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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
收藏  |  浏览/下载：183/0  |  提交时间：2020/09/23
fractional Laplacian  Gegenbauer polynomials  modified rational functions  unbounded domains  Fourier transforms  spectral methods  
SPECTRAL OPERATORS OF MATRICES: SEMISMOOTHNESS AND CHARACTERIZATIONS OF THE GENERALIZED JACOBIAN 期刊论文
SIAM JOURNAL ON OPTIMIZATION, 2020, 卷号: 30, 期号: 1, 页码: 630-659
作者:  Ding, Chao;  Sun, Defeng;  Sun, Jie;  Toh, Kim-Chuan
收藏  |  浏览/下载：185/0  |  提交时间：2020/09/23
spectral operators  matrix-valued functions  semismoothness  generalized Jacobian  
Hermite Spectral Collocation Methods for Fractional PDEs in Unbounded Domains 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2018, 卷号: 24, 期号: 4, 页码: 1143-1168
作者:  Tang, Tao;  Yuan, Huifang;  Zhou, Tao
收藏  |  浏览/下载：168/0  |  提交时间：2019/03/05
Fractional PDEs  Hermite polynomials/functions  unbounded domain  spectral collocation methods  
Spectral operators of matrices 期刊论文
MATHEMATICAL PROGRAMMING, 2018, 卷号: 168, 期号: 1-2, 页码: 509-531
作者:  Ding, Chao;  Sun, Defeng;  Sun, Jie;  Toh, Kim-Chuan
收藏  |  浏览/下载：214/0  |  提交时间：2018/07/30
Spectral operators  Directional differentiability  Frechet differentiability  Matrix valued functions  Proximal mappings  
A plane wave method combined with local spectral elements for nonhomogeneous Helmholtz equation and time-harmonic Maxwell equations 期刊论文
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2018, 卷号: 44, 期号: 1, 页码: 245-275
作者:  Hu, Qiya;  Yuan, Long
收藏  |  浏览/下载：174/0  |  提交时间：2018/07/30
Helmholtz equation  Time-harmonic Maxwell equations  Nonhomogeneous  Local spectral element  Plane wave basis functions  Error estimates  
QUADRATIC GROWTH CONDITIONS FOR CONVEX MATRIX OPTIMIZATION PROBLEMS ASSOCIATED WITH SPECTRAL FUNCTIONS 期刊论文
SIAM JOURNAL ON OPTIMIZATION, 2017, 卷号: 27, 期号: 4, 页码: 2332-2355
作者:  Cui, Ying;  Ding, Chao;  Zhao, Xinyuan
收藏  |  浏览/下载：186/0  |  提交时间：2018/07/30
matrix optimization  spectral functions  quadratic growth conditions  metric sub regularity  augmented Lagrangian function  fast convergence rates