Chebyshev series method for computing weighted quadrature formulas

DOI10.1016/J.AMC.2011.10.024zbMath1244.65036OpenAlexW2006936197MaRDI QIDQ426998

Elías Berriochoa Esnaola, J. R. Illán-González, E. Martínez-Brey, Alicia Cachafeiro

Publication date: 13 June 2012

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

Full work available at URL: http://hdl.handle.net/11093/466

zbMATH Keywords

convergencenumerical examplesChebyshev seriesdifficult poleGauss quadrature formulaill-scaled integrandinterpolatory quadrature formulamodified weight functionrational quadrature formula

Mathematics Subject Classification ID

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

Related Items (2)

Evaluation of finite part integrals using a regularization technique that decreases instability ⋮ Gauss rules associated with nearly singular weights

Uses Software

• GQRAT

Cites Work

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• Moments in quadrature problems
• A method for numerical integration on an automatic computer
• Characterizing the measures on the unit circle with exact quadrature formulas in the space of polynomials
• Computing rational Gauss-Chebyshev quadrature formulas with complex poles: The algorithm
• Quadrature Formulas for Functions with Poles Near the Interval of Integration
• Properties of Interpolatory Product Integration Rules
• Algorithm 793
• Rational Gauss-Chebyshev quadrature formulas for complex poles outside $[-1,1$]

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