Nyström methods for Fredholm integral equations using equispaced points | Zendy

Donatella Occorsio | Zendy; Maria Grazia Russo | Zendy

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Nyström methods for Fredholm integral equations using equispaced points

Author(s) -

Donatella Occorsio,

Maria Grazia Russo

Publication year - 2014

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1401049o

Subject(s) - mathematics , quadrature (astronomy) , smoothness , nyström method , fredholm integral equation , interval (graph theory) , integral equation , convergence (economics) , mathematical analysis , combinatorics , engineering , economic growth , electrical engineering , economics

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 involvedfunctions. In particular, we consider the Nystr¨om methods based on the so called Generalized Bernsteinquadrature rule, on a Romberg scheme and on the so-called IMT rule. We prove that the proposed methodsare convergent, stable and well conditioned. Also, we give several numerical tests for comparing thesethree methods

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