Numerical methods for Fredholm integral equations based on Padua points

Abstract

The numerical solution of two-dimensional Fredholm integral equations on the square by Nyström and collocation methods based on the Padua points is investigated. The convergence, stability and well conditioning of the methods are proved in suitable subspaces of continuous functions of Sobolev type. Some numerical examples illustrate the efficiency of the methods. A comparison with the tensorial approximation methods, of Nyström and collocation type, based on Legendre zeros, is given.

Laguardia A. L., Russo M. G. (2022) "Numerical methods for Fredholm integral equations based on Padua points " Dolomites Research Notes on Approximation, 15(5), 39-50. DOI: 10.14658/PUPJ-DRNA-2022-5-4  
Year of Publication
2022
Journal
Dolomites Research Notes on Approximation
Volume
15
Issue Number
5
Start Page
39
Last Page
50
Date Published
12/2022
ISSN Number
2035-6803
Serial Article Number
4
DOI
10.14658/PUPJ-DRNA-2022-5-4
Issue
Section
SpecialIssue5