广义KdV方程Fourier谱逼近的最优误差估计

doi:10.1007/s10483-009-0104-1

Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (1): 29-38 .doi: https://doi.org/10.1007/s10483-009-0104-1

广义KdV方程Fourier谱逼近的最优误差估计

邓镇国^1,2;马和平¹

1.上海大学数学系,上海 200444;
2.广西大学数学与信息科学学院, 南宁 530004

收稿日期:2008-03-05 修回日期:2008-11-28 出版日期:2009-01-01 发布日期:2009-01-01
通讯作者: 马和平

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

Zhen-guo DENG^1,2;He-ping MA ¹

1. Department of Mathematics, Shanghai University,Shanghai 200444, P. R. China; 2. School of Mathematics and Information Science,Guangxi University, Nanning 530004, P. R. China

Received:2008-03-05 Revised:2008-11-28 Online:2009-01-01 Published:2009-01-01
Contact: He-ping MA

摘要/Abstract

摘要： 分析了一类带周期边界条件的广义KdV方程Fourier谱方法,得到了L²-范数下最优误差估计,改进了由Maday和Quarteroni给出的结果,还提出了一种修改Fourier拟谱方法,并且证明它享有与Fourier谱方法同样的收敛性.

中图分类号:

邓镇国;马和平. 广义KdV方程Fourier谱逼近的最优误差估计[J]. Applied Mathematics and Mechanics (English Edition), 2009, 30(1): 29-38 .

Zhen-guo DENG;He-ping MA . Optimal error estimates for Fourier spectral approximation of the generalized KdV equation[J]. Applied Mathematics and Mechanics (English Edition), 2009, 30(1): 29-38 .

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广义KdV方程Fourier谱逼近的最优误差估计

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

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