Institution
Institut Élie Cartan de Lorraine
Facility•Vandœuvre-lès-Nancy, France•
About: Institut Élie Cartan de Lorraine is a facility organization based out in Vandœuvre-lès-Nancy, France. It is known for research contribution in the topics: Boundary value problem & Stochastic differential equation. The organization has 345 authors who have published 1084 publications receiving 15512 citations. The organization is also known as: Institut Élie-Cartan de Nancy.
Topics: Boundary value problem, Stochastic differential equation, Boundary (topology), Brownian motion, Nonlinear system
Papers published on a yearly basis
Papers
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05 Feb 2010TL;DR: HAL as discussed by the authors is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not, which may come from teaching and research institutions in France or abroad, or from public or private research centers.
Abstract: HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés. Contrôle de systèmes mécaniques et quantiques par des méthodes géométriques Mario Sigalotti
2 citations
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19 Oct 2007TL;DR: In this paper, the authors present a resume of mes travaux de recherche consacres a l'analyse mathematique and la simulation numerique de quelques problemes de propagation d'ondes lineaires.
Abstract: Ce memoire constitue un resume de mes travaux de recherche consacres a l'analyse mathematique et la simulation numerique de quelques problemes de propagation d'ondes lineaires. Le memoire est structure en 4 chapitres independants : 1. Guide d'Ondes Electromagnetique Supraconducteur 2. Diffraction par des Reseaux 3. Retournement Temporel 4. Methodes Frequentielles et Spectrales pour le Controle des EDP
2 citations
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TL;DR: This paper covers some theoretical investigations performed in France, in the framework of the CNRS programme GDR, devoted to the eigenvalues, the second to the drag minimization.
Abstract: This paper covers some theoretical investigations performed in France, in the framework of the CNRS programme GDR {\it Applications Nouvelles de l'Optimisation de Forme}. The programme included also some activities in Poland. We do not restrict the presentation to the French community in the research field, the list of references includes all recent monographs on the shape optimization. The outline of the paper is the following. First we present some main fields of the activity in shape optimization. To present some precise results, from mathematical point of view, we include two sections. The first is devoted to the eigenvalues, the second to the drag minimization. Many theoretical questions related to these problems are still open.
2 citations
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01 Jan 2002TL;DR: In this article, the authors propose an algorithme de type differences finies generalisees, based on the ideas of Harold J. Kushner, which permet d'approcher la solution d'une large classe d'equations d'HJB avec condition au bord de type Dirichlet.
Abstract: Dans le cadre du projet Omega de l'INRIA et de l'action Amazone du G. I. E Dyade (collaboration Bull et INRIA), on s'interesse au probleme de la gestion du bilan d'un contrat financier de type assurance-vie. On utilise un modele elabore par Mireille Bossy, Nathalie Pistre et Denis Talay, construit sur un modele simple de marche financier stochastique. On cherche a calculer la strategie optimale de gestion du portefeuille boursier d'une compagnie proposant ce type de contrat, etant donnees certaines contraintes : principalement, on suppose que l'assure qui a souscrit ce contrat peut le quitter au moment ou il le decide, et percevoir une somme qui depend des benefices de la compagnie sur ses placements financiers. La presence de cette option de retrait anticipe empeche l'application des methodes de couverture habituelles. Afin d'obtenir un algorithme de calcul rapide, on souhaite utiliser une methode deterministe. Cependant pour ce type de probleme ou la variance depend fortement de la strategie choisie, un schema classique de type differences finies peut ne pas etre efficace. En se basant sur des idees de Harold J. Kushner, on met au point un algorithme de type differences finies generalisees. On justifie la convergence de notre algorithme en utilisant des techniques similaires a celles utilisees par Guy Barles et Elisabeth Rouy dans leurs travaux recents sur le probleme de Dirichlet generalise au cas d'EDP non-lineaires du second ordre degenerees. En collaboration avec Christophe Berthelot de l'INRIA Sophia Antipolis, nous avons programme et mis en oeuvre cet algorithme rapide qui permet d'approcher la solution d'une large classe d'equations d'HJB avec condition au bord de type Dirichlet. On presente quelques illustrations des resultats obtenus et leur interpretation en termes de gestion de bilan.
2 citations
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TL;DR: In this paper, the authors studied the time optimal synthesis problem in the case of a two-snakes configuration on the whole unit sphere, except for a neighborhood of the south pole.
Abstract: For $\alpha \in ]0,\pi/2[$, let $(\Sigma)_\alpha$ be the control system $\dot{x}=(F+uG)x$, where $x$ belongs to the two-dimensional unit sphere $S^2$, $u\in [-1,1]$, and $F,G$ are $3\times3$ skew-symmetric matrices generating rotations with perpendicular axes and of respective norms $\cos(\alpha)$ and $\sin(\alpha)$. In this paper, we study the time optimal synthesis (TOS) from the north pole $(0,0,1)^T$ associated to $(\Sigma)_\alpha$, as the parameter $\alpha$ tends to zero; this problem is motivated by specific issues in the control of quantum systems. We first prove that the TOS is characterized by a “two-snakes” configuration on the whole $S^2$, except for a neighborhood $U_\alpha$ of the south pole $(0,0,-1)^T$ of diameter at most ${\cal O}(\alpha)$. We next show that, inside $U_\alpha$, the TOS depends on the relationship between $r(\alpha):=\pi/2\alpha-[\pi/2\alpha]$ and $\alpha$. More precisely, we characterize three main relationships by considering sequences $(\alpha_k)_{k\geq 0}$ satisfying (a) $r(\alpha_k)=\bar{r}$, (b) $r(\alpha_k)=C\alpha_k$, and (c) $r(\alpha_k)=0$, where $\bar{r}\in (0,1)$ and $C>0$. In each case, we describe the TOS and provide, after a suitable rescaling, the limiting behavior, as $\alpha$ tends to zero, of the corresponding TOS inside $U_\alpha$.
2 citations
Authors
Showing all 361 results
Name | H-index | Papers | Citations |
---|---|---|---|
Ivan Nourdin | 44 | 217 | 6139 |
Marius Tucsnak | 33 | 114 | 3907 |
Victor Nistor | 31 | 158 | 3352 |
Xavier Antoine | 30 | 125 | 2992 |
Jan Sokołowski | 30 | 203 | 6056 |
Nicolas Fournier | 29 | 106 | 3044 |
Gérald Tenenbaum | 29 | 173 | 5100 |
Lionel Rosier | 29 | 126 | 3956 |
Vicente Cortés | 27 | 118 | 2356 |
Gauthier Sallet | 27 | 70 | 2007 |
Antoine Henrot | 26 | 128 | 3268 |
Samy Tindel | 26 | 168 | 2656 |
Bruno Scherrer | 25 | 69 | 1447 |
Mario Sigalotti | 25 | 180 | 2082 |
Takéo Takahashi | 24 | 87 | 1673 |