Asymptotic expansion of a double integral with a curve of stationary points

J. P. Mcclure; R. Wong

doi:10.1093/imamat/38.1.49

Asymptotic expansion of a double integral with a curve of stationary points

J. P. Mcclure
, R. Wong

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

6 Citations (Scopus)

Abstract

An asymptotic expansion is constructed for the double integral ∫∫Dg(x,y)eiλf(x,y)dx dyas λ← +∞, where f(x, y) has a curve of stationary points in D. The first two coefficients of the expansion are explicitly calculated. © 1987 Oxford University Press.

Original language	English
Pages (from-to)	49-59
Journal	IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
Volume	38
Issue number	1
DOIs	https://doi.org/10.1093/imamat/38.1.49
Publication status	Published - 1987
Externally published	Yes

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title = "Asymptotic expansion of a double integral with a curve of stationary points",

abstract = "An asymptotic expansion is constructed for the double integral ∫∫Dg(x,y)eiλf(x,y)dx dyas λ← +∞, where f(x, y) has a curve of stationary points in D. The first two coefficients of the expansion are explicitly calculated. {\textcopyright} 1987 Oxford University Press.",

author = "Mcclure, \{J. P.\} and R. Wong",

year = "1987",

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language = "English",

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T1 - Asymptotic expansion of a double integral with a curve of stationary points

AU - Mcclure, J. P.

AU - Wong, R.

PY - 1987

Y1 - 1987

N2 - An asymptotic expansion is constructed for the double integral ∫∫Dg(x,y)eiλf(x,y)dx dyas λ← +∞, where f(x, y) has a curve of stationary points in D. The first two coefficients of the expansion are explicitly calculated. © 1987 Oxford University Press.

AB - An asymptotic expansion is constructed for the double integral ∫∫Dg(x,y)eiλf(x,y)dx dyas λ← +∞, where f(x, y) has a curve of stationary points in D. The first two coefficients of the expansion are explicitly calculated. © 1987 Oxford University Press.

UR - https://www.scopus.com/pages/publications/0042157944

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0042157944&origin=recordpage

U2 - 10.1093/imamat/38.1.49

DO - 10.1093/imamat/38.1.49

M3 - RGC 21 - Publication in refereed journal

SN - 0272-4960

VL - 38

SP - 49

EP - 59

JO - IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)

JF - IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)

IS - 1

ER -

Asymptotic expansion of a double integral with a curve of stationary points

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