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Nyström methods for Fredholm integral equations using equispaced points
| Content Provider | Semantic Scholar |
|---|---|
| Author | Occorsio, Donatella Russo, Maria Grazia |
| Copyright Year | 2014 |
| Abstract | In this paper we investigate some Nystr¨ om methods for Fredholm integral equations in the interval [0,1]. We give an overview of the order of convergence, which depends on the smoothness of the involved functions. In particular, we consider the Nystr¨ om methods based on the so called Generalized Bernstein quadrature rule, on a Romberg scheme and on the so-called IMT rule. We prove that the proposed methods are convergent, stable and well conditioned. Also, we give several numerical tests for comparing these three methods. |
| Starting Page | 49 |
| Ending Page | 63 |
| Page Count | 15 |
| File Format | PDF HTM / HTML |
| DOI | 10.2298/fil1401049o |
| Volume Number | 28 |
| Alternate Webpage(s) | http://www.doiserbia.nb.rs/img/doi/0354-5180/2014/0354-51801401049O.pdf |
| Alternate Webpage(s) | https://doi.org/10.2298/fil1401049o |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
