51 citations · 289 across the 34 of their papers we have counts for
4 papers · 1 filter
Exponential asymptotics and higher-order Stokes phenomenon in singularly perturbed ODEs
Josh Shelton, Samuel Crew, Philippe H. Trinh
The higher-order Stokes phenomenon can emerge in the asymptotic analysis of many problems governed by singular perturbations. Indeed, over the last two decades, the phenomena has a…
Resurgent aspects of applied exponential asymptotics
Samuel Crew, Philippe H. Trinh
In many physical problems, it is important to capture exponentially-small effects that lie beyond-all-orders of a typical asymptotic expansion; when collected, the full expansion i…
Exponential Asymptotics and Stokes Line Smoothing for Generalized Solitary Waves
Philippe H. Trinh
In a companion paper, Grimshaw (Asymptotic Methods in Fluid Mechanics, 2010, pp. 71-120) has demonstrated how techniques of Borel summation can be used to elucidate the exponential…
Exponential asymptotics and problems with coalescing singularities
Philippe H. Trinh, S. Jonathan Chapman
Problems in exponential asymptotics are typically characterized by divergence of the associated asymptotic expansion in the form of a factorial divided by a power. In this paper, w…