Optimal error estimates for Fourier spectral approximation of the generalized KdV equation

被引：4

作者：

Deng, Zhen-guo ^{[1
,2
]}

Ma, He-ping ^{[1
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

[2] Guangxi Univ, Sch Math & Informat Sci, Nanning 530004, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2009年 / 30卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Fourier spectral method; modified Fourier pseudospectral method; generalized Korteweg-de Vries equation; error estimate; KORTEWEG-DEVRIES EQUATION; CONVERGENCE; PROJECTION; STABILITY;

D O I：

10.1007/s10483-009-0104-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A Fourier spectral method for the generalized Korteweg-de Vries equation with periodic boundary conditions is analyzed, and a corresponding optimal error estimate in L-2-norm is obtained. It improves the result presented by Maday and Quarteroni. A modified Fourier pseudospectral method is also presented, with the same convergence properties as the Fourier spectral method.

引用

页码：29 / 38

页数：10

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