Nystrom Methods for Fredholm Integral Equations Using Equispaced Points

被引：19

作者：

Occorsio, Donatella ^{[1
]}

Russo, Maria Grazia ^{[1
]}

机构：

[1] Univ Basilicata, Dept Math Comp Sci & Econ, I-85100 Potenza, Italy

来源：

FILOMAT | 2014年 / 28卷 / 01期

关键词：

Fredholm integral equations; Nystrom method; Generalized Bernstein polynomials; CENTROSYMMETRIC MATRICES;

D O I：

10.2298/FIL1401049O

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we investigate some Nystrom methods for Fredholm integral equations in the interval [0, 1]. We give an overview of the order of convergence, which depends on the smoothness of the involved functions. In particular, we consider the Nystrom methods based on the so called Generalized Bernstein quadrature rule, on a Romberg scheme and on the so-called IMT rule. We prove that the proposed methods are convergent, stable and well conditioned. Also, we give several numerical tests for comparing these three methods.

引用

页码：49 / 63

页数：15

共 23 条

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Abu-Jeib I. T., 2006, Missouri J. Math. Sci., V18, P1

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