Automatic quadrature on Chebyshev points

DOI10.1016/0898-1221(88)90179-4zbMath0654.65016OpenAlexW1976617466MaRDI QIDQ1108736

M. Geppini, Francesco Romani

Publication date: 1988

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(88)90179-4

zbMATH Keywords

Chebyshev polynomialsChebyshev nodesautomatic quadratureClenshaw- Curtis schemeFejér first ruleoscillating integrandsRomberg scheme

Mathematics Subject Classification ID

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

Uses Software

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• Clenshaw-Curtis

Cites Work

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• A method for numerical integration on an automatic computer
• An investigation of Romberg quadrature
• On a modification of Romberg's algorithm
• Numerical Quadrature and Asymptotic Expansions
• The fast Fourier transform algorithm: Programming considerations in the calculation of sine, cosine and Laplace transforms
• Implementing Clenshaw-Curtis quadrature, I methodology and experience
• On a Device for Computing the e m (S n ) Transformation

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