Multiple-Precision Correctly rounded Newton-Cotes quadrature
Identifieur interne : 004C23 ( Main/Exploration ); précédent : 004C22; suivant : 004C24Multiple-Precision Correctly rounded Newton-Cotes quadrature
Auteurs : Laurent Fousse [Niger]Source :
- RAIRO - Theoretical Informatics and Applications [ 0988-3754 ] ; 2007-04-24.
Descripteurs français
- Pascal (Inist)
- Wicri :
- topic : Calcul scientifique, Logiciel, Ordinateur.
English descriptors
- KwdEn :
Abstract
Numerical integration is an important operation for scientific computations. Although the different quadrature methods have been well studied from a mathematical point of view, the analysis of the actual error when performing the quadrature on a computer is often neglected. This step is however required for certified arithmetics.
We study the Newton-Cotes quadrature scheme in the context of multiple-precision arithmetic and give enough details on the algorithms and the error bounds to enable software developers to write a Newton-Cotes quadrature with bounded error.
Url:
DOI: 10.1051/ita:2007004
Affiliations:
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Le document en format XML
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We study the Newton-Cotes quadrature scheme in the context of multiple-precision arithmetic and give enough details on the algorithms and the error bounds to enable software developers to write a Newton-Cotes quadrature with bounded error.</div></front></TEI><affiliations><list><country><li>Niger</li></country></list><tree><country name="Niger"><noRegion><name sortKey="Fousse, Laurent" sort="Fousse, Laurent" uniqKey="Fousse L" first="Laurent" last="Fousse">Laurent Fousse</name></noRegion></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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