Absolute and Relative Error Control in Composite Interpolatory Quadrature: the CIRQUE Algorithm

DOI10.5539/JMR.V3N3P63zbMath1264.65031OpenAlexW2992031384MaRDI QIDQ4917861

J. S. C. Prentice

Publication date: 3 May 2013

Published in: Journal of Mathematics Research (Search for Journal in Brave)

Full work available at URL: http://ccsenet.org/journal/index.php/jmr/article/view/9445/8108

zbMATH Keywords

numerical exampleserror controlroundoff errorrelative errorGauss-Legendre quadratureabsolute errorSimpson's ruletrapezium ruleCIRQUE algorithmcomposite interpolatory quadrature

Mathematics Subject Classification ID

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

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