relation: http://eprints.imtlucca.it/1722/
title: Accuracy of approximations of solutions to Fredholm equations by kernel methods 
creator: Gnecco, Giorgio
creator: Kůrková, Věra
creator: Sanguineti, Marcello
subject: QA75 Electronic computers. Computer science
description: Approximate solutions to inhomogeneous Fredholm integral equations of the second kind by radial and kernel networks are investigated. Upper bounds are derived on errors in approximation of solutions of these equations by networks with increasing model complexity. The bounds are obtained using results from nonlinear approximation theory. The results are applied to networks with Gaussian and kernel units and illustrated by numerical simulations. 
publisher: Elsevier
date: 2012
type: Article
type: PeerReviewed
identifier:   Gnecco, Giorgio and Kůrková, Věra and Sanguineti, Marcello  Accuracy of approximations of solutions to Fredholm equations by kernel methods.  Applied Mathematics and Computation, 218 (14).  7481 - 7497.  ISSN 0096-3003      (2012)  
relation: http://www.sciencedirect.com/science/article/pii/S0096300312000483
relation: 10.1016/j.amc.2012.01.015