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Title: On the comparison of two numerical methods for conformal mapping
Authors: Gaier, D
Papamichael, N
Keywords: Numerical conformal mapping;method of Garrick
Issue Date: 1986
Publisher: Brunel University
Citation: Maths Technical Papers (Brunel University).May 1986, pp 1-40
Series/Report no.: ;TR/05/86
Abstract: Let G be a simply-connected domain in the t—plane (t = x + iy), bounded by the three straight lines x = 0, y = 0, x =1 and a Jordan arc with cartesian equation y = τ (X). Also, let g be the function which maps conformally a rectangle R onto G, so that the four corners of R are mapped onto those of G. In this paper we show that the method con-sidered recently by Challis and Burley [2], for determining approx- imations to g, is equivalent to a special case of the well-known method of Garrick [8] for the mapping of doubly-connected domains, Hence, by using results already available in the literature, we provide some theoretical justification for the method of [2].
Appears in Collections:Dept of Mathematics Research Papers
Mathematical Sciences

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