Stokes phenomenon and matched asymptotic expansions (1995)
| Venue: | SIAM J. Appl. Math |
| Citations: | 4 - 3 self |
BibTeX
@ARTICLE{Daalhuis95stokesphenomenon,
author = {A. B. Olde Daalhuis and S. J. Chapman and J. R. Kings and J. R. Ockendon and R. H. Tew},
title = {Stokes phenomenon and matched asymptotic expansions},
journal = {SIAM J. Appl. Math},
year = {1995},
volume = {55},
pages = {1945--1954}
}
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Abstract
Abstract. This paper describes the use of matched asymptotic expansions to illuminate the description of functions exhibiting Stokes phenomenon. In particular the approach highlights the way in which the local structure and the possibility of finding Stokes multipliers explicitly depend on the behaviour of the coefficients of the relevant asymptotic expansions. tion Key words. Stokes ’ phenomenon, matched asymptotic expansions, Airy function, error func-AMS subject classifications. 41A60, 33C10, 33B20 1. Introduction. The
Citations
| 16 | Uniform asymptotic smoothing of Stokes’s discontinuities - Berry - 1989 |
| 4 | Stokes surfaces of diffraction catastrophes with codimension three - BERRY, HOWLS - 1990 |
| 4 | A simple explanation of the Stokes phenomenon - Meyer - 1989 |
| 4 | Exponentially-improved asymptotic solutions of ordinary differential equations. I: The confluent hypergeometric function - Olver - 1993 |
| 3 | Smoothing of Stokes discontinuities - McLeod - 1992 |
| 1 | for integrals with saddles - Hyperasyrnptotics - 1991 |
| 1 | exponential asyrnptotics for nonseparable wave equations, I: Complex geometrical optics and connection - On - 1991 |
| 1 | Nonlinear stokes phenomenon for the second Painlevd equation, Phys - NOVOKSttENOV - 1993 |
