InforLorV4, Hal, Curation, bibRecord, 003467

Multiple-Precision Correctly Rounded Gauss-Legendre Quadrature

Identifieur interne : 003467 ( Hal/Curation ); précédent : 003466; suivant : 003468

Multiple-Precision Correctly Rounded Gauss-Legendre Quadrature

Auteurs : Laurent Fousse [France]

Source :

RBID : Hal:inria-00070311

English descriptors

mix :
- CORRECT ROUNDING, GAUSS-LEGENDRE, MULTIPLE PRECISION, NUMERICAL INTEGRATION.

Abstract

Numerical integration is an operation that is frequently available in multiple precision numerical software packages. The different quadrature schemes used are considered well studied but the roundoff errors that result from the computation are often neglected, and the actual accuracy of the results are therefore seldom rigorously proven. We focus on the Gauss-Legendre quadrature scheme and describe the algorithms needed in our implementation. A thorough error analysis is given as well as experimental error measurements and timings.

Url:

https://hal.inria.fr/inria-00070311

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Hal:inria-00070311

Le document en format XML

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Multiple-Precision Correctly Rounded Gauss-Legendre Quadrature

Multiple-Precision Correctly Rounded Gauss-Legendre Quadrature

Source :

English descriptors

Abstract

Links toward previous steps (curation, corpus...)

Links to Exploration step

Le document en format XML

Pour manipuler ce document sous Unix (Dilib)

Pour mettre un lien sur cette page dans le réseau Wicri