Sobre um Problema de Transformação Conforme

Authors

  • L. Bourchtein
  • A. Bourchtein
  • A.N. Oliveira

DOI:

https://doi.org/10.5540/tema.2005.06.01.0055

Abstract

Neste artigo é analisada a transformação conforme do quadrado unitário no círculo unitário de tal modo que os vértices do quadrado passam em quatro pontos eq¨uidistantes da circunferência unitária. Para construirmos esta transformação, utilizamos as funções elementares, os princípios básicos, o princípio de simetria de Riemann-Schwarz e, principalmente, a integral de Schwarz-Christoffel.

References

[1] A. Bourchtein, L. Bourchtein, B. Herreira, Algumas questões da geração de grades ortogonais computacionais, Mecânica Computacional, 22 (2003), 2282-2294.

C. Carathéodory, “Conformal Representation”, Dover Pub., New York, 1998.

G.M. Goluzin, “Geometric theory of functions of a complex variable”, Mathematical monographs, Amer. Math. Soc., Vol. 26, 1969.

E. Jahnke, F. Emde e F. L¨osch, “Tables of Higher Functions”, McGraw-Hill, New York, 1960.

P. Knupp e S. Steinberg, “Fundamentals of grid generation”, CRC Press, Boca Raton, 1993.

Z. Nehari, “Conformal Mapping”, Dover Pub., New York, 1997.

W. Rudin, “Real and Complex Analysis”, McGraw-Hill, New York, 1987.

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Published

2005-06-01

How to Cite

Bourchtein, L., Bourchtein, A., & Oliveira, A. (2005). Sobre um Problema de Transformação Conforme. Trends in Computational and Applied Mathematics, 6(1), 55–64. https://doi.org/10.5540/tema.2005.06.01.0055

Issue

Vol. 6 No. 1 (2005)

Section

Original Article

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