Numerical conformal mapping of multiply connected regions by Fornberg-like methods |
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| Authors: | Thomas K. DeLillo Mark A. Horn John A. Pfaltzgraff |
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| Affiliation: | (1) Department of Mathematics and Statistics, Wichita State University, Wichita, KS 67260–0033, USA; e-mail: delillo@twsuvm.uc.twsu.edu , US;(2) ARINC, Inc., 6703 Odyssey Drive, Suite 104, Huntsville, AL 35806, USA; e-mail: mhorn@arinc.com , US;(3) Department of Mathematics, University of North Carolina at Chapel Hill, Phillips Hall, CB 3250, Chapel Hill, NC 27599-3250, USA; e-mail: jap@math.unc.edu , US |
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| Abstract: | Summary. We develop a new algorithm for computing conformal maps from regions exterior to non-overlapping disks to unbounded multiply connected regions exterior to non-overlapping, smoothly bounded Jordan regions. The method is an extension of Fornberg's original Newton-like method for mapping of the disk to simply connected regions. A Fortran program based on the algorithm has been developed and tested for the 2 and 3 disk case. Numerical examples are reported. Received March 12, 1998 / Revised version received December 16, 1998 |
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| Keywords: | Mathematics Subject Classification (1991):30C30 65E05 |
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