Gauss-Lobatto to Bernstein polynomials transformation
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Publication:955093
DOI10.1016/j.cam.2007.12.007zbMath1157.65013OpenAlexW1974182195MaRDI QIDQ955093
Loredana Coluccio, Alfredo Eisinberg, Giuseppe Fedele
Publication date: 18 November 2008
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2007.12.007
orthogonal polynomialsnumerical examplesBernstein polynomialsGauss-Lobatto nodesleast squares approximationexplicit transformation
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Cites Work
- Discrete orthogonal polynomials on Gauss-Lobatto Chebyshev nodes
- Explicit solution of the polynomial least-squares approximation problem on Chebyshev extrema nodes
- Legendre-Bernstein basis transformations
- On the stability of transformations between power and Bernstein polynomial forms
- A test, based on conversion to the Bernstein polynomial basis, for an interval to be free of zeros applicable to polynomials in Chebyshev form and to transcendental functions approximated by Chebyshev series
- Convergence and round-off errors in a two-dimensional eigenvalue problem using spectral methods and Arnoldi-Chebyshev algorithm
- Construction of orthogonal bases for polynomials in Bernstein form on triangular and simplex domains
- Conversion and evaluation for two types of parametric surfaces constructed by NTP bases
- Point-based methods for estimating the length of a parametric curve
- The special functions and their approximations. Vol. I, II
- Vandermonde systems on Gauss-Lobatto Chebyshev nodes
- Jacobi-Bernstein Basis Transformation
- Robustness analysis of polynomials with polynomial parameter dependency using Bernstein expansion
- Transformation of Chebyshev–Bernstein Polynomial Basis
- A Note on the Connection Between Bezier Curves and Linear Optimal Control
- Generalized Bernstein polynomials and Bézier curves: an application of umbral calculus to computer aided geometric design
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