Skip to main content
Article thumbnail
Location of Repository

Stokes phenomenon and matched asymptotic expansions

By A. B. Olde Daalhuis, S. J. Chapman, J. R. King, J. R. Ockendon and R. H. Tew

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

Topics: Special functions, Ordinary differential equations
Year: 1995
DOI identifier: 10.1137/S0036139994261769
OAI identifier: oai:generic.eprints.org:601/core69

Suggested articles

Citations

  1. (1989). A simple explanation of the Stokes phenomenon, doi
  2. (1991). exponential asyrnptotics for nonseparable wave equations, I: Complex geometrical optics and connection, doi
  3. (1994). Ezponentially-irnproved asymptotic solutions of ordinary differential equations II: Irregular singularities of rank one,
  4. (1991). Hyperasyrnptotics for integrals with saddles,
  5. (1993). Nonlinear stokes phenomenon for the second Painlevd equation,
  6. (1992). Smoothing of Stokes discontinuities, doi
  7. (1990). Stokes surfaces of diffraction catastrophes with codirnension three, doi
  8. (1989). Uniform asymptotic smoothing of Stokes’s discontinuities, doi

To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.