21/07/2016, 10:00 — 11:00 — Anfiteatro Ea1, Torre Norte (Electricidade)
Christopher Howls, University of Southampton

Postponing the Inevitable: Airey on Airy

We take a resurgence approach to Airey converging factors as a tool for extending numerical accuracy by an extension of hyperasymptotics. The approach explains the structure and behaviour of the terms in the Airey expansion. Using a method derived from the exact remainder term of Berry and Howls (1991) and allowing for the presence of additional singularities, we are also able to illustrate geometrically how to overcome one of the main historical issues with Airey converging factors, namely their failure as Stokes lines are approached. We also indicate how the situation changes when more than one Borel-plane singularity is involved.