Computations with half-range Chebyshev polynomials

DOI10.1016/j.cam.2011.10.006zbMath1242.65044OpenAlexW2040286575MaRDI QIDQ2428095

Andrej Perne, Bojan Orel

Publication date: 24 April 2012

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.2011.10.006

zbMATH Keywords

Chebyshev polynomialorthogonal polynomialderivative of half-range Chebyshev-Fourier sumhalf-range Chebyshev polynomialhalf-range Chebyshev-Fourier seriesproduct of half-range Chebyshev-Fourier sums

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Computation of special functions and constants, construction of tables (65D20) Numerical quadrature and cubature formulas (65D32) Numerical differentiation (65D25) Other special orthogonal polynomials and functions (33C47) Numerical approximation and evaluation of special functions (33F05)

Related Items

Ultraspherical moments on a set of disjoint intervals ⋮ Chebyshev-Fourier spectral methods for nonperiodic boundary value problems

Uses Software

• OPQ

Cites Work

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• How to generate unknown orthogonal polynomials out of known orthogonal polynomials
• Modified moments and Gaussian quadratures
• Orthogonal polynomials (in Matlab)
• An application of minimal solutions of three-term recurrences to Coulomb wave functions
• An algorithm for Gaussian quadrature given modified moments
• On the Fourier Extension of Nonperiodic Functions
• Theoretical Numerical Analysis
• On Generating Orthogonal Polynomials

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