Title: Discontinuous Galerkin methods on polygonal and polyhedral meshes Abstract: PDE models are often characterised by local features such as solution singularities/layers and domains with complicated boundaries. These special features make the design of accurate numerical solutions challenging, or require huge amount of computational resources. One way of achieving complexity…
Modeling and numerical simulation of ciliated systems. In this talk I will present work about the mathematical modeling of complex active fluids in which the activity comes from fine structures called cilia. This is the case for example of bronchial mucus, set in motion by the coordinated beating of cilia…
“Parareal simulations of some oscillatory singularly perturbed ordinary differential equations” The goal of this work is to develop a new strategy for solving by the parareal algorithm highly oscillatory ordinary differential equations which are characteristics of six-dimensional Vlasov equations. For the coarse solvers we use reduced models, obtained from two-scale…
Title: Behavioural Epidemiology of populations and… policymakers a talk based on very simple models Résumé : Behavioural Epidemiology of Infectious Diseases (BE) [1,2] is a relatively new discipline that initially aimed at modelling the role of human behaviour in the spread and in the control of Infectious Diseases. Indeed, classical…
Modeling an evolution through constrained deformations Analyzing shapes through large deformations allows to define a metric on a space of shapes (space of curves or surfaces for instance) from a metric on a space of deformations. We built a generic framework to incorporate biological priors in the set of considered…
