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Conformal Invariants in Simply Connected Domains

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posted on 2022-11-22, 21:15 authored by Mohamed M. S. Nasser, Matti Vuorinen

This paper studies the numerical computation of several conformal invariants of simply connected domains in the complex plane including, the hyperbolic distance, the reduced modulus, the harmonic measure, and the modulus of a quadrilateral. The used method is based on the boundary integral equation with the generalized Neumann kernel. Several numerical examples are presented. The performance and accuracy of the presented method is validated by considering several model problems with known analytic solutions.

Other Information

Published in: Computational Methods and Function Theory
License: https://creativecommons.org/licenses/by/4.0
See article on publisher's website: http://dx.doi.org/10.1007/s40315-020-00351-8

History

Language

  • English

Publisher

Springer Science and Business Media LLC

Publication Year

  • 2020

Institution affiliated with

  • Qatar University

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