THE ACCURACY OF NUMERICAL CONFORMAL MAPPING METHODS - A SURVEY OF EXAMPLES AND RESULTS

被引：32

作者：

DELILLO, TK

机构：

[1] The Wichita State Univ, Wichita, KS

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1994年 / 31卷 / 03期

关键词：

NUMERICAL CONFORMAL MAPPING; CROWDING; FOURIER SERIES METHODS;

D O I：

10.1137/0731043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper shows how the geometry of the region affects the conditioning and the accuracy of numerical conformal mapping methods for simply connected regions, especially Fourier series methods. Both explicit examples of popular test cases and more general estimates are discussed. The severe ill conditioning that is known as the crowding phenomenon is discussed and its effect on a conformally transplanted boundary value problem is illustrated. Remarks on various numerical methods are included.

引用

页码：788 / 812

页数：25

共 55 条

[1]

Ahlfors L. V., 1973, CONFORMAL INVARIANTS

[2] FAST WAVELET TRANSFORMS AND NUMERICAL ALGORITHMS .1. [J].