Multiscale Lavrentiev method for systems of Volterra equations of the first kind : Journal of Inverse and Ill-posed Problems Jump to ContentJump to Main Navigation
Show Summary Details

Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.


IMPACT FACTOR increased in 2015: 0.987
Rank 59 out of 312 in category Mathematics and 93 out of 254 in Applied Mathematics in the 2015 Thomson Reuters Journal Citation Report/Science Edition

SCImago Journal Rank (SJR) 2015: 0.583
Source Normalized Impact per Paper (SNIP) 2015: 1.106
Impact per Publication (IPP) 2015: 0.712

Mathematical Citation Quotient (MCQ) 2015: 0.43

249,00 € / $374.00 / £187.00*

Online
ISSN
1569-3945
See all formats and pricing
Select Volume and Issue
Loading journal volume and issue information...

30,00 € / $42.00 / £23.00

Get Access to Full Text

Multiscale Lavrentiev method for systems of Volterra equations of the first kind

A. Favini / L. Pandolfi

A. Favini, University of Bologna, Department of Mathematics, Piazza di Porta San Donato 5, Bologna, Italy. Email:

L. Pandolfi, Politecnico di Torino, Dipartimento di Matematica, Corso Duca degli Abruzzi 24, 10129 Torino, Italy. Email:

Citation Information: Journal of Inverse and Ill-posed Problems. Volume 16, Issue 3, Pages 221–238, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: 10.1515/JIIP.2008.014, May 2008

Publication History

Published Online:
2008-05-26

Abstract

We study the singular perturbation approach proposed by Lavrentiev for the regularization of systems of Volterra integral equations of the first kind, in the case that the kernel K(t) is not invertible for t = 0 and without assuming K(t) ~ t v I. We single out a class of kernels, which we call “diagonally dominant”. We show that when the kernel belongs to this class then it is possible to regularize the problem using a multiscale singular perturbation method.

Key words.: Volterra integral equations of first kind; Lavrentiev method; regularization

Citing Articles

Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.

[1]
Luciano Pandolfi
Annual Reviews in Control, 2010, Volume 34, Number 2, Page 245
[2]
A. Favini and L. Pandolfi
Numerical Functional Analysis and Optimization, 2008, Volume 29, Number 11-12, Page 1252
[3]
Luciano Pandolfi
Discrete and Continuous Dynamical Systems - Series S, 2010, Volume 4, Number 3, Page 745

Comments (0)

Please log in or register to comment.