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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:175/0  |  提交时间:2020/09/23
fractional Laplacian  Gegenbauer polynomials  modified rational functions  unbounded domains  Fourier transforms  spectral methods  
A GENERALIZED SAMPLING AND PRECONDITIONING SCHEME FOR SPARSE APPROXIMATION OF POLYNOMIAL CHAOS EXPANSIONS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2017, 卷号: 39, 期号: 3, 页码: A1114-A1144
作者:  Jakeman, John D.;  Narayan, Akil;  Zhou, Tao
收藏  |  浏览/下载:130/0  |  提交时间:2018/07/30
uncertainty quantification  polynomial chaos  compressed sensing  
COLLOCATION METHODS FOR GENERAL VOLTERRA FUNCTIONAL INTEGRAL EQUATIONS WITH VANISHING DELAYS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2011, 卷号: 33, 期号: 6, 页码: 3303-3332
作者:  Xie, Hehu;  Zhang, Ran;  Brunner, Hermann
收藏  |  浏览/下载:118/0  |  提交时间:2018/07/30
Volterra functional integral equations  vanishing delays  pantograph-type delays  existence and regularity of solutions  collocation solutions  optimal order of convergence