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科研机构
数学与系统科学研究... [26]
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期刊论文 [26]
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2022 [2]
2020 [2]
2019 [4]
2018 [12]
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专题:数学与系统科学研究院
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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
收藏
  |  
浏览/下载:12/0
  |  
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:11/0
  |  
提交时间:2023/02/07
Uncertainty quantification
Anomalous transport
Quasi Monte Carlo simulation
Generalized polynomial chaos
Long-time integration
Poly-fractonomials
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:9/0
  |  
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:17/0
  |  
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
Mittag-Leffler stabilization for an unstable time-fractional anomalous diffusion equation with boundary control matched disturbance
期刊论文
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2019, 卷号: 29, 期号: 13, 页码: 4384-4401
作者:
Zhou, Hua-Cheng
;
Lv, Chunwan
;
Guo, Bao-Zhu
;
Chen, YangQuan
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浏览/下载:60/0
  |  
提交时间:2020/01/10
active disturbance rejection control (ADRC)
Mittag-Leffler stabilization
time-fractional anomalous diffusion equation
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:54/0
  |  
提交时间:2020/01/10
Fractional diffusion-wave equation
nonlinear source
convolution quadrature
generating function
stability and convergence
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
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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
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.
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  |  
浏览/下载:27/0
  |  
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
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  |  
浏览/下载:27/0
  |  
提交时间:2019/03/05
Fractional diffusion equation
Riesz derivative
high-order approximation
stability
convergence
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