19/07/2016, 10:00 — 11:00 — Anfiteatro Ea1, Torre Norte (Electricidade)
Ovidiu Costin, The Ohio State University

Borel Plane Resurgence in Hyperasymptotics and Factorial Series

Hyperasymptotics is one of the choice tools in obtaining precise numerical results from divergent series. In recent work with MV Berry, RD Costin and C Howls we found that Borel plane resurgence analysis leads to important improvements: already the corrected second stage reexpansion is more accurate than infinitely many stages of usual hyperasymptotics.

Another classical technique of resummation, factorial series, also benefits substantially from Borel plane analysis. The factorial series limitations, ranging from slow convergence, small domain of validity and inability to describe the Stokes sector are removed when resurgence tools are used.

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R-costin.pdf