Averaged Nyström interpolants for the solution of Fredholm integral equations of the second kind

被引：5

作者：

Fermo, Luisa ^{[1
]}

Reichel, Lothar ^{[2
]}

Rodriguez, Giuseppe ^{[1
]}

Spalevic, Miodrag M. ^{[3
]}

机构：

[1] Univ Cagliari, Dept Math & Comp Sci, Via Osped 72, I-09124 Cagliari, Italy

[2] Kent State Univ, Dept Math Sci, Kent, OH 44242 USA

[3] Univ Belgrade, Fac Mech Engn, Dept Math, Kraljice Marije 16, Belgrade 11120, Serbia

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2024年 / 467卷

关键词：

Fredholm integral equations of the second kind; Gauss quadrature rule; Averaged quadrature rule; Nystrom method; QUADRATURE-FORMULAS; NUMERICAL TREATMENT; NYSTROM METHOD; SYSTEMS;

D O I：

10.1016/j.amc.2023.128482

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Fredholm integral equations of the second kind that are defined on a finite or infinite interval arise in many applications. This paper discusses Nystrom methods based on Gauss quadrature rules for the solution of such integral equations. It is important to be able to estimate the error in the computed solution, because this allows the choice of an appropriate number of nodes in the Gauss quadrature rule used. This paper explores the application of averaged and weighted averaged Gauss quadrature rules for this purpose and introduces new stability properties of them.

引用

页数：20

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