enseignant-chercheur

Françoise FOUCHER

Enseignant-chercheur en Mathématiques

Coordonnées

bureau E220

Tél
02 40 37 25 19
Mail
Francoise.Foucher@ec-nantes.fr

Discipline(s)

Mathématiques

Discipline(s) enseignée(s)

analyse numérique,
analyse des EDP,
optimisation,
probabilités,
statistique

Thèmes de recherche

- Analyse numérique de systèmes hyperboliques, volumes finis, écoulements en eau peu profonde avec topographie et friction.

- Analyse numérique de modèles parabolique/hyperbolique de chimiotactisme, application à des modèles de développement et traitement de cancers.

- Approximation, quasi-interpolants splines,

- Analyse numérique de systèmes elliptiques, éléments finis.

Activités / CV

Articles :

FOUCHER Françoise, IBRAHIM Moustafa, SAAD Mazen. Convergence of a positive nonlinear Control Volume Finite Element scheme for solving an anisotropic degenerate breast cancer development model. Computers and Mathematics with Applications 76, p. 551-578, 2018.

MICHEL-DANSAC Victor, BERTHON Christophe, CLAIN Stéphane, FOUCHER Françoise. A well-balanced scheme for the shallow-water equations with topography or Manning friction. Journal of Computational Physics 335, p. 115-154, 2017.

FOUCHER Françoise, IBRAHIM Moustafa, SAAD Mazen. Numerical analysis of a nite volume scheme for the simulation of a nonlinear degenerate breast cancer modelanalysis of a positive cvfe scheme for simulating breast cancer development, local treatment and recurrence. Finite Volumes for Complex Applications VIIIMethods and Theoretical Aspects, Springer Proceedings in Mathematics & Statistics 199, p. 205-213, 2017.

MICHEL-DANSAC Victor, BERTHON Christophe, CLAIN Stéphane, FOUCHER Françoise. A well-balanced scheme for the shallow-water equations with topography.
Computers and mathematics with applications 72(3), p. 568-593, 2016.

BERTHON Christophe, CRESTETTO Anaïs, FOUCHER Françoise. A well-balanced finite volume scheme for a mixed hyperbolic/parabolic system to model chemotaxis.
Journal of Scientific Computing 67(2), p. 618-643, 2015.

BERTHON Christophe, FOUCHER Françoise, MORALES DE LUNA Tomas. An efficient splitting technique for two-layer Shallow-Water model. Numerical Methods for Partial Differential Equations 31(5), p. 1396-1423, 2015.

BERTHON Christophe, FOUCHER Françosie. Efficient well-balanced hydrostatic upwind schemes for shallow-water equations. J. Comput. Physics 231(15), p. 4993-5015, 2012.

BERTHON Christophe, FOUCHER Françoise. Hydrostatic Upwind Schemes for Shallow-Water Equations. Finite Volumes for Complex Application VI, Springer Proceedings in Mathematics 4, p. 97-106, 2011.

FOUCHER Françoise, SABLONNIERE Paul. Quadratic spline quasi-interpolants and collocation methods. Mathematics and Computers in Simulation 79, p. 3455-3465, 2009.

FOUCHER Françoise, SABLONNIERE Paul. Approximating partial derivatives of first and second order by quadratic spline quasi-interpolants on uniform meshes. Mathematics and Computers in Simulation 77, p. 202-208, 2008.

 FOUCHER Françoise, SABLONNIERE Paul. Superconvergence properties of some bivariate C1 quadratic spline quasi-interpolants. Curves and Surfaces Fitting : Avignon 2006, A. Cohen, J.L. Merrien, and L.L. Schumaker, (eds) Nashboro  Press, Brentwood, p. 160-169, 2007.

FOUCHER Françoise. Bimonotonicity preserving surfaces defined by tensor products of C1 Merrien Subdivision Schemes. Curve and Surface Fitting : Saint-Malo 2002, A. Cohen, J.L. Merrien, and L.L. Schumaker, (eds) Nashboro Press, Brentwood, p. 149-158, 2003.

Corps

MC
Publié le 1 septembre 2008 Mis à jour le 25 septembre 2018