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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
Inria Lille - Nord Europe
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
Abstract : 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.
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https://hal.archives-ouvertes.fr/hal-01765409
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Submitted on : Friday, June 15, 2018 - 10:24:22 AM
Last modification on : Friday, January 8, 2021 - 3:14:02 PM

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CRISTAL-CFHP | CNRS | LMAH | UNILEHAVRE | CRISTAL | INRIA | COMUE-NORMANDIE | UNIROUEN | UNIV-LILLE | DC2N

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François Boulier, Hélène Castel, Nathalie Corson, Valentina Lanza, François Lemaire, et al.. Symbolic-Numeric Methods for Nonlinear Integro-Differential Modeling. CASC 2018 - The 20th International Workshop on Computer Algebra in Scientific Computing, Sep 2018, Lille, France. ⟨10.1007/978-3-319-99639-4_6⟩. ⟨hal-01765409v2⟩

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