Optimal choice of grid points in multidimensional pseudospectral Fourier methods
type: Item
instance of: scholarly article
title: Optimal choice of grid points in multidimensional pseudospectral Fourier methods
zbMATH Open document ID: 0646.65079
DOI: 10.1016/0021-9991(88)90142-8
author: Ronnie Kosloff
author: R. H. Bisseling
published in: Journal of Computational Physics
publication date: 1988-01-01T00:00:00Z
review text: The authors show that for multidimensional pseudospectral Fourier methods sampling efficiency is improved by using a skewed grid derived from a dense packing of spheres rather than a rectangular grid. A considerable gain is found for the five-dimensional Laplacian and for a pair of hydrogen atoms.
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 81Q05
zbMATH DE Number: 4054966
zbMATH Keywords: sampling grid
zbMATH Keywords: Schrödinger equation
zbMATH Keywords: pseudospectral Fourier methods
zbMATH Keywords: dense packing of spheres
zbMATH Keywords: Laplacian
reviewed by: J. D. P. Donnelly
MaRDI profile type: Publication
full work available at URL: 0021-9991(88)90142-8
OpenAlex ID: W2046035534
cites work: Extreme Forms
cites work: Q5568974
cites work: On the Voronoi Regions of Certain Lattices
cites work: Tables of sphere packings and spherical codes
cites work: Q3229904
cites work: A Fourier method solution for the time dependent Schrödinger equation as a tool in molecular dynamics
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description: scientific article; zbMATH DE number 4054966