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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]. |
URI: | http://bura.brunel.ac.uk/handle/2438/2266 |
Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
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TR_05_86.pdf | 317.32 kB | Adobe PDF | View/Open |
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