Error bounds for the numerical evaluation of Legendre polynomials by a three-term recurrence
type: Item
instance of: scholarly article
title: Error bounds for the numerical evaluation of Legendre polynomials by a three-term recurrence
zbMATH Open document ID: 1464.65021
author: Tomasz Hrycak
author: Sebastian Schmutzhard
publication date: 2021-06-25T00:00:00Z
full work available at URL: http://etna.mcs.kent.edu/volumes/2021-2030/vol54/abstract.php
Mathematics Subject Classification ID: 65D20
Mathematics Subject Classification ID: 65Q30
Mathematics Subject Classification ID: 33F05
zbMATH DE Number: 7363552
zbMATH Keywords: Legendre polynomials
zbMATH Keywords: three-term recurrence
zbMATH Keywords: floating-point arithmetic
describes a project that uses: FastGaussQuadrature
describes a project that uses: mctoolbox
describes a project that uses: Digital Library of Mathematical Functions
MaRDI profile type: Publication
OpenAlex ID: W3154259272
cites work: \(\mathcal{O}(1)\) computation of Legendre polynomials and Gauss-Legendre nodes and weights for parallel computing
cites work: Fast and Accurate Computation of Gauss--Legendre and Gauss--Jacobi Quadrature Nodes and Weights
cites work: Accuracy and Stability of Numerical Algorithms
cites work: Evaluation of Chebyshev polynomials by a three-term recurrence in floating-point arithmetic
cites work: Inequalities involving Gegenbauer polynomials and their tangent lines
cites work: Evaluation of Legendre polynomials by a three-term recurrence in floating-point arithmetic
cites work: Fast and Rigorous Arbitrary-Precision Computation of Gauss--Legendre Quadrature Nodes and Weights
cites work: Q3579593
DOI: 10.1553/ETNA_VOL54S323
published in: ETNA - Electronic Transactions on Numerical Analysis
description: scientific article; zbMATH DE number 7363552