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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：65/0  |  提交时间：2023/02/07
Physics -informed neural networks  Fractional Laplacian  Nonlocal operators  Uncertainty quantification  
INVERSE ELASTIC SCATTERING FOR A RANDOM POTENTIAL\ast 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2022, 卷号: 54, 期号: 5, 页码: 5126-5159
作者:  LI, Jianliang;  LI, Peijun;  Wang, Xu
收藏  |  浏览/下载：60/0  |  提交时间：2023/02/07
inverse scattering problem  elastic wave equation  generalized Gaussian random field  pseudodifferential operator  principal symbol  uniqueness  
Weighted integral solvers for elastic scattering by open arcs in two dimensions 期刊论文
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2021, 页码: 18
作者:  Bruno, Oscar P.;  Xu, Liwei;  Yin, Tao
收藏  |  浏览/下载：133/0  |  提交时间：2021/04/26
Calderó  n relation  elasticity  open arc  second‐  kind integral solver  
AN ACCURATE HYPERSINGULAR BOUNDARY INTEGRAL EQUATION METHOD FOR DYNAMIC POROELASTICITY IN TWO DIMENSIONS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2021, 卷号: 43, 期号: 3, 页码: B784-B810
作者:  Zhang, Lu;  Xu, Liwei;  Yin, Tao
收藏  |  浏览/下载：123/0  |  提交时间：2021/10/26
poroelasticity  hyper-singular operator  Calderon relation  regularized integral equation  
COUPLING BY REFLECTION AND HOLDER REGULARITY FOR NON-LOCAL OPERATORS OF VARIABLE ORDER 期刊论文
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2019, 卷号: 371, 期号: 1, 页码: 431-459
作者:  Luo, Dejun;  Wang, Jian
收藏  |  浏览/下载：215/0  |  提交时间：2019/03/05
Stable-like process  non-local operator  Holder continuity  coupling by reflection  jump process  
Simultaneous identification of diffusion coefficient, spacewise dependent source and initial value for one-dimensional heat equation 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 卷号: 40, 期号: 10, 页码: 3552-3565
作者:  Zhao, Zhi-Xue;  Banda, Mapundi K.;  Guo, Bao-Zhu
浏览  |  Adobe PDF(475Kb)  |  收藏  |  浏览/下载：617/179  |  提交时间：2018/07/30
Inverse Problem  Matrix Pencil Method  Finite Difference Method  Truncated Singular Value Decomposition  Generalized Cross-validation  
On the ratio of different norms of caloric functions and related eigenfunctions of an integral operator 期刊论文
SCIENCE CHINA-MATHEMATICS, 2012, 卷号: 55, 期号: 8, 页码: 1597-1612
作者:  Ding YuTao;  Zhang LiQun
收藏  |  浏览/下载：105/0  |  提交时间：2021/01/14
integral operators  eigenvalues  heat equation  
TWO-SCALE FINITE ELEMENT DISCRETIZATIONS FOR INTEGRODIFFERENTIAL EQUATIONS 期刊论文
JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2011, 卷号: 23, 期号: 3, 页码: 351-381
作者:  Chen, Huajie;  Liu, Fang;  Reich, Nils;  Winter, Christoph;  Zhou, Aihui
收藏  |  浏览/下载：122/0  |  提交时间：2018/07/30
Finite elements  infinitesimal generator  two-scale discretization  wavelets  
On the weak L (p) -Hodge decomposition and Beurling-Ahlfors transforms on complete Riemannian manifolds 期刊论文
PROBABILITY THEORY AND RELATED FIELDS, 2011, 卷号: 150, 期号: 1-2, 页码: 111-144
作者:  Li, Xiang-Dong
收藏  |  浏览/下载：136/0  |  提交时间：2018/07/30
Beurling-Ahlfors transforms  Hodge decomposition  Martingale representation formula  Weitzenbck curvature  
Discrete multi-projection methods for eigen-problems of compact integral operators 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2010, 卷号: 217, 期号: 8, 页码: 3974-3984
作者:  Long, Guangqing;  Nelakanti, Gnaneshwar;  Panigrahi, Bijaya Laxmi;  Sahani, Mitali Madhumita
收藏  |  浏览/下载：112/0  |  提交时间：2018/07/30
Super-convergence rates  Discrete projection methods  Eigenvalue problems