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Two-Dimensional Stationary Phase Approximation: Stationary Point at a Corner

Received by the editors October 2, 1989; accepted for publication (in revised form) March 27, 1990. This research was partially supported by Natural Sciences and Engineering Research Council of Canada grants A-8069 and A-7359.

J. P. McClure

Department of Mathematics and Astronomy, University of Manitoba, Winnipeg, Manitoba, Canada, R3T2N2, Canada

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and

R. Wong

Department of Applied Mathematics, University of Manitoba, Winnipeg, Manitoba, Canada, R3T 2N2, Canada

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https://doi.org/10.1142/9789814656054_0025Cited by:0 (Source: Crossref)

Abstract:

Asymptotic expansions are derived for the double integral

as N → + ∞, where f(x, y) has a stationary point at a corner of the boundary of D. Two different methods are given, one for the case of local extrema and one for saddlepoints. In the case of saddlepoints, our method allows the boundary of D to be tangent to a level curve of f

The Selected Works of Roderick S C Wong

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Two-Dimensional Stationary Phase Approximation: Stationary Point at a Corner

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