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Abstracts Mathematics
Exponentially-improved asymptotics of single and multidimensional integrals
by Sinéad Breen
| Institution: | Dublin City University |
|---|---|
| Department: | School of Mathematical Sciences |
| Degree: | |
| Year: | 1999 |
| Keywords: | Mathematics; Integral equations; Asymptotic theory |
| Posted: | |
| Record ID: | 1180881 |
| Full text PDF: | http://doras.dcu.ie/18362/ |
Abstract
Two different approaches for finding the exponentially improved asymptotic behaviour of integrals with saddlepoints are presented. Both rely on the deformation of the contours of integration and can be applied to single and multidimensional integrals alike. The class of integrals studied is of the form J J g(z1, ,zp)e-f{zu 'Zp,X)dz1 dzp
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