A remark on the fast Gauss transform (Q1884464)
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scientific article; zbMATH DE number 2113014
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A remark on the fast Gauss transform |
scientific article; zbMATH DE number 2113014 |
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A remark on the fast Gauss transform (English)
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1 November 2004
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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.
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numerical examples
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discrete Gauss transform
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fast Gauss transform
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Fourier integral
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trapezoidal rule
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plane waves
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0.93019754
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0.9176919
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0.9095649
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0.90572876
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0.9005331
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0.89032847
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