Gauss-Lobatto to Bernstein polynomials transformation

Authors:
Loredana Coluccio;Alfredo Eisinberg;Giuseppe Fedele
Affiliations:
Dip. Elettronica Informatica e Sistemistica, Universití degli Studi della Calabria, 87036, Rende (Cs), Italy;Dip. Elettronica Informatica e Sistemistica, Universití degli Studi della Calabria, 87036, Rende (Cs), Italy;Dip. Elettronica Informatica e Sistemistica, Universití degli Studi della Calabria, 87036, Rende (Cs), Italy
Venue:
Journal of Computational and Applied Mathematics
Year:
2008

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Abstract

The aim of this paper is to transform a polynomial expressed as a weighted sum of discrete orthogonal polynomials on Gauss-Lobatto nodes into Bernstein form and vice versa. Explicit formulas and recursion expressions are derived. Moreover, an efficient algorithm for the transformation from Gauss-Lobatto to Bernstein is proposed. Finally, in order to show the robustness of the proposed algorithm, experimental results are reported.