Noniterative Computation of Gauss--Jacobi Quadrature

DOI10.1137/18M1179006zbMath1408.33020arXiv1804.07076OpenAlexW2962947414WikidataQ128312466 ScholiaQ128312466MaRDI QIDQ4628398

Amparo Gil, Javier Segura, Nico M. Temme

Publication date: 13 March 2019

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.07076

zbMATH Keywords

Jacobi polynomialsasymptotic expansionsGaussian quadratures

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Computation of special functions and constants, construction of tables (65D20) Numerical quadrature and cubature formulas (65D32)

Related Items (6)

Fast algorithms using orthogonal polynomials ⋮ Asymptotic computation of classical orthogonal polynomials ⋮ High-order asymptotic expansions of Gaussian quadrature rules with classical and generalized weight functions ⋮ Asymptotic expansions of Jacobi polynomials and of the nodes and weights of Gauss-Jacobi quadrature for large degree and parameters in terms of elementary functions ⋮ Fast and reliable high-accuracy computation of Gauss-Jacobi quadrature ⋮ Fast, reliable and unrestricted iterative computation of Gauss-Hermite and Gauss-Laguerre quadratures

Uses Software

• DLMF
• FastGaussQuadrature
• LaguerrePol

Cites Work

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