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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：152/0  |  提交时间：2020/09/23
fractional Laplacian  Gegenbauer polynomials  modified rational functions  unbounded domains  Fourier transforms  spectral methods  
CONVERGENCE ANALYSIS FOR SPECTRAL APPROXIMATION TO A SCALAR TRANSPORT EQUATION WITH A RANDOM WAVE SPEED 期刊论文
Journal of Computational Mathematics, 2012, 卷号: 30, 期号: 6, 页码: 643
作者:  Zhou Tao;  Tang Tao
收藏  |  浏览/下载：94/0  |  提交时间：2020/01/10
On sinc discretization and banded preconditioning for linear third-order ordinary differential equations 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2011, 卷号: 18, 期号: 3, 页码: 471-497
作者:  Bai, Zhong-Zhi;  Chan, Raymond H.;  Ren, Zhi-Ru
收藏  |  浏览/下载：100/0  |  提交时间：2018/07/30
third-order ordinary differential equation  sinc-collocation discretization  sinc-Galerkin discretization  convergence analysis  banded preconditioning  Krylov subspace methods  
Analysis of collocation solutions for a class of functional equations with vanishing delays 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2011, 卷号: 31, 期号: 2, 页码: 698-718
作者:  Brunner, Hermann;  Xie, Hehu;  Zhang, Ran
收藏  |  浏览/下载：121/0  |  提交时间：2018/07/30
functional equation with vanishing delay  q-difference equation  uniqueness and regularity of solution  collocation solutions  optimal order of convergence  integro-functional equation  
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：97/0  |  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  
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：99/0  |  提交时间：2018/07/30
Super-convergence rates  Discrete projection methods  Eigenvalue problems  
Convergence Analysis for Stochastic Collocation Methods to Scalar Hyperbolic Equations with a Random Wave Speed 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2010, 卷号: 8, 期号: 1, 页码: 226-248
作者:  Tang, Tao;  Zhou, Tao
收藏  |  浏览/下载：97/0  |  提交时间：2018/07/30
Hyperbolic equation  stochastic collocation methods  convergence analysis  
Superconvergence of Interpolated Collocation Solutions for Hammerstein Equations 期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2010, 卷号: 26, 期号: 2, 页码: 290-304
作者:  Huang, Qiumei;  Zhang, Shuhua
收藏  |  浏览/下载：104/0  |  提交时间：2018/07/30
superconvergence  interpolation postprocessing  the iterated collocation method  Hammerstein equations  smooth and weakly singular kernels  
Polynomially based multi-projection methods for Fredholm integral equations of the second kind 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2009, 卷号: 215, 期号: 1, 页码: 147-155
作者:  Long, Guangqing;  Sahani, Mitali Madhumita;  Nelakanti, Gnaneshwar
收藏  |  浏览/下载：97/0  |  提交时间：2018/07/30
Super-convergence rates  Multi-projection methods  Orthogonal polynomials  Integral equations  
Optimal superconvergence results for delay integro-differential equations of pantograph type 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2007, 卷号: 45, 期号: 3, 页码: 986-1004
作者:  Brunner, Hermann;  Hu, Qiya
收藏  |  浏览/下载：109/0  |  提交时间：2018/07/30
volterra integro-differential equation  vanishing delays  proportional delays  pantograph equation  collocation solutions  optimal order of superconvergence