Session A5 - Geometric Integration and Computational Mechanics
July 10, 15:00 ~ 15:30
Uniformly accurate averaging numerical schemes for oscillatory evolution equations.
INRIA, France - email@example.com
In this talk, we consider differential equations with (possibly high) oscillations whose frequency scales like the inverse of a parameter with values in an interval of the form ]0; 1]. In particular, we do not envisage the (possibly highly-) oscillating system in its asymptotic regime. Our aim is to design a numerical method which can solve such systems at a cost and with an accuracy remaining essentially insensitive to the value of the parameter.
Joint work with Mohammed Lemou, Florian Mehats and Gilles Vilmart.