Symbolic-Numeric Methods for Nonlinear Integro-Differential Modeling

François Boulier (1, 2) , Hélène Castel (3) , Nathalie Corson (4) , Valentina Lanza (4) , François Lemaire (1, 2) , Adrien Poteaux (1, 2) , Alban Quadrat (1) , Nathalie Verdière (4)

1 GAIA - Géométrie, Algèbre, Informatique, Applications
2 CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
3 DC2N - Différenciation et communication neuronale et neuroendocrine
4 LMAH - Laboratoire de Mathématiques Appliquées du Havre

This paper presents a proof of concept for symbolic and numeric methods dedicated to the parameter estimation problem for models formulated by means of nonlinear integro-differential equations (IDE). In particular, we address: the computation of the model input-output equation and the numerical integration of IDE systems.

Domaines: Calcul formel [cs.SC]

François Boulier, Hélène Castel, Nathalie Corson, Valentina Lanza, François Lemaire, et al.. Symbolic-Numeric Methods for Nonlinear Integro-Differential Modeling. 2018. ⟨hal-01765409v1⟩