Convergence properties of a quadrature formula of Clenshaw-Curtis type for the Gegenbauer weight function

DOI10.1007/s10543-014-0520-2zbMath1328.65072OpenAlexW2047300353MaRDI QIDQ747641

H. V. Smith

Publication date: 19 October 2015

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-014-0520-2

zbMATH Keywords

convergence rateGegenbauer weight functionClenshaw-Curtis quadratureLobatto-Chebyshev quadrature

Mathematics Subject Classification ID

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

Cites Work

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• The numerical evaluation of the error term in a quadrature formula of Clenshaw-Curtis type for the Gegenbauer weight function
• A method for numerical integration on an automatic computer
• A quadrature formula of Clenshaw-Curtis type for the Gegenbauer weight-function
• The kink phenomenon in Fejér and Clenshaw-Curtis quadrature
• The evaluation of the error term in some Gauss-type formulae for the approximation of Cauchy Principal Value integrals
• Clenshaw–Curtis and Gauss–Legendre Quadrature for Certain Boundary Element Integrals
• Is Gauss Quadrature Better than Clenshaw–Curtis?

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