An analysis of a butterfly algorithm.

Börm, Steffen, Börst, C. and Melenk, J.M. (2017) An analysis of a butterfly algorithm. Computers & Mathematics with Applications, 74 (9). pp. 2125-2143. DOI 10.1016/j.camwa.2017.05.019.

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Abstract

Butterfly algorithms are an effective multilevel technique to compress discretizations of integral operators with highly oscillatory kernel functions. The particular version of the butterfly algorithm presented in Candès, et al. (2009) realizes the transfer between levels by Chebyshev interpolation. We present a refinement of the analysis given in Demanet, et al. (2012) for this particular algorithm.

Document Type: Article
Keywords: Butterfly algorithmStability of iterated polynomial interpolation
Research affiliation: Kiel University > Kiel Marine Science
OceanRep > The Future Ocean - Cluster of Excellence
Kiel University
Refereed: Yes
Open Access Journal?: No
DOI etc.: 10.1016/j.camwa.2017.05.019
ISSN: 0898-1221
Projects: Future Ocean
Date Deposited: 31 Jan 2018 10:58
Last Modified: 23 Apr 2019 13:12
URI: http://oceanrep.geomar.de/id/eprint/41767

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