Orateur
Mohammed Lemou
(Institut de Recherche Mathématiques de Rennes)
Description
High oscillations may arise in many physical problems: Schrödinger equations, kinetic equations, or more generally high frequency waves. In this talk, we will present a general strategy that allows the construction of uniformly (with respect to the oscillation frequency) accurate numerical schemes in the following situations:
i) time oscillations with applications to kinetic and Schrödinger equations.
ii) time-space oscillations with applications to some high frequency waves and semi-classical quantum models.
Some numerical tests will be presented to illustrate the efficiency of the strategy.
