Harris, Paul J. and Chen, Ke
An efficient method for evaluating the integral of a class of highly oscillatory functions
Journal of Computational and Applied Mathematics, 230 (2).
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Highly oscillatory integrals require special techniques for their effective evaluation. Various
studies have been conducted to find computational methods for evaluating such integrals.
In this paper we present an efficient numerical method to evaluate a class of generalised
Fourier integrals (on a line or a square) with integrands of the form f .x/eikg.x/, under the
assumption that in the domain of integration, both f and g are sufficiently smooth and that
g does not have any stationary/critical points. Numerical analysis and results are given to
illustrate the effectiveness of our method for computing generalised Fourier integrals.
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