A sharp error estimate for the fast Gauss transform

Authors:
Xiaoliang Wan;George Em Karniadakis
Affiliations:
Division of Applied Mathematics, Brown University, Providence, RI;Division of Applied Mathematics, Brown University, Providence, RI
Venue:
Journal of Computational Physics
Year:
2006

Citing 5
Cited 1

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Stochastic finite elements: a spectral approach
The fast Gauss transform

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Deflation Techniques for an Implicitly Restarted Arnoldi Iteration

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A New Error Estimate of the Fast Gauss Transform

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The uselessness of the Fast Gauss Transform for summing Gaussian radial basis function series

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Abstract

We report an error estimate of the multi-dimensional fast Gauss transform (FGT), which is much sharper than that previously reported in the literature. An application to the Karhunen-Loeve decomposition in the three-dimensional physical space is also presented that shows savings of three orders of magnitude in time and memory compared to a direct solver.