inria-00456983, version 2
NumGfun: a Package for Numerical and Analytic Computation with D-finite Functions
ISSAC - International Symposium on Symbolic and Algebraic Computation (2010) 139-146
Résumé : This article describes the implementation in the software package NumGfun of classical algorithms that operate on solutions of linear differential equations or recurrence relations with polynomial coefficients, including what seems to be the first general implementation of the fast high-precision numerical evaluation algorithms of Chudnovsky & Chudnovsky. In some cases, our descriptions contain improvements over existing algorithms. We also provide references to relevant ideas not currently used in NumGfun.
- 1 : ALGORITHMS (INRIA Rocquencourt)
- INRIA
- Domaine : Informatique/Calcul formel
- Mots-clés : D-finite functions – linear differential equations – certified numerical computation – bounds – Maple
- Versions disponibles : v1 (16-02-2010) v2 (31-05-2010)
- inria-00456983, version 2
- http://hal.inria.fr/inria-00456983
- oai:hal.inria.fr:inria-00456983
- Contributeur : Marc Mezzarobba
- Soumis le : Samedi 8 Mai 2010, 12:24:13
- Dernière modification le : Mardi 10 Janvier 2012, 18:22:24
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