A simplified Fornberg-like method for the conformal mapping of multiply connected regions - Comparisons and crowding

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:209

Article

Benchama, N.²  DeLillo, T. K.¹  Hrycak, T.³  Wang, L.⁴ 

[1] Wichita State Univ, Dept Math Sci, Dept Math & Stat, Wichita, KS 67260 USA

[2] Minnesota State Community & Tech Coll, Dept Math, Moorhead, MN 56560 USA

[3] Univ Vienna, Dept Math, Vienna, Austria

[4] Ft Hays State Univ, Dept Math & Comp Sci, Hays, KS 67601 USA

关键词: numerical conformal mapping;    multiply connected regions;    crowding;   

DOI  :  10.1016/j.cam.2006.10.030

来源: Elsevier

【 摘 要 】

We present a new Fornberg-like method for the numerical conformal mapping of multiply connected regions exterior to circles to multiply connected regions exterior to smooth curves. The method is based on new, symmetric conditions for analytic extension of functions given on circular boundaries. We also briefly discuss a similar method due to Wegmann and compare some computations with both methods. Some examples of regions which exhibit crowding of the circles are also presented. (c) 2006 Elsevier B.V. All rights reserved.

【 授权许可】

Free