An Improved Method for Numerical Conformal Mapping

A new technique for the numerical conformal mapping of a planar region onto the unit disk has been presented and tested by Symm. By elaborating on his methods, we have improved the accuracy of the numerical results by up to four orders of magnitude. For illustration, our methods have been applied to...

Full description

Saved in:
Bibliographic Details
Published in:Mathematics of computation 1972, Vol.26 (118), p.327-s28
Main Authors: Hayes, John K., Kahaner, David K., Kellner, Richard G.
Format: Article
Language:English
Subjects:
Approximation
Boundary points
Conformal mapping
Differential equations
Ellipses
Inlets
Mathematical functions
Polynomials
Simply connected regions
Subroutines
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A new technique for the numerical conformal mapping of a planar region onto the unit disk has been presented and tested by Symm. By elaborating on his methods, we have improved the accuracy of the numerical results by up to four orders of magnitude. For illustration, our methods have been applied to several of the same regions considered in the literature by Symm and Rabinowitz. A flexible FORTRAN code and User's Guide are reproduced on the microfiche card in this issue.
ISSN:0025-5718
1088-6842
DOI:10.1090/s0025-5718-1972-0301176-8