Numerical methods for Fredholm integral equations with singular right-hand sides

FERMO, LUISA;
2010-01-01

Abstract

Fredholm integral equations with the right-hand side having singularities at the endpoints are considered. The singularities are moved into the kernel that is subsequently regularized by a suitable one-to-one map. The Nyström method is applied to the regularized equation. The convergence, stability and well conditioning of the method is proved in spaces of weighted continuous functions. The special case of the weakly singular and symmetric kernel is also investigated. Several numerical tests are included.
2010
2009
Inglese
33
3
305
330
26
WOS:000281667600003
2-s2.0-77956437021
Esperti anonimi
scientifica
Fredholm integral equations; Nyström method; Projection methods; Applied mathematics; Computational mathematics
no
Fermo, Luisa; Russo, M. G.
1.1 Articolo in rivista
info:eu-repo/semantics/article
1 Contributo su Rivista::1.1 Articolo in rivista
262
2
reserved
Files in This Item:
File Size Format  
FermoRusso_Adv.pdf

Solo gestori archivio

Type: versione editoriale
Size 479.45 kB
Format Adobe PDF
& nbsp; View / Open   Request a copy
479.45 kB Adobe PDF & nbsp; View / Open   Request a copy

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

Questionnaire and social

Share on:
Impostazioni cookie