Richardson extrapolation based on superconvergent Nyström and degenerate kernel methods

Autor:	M. Tahrichi, D. Sbibih, C. Allouch
Rok vydání:	2019
Předmět:	Kernel method Rate of convergence General Mathematics Kernel (statistics) Applied mathematics Richardson extrapolation Superconvergence Integral equation Projection (linear algebra) Mathematics Interpolation
Zdroj:	Afrika Matematika. 30:469-482
ISSN:	2190-7668 1012-9405
DOI:	10.1007/s13370-019-00660-9
Popis:	For computing the approximated solution of a second kind integral equation with a smooth kernel, we investigate in this paper the Richardson extrapolation using superconvergent Nystrom and degenerate kernel methods based on interpolatory projection onto the space of (discontinuous) piecewise polynomials of degree $$\le r - 1.$$ We obtain asymptotic series expansions for the approximate solutions and we show that the order of convergence 4r in the interpolation at Gauss points can be improved to $$4r+2$$ . We illustrate the improvement of the order of convergence by numerical experiments.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::922856905dc2268a295173c1a24e2ab9 https://doi.org/10.1007/s13370-019-00660-9 Zobrazit plný text záznamu Full text from SpringerLink