Algorithm 793

DOI10.1145/317275.317282zbMath0961.65019OpenAlexW2058626020WikidataQ113310088 ScholiaQ113310088MaRDI QIDQ4512816

Walter Gautschi

Publication date: 6 November 2000

Published in: ACM Transactions on Mathematical Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1145/317275.317282

zbMATH Keywords

Gauss-type quadrature rulesexact for rational functionsgeneralized Fermi-Dirac and Bose Einstein integralsrational Gauss formulae

Mathematics Subject Classification ID

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

Related Items

Convergence and computation of simultaneous rational quadrature formulas ⋮ Chebyshev series method for computing weighted quadrature formulas ⋮ The existence and construction of rational Gauss-type quadrature rules ⋮ Design of quadrature rules for Müntz and Müntz-logarithmic polynomials using monomial transformation ⋮ Rational quadrature formulae on the unit circle with arbitrary poles ⋮ On computing rational Gauss-Chebyshev quadrature formulas ⋮ Evaluation of finite part integrals using a regularization technique that decreases instability ⋮ Computation of integrals over the unit circle with nearby poles ⋮ Quadrature and orthogonal rational functions ⋮ Gauss rules associated with nearly singular weights ⋮ The use of rational functions in numerical quadrature ⋮ The Hardy-Littlewood function: an exercise in slowly convergent series ⋮ GQRAT ⋮ Gaussian rational quadrature formulas for ill-scaled integrands ⋮ Error bounds for rational quadrature formulae of analytic functions

Uses Software

• ORTHPOL

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