A multiscale numerical approach for a class of time-space oscillatory problems

15 Jun 2016, 14:35
Salle de Réunion - Bâtiment M2 ()

Salle de Réunion - Bâtiment M2


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.

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