Title
Numerical methods for Fredholm integral equations on the square.
Abstract
In this paper we shall investigate the numerical solution of two-dimensional Fredholm integral equations by Nyström and collocation methods based on the zeros of Jacobi orthogonal polynomials. The convergence, stability and well conditioning of the method are proved in suitable weighted spaces of functions. Some numerical examples illustrate the efficiency of the methods.
Year
DOI
Venue
2011
10.1016/j.amc.2011.07.053
Applied Mathematics and Computation
Keywords
Field
DocType
Fredholm integral equations,Projection methods,Nyström method
Nyström method,Mathematical optimization,Orthogonal polynomials,Orthogonal collocation,Mathematical analysis,Fredholm integral equation,Integral equation,Fredholm theory,Collocation method,Integral transform,Mathematics
Journal
Volume
Issue
ISSN
218
5
0096-3003
Citations 
PageRank 
References 
4
0.59
5
Authors
2
Name
Order
Citations
PageRank
Donatella Occorsio194.00
Maria Grazia Russo252.98