THE LARGE TIME CONVERGENCE OF SPECTRAL METHOD FOR GENERALIZED KURAMOTO-SIVASHINSKY EQUATION (Ⅱ)

被引：0
|
作者：
Xin-ming Xiang (Shanghai Normal University
机构：
来源：
Journal of Computational Mathematics | 1998年 / 03期
关键词：
Kuramoto- Sivashinsky equation; large time convergence; Approximate attractor; Upper semicontinuity of attractors;
D O I：
暂无
中图分类号：
O241 [数值分析];
学科分类号：
070102 ;
摘要：
In this paper, we study fully discrete spectral method and long time behavior of solution of generalized Kuramoto-Sivashinsky equation with periodic initial condition. We prove that the large time error estimation for fully discrete solution of spectral method. We prove the existence of approximate attractors AN, ANk respectively and d(AN, A) → 0, d(ANk, A) → 0.
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页码：203 / 212
页数：10
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