On higher-order Stokes phenomena of an inhomogeneous linear ordinary differential equation
type: Item
instance of: scholarly article
title: On higher-order Stokes phenomena of an inhomogeneous linear ordinary differential equation
zbMATH Open document ID: 1058.34123
author: Yanyan Li
published in: Journal of Computational and Applied Mathematics
publication date: 2004-08-16T00:00:00Z
review text: The author considers the particular integral of the differential equation \(d^2w/dz^2+u^2z^2w=e^{iu((1/2)z^2-4z)}\), where \(u\) is a large parameter. He determines the complete Stokes geometry, i.e., the active and inactive Stokes curves and the higher-order Stokes curve. (A Stokes curve to be inactive or a Stokes multiplier to change its value are events typical for higher-order Stokes phenomena.) He presents numerical examples and suggests how the study can be extended to more complicated problems.
Mathematics Subject Classification ID: 34M40
Mathematics Subject Classification ID: 34E05
Mathematics Subject Classification ID: 34E20
zbMATH DE Number: 2091438
zbMATH Keywords: asymptotic expansions
zbMATH Keywords: connection formulae
zbMATH Keywords: inhomogeneous differential equations
zbMATH Keywords: Stokes phenomenon
zbMATH Keywords: Stokes multiplier
zbMATH Keywords: turning points
Wikidata QID: Q115359900
reviewed by: Vladimir P. Kostov
MaRDI profile type: Publication
full work available at URL: j.cam.2003.12.023
OpenAlex ID: W2170349758
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DOI: 10.1016/J.CAM.2003.12.023
description: scientific article; zbMATH DE number 2091438