A Spectral Method for Polar Coordinates
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T. Matsushima; P.S. Marcus
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Article
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1995
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Elsevier Science
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English
โ 426 KB
A new set of polynomial functions that can be used in spectral expansions of \(C^{\infty}\) functions in polar coordinates \((r, \phi)\) is defined by a singular Sturm-Liouville equation. With the use of the basis functions, the spectral representations remain analytic at the pole despite the coordi