Article ID Journal Published Year Pages File Type
4641465 Journal of Computational and Applied Mathematics 2008 11 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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