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# Moment-free numerical integration of highly oscillatory functions

@inproceedings{Olver2005MomentfreeNI, title={Moment-free numerical integration of highly oscillatory functions}, author={Sheehan Olver}, year={2005} }

- Published 2005

The aim of this paper is to derive new methods for numerically approximating the integral of a highly oscillatory function. We begin with a review of the asymptotic and Filon-type methods developed by Iserles and Nørsett. Using a method developed by Levin as a point of departure, we construct a new method that utilizes the same information as the Filon-type method, and obtains the same asymptotic order, while not requiring the computation of moments. We also show that a special case of this… CONTINUE READING

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