Approximations polynomiales rigoureuses et applications

Approximations polynomiales rigoureuses et applications

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Quand on veut évaluer ou manipuler une fonction mathématique f, il est fréquent de la remplacer par une approximation polynomiale p. On le fait, par exemple, pour implanter des fonctions élémentaires en machine, pour la quadrature ou la résolution d'équations différentielles ordinaires (ODE). D...

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Bibliographic Details
Main Author:	Joldes, Mioara Maria
Other Authors:	Lyon, École normale supérieure
Language:	en
Published:	2011
Subjects:	Calcul rigoureux Calculs validés Erreur d'approximation Approximations polynomiales rigoureuses Series de Chebyshev Modèles de Taylor Modèles de Chebyshev – Arithmétique Flottante Fonctions D-finies Méthodes d'encadrement Évaluation des fonctions Opérateurs Matériels Field Programmable Gate Arrays Rigorous Computing Validated Numerics Approximation Error Rigorous Polynomial Approximation Chebyshev Series Taylor Models Chebyshev Models Floating-Point Arithmetic D-finite functions Enclosure Methods Function Evaluation Hardware Operators
Online Access:	http://www.theses.fr/2011ENSL0655/document

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