Guillaume Costeseque Home Page

PhD project: Traffic modeling: from microscopic to macroscopic
Subject: (in French)

Supervisor: Régis Monneau in collaboration with Jean-Patrick Lebacque

Research laboratories:

CERMICS (Centre de Recherche et d'Enseignements en Mathématiques et Calcul Scientifique) at Ecole des Ponts ParisTech and
GRETTIA (Génie des Réseaux de Transports Terrestres et d'Informatique Avancée) at Institut Français des Sciences et Technologies des Transports, de l'Aménagement et des Réseaux (IFSTTAR, former-INRETS)

Research interests: Traffic modeling involves different observation scales. It is then possible to characterize each model depending on their precision of approach. Typically, one can distinguish microscopic and macroscopic models. The first ones apply to represent the individual evolution of vehicles while the second ones want to reproduce the flowing stream of road users. Henceforth, traffic simulation highlights a real need in terms of rigorous passage between both representation scales. Few works offer such a link from the microscopic models to the macroscopic ones. Our goal is to highlight this need, searching for coherence between microscopic and macroscopic scales. The PhD work may use some homogenization results and the viscosity solutions theory for Partial Differential Equations (PDE).

Activities: Member of the ANR HJnet project (Hamilton-Jacobi equations on heterogeneous structures and networks) - Coordinator: Olivier Ley.

See also this short presentation on the French blog of "Mathematics of Planet Earth".

Current work / Papers:

G. Costeseque, Modélisation du trafic routier : passage du microscopique au macroscopique, Master Thesis, ED MEGA, Lyon, September 2011.
G. Costeseque, J.P. Lebacque, Intersection modeling using a convergent scheme based on Hamilton-Jacobi equation, Proceedings of 15th EWGT, Social & Behavioral Sciences, Volume 54, October 2012, 736-748.
G. Costeseque, Modélisation et simulation dans le contexte du trafic routier, In F. Varenne et M. Silberstein Eds, Modéliser & simuler. Epistémologies et pratiques de la modélisation et de la simulation, Editions Matériologiques, April 2013.
G. Costeseque, J.P. Lebacque, R. Monneau, A convergent scheme for Hamilton-Jacobi equations on a junction: application to traffic, preprint 2013.

Distinctions:

first abertis Award for Transport Infrastructure Management in the Masters category, awarded by the abertis chair in France (MSc. thesis)
1st International Abertis Prize for Research in the dissertation category, awarded by the abertis-UPC Chair and the chaire abertis-École des Ponts ParisTech-IFSTTAR

Education: Please find enclosed my CV (pdf

)

Guillaume Costeseque Second year PhD student (ED MSTIC) at Ecole des Ponts ParisTech (France) supported by the French Ministry of Ecology, Sustainable Development and Energy (MEDDE)		CERMICS - ENPC Team: PDE and materials Office: Aile Belgrand - B309 Tel : +33 (0)1.64.15.35.17 or: +33 (0)1.81.66.83.82 Fax : +33 (0)1.64.15.35.86 Mail : costeseg_AT_cermics.enpc.fr

PhD project: Traffic modeling: from microscopic to macroscopic Subject: (in French) Supervisor: Régis Monneau in collaboration with Jean-Patrick Lebacque Research laboratories: CERMICS (Centre de Recherche et d'Enseignements en Mathématiques et Calcul Scientifique) at Ecole des Ponts ParisTech and GRETTIA (Génie des Réseaux de Transports Terrestres et d'Informatique Avancée) at Institut Français des Sciences et Technologies des Transports, de l'Aménagement et des Réseaux (IFSTTAR, former-INRETS) Research interests: Traffic modeling involves different observation scales. It is then possible to characterize each model depending on their precision of approach. Typically, one can distinguish microscopic and macroscopic models. The first ones apply to represent the individual evolution of vehicles while the second ones want to reproduce the flowing stream of road users. Henceforth, traffic simulation highlights a real need in terms of rigorous passage between both representation scales. Few works offer such a link from the microscopic models to the macroscopic ones. Our goal is to highlight this need, searching for coherence between microscopic and macroscopic scales. The PhD work may use some homogenization results and the viscosity solutions theory for Partial Differential Equations (PDE). Activities: Member of the ANR HJnet project (Hamilton-Jacobi equations on heterogeneous structures and networks) - Coordinator: Olivier Ley. See also this short presentation on the French blog of "Mathematics of Planet Earth". Current work / Papers: G. Costeseque, Modélisation du trafic routier : passage du microscopique au macroscopique, Master Thesis, ED MEGA, Lyon, September 2011. G. Costeseque, J.P. Lebacque, Intersection modeling using a convergent scheme based on Hamilton-Jacobi equation, Proceedings of 15th EWGT, Social & Behavioral Sciences, Volume 54, October 2012, 736-748. G. Costeseque, Modélisation et simulation dans le contexte du trafic routier, In F. Varenne et M. Silberstein Eds, Modéliser & simuler. Epistémologies et pratiques de la modélisation et de la simulation, Editions Matériologiques, April 2013. G. Costeseque, J.P. Lebacque, R. Monneau, A convergent scheme for Hamilton-Jacobi equations on a junction: application to traffic, preprint 2013. Distinctions: first abertis Award for Transport Infrastructure Management in the Masters category, awarded by the abertis chair in France (MSc. thesis) 1st International Abertis Prize for Research in the dissertation category, awarded by the abertis-UPC Chair and the chaire abertis-École des Ponts ParisTech-IFSTTAR Education: Please find enclosed my CV (pdf ) Last update: January 2013 Version française