nicolson scheme
convergence and superconvergence
Schauder theorems for a class of (pseudo-)differential operators on finite- and infinite-dimensional state spaces
期刊论文
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2021, 页码: 49
作者:
Lunardi, Alessandra
;
Rockner, Michael
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浏览/下载:133/0
  |  
提交时间:2021/04/26
A numerical method for two-dimensional multi-term time-space fractional nonlinear diffusion-wave equations
期刊论文
APPLIED NUMERICAL MATHEMATICS, 2021, 卷号: 159, 页码: 159-173
作者:
Huang, Jianfei
;
Zhang, Jingna
;
Arshad, Sadia
;
Tang, Yifa
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  |  
浏览/下载:193/0
  |  
提交时间:2021/01/14
Multi-term time-space derivatives
Fractional nonlinear diffusion-wave equations
Finite difference schemes
Stability
Convergence
Fast ADI scheme
Error estimate on the tanh meshes for the time fractional diffusion equation
期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2020, 页码: 21
作者:
Zhang, Jiali
;
Huang, Jizu
;
Wang, Kun
;
Wang, Xin
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浏览/下载:160/0
  |  
提交时间:2021/01/14
Caputo fractional derivative
error estimate
the tanh meshes
unconditionally stable
weak singularity
Space-time finite element method for the distributed-order time fractional reaction diffusion equations
期刊论文
APPLIED NUMERICAL MATHEMATICS, 2020, 卷号: 152, 页码: 446-465
作者:
Bu, Weiping
;
Ji, Lun
;
Tang, Yifa
;
Zhou, Jie
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浏览/下载:134/0
  |  
提交时间:2020/05/24
Distributed-order reaction diffusion equation
Space-time finite element method
Graded time mesh
Well-posedness
Error estimate
Sum-of-exponentials approximation
Optimal strong convergence rate of a backward Euler type scheme for the Cox-Ingersoll-Ross model driven by fractional Brownian motion
期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2020, 卷号: 130, 期号: 5, 页码: 2675-2692
作者:
Hong, Jialin
;
Huang, Chuying
;
Kamrani, Minoo
;
Wang, Xu
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  |  
浏览/下载:152/0
  |  
提交时间:2020/06/30
Cox-Ingersoll-Ross model
Fractional Brownian motion
Backward Euler scheme
Optimal strong convergence rate
Malliavin calculus
Superconvergence Analysis of Anisotropic FEMs for Time Fractional Variable Coefficient Diffusion Equations
期刊论文
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2020, 页码: 19
作者:
Wei, Yabing
;
Zhao, Yanmin
;
Wang, Fenling
;
Tang, Yifa
;
Yang, Jiye
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  |  
浏览/下载:159/0
  |  
提交时间:2020/05/24
L2-1(sigma) approximation
Anisotropic meshes
Time fractional variable coefficient diffusion equations
Convergence and superconvergence
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:151/0
  |  
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