A comparison of some methods for the evaluation of highly oscillatory integrals

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In Part I the extended Clenshaw–Curtis method for finite Fourier integrals is discussed, and a number of timed comparisons are made between the various implementations which appear in the literature. Part II deals with irregular oscillatory integrals and outlines the various methods which have been proposed for their evaluation. Their effectiveness is discussed in the light of a set of test examples.

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论文评审过程:Received 2 May 1997, Revised 4 February 1999, Available online 9 December 1999.

论文官网地址:https://doi.org/10.1016/S0377-0427(99)00213-7