VERIFICATION METHODS FOR FREDHOLM INTEGRAL-EQUATIONS

被引：3
|
作者：
DOBNER, HJ
机构：
[1] Mathematisches Institut II, Universität Karlsruhe, Englerstr. 2
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 1993年 / 48卷 / 3-4期
关键词：
VERIFICATION METHOD; GUARANTEED ERROR BOUND; FREDHOLM INTEGRAL EQUATION;
D O I：
10.1080/00207169308804207
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper verification methods for Fredholm integral equations are considered. By these methods the numerical approximation is computed together with mathematically guaranteed error bounds of high quality. The foundations for such numerics is described and then applied to Fredholm integral equations. We conclude by some numerical examples demonstrating the effectiveness of such new numerical schemes.
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页码：251 / 261
页数：11
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