Numerical techniques for conformal mapping onto a rectangle

Papamichael, N; Kokkinos, CA; Warby, MK

dc.contributor.author	Papamichael, N	en
dc.contributor.author	Kokkinos, CA	en
dc.contributor.author	Warby, MK	en
dc.date.accessioned	2014-03-01T01:06:55Z
dc.date.available	2014-03-01T01:06:55Z
dc.date.issued	1987	en
dc.identifier.issn	0377-0427	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9682
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0023454776&partnerID=40&md5=99989b1af970da8c5a12005b0bab2167	en
dc.subject	Conformal mapping	en
dc.subject	conformal module	en
dc.subject	crowding	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	JORDAN CURVE	en
dc.subject.other	NUMERICAL METHODS	en
dc.subject.other	RECTANGLES	en
dc.subject.other	SIMPLY-CONNECTED DOMAIN	en
dc.subject.other	MATHEMATICAL TECHNIQUES	en
dc.title	Numerical techniques for conformal mapping onto a rectangle	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1987	en
heal.abstract	This paper is concerned with the problem of determining approximations to the function F which maps conformally a simply-connected domain Ω onto a rectangle R, so that four specified points on ∂Ω are mapped respectively onto the four vertices of R. In particular, we study the following two classes of methods for the mapping of domains of the form Ω{colon equals} {z = x + iy:00 < x < 1, τ1(x) < y < τ2(x)}. (i) Methods which approximate F: Ω → R by F ̃ = S {ring operator} F ̃, where F̃ is an approximation to the conformal map of Ω onto the unit disc, and S is a simple Schwarz-Christoffel transformation. (ii) Methods based on approximating the conformal map of a certain symmetric doubly-connected domain onto a circular annulus. © 1987.	en
heal.publisher	ELSEVIER SCIENCE BV	en
heal.journalName	Journal of Computational and Applied Mathematics	en
dc.identifier.isi	ISI:A1987L111800032	en
dc.identifier.volume	20	en
dc.identifier.issue	C	en
dc.identifier.spage	349	en
dc.identifier.epage	358	en