Using Parity to Accelerate the Computation of the Zeros of Truncated Legendre and Gegenbauer Polynomial Series and Gaussian Quadrature

DOI10.4208/eajam.140819.271119OpenAlexW3014656399MaRDI QIDQ4986594

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Publication date: 27 April 2021

Published in: Unnamed Author (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/eajam.140819.271119

zbMATH Keywords

Gaussian quadratureGegenbauer polynomialsLegendre polynomialsrootfindingparity

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05) Numerical quadrature and cubature formulas (65D32) Numerical computation of roots of polynomial equations (65H04)

Related Items (1)

Using parity to accelerate Hermite function computations: zeros of truncated Hermite series, Gaussian quadrature and Clenshaw summation

Cites Work

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• A companion matrix analogue for orthogonal polynomials
• Pseudospectral methods on a semi-infinite interval with application to the hydrogen atom: A comparison of the mapped Fourier-sine method with Laguerre series and rational Chebyshev expansions
• Orthogonal rational functions on a semi-infinite interval
• Computing the zeros of a Fourier series or a Chebyshev series or general orthogonal polynomial series with parity symmetries
• Solving Transcendental Equations

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