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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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计算数学与科学工程计... [7]
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Quantifying the generalization error in deep learning in terms of data distribution and neural network smoothness
期刊论文
NEURAL NETWORKS, 2020, 卷号: 130, 页码: 85-99
作者:
Jin, Pengzhan
;
Lu, Lu
;
Tang, Yifa
;
Karniadakis, George Em
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浏览/下载:119/0
  |  
提交时间:2021/01/14
Neural networks
Generalization error
Learnability
Data distribution
Cover complexity
Neural network smoothness
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:136/0
  |  
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
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:160/0
  |  
提交时间:2020/05/24
L2-1(sigma) approximation
Anisotropic meshes
Time fractional variable coefficient diffusion equations
Convergence and superconvergence
High Accuracy Analysis of an Anisotropic Nonconforming Finite Element Method for Two-Dimensional Time Fractional Wave Equation
期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2019, 卷号: 9, 期号: 4, 页码: 797-817
作者:
Wang, Fenling
;
Zhao, Yanmin
;
Shi, Zhengguang
;
Shi, Yanhua
;
Tang, Yifa
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  |  
浏览/下载:160/0
  |  
提交时间:2020/01/10
Time fractional wave equation
anisotropic nonconforming quasi-Wilson finite element
Crank-Nicolson scheme
stability
superclose and superconvergence
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:182/0
  |  
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
Convolution Quadrature Methods for Time-Space Fractional Nonlinear Diffusion-Wave Equations
期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2019, 卷号: 9, 期号: 3, 页码: 538-557
作者:
Huang, Jianfei
;
Arshad, Sadia
;
Jiao, Yandong
;
Tang, Yifa
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  |  
浏览/下载:166/0
  |  
提交时间:2020/01/10
Fractional diffusion-wave equation
nonlinear source
convolution quadrature
generating function
stability and convergence
Superconvergence analysis of FEM for 2D multi-term time fractional diffusion-wave equations with variable coefficient
期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2019, 页码: 15
作者:
Shi, Y. H.
;
Zhao, Y. M.
;
Wang, F. L.
;
Tang, Y. F.
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  |  
浏览/下载:152/0
  |  
提交时间:2020/01/10
Multi-term time fractional diffusion-wave equations
linear triangular finite element
Crank-Nicolson approximation
stability
superclose and superconvergence
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
收藏
  |  
浏览/下载:179/0
  |  
提交时间:2019/03/05
Time fractional super-diffusion equation
Nonlinear system
ADI schemes
Stability
Convergence
Nonconforming quasi-Wilson finite element method for 2D multi-term time fractional diffusion-wave equation on regular and anisotropic meshes
期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2018, 卷号: 338, 页码: 290-304
作者:
Shi, Z. G.
;
Zhao, Y. M.
;
Liu, F.
;
Wang, F. L.
;
Tang, Y. F.
收藏
  |  
浏览/下载:200/0
  |  
提交时间:2018/10/07
Multi-term time fractional diffusion-wave equation
Nonconforming quasi-Wilson finite element
Crank-Nicolson scheme
Superclose and superconvergence
Anisotropic meshes
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
作者:
Arshad, Sadia
;
Baleanu, Dumitru
;
Huang, Jianfei
;
Tang, Yifa
;
Zhao, Yue
收藏
  |  
浏览/下载:210/0
  |  
提交时间:2019/03/05
Fractional diffusion equation
Riesz derivative
high-order approximation
stability
convergence