A generalization of the Wiener rational basis functions on infinite intervals: Part I–derivation and properties

DOI10.1090/S0025-5718-2010-02437-8zbMath1219.42013arXiv0905.4911OpenAlexW1990621673MaRDI QIDQ3015046

Akil C. Narayan, Jan S. Hesthaven

Publication date: 8 July 2011

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.4911

zbMATH Keywords

fast Fourier transformJacobi polynomialsgeneralized Wiener basisorthogonal rational basis functionssparse connection propertiessparse Galerkin matrix

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Approximation by rational functions (41A20) Numerical methods for discrete and fast Fourier transforms (65T50)

Related Items (3)

Numerical and perturbative computations of solitary waves of the Benjamin-Ono equation with higher order nonlinearity using Christov rational basis functions ⋮ Numerical approximation of the fractional Laplacian on \(\mathbb{R}\) using orthogonal families ⋮ Computation of connection coefficients and measure modifications for orthogonal polynomials

Uses Software

• OPQ

Cites Work

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