A numerical study of iterative refinement schemes for weakly singular integral equations

• Type: Article in International Scientific Journal
• Date: 2005

Authors

dalmeida, f (Author) FEUP; titaud, o (Author) Other; vasconcelos, pb (Author) FEP

Journal

Title: Applied Mathematics Letters

Vol. 18

Pages: 571-576

ISSN: 0893-9659

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 7 Citations

Scopus - 7 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-000-3ES

DOI: 10.1016/j.aml.2004.03.020

Abstract (EN): Three iterative refinement schemes are studied for approximating the solutions of linear weakly singular Fredholm integral equations of the second kind. The rates of convergence and computational costs of the three schemes are studied and compared with the classical approach by applying them respectively to: (i) a sparse linear system associated with an integral equation modelling a real life Astrophysics problem, and (ii) an integral equation whose associated linear problem is dense.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 6