Discrete wavelet Petrov-Galerkin methods

被引：36

作者：

Chen, ZY

Micchelli, CA

Xu, YS

机构：

[1] Zhongshan Univ, Dept Computat Sci, Guangzhou 510275, Peoples R China

[2] SUNY Albany, Dept Math & Stat, Albany, NY 12222 USA

[3] W Virginia Univ, Dept Math, Morgantown, WV 26506 USA

[4] Acad Sinica, Acad Math & Syst Sci, Beijing 100080, Peoples R China

来源：

ADVANCES IN COMPUTATIONAL MATHEMATICS | 2002年 / 16卷 / 01期

基金：

美国国家科学基金会; 中国国家自然科学基金;

关键词：

D O I：

10.1023/A:1014273420351

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we develop a discrete wavelet Petrov-Galerkin method for integral equations of the second kind with weakly singular kernels suitable for solving boundary integral equations. A compression strategy for the design of a fast algorithm is suggested. Estimates for the rate of convergence and computational complexity of the method are provided.

引用

页码：1 / 28

页数：28

共 18 条

[1]

Anselone P. M., 1971, Collectively compact operator approximation theory and applications to integral equations

[2]

ATKINSON K, 1987, MATH COMPUT, V48, P595, DOI 10.1090/S0025-5718-1987-0878693-6

[3] ON THE DISCRETE GALERKIN METHOD FOR FREDHOLM INTEGRAL-EQUATIONS OF THE 2ND KIND [J].