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Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/2528

Title: Pole type singularities and the numerical conformal mapping of doubly-connected domains
Authors: Papamichael, N
Warby, M K
Publication Date: 1983
Publisher: Brunel University
Citation: Maths Technical Papers (Brunel University). March 1983, pp 1-38
Series/Report no.: ;TR/02/83
Abstract: Let f be the function which maps conformally a given doubly-connected domain onto a circular annulus, and let Ω H(z) = f '(z) / f(z) - 1/z . In this paper we consider the problem of determining the main singularities of the function H in compl)(Ω∂∪Ω. Our purpose is to provide information regarding the location and nature of such singularities, and to explain how this information can be used to improve the efficiency of certain expansion methods for numerical conformal mapping.
URI: http://bura.brunel.ac.uk/handle/2438/2528
Appears in Collections:Mathematics Technical Papers

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