Special Session 109: 

A generic technique for constructing uniformly accurate methods for oscillating evolution equations

Philippe Chartier
INRIA
France
Co-Author(s):    Mohammed Lemou and Florian M\\`ehats
Abstract:
In this talk, I will present a new methodology for the numerical solution of oscillating equations considered in varying regimes (from smooth to highly-oscillatory). The strategy we propose strongly relies on averaging theory and allows to transform any oscillatory problem into a smooth one, irrespectively of the stiffness of the original equations. This is joint work with Mohammed Lemou and Florian M\`ehats