Name
Abstract | ||
|---|---|---|
In this paper we propose a numerical procedure in order to approximate the solution of two-dimensional Fredholm integral equations on unbounded domains like strips, half-planes or the whole real plane. We consider global methods of Nystrm types, which are based on the zeros of suitable orthogonal polynomials. One of the main interesting aspects of our procedures regards the quality of the involved functions, since we can successfully manage functions which are singular on the finite boundaries and can have an exponential growth on the infinite boundaries of the domains. Moreover the errors of the methods are comparable with the error of best polynomial approximation in the weighted spaces of functions that we go to treat. The convergence and the stability of the methods and the well conditioning of the final linear systems are proved and some numerical tests, which confirm the theoretical estimates, are given.
|
Year | DOI | Venue |
|---|---|---|
2018 | 10.1016/j.amc.2017.07.035 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Fredholm integral equations, Gaussian rules, Nystrm method, Orthogonal polynomials, Polynomial approximation | Nyström method,Mathematical optimization,Linear system,Orthogonal polynomials,Polynomial,Fredholm integral equation,Mathematical analysis,Computational mathematics,Integral equation,Fredholm theory,Mathematics | Journal |
Volume | ISSN | Citations |
318 | 0096-3003 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Donatella Occorsio | 1 | 9 | 4.00 |
| Maria Grazia Russo | 2 | 5 | 2.98 |