@Article{JCM-24-5,
author = {},
title = {On Quadrature of Highly Oscillatory Functions},
journal = {Journal of Computational Mathematics},
year = {2006},
volume = {24},
number = {5},
pages = {579--590},
abstract = {<p style="text-align: justify;">Some quadrature methods for integration of $\int_a^b f(x)e^{i \omega g(x)}dx$ for rapidly oscillatory functions are presented. These methods, based on the lower order remainders of Taylor expansion and followed the thoughts of Stetter [9], Iserles and Nørsett [5], are suitable for all $\omega$ and the decay of the error can be increased arbitrarily in case that $g&#39;(x)\not=0$ for $x\in [a,b]$, and easy to be implemented and extended to the improper integration and the general case $ I[f]=\int_a^b f(x)e^{ig(\omega,x)} dx$.</p>},
issn = {1991-7139},
doi = {https://doi.org/2006-JCM-8776},
url = {https://global-sci.com/article/85102/on-quadrature-of-highly-oscillatory-functions}
}