Telescoping fast multipole methods using Chebyshev economization (Q1908736)
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scientific article; zbMATH DE number 851741
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Telescoping fast multipole methods using Chebyshev economization |
scientific article; zbMATH DE number 851741 |
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Telescoping fast multipole methods using Chebyshev economization (English)
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5 March 1996
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Chebyshev polynomials of the first kind are applied to telescope both the far-field multipole expansions and the near-field Taylor series expansions used in solving large \(N\)-body problems via fast multipole methods. The technique is demonstrated for pairwise-additive, \(1/r\) interparticle potentials in Cartesian coordinates, and a general Mathematica package is provided to derive the modified expansion coefficients symbolically.
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Chebyshev polynomials
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far-field multipole expansions
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near-field Taylor series expansions
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\(1/r\) interparticle potentials
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Mathematica package
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