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Numerical Experiments on Solving Theodorsen's Integral Equation for Conformal Maps with the Fast Fourier Transform and Various Nonlinear Iterative Methods
1983
SIAM Journal on Scientific and Statistical Computing
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In [M. H. Gutknecht, Numer. Math., 36 (1981) , pp. 405-429] we investigated several iterative methods for solving discretized versions of Theodorsen's nonlinear integral equation. Here we present corresponding numerical experiments and discuss some related questions, such as the application of a continuation method, the evaluation of the approximate mapping function, the selection of the appropriate type of approximation, and the use of preliminary maps to eliminate corners. Both the nonlinear
doi:10.1137/0904001
fatcat:tp5qpgdr3neqddimq3uujbdi7e