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A nonlinear integral equation for numerical conformal mapping

A nonlinear integral equation for numerical conformal mapping Abstract In this paper we derive and study a nonlinear boundary integral equation for calculating the boundary value of the conformal mapping from a starlike simply connected region G onto another starlike simply connected region Ω. The integral equation can be interpreted as a generalization of the classical Theodorsen integral equation. Numerical results are presented to illustrate the performance of the proposed method. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Advances in Pure and Applied Mathematics de Gruyter

A nonlinear integral equation for numerical conformal mapping

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Publisher
de Gruyter
Copyright
Copyright © 2010 by the
ISSN
1867-1152
eISSN
1869-6090
DOI
10.1515/apam.2010.005
Publisher site
See Article on Publisher Site

Abstract

Abstract In this paper we derive and study a nonlinear boundary integral equation for calculating the boundary value of the conformal mapping from a starlike simply connected region G onto another starlike simply connected region Ω. The integral equation can be interpreted as a generalization of the classical Theodorsen integral equation. Numerical results are presented to illustrate the performance of the proposed method.

Journal

Advances in Pure and Applied Mathematicsde Gruyter

Published: Mar 1, 2010

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