SciCADE 2013
International Conference on Scientific Computation and Differential Equations
September 16-20, 2013, Valladolid (Spain)

Invited Talk

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Highly oscillatory ODEs with irregular oscillators

A. Iserles, M. Condon and S.P. Nørsett

Abstract
There exist several robust computational approaches to ODEs with regular highly oscillating forcing terms, not least HMM and asymptotic expansions. However, once we consider irregular oscillators and allow for the presence of stationary points, very little exists in terms of either theory or numerical practice. In this talk we develop a general asymptotic expansion in this situation. Each n-th term in this expansion can be computed as a highly oscillatory integral over n-dimensional simplexes.

Organized by         Universidad de Valladolid     IMUVA