STABILITY OF COLLOCATION FOR WEAKLY SINGULAR VOLTERRA-EQUATIONS

被引：12

作者：

BLANK, L

机构：

[1] Institut für Angewandte Mathematik, Universität Bonn, Wegelerstrasse 6

来源：

IMA JOURNAL OF NUMERICAL ANALYSIS | 1995年 / 15卷 / 03期

关键词：

D O I：

10.1093/imanum/15.3.357

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For Abel integral equations of the second kind, we investigate the stability of the collocation method with polynomial splines. We characterize the stability domain in terms of the eigenvalues of the power series, which arises from the method employed. Furthermore, we prove strong stability and provide a rigorous discussion of the boundary of the stability region. A few examples are considered in more depth and numerical illustrations are given.

引用

页码：357 / 375

页数：19

共 9 条

[1]

[Anonymous], 1953, HIGHER TRANSCENDENTA

[2]

BLANK L, 1991, BONNER MATH SCHRIFTE, V227

[3]

Brunner H., 1986, CWI MONOGRAPHS, V3

[4]

Butcher J. C., 1987, NUMERICAL ANAL ORDIN