A quadrature formula of Clenshaw-Curtis type for the Gegenbauer weight-function

DOI10.1016/j.cam.2004.08.014zbMath1090.41011OpenAlexW2012934634MaRDI QIDQ1775597

D. B. Hunter, H. V. Smith

Publication date: 4 May 2005

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2004.08.014

zbMATH Keywords

Chebyshev polynomialsClenshaw-Curtis quadratureNumerical integrationGegenbauer weight-function

Mathematics Subject Classification ID

Approximate quadratures (41A55)

Related Items (5)

A high-order integral algorithm for highly singular PDE solutions in Lipschitz domains ⋮ The numerical evaluation of the error term in a quadrature formula of Clenshaw-Curtis type for the Gegenbauer weight function ⋮ Chebyshev series expansion of inverse polynomials ⋮ Nontensorial Clenshaw-Curtis cubature ⋮ Convergence properties of a quadrature formula of Clenshaw-Curtis type for the Gegenbauer weight function

Cites Work

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• A method for numerical integration on an automatic computer
• Gaussian quadrature of Chebyshev polynomials
• Error Estimates for the Clenshaw-Curtis Quadrature
• Error bounds for a Chebyshev quadrature scheme

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