Conference abstracts

Session A5 - Geometric Integration and Computational Mechanics

July 10, 15:00 ~ 15:30

Uniformly accurate averaging numerical schemes for oscillatory evolution equations.

Philippe Chartier

INRIA, France   -   philippe.chartier@inria.fr

In this talk, we consider diff erential 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.

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