Numerical conformal mapping
Authors:
Sukumar Chakravarthy and Dale Anderson
Journal:
Math. Comp. 33 (1979), 953969
MSC:
Primary 30C30; Secondary 65E05
MathSciNet review:
528049
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Abstract: A numerical procedure to determine the discrete conformal mapping of an arbitrary simply connected region onto the open unit disk is described. The method is fast and directly provides an estimate of the global error due to the discretization of the mapping. The intimate relationship between the Riemann Mapping Theorem and the numerical method of construction of the conformal mapping is brought out in the presentation. The procedure is an interesting example of a method of construction that is directly based on a theorem guaranteeing existence and uniqueness.
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00255718197905280496
PII:
S 00255718(1979)05280496
Keywords:
Conformal mapping,
numerical conformal mapping
Article copyright:
© Copyright 1979
American Mathematical Society
