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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:148/0  |  提交时间:2020/09/23
fractional Laplacian  Gegenbauer polynomials  modified rational functions  unbounded domains  Fourier transforms  spectral methods  
Energy-conserving Hamiltonian Boundary Value Methods for the numerical solution of the Korteweg-de Vries equation 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 卷号: 351, 页码: 117-135
作者:  Brugnano, Luigi;  Gurioli, Gianmarco;  Sun, Yajuan
收藏  |  浏览/下载:188/0  |  提交时间:2020/01/10
Korteweg-de Vries equation  Hamiltonian partial differential equations  Hamiltonian problems  Energy-conserving methods  Hamiltonian boundary value methods  HBVMs  
Fast Fourier-Galerkin methods for first-kind logarithmic-kernel integral equations on open arcs 期刊论文
SCIENCE CHINA-MATHEMATICS, 2010, 卷号: 53, 期号: 1, 页码: 1-22
作者:  Wang Bo;  Wang Rui;  Xu YueSheng
收藏  |  浏览/下载:139/0  |  提交时间:2018/07/30
Dirichlet problem  open arc  singular boundary integral equations  Fourier-Galerkin methods  logarithmic potentials  
A fast Fourier-Galerkin method for solving singular boundary integral equations 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2008, 卷号: 46, 期号: 4, 页码: 1965-1984
作者:  Cai, Haotao;  Xu, Yuesheng
收藏  |  浏览/下载:113/0  |  提交时间:2018/07/30
singular boundary integral equations  Fourier-Galerkin methods  fast solutions  
A new parallel strategy for two-dimensional incompressible flow simulations using pseudo-spectral methods 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2005, 卷号: 210, 期号: 1, 页码: 325-341
作者:  Yin, Z;  Yuan, L;  Tang, T
收藏  |  浏览/下载:110/0  |  提交时间:2018/07/30
parallel computing  pseudo-spectral methods  task distribution  Navier-Stokes equations  Boussinesq equations