High-precision Gauss-Turán quadrature rules for Laguerre and Hermite weight functions

DOI10.1007/S11075-013-9774-ZzbMath1298.65041OpenAlexW2005059770MaRDI QIDQ742847

Walter Gautschi

Publication date: 19 September 2014

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-013-9774-z

zbMATH Keywords

Newton-Kantorovich methodrecurrence coefficientscomputation of nodes and weightsGauss-Turán quadrature rulesLaguerre and Hermite weight functions

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (5)

Estimating the error of Gaussian quadratures with simple and multiple nodes by using their extensions with multiple nodes ⋮ Error estimations of Turán formulas with Gori-Micchelli and generalized Chebyshev weight functions ⋮ Error estimates of Gaussian-type quadrature formulae for analytic functions on ellipses -- survey of recent results ⋮ HPGT ⋮ Weighted nonstandard quadrature formulas based on values of linear differential operators

Uses Software

• OPQ
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Cites Work

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• Construction of \(\sigma\)-orthogonal polynomials and Gaussian quadrature formulas
• Quadrature formulae connected to sigma-orthogonal polynomials
• Calculation of Gaussian-type quadratures with multiple nodes
• Quadrature Formulas with Multiple Gaussian Nodes

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