Journal of applied mathematics & informatics
- 제20권1_2호
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- Pages.595-602
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- 2006
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
A STUDY ON THE EFFECTIVE ALGORITHMS BASED ON THE WEGMANN'S METHOD
초록
Determinations of conformal map from the unit disk onto a Jordan region are reduced to solve the Theodorsen equation which is an integral equation for the boundary correspondence function. Among numerical conformal maps the Wegmann's method is well known as a Newton efficient one for solving Theodorsen equation. However this method has not so wide class of convergence. We proposed as an improved method for convergence by applying a low frequency filter to the Wegmann's method. In this paper, we investigate error analysis and propose an automatic algorithm based on this analysis.