Publications

• Communication dans un congrès

Points massiques, cubiques Bézier rationnelles et leur points singuliers

Jean-Paul Becar, Karine Serier, Lionel Garnier, Laurent Fuchs

Cet articleétend l'étude des points singuliers des courbes rationnelles cubiques. Ellle porte sur les points d'inflexion, les points doubles et points de rebroussement. Les courbes cubiques rationnelleś etudiées sont décrites au moyen de la technique des points massiques. Un point…

CNRIUT 2018, 2018, AIX EN PROVENCE, France. ⟨hal-02508920⟩

• Article dans une revue

Fast Spectral Galerkin Method for Logarithmic Singular Equations on a Segment

Carlos F. Jerez-Hanckes, Serge Nicaise, Carolina Urzúa-Torres

We present a fast Galerkin spectral method to solve logarithmic singular equations on segments. The proposed method uses weighted first-kind Chebyshev polynomials. Convergence rates of several orders are obtained for fractional Sobolev spaces H −1/2 (or H −1/2 00). Main tools are the approximation…

Journal of Computational Mathematics -International Edition-, 2018, 36 (1), pp.128-158. ⟨10.4208/jcm.1612-m2016-0495⟩. ⟨hal-01956620⟩

• Article dans une revue

Lagrangian submanifolds in the homogeneous nearly Kähler S3×S3

Bart Dioos, Luc Vrancken, Xianfeng Wang

In this paper, we investigate Lagrangian submanifolds in the homogeneous nearly Kähler S3×S3. We introduce and make use of a triplet of angle functions to describe the geometry of a Lagrangian submanifold in S3×S3. We construct a new example of a flat Lagrangian torus and give a complete…

Annals of Global Analysis and Geometry, 2018, 53 (1), pp.39-66. ⟨10.1007/s10455-017-9567-z⟩. ⟨hal-03148562⟩

• Communication dans un congrès

Usage des points massiques et des courbes de Bézier pour la modélisation des cubiques

Karine Serier, Jean-Paul Becar, Lionel Garnier

Cet article étend l'étude des points singuliers et des points d'inflexion des courbes rationnelles cubiques en s'ins-pirant de la méthode proposée par M. Sakai dans le cadre des points massiques. L'intérêt des points massiques permet de représenter une boucle c'est à dire…

GTMG 2018, ENSAM, 2018, AIX EN PROVENCE, France. ⟨hal-02508926⟩

• Article dans une revue

Conditional Gradient Method for Double-Convex Fractional Programming Matrix Problems

Abderrahman Bouhamidi, Mohammed Bellalij, Rentsen Enkhbat, Khalide Jbilou, Marcos Raydan

We consider the problem of optimizing the ratio of two convex functions over a closed and convex set in the space of matrices. This problem appears in several applications and can be classified as a double-convex fractional programming problem. In general, the objective function is nonconvex but,…

Journal of Optimization Theory and Applications, 2018, 176 (1), pp.163-177. ⟨10.1007/s10957-017-1203-3⟩. ⟨hal-03135657⟩

• Article dans une revue

Design and Construction of a Multifunction Piezoelectric Transformer

Adil Eddiai, Mounir Meddad, Mohamed Rguiti, Aïda Chérif, Christian Courtois

In recent years, piezoelectric materials have particularly found advantageous field of application in electrical energy’s conversion. Especially, the piezoelectric transformers are becoming more and more usable in electrical devices owing to several advantages such as small size, high efficiency,…

Journal of The Australian Ceramic Society, 2018, 55 (1), pp.19-24. ⟨10.1007/s41779-018-0206-3⟩. ⟨hal-03120970⟩

• Article dans une revue

Sublinearity of the number of semi-infinite branches for geometric random trees

David Coupier

The present paper addresses the following question: for a geometric random tree in R-2, how many semi-infinite branches cross the circle C-r centered at the origin and with a large radius r? We develop a method ensuring that the expectation of the number X-r of these semi-infinite branches is o (r…

Electronic Journal of Probability, 2018, 23, ⟨10.1214/17-EJP115⟩. ⟨hal-03227549⟩

• Article dans une revue

Crystal structures of Na1.85Mg1.85In1.15(PO4)3 and Ag1 .69In1.31(PO4)3 with alluaudite-type structure

Ahmed Ould Saleck, Abderrazzak Assani, Mohamed Saadi, Cyrille Mercier, Claudine Follet, Lahcen El Ammari

Single crystals of two new phosphates, sodium magnesium indium(III) tris­(orthophosphate) and silver magnesium indium(III) tris­(orthophosphate), were obtained from solid-state reactions. The two phosphates are isotypic and exhibit alluaudite-type structures. They are characterized by a cationic…

Acta crystallographica Section E : Crystallographic communications [2015-..], 2018, E74, pp.1358-1361. ⟨10.1107/S2056989018011799⟩. ⟨hal-04318727⟩

• Poster de conférence

«Nanoscale piezoelectric measurements on single PVDF textile filament»

A. Ferri, F. Rault, A. da Costa, C. Cochrane, M. Boudriaux, G. Lemort, C. Campagne, E. Devaux, Christian Courtois, R. Desfeux

Forum des microscopies à sonde locale, 2018, La Rochelle, France. 2018. ⟨hal-01753235⟩

• Communication dans un congrès

Lagrangian submanifolds in the homogeneous nearly Kahler S3×S3 with constant sectional curvature

Luc Vrancken

In this paper, we investigate Lagrangian submanifolds in the homogeneous nearly Kähler S3 × S3. We introduce and make use of a triplet of angle functions to describe the geometry of a Lagrangian submanifold in S3 × S3. We construct a new example of a flat Lagrangian torus and give a complete…

XIX Geometrical Seminar, Aug 2016, Zlatibor, Serbia. ⟨hal-03155933⟩