Mohammed Lemou (Institut de Recherche Mathématiques de Rennes)
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.