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|Title:||Pole type singularities and the numerical conformal mapping of doubly-connected domains|
Warby, M K
|Citation:||Maths Technical Papers (Brunel University). March 1983, pp 1-38|
|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.|
|Appears in Collections:||Dept of Mathematics Research Papers|
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