2023 - 2024


Lundi 27 novembre 2023, 11h à 12h, l'exposé aura lieu en E 554
Colloquium | Louis Garrigue (CY Cergy-Paris Université)

"Approximating eigenmode problems"

In many applications, one knows the solution of an eigenmode problem at several points of the parameter space, and needs to use this knowledge to extrapolate the solution at a new point. For instance, in quantum physics, one can know the equilibrium state of a system of particules for several electromagnetic fields and wants to obtain the equilibrium state for a new electromagnetic field, without more computation. We will present two new ways of doing so, the first one is based on a multi-point Taylor expansion tailored for eigenmode problems, the second one couples perturbation theory to the variational approximation.