A remark on the fast Gauss transform
type: Item
instance of: scholarly article
title: A remark on the fast Gauss transform
zbMATH Open document ID: 1057.65099
author: Kenta Kobayashi
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 2004-11-01T00:00:00Z
review text: Summary: We propose an improvement on the fast Gauss transform which was presented by \textit{L. Greengard} and \textit{X. Sun} [Doc. Math. J. DMV, Extra Vol. ICM Berlin 1998, Vol. III, 575--584 (1998; Zbl 0908.65126)]. In their method, plane waves are used to approximate the Gauss kernel. Plane waves they used were generated by the Fourier integral and the trapezoidal rule. We propose different plane waves, which enables us to calculate the fast Gauss transform more efficiently.
Mathematics Subject Classification ID: 65R10
Mathematics Subject Classification ID: 44A35
Mathematics Subject Classification ID: 65T50
Mathematics Subject Classification ID: 33B10
Mathematics Subject Classification ID: 35K05
zbMATH DE Number: 2113014
zbMATH Keywords: numerical examples
zbMATH Keywords: discrete Gauss transform
zbMATH Keywords: fast Gauss transform
zbMATH Keywords: Fourier integral
zbMATH Keywords: trapezoidal rule
zbMATH Keywords: plane waves
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1145476047
OpenAlex ID: W1964905207
cites work: Q5520962
cites work: The Fast Gauss Transform
DOI: 10.2977/PRIMS/1145476047
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description: scientific article; zbMATH DE number 2113014