Geodesic
Bivariate interpolation at Xu points: results, extensions and applications
Electronic transactions on numerical analysis, Tome 25 (2006), pp. 1-16.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In a recent paper, Y. Xu proposed a set of Chebyshev-like points for polynomial interpolation on the square . We have recently proved that the Lebesgue constant of these points grows like of the $$########$\ddot ${\S}$\copyright ${\S} degree (as with the best known points for the square), and we have implemented an accurate version of their La- grange interpolation formula at linear cost. Here we construct non-polynomial Xu-like interpolation formulas on bivariate compact domains with various geometries, by means of composition with suitable smooth transformations.$$
Classification : 65D05
Keywords: bivariate polynomial interpolation, xu points, Lebesgue constant, domains transformations, generalized rectangles, generalized sectors, large scattered data sets, surface compression 
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     title = {Bivariate interpolation at {Xu} points: results, extensions and applications},
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Bos, Len; Caliari, Marco; De Marchi, Stefano; Vianello, Marco. Bivariate interpolation at Xu points: results, extensions and applications. Electronic transactions on numerical analysis, Tome 25 (2006), pp. 1-16. http://geodesic.mathdoc.fr/item/ETNA_2006__25__a32/