Nearly Circular Regions

Prem K. Kythe
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Prem K. Kythe: University of New Orleans, Department of Mathematics

Chapter Chapter 5 in Computational Conformal Mapping, 1998, pp 120-146 from Springer

Abstract: Abstract We shall investigate methods for constructing a mapping function for conformal mapping of a simply connected nearly circular region onto a disk. A classical method that involves series expansion in powers of a small parameter for the interior and the exterior regions, known as the method of infinite systems, is presented with case studies, in which successive approximations are used to compute the approximate mapping function.

Keywords: Unit Disk; Mapping Function; Successive Approximation; Trigonometric Series; Circular Region (search for similar items in EconPapers)
Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-2002-2_6

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DOI: 10.1007/978-1-4612-2002-2_6

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