A Theory for Integer Only Numerical Analysis (Draft )

Rémy Malgouyres (1) , Henri-Alex Esbelin (1)

1 LIMOS - Laboratoire d'Informatique, de Modélisation et d'optimisation des Systèmes

This draft is to be presented at the 14 th International Conference on p−adic Analysis, in Aurillac, France, July 2016. The final version of this draft is to be submitted soon afterwards. The motivation for this work, as well as a basic 1D version, can be found in: Henri Alex Esbelin and Remy Malgouyres. Sparse convolution-based digital derivatives , fast estimation for noisy signals and approximation results, in Theoretical Computer Science 624: 2-24 (2016).

Mots clés: Calcul en nombres entiers; Fondements du Calcul Scientifique

Domaines: Arithmétique des ordinateurs; Mathématique discrète [cs.DM]; Analyse numérique [cs.NA]; Traitement du signal et de l'image [eess.SP]; Equations aux dérivées partielles [math.AP]; Analyse numérique [math.NA]

Rémy Malgouyres, Henri-Alex Esbelin. A Theory for Integer Only Numerical Analysis (Draft ). [Research Report] Labratoire LIMOS, UMR 6158. 2016. ⟨hal-01340673⟩