Additive Normal Forms and Integration of ...
Type de document :
Compte-rendu et recension critique d'ouvrage
Titre :
Additive Normal Forms and Integration of Differential Fractions
Auteur(s) :
Boulier, François [Auteur]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Lallemand, Joseph [Auteur]
École normale supérieure - Cachan [ENS Cachan]
Lemaire, Francois [Auteur]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Regensburger, Georg [Auteur]
Johann Radon Institute for Computational and Applied Mathematics [RICAM]
Rosenkranz, Markus [Auteur]
University of Kent [Canterbury]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Lallemand, Joseph [Auteur]
École normale supérieure - Cachan [ENS Cachan]
Lemaire, Francois [Auteur]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Regensburger, Georg [Auteur]
Johann Radon Institute for Computational and Applied Mathematics [RICAM]
Rosenkranz, Markus [Auteur]
University of Kent [Canterbury]
Titre de la revue :
Journal of Symbolic Computation
Éditeur :
Elsevier
Date de publication :
2016
ISSN :
0747-7171
Mot(s)-clé(s) en anglais :
Differential algebra
differential fraction
integration
differential fraction
integration
Discipline(s) HAL :
Informatique [cs]/Calcul formel [cs.SC]
Résumé en anglais : [en]
This paper presents two new normal forms for fractions ofdifferential polynomials, as well as algorithms for computingthem. The first normal form allows to write a fraction as thederivative of a fraction plus a non ...
Lire la suite >This paper presents two new normal forms for fractions ofdifferential polynomials, as well as algorithms for computingthem. The first normal form allows to write a fraction as thederivative of a fraction plus a non integrable part. The secondnormal form is an extension of the first one, involving iterateddifferentiations. The main difficulty in this paper consists indefining normal forms which are linear operations over the fieldof constants, a property which was missing in our previous works.Our normal forms do not require fractions to be converted intopolynomials, a key feature for further problems such asintegrating differential fractions, and more generally solvingdifferential equations.Lire moins >
Lire la suite >This paper presents two new normal forms for fractions ofdifferential polynomials, as well as algorithms for computingthem. The first normal form allows to write a fraction as thederivative of a fraction plus a non integrable part. The secondnormal form is an extension of the first one, involving iterateddifferentiations. The main difficulty in this paper consists indefining normal forms which are linear operations over the fieldof constants, a property which was missing in our previous works.Our normal forms do not require fractions to be converted intopolynomials, a key feature for further problems such asintegrating differential fractions, and more generally solvingdifferential equations.Lire moins >
Langue :
Anglais
Vulgarisation :
Non
Collections :
Source :
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