13 citations · 40 across the 7 of their papers we have counts for
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math.CA2024★ 1 cited
Smoothing of the higher-order Stokes phenomenon
Chris J. Howls, John R. King, Gergő Nemes +1
For nearly a century and a half the Stokes phenomenon had been perceived as a discontinuous change in the asymptotic representation of a function. In 1989 Berry demonstrated how it…
math.CA2017★ 13 cited
Globally exact asymptotics for integrals with arbitrary order saddles
Thomas Bennett, Christopher J. Howls, Gergő Nemes +1
We derive the first exact, rigorous but practical, globally valid remainder terms for asymptotic expansions about saddles and contour endpoints of arbitrary order degeneracy derive…
math.CA2010★ 12 cited
Exponential asymptotics and boundary value problems: keeping both sides happy at all orders
C. J. Howls
We introduce templates for exponential asymptotic expansions that, in contrast to matched asymptotic approaches, enable the simultaneous satisfaction of both boundary values in cla…