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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:11/0
  |  
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
Liouville-Type Theorems for Fractional and Higher-Order Henon-Hardy Type Equations via the Method of Scaling Spheres
期刊论文
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2022, 页码: 70
作者:
Dai, Wei
;
Qin, Guolin
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  |  
浏览/下载:9/0
  |  
提交时间:2022/06/21
CLASSIFICATION OF NONNEGATIVE SOLUTIONS TO STATIC SCHRODINGER-HARTREE-MAXWELL TYPE EQUATIONS
期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2021, 卷号: 53, 期号: 2, 页码: 1379-1410
作者:
Dai, Wei
;
Liu, Zhao
;
Qin, Guolin
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  |  
浏览/下载:7/0
  |  
提交时间:2021/10/26
higher-order fractional Laplacians
Schrodinger-Hartree-Maxwell equations
classification of nonnegative solutions
super poly-harmonic properties
nonlocal nonlinearities
the method of moving spheres
RATIONAL SPECTRAL METHODS FOR PDEs INVOLVING FRACTIONAL LAPLACIAN IN UNBOUNDED DOMAINS
期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2020, 卷号: 42, 期号: 2, 页码: A585-A611
作者:
Tang, Tao
;
Wang, Li-Lian
;
Yuan, Huifang
;
Zhou, Tao
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浏览/下载:5/0
  |  
提交时间:2020/09/23
fractional Laplacian
Gegenbauer polynomials
modified rational functions
unbounded domains
Fourier transforms
spectral methods
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
A robust kernel-based solver for variable-order time fractional PDEs under 2D/3D irregular domains
期刊论文
APPLIED MATHEMATICS LETTERS, 2019, 卷号: 94, 页码: 105-111
作者:
Fu, Zhuo-Jia
;
Reutskiy, Sergiy
;
Sun, Hong-Guang
;
Ma, Ji
;
Khan, Mushtaq Ahmad
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浏览/下载:6/0
  |  
提交时间:2019/12/02
Variable-order time fractional derivation
Kernel-based solver
Radial basis functions
Muntz polynomials
Cell-filtering-based multi-scale Shannon-Cosine wavelet denoising method for locust slice images
期刊论文
INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING, 2019, 卷号: 17, 期号: 5
作者:
Mei, Shenghan
;
Liu, Xiaochun
;
Mei, Shuli
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浏览/下载:23/0
  |  
提交时间:2019/12/05
Shannon-Cosine wavelet
partition of unity
spectral method
Riesz basis
fractional Partial Differential Equations (PDEs)
alternatingdirectionimplicitschemesforthetwodimensionaltimefractionalnonlinearsuperdiffusionequations
期刊论文
计算数学英文版, 2019, 卷号: 037, 期号: 003, 页码: 297
作者:
Jianfei Huang
;
Yue Zhao
;
Sadia Arshad
;
Kuangying Li
;
Yifa Tang
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  |  
浏览/下载:33/0
  |  
提交时间:2020/01/10
AN ADAPTIVE MULTIFIDELITY PC-BASED ENSEMBLE KALMAN INVERSION FOR INVERSE PROBLEMS
期刊论文
INTERNATIONAL JOURNAL FOR UNCERTAINTY QUANTIFICATION, 2019, 卷号: 9, 期号: 3, 页码: 205-220
作者:
Yan, Liang
;
Zhou, Tao
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  |  
浏览/下载:31/0
  |  
提交时间:2020/01/10
Bayesian inverse problems
ensemble Kalman inversion
multifidelity polynomial chaos
surrogate modeling
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