High order methods for weakly singular integral equations with nonsmooth input functions

作     者：Monegato, G Scuderi, L 

作者机构：Politecn Torino Dipartimento Matemat I-10129 Turin Italy 

出 版 物：《MATHEMATICS OF COMPUTATION》 (计算数学)

年 卷 期：1998年第67卷第224期

页      面：1493-1515页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：.NUMERICAL METHODS right-hand side see for instance high order collocation weakly singular INPUT FUNCTIONS product-integration based on global arbitrarily high Fredholm integral equations 

摘      要：To solve one-dimensional linear weakly singular integral equations on bounded intervals, with input functions which may be smooth or not, we propose to introduce first a simple smoothing change of variable, and then to apply classical numerical methods such as product-integration and collocation based on global polynomial approximations. The advantage of this approach is that the order of the methods can be arbitrarily high and that the associated linear systems one has to solve are very well-conditioned.