Fourierization of the Legendre-Galerkin method and a new space-time spectral method

被引：85

作者：

Shen, Jie ^{[1
]}

Wang, Li-Lian

机构：

[1] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

[2] Nanyang Technol Univ, Div Math Sci, Sch Phys & Math Sci, Singapore 637616, Singapore

来源：

APPLIED NUMERICAL MATHEMATICS | 2007年 / 57卷 / 5-7期

关键词：

Fourier-like basis function; dual-Petrov-Galerkin method; space-time spectral method; error analysis;

D O I：

10.1016/j.apnum.2006.07.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A set of Fourier-like basis functions is constructed for Legendre-Galerkin method for non-periodic boundary value problems and a new space-time spectral method is proposed. A complete error analysis is carried out for a linear parabolic equation and numerical results are presented for several typical linear and nonlinear equations. (c) 2006 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：710 / 720

页数：11

共 16 条

[1] SPACE-TIME SPECTRAL ELEMENT METHODS FOR ONE-DIMENSIONAL NONLINEAR ADVECTION-DIFFUSION PROBLEMS [J].