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dc.contributor.authorSaou, Abdelmonaim
dc.contributor.authorBarrera Rosillo, Domingo
dc.identifier.citationSaou, A... [et al.]. Superconvergent Nyström and Degenerate Kernel Methods for Integro-Differential Equations. Mathematics 2022, 10, 893. []es_ES
dc.descriptionThis research received no external funding and APC was funded by University of Granada.es_ES
dc.description.abstractThe aim of this paper is to carry out an improved analysis of the convergence of the Nystrom and degenerate kernel methods and their superconvergent versions for the numerical solution of a class of linear Fredholm integro-differential equations of the second kind. By using an interpolatory projection at Gauss points onto the space of (discontinuous) piecewise polynomial functions of degree <= r - 1, we obtain convergence order 2r for degenerate kernel and Nystrom methods, while, for the superconvergent and the iterated versions of theses methods, the obtained convergence orders are 3r + 1 and 4r, respectively. Moreover, we show that the optimal convergence order 4r is restored at the partition knots for the approximate solutions. The obtained theoretical results are illustrated by some numerical examples.es_ES
dc.description.sponsorshipUniversity of Granadaes_ES
dc.rightsAtribución 3.0 España*
dc.subjectDegenerate kernel methodes_ES
dc.subjectNyström methodes_ES
dc.subjectFredholm integro-differential equationes_ES
dc.titleSuperconvergent Nyström and Degenerate Kernel Methods for Integro-Differential Equationses_ES

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Atribución 3.0 España
Except where otherwise noted, this item's license is described as Atribución 3.0 España