Existence of a solution to the discrete Theodorsen equation for conformal mappings-Reference-Cited by-同舟云学术

Existence of a solution to the discrete Theodorsen equation for conformal mappings

Published:1977 Issue:138 Volume:31 Page:478-480
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Gutknecht Martin H.

Abstract

The discrete Theodorsen equation is the basis of efficient numerical methods for conformal mappings of the unit disk onto Jordan regions that are starlike with respect to the origin. Applying Brouwer’s fixed point theorem we show here that there always exists a solution to this equation.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1977-31-138/S0025-5718-1977-0440021-1/S0025-5718-1977-0440021-1.pdf

Reference3 articles.

1. Springer Tracts in Natural Philosophy, Vol. 3;Gaier, Dieter,1964

2. Solving Theodorsen’s integral equation for conformal maps with the fast Fourier transform and various nonlinear iterative methods;Gutknecht, Martin H.;Numer. Math.,1980

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