Publicaciones

• Article dans une revue

Exponential stability of a network of serially connected Euler–Bernoulli beams

Denis Mercier, Virginie Régnier

The aim is to prove the exponential stability of a system modelling the vibrations of a network of N Euler–Bernoulli beams serially connected. Using a result given by K. Ammari and M. Tucsnak, the problem is reduced to the estimate of a transfer function and the obtention of an observability...

International Journal of Control, 2014, 87 (6), pp.1266-1281. ⟨10.1080/00207179.2013.874597⟩. ⟨hal-03163679⟩

• Article dans une revue

Algebraic-trigonometric Pythagorean-hodograph curves and their use for Hermite interpolation

Lucia Romani, Laura Saini, Gudrun Albrecht

In this article we define a new class of Pythagorean-Hodograph curves built-upon a six-dimensional mixed algebraic-trigonometric space, we show their fundamental properties and compare them with their well-known quintic polynomial counterpart. A complex representation for these curves is introduced...

Advances in Computational Mathematics, 2014, 40 (5-6), pp.977-1010. ⟨10.1007/s10444-013-9338-8⟩. ⟨hal-03151851⟩

• Communication dans un congrès

Coopération France-Roumanie dans les domaines de la robotique et de la domotique virtuelles au travers de contrats Erasmus

Jean-Paul Becar, Aurel Fratu, Mariana Fratu, Fabrice Robert

L'article traite de la coopération pédagogique entre la France et la Roumanie depuis plus de dix ans. C'est au travers de contrats Erasmus que le département roumain d'Automatique et de Technologie de l'Information accueille des étudiants français du département Génie Electrique...

CETSIS 2014, Université Franche Comté, Oct 2014, BESANCON, France. ⟨hal-02516010⟩

• Article dans une revue

Weighted analytic regularity in polyhedra

Martin Costabel, Monique Dauge, Serge Nicaise

We explain a simple strategy to establish analytic regularity for solutions of second order linear elliptic boundary value problems. The abstract framework presented here helps to understand the proof of analytic regularity in polyhedral domains given in "http://hal.archives-ouvertes.fr/hal-...

Computers & Mathematics with Applications, 2014, 67 (4), pp.807-817. ⟨10.1016/j.camwa.2013.03.006⟩. ⟨hal-00735620v2⟩

• Article dans une revue

Decomposable affine hypersurfaces

Miroslava Antić, Franki Dillen, Kristof Schoels, Luc Vrancken

In affine differential geometry, Calabi discovered how to associate a new hyperbolic affine hypersphere with two hyperbolic affine hyperspheres. This was later generalized by Dillen and Vrancken in order to obtain a large class of examples of equiaffine homogeneous affine hypersurfaces. Note that...

Kyushu Journal of Mathematics, 2014, 68 (1), pp.93-103. ⟨hal-03228108⟩

• Ouvrages

Elaboration of a new generation of photocatalytic inorganic coatings with controlled porosity", 14th European Inter-regional Conference on Ceramics, Stuttgart, Germany, September 8-10, 2014 in CIEC 14 Conference Proceedings: Proceedings of the 14th European Inter-Regional Conference on Ceramics, Vol. 62, pp. 1-7 by R. Gadow and F. Kerm (Editors)

Philippe Champagne, Mélanie Wynn, Samuel Bernard, Philippe Miele, Anne Leriche

2014. ⟨hal-02869789⟩

• Communication dans un congrès

Points massiques, courbes de Bézier quadratiques et coniques : un état de l'art

Jean-Paul Becar, Lionel Garnier

Les courbes de Bézier quadratiques jouent un rôle fondamental pour la modélisation d'arc de coniques. L'utili-sation de points massiques permet de modéliser des demi-coniques dans le plan affine euclidien. A partir d'une courbe de Bézier de degré 2 donnée, il est possible de..., It is well known quadratic Bézier curves define conics. The use of massic points permits to define a semi-conic in the Euclidean plane. Moreover, from a given quadratic Bézier curve, we can determine the properties of the underlying conic. Moreover, the choice of an adequat non-degenerate...

GTMG 2014, Mar 2014, LYON, France. ⟨hal-02516049⟩

• Article dans une revue

Stabilization of the wave equation in a polygonal domain with cracks

Gilbert Bayili, Serge Nicaise

The stabilization of the wave equation in a polygonal domain with cracks is analyzed. Using the multiplier method, we show that a boundary stabilization augmented by an internal one concentrated in a small neighbourhood of the cracks lead to the exponential stability of the problem.

Revista Matematica Complutense, 2014, 27 (1), pp.259-289. ⟨10.1007/s13163-012-0113-z⟩. ⟨hal-03133116⟩

• Article dans une revue

Stochastic Runge-Kutta methods with the constant elasticity of variance (CEV) diffusion model for pricing option

Rajae Aboulaich, Abdelilah Jraifi, Medarhri Ibtissam

In order to solve numerically the constant elasticity of variance (CEV) model for pricing of European call option, we propose in this work the Stochastic Runge-Kutta method. We compare the obtained results using this approache, with those given by the Monte Carlo method in Broadie-Kaya [4]. Further...

Int. J. Math. Anal. , 2014, 8 (18), pp.849-856. ⟨10.12988/ijma.2014.4381⟩. ⟨hal-03135016⟩

• Article dans une revue

Isotropic affine hypersurfaces of dimension 5

Olivier Birembaux, Luc Vrancken

We study affine hypersurfaces M which have isotropic difference tensor. Note that any surface always has isotropic difference tensor. Therefore, we may assume that n > 2. Such hypersurfaces have previously been studied by the first author and M. Djoric in [1] under the additional assumption that...

Journal of Mathematical Analysis and Applications, 2014, 417 (2), pp.918-962. ⟨10.1016/j.jmaa.2014.03.071⟩. ⟨hal-03233808⟩