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Rational approximation to harmonic functions

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Abstract

Padé-type approximation is the rational function analogue of Taylor’s polynomial approximation to a power series. A general method for obtaining Padé-type approximants to Fourier series expansions of harmonic functions is defined. This method is based on the Newton-Cotes and Gauss quadrature formulas. Several concrete examples are given and the convergence behavior of a sequence of such approximants is studied.

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Authors and Affiliations

  1. Department of Mathematics, Hellenic Air Force Academy, Dekeleia Attikis, Greece

    Nicholas J. Daras

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  1. Nicholas J. Daras
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Daras, N.J. Rational approximation to harmonic functions. Numerical Algorithms 20, 285–301 (1999). https://doi.org/10.1023/A:1019172321704

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  • DOI: https://doi.org/10.1023/A:1019172321704

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