摘要
通过调整截断参数,构造具有弱奇异核或者奇异核的第二类积分方程小波快速算法,并证明算法具有最佳收敛阶,同时,复杂度仍保持几乎最佳.
In this paper we develop a new truncation parameter for fast wavelet collocation methods, which is not only suitable to integral equations of second kind with weakly singular kernel, but also suitable to singular kernel. We show our methods have the optimal order of convergence while retaining the almost optimal computational complexity.
出处
《广西师范学院学报（自然科学版）》
2006年第1期1-7,14,共8页
Journal of Guangxi Teachers Education University(Natural Science Edition)
基金
China Postdoctorate Science Foundation(2005037603)
Guangxi Sciences Foundation(0575052)
Pro-gramfor 100 Young and Middle-aged Discipliary Leaders in Guangxi Higher Education Institutions
Youth Foundation of Guangxi Teachers Education University(20021127)
关键词
小波
截断参数
最佳收敛性
collocation
optimal order
truncation strategy
