Sensitivity analysis and dimension reduction Mathematical models seldom represent perfectly the reality of studied systems, due to, for instance, uncertainties on the parameters that define the system. For instance, in geophysical fluids modelling, these parameters can be, e.g., the domain geometry, the initial state, the wind stress, the friction or…
Segmentation et filtrage en analyse de mouvement L’analyse de mouvement est un probleme central en traitement d’images. L’outil essentiel dans ce domaine est la determination du flot optique dans une sequence d’images. L’expose est consacre a la resolution de ce probleme dans le cadre de la modelisation par des Equations…
Complétion de données. Régularisation et éléments finis Le problème de Cauchy consiste à reconstruire un champ de diffusion à partir de données au bord partielles. Des mesures abondantes sont disponibles sur une partie du bord tandis qu’elles sont (totalement) manquantes sur une portion qualifiée d’inacessible. En dépit de la grande…
MyBEM, un solveur multi-physique par éléments finis de frontières et Sparse Cardinal Sine Decomposition Abstract 11:00 a.m. to 12:00 p.m., LJLL, University Paris 6 (UPMC), Jussieu campus, room 15/25-102 . Coffee from 10:45 a.m.
Krylov subspace methods from the analytic, application, and computational perspective Krylov subspace methods are fascinating mathematical objects that integrate many lines of thought and are linked with hard theoretical challenges. Krylov subspace methods can be seen as highly nonlinear model reduction that can be very efficient in some cases and…
Observer strategies for inverse problems, applications to cardiology We present an original class of strategy to perform estimation for evolution equations with uncertain initial conditions and parameters. We adopt a filtering approach on the dynamical system formulation to construct a joint state-parameter estimator that uses some measurements available in standard…
Computational fluid dynamics of the heart: from integrated models to blood flows in the left ventricle and aortic valve The simulation of the blood flow in the heart represents a challenging task from both the mathematical and numerical modeling points of view. This is due to the strong interaction of…
