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Exact splitting methods for semigroups generated by inhomogeneous quadratic differential operators

le 18 novembre 2020

11h - Groupe de travail "Applications des Mathématiques"

ENS Rennes En ligne :

Séminaire de Joackim Bernier (CNRS, Université de Nantes) au groupe de travail "Applications des mathématiques"

Groupe de travail


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Résumé : I will present some general tools to factorize semigroups generated by inhomogeneous quadratic differential operators as product of more elementary semigroups. On the one hand, I will explain how such a factorization can be used to characterize geometrically the regularizing effects of these semigroups. On the other hand, from a numerical point of view, we will see how it can be used to get some efficient and accurate splitting methods. I will highlight the efficiency of these new methods on the examples of the magnetic Schrödinger equations with harmonic potentials and some Fokker-Planck equations. This talk will rely on some joint works with Paul Alphonse, Nicolas Crouseilles, Fernando Casas and Yingzhe Li.

Recherche - Valorisation
Nicolas Crouseilles et Frédéric Marbach

Mise à jour le 17 novembre 2020