Extremal distance, harmonic measure and numerical conformal mapping
type: Item
instance of: scholarly article
title: Extremal distance, harmonic measure and numerical conformal mapping
zbMATH Open document ID: 0782.30009
DOI: 10.1016/0377-0427(93)90289-N
author: John A. Pfaltzgraff
author: T. K. DeLillo
published in: Journal of Computational and Applied Mathematics
publication date: 1993-08-08T00:00:00Z
review text: This is essentially a study on the crowding phenomenon in numerical conformal mapping which means that an arc \(E\) of the boundary of a simply connected domain \(G\) may be compressed exponentially by the map \(g\) from \(G\) to \(\mathbb{D}\) if \(G\) is a slender region. This can be made precise by the use of harmonic measure. A new aspect is the application of an estimate due to Pfluger in which the harmonic measure is estimated directly by geometric quantities like area and inner Euclidean distance.
Mathematics Subject Classification ID: 30C30
Mathematics Subject Classification ID: 30C85
zbMATH DE Number: 219114
zbMATH Keywords: crowding phenomenon
reviewed by: Dieter Gaier
describes a project that uses: SCPACK
describes a project that uses: CONFPACK
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 219114