Publication: Performance of self-validating quadrature
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Performance of self-validating quadrature

- incollection -
 

Author(s)
George F. Corliss

Published in
Proceedings of the NATO Advanced Workshop on Numerical Integration: Recent Developments, Software, and Applications

Editor(s)
Pat Keast, Graeme Fairweather

Year
1987

Publisher
Reidel

Abstract
The interval implementation of Gaussian quadrature described in [Corliss1987ASV] required about 3 - 5 times as long to compute a guaranteed bound the ab f(x) dx as QUADPACK required to compute an estimate.

BibTeX
@INCOLLECTION{
         Corliss1987Pos,
       AUTHOR = "Corliss, George F.",
       TITLE = "Performance of self-validating quadrature",
       BOOKTITLE = "Proceedings of the NATO Advanced Workshop on Numerical Integration: Recent
         Developments, Software, and Applications",
       EDITOR = "Keast, Pat and Fairweather, Graeme",
       PUBLISHER = "Reidel",
       ADDRESS = "Boston",
       YEAR = "1987",
       PAGES = "239--259",
       REFERRED = "Zbl. Math 615 -- 65018; [Corliss1988AoD]; [Corliss1991OPa].",
       COMMENT = "quadrature for integral iteration.",
       KEYWORDS = "interval quadrature; automatic differentiation.",
       ABSTRACT = "The interval implementation of Gaussian quadrature described in [Corliss1987ASV]
         required about 3 - 5 times as long to compute a guaranteed bound the $ \int_a^b f(x)\,dx $
         as QUADPACK required to compute an estimate."
}


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