Fast convolution with the free space Helmholtz Green's function
type: Item
instance of: scholarly article
title: Fast convolution with the free space Helmholtz Green's function
zbMATH Open document ID: 1165.65082
author: Christopher Kurcz
author: Lucas Monzón
author: Gregory Beylkin
published in: Journal of Computational Physics
publication date: 2009-04-17T00:00:00Z
review text: The authors study the fast convolution with the free space Helmholtz Green's function. They first give appropriate definitions and notations, and then formulate and state the main results as the main two theorems. Later the authors out line the proofs of these theorems by organizing them as a sequence of propositions with technical details given in the Appendix. In addition the authors construct quadratures in the Fourier domain for the efficient application of radically symmetric kernels. A fast algorithm for applying Green's function is described. Examples are given to illustrate the theory discussed.
reviewed by: Seenith Sivasundaram
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 65T50
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 5544616
zbMATH Keywords: Helmholtz equation
zbMATH Keywords: function with singularities
zbMATH Keywords: fast convolution
zbMATH Keywords: integral operators
zbMATH Keywords: approximation by Gaussians
zbMATH Keywords: Ewald's method
zbMATH Keywords: quadratures
zbMATH Keywords: unequally spaced fast Fourier transform
zbMATH Keywords: fast multiresolution algorithms
zbMATH Keywords: fast Gauss transform
MaRDI profile type: Publication
full work available at URL: j.jcp.2008.12.027
OpenAlex ID: W2075400418
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DOI: 10.1016/J.JCP.2008.12.027
description: scientific article; zbMATH DE number 5544616