Title: Low-rank updates of matrix functions Abstract: We consider the task of updating a matrix function f(A) when the square matrix A is subject to a low-rank modification. The approach proposed in this talk attains efficiency by projecting onto tensorized Krylov subspaces produced by matrix-vector multiplications with A and its…
Title: Learning and forecasting of irregular dynamics Abstract: Let us consider an evolution equation dY(t)= A(X).dX(t) of a scalar quantity Y controlled by an irregular (non-differentiable, of infinite variation) vector trajectory X. What can we say about the control A(.) from the observation of the trajectories of Y and X?…
Title: Tensor methods for molecular dynamics simulations Summary: In the beginning of the talk, an introduction to some tensor methods for the resolution of high-dimensional problems will be presented. A prototypical example of interest is the resolution of a Poisson problem with homogeneous boundary conditions in high dimension. I will…
10:30, Alexei Lozinski Title: A method of fictitious domains with optimal convergence Abstract: Fictive domain methods allow to discretize an EDP placed on a complex domain by using a simple background mesh (typically Cartesian) on a simpler domain (typically a rectangle). The classic variants of these methods are based on…
Title: Virtual Element Methods: very-basic features and applications to magnetostatic problems. Abstract : The presentation will be split into two parts. The first part (by F. Brezzi) will start with a soft introduction to numerical methods for polygonal/polyhedral decompositions and then recall the very basic ideas and features of the…
Title: The potential impact of mathematics in clinical oncology: the example of electroporation ablation. Abstract: Electroporation-based therapies (EPT) consist in applying high voltage short pulses to cells (typically several hundred volts per entimeter during about one hundred microseconds) in order to create defects in the plasma membrane. They provide interesting…
Title : Two approaches for the numerical identification of cardiac potentials: parameter identification and Cauchy problem Abstract : In this talk, I will present two inverse problems related to the modeling of the cardiac potential but which can appear in many other contexts. In the first problem, we consider a…
Title : Approximation of a coupled diffusion convection problem Summary: The transport of species by a fluid whose viscosity is highly dependent on composition leads to a coupled system known for its unsteadiness (Peaceman’s problem). The study of different schemes for its discretization shows the need to take into account…
Title : Finite element methods for interface problems Abstract: Interface problems arise in many applications involving heterogenous materials, such as contact problems and immiscible two-phase flows. In some situations, non-matching meshes provide an interesting technique. In others, like moving interfaces, avoiding meshing of the interface is desirable. In this talk,…
