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   -

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.

View abstract PDF

FoCM 2017, based on a nodethirtythree design.