A Study on the Error Estimate for Wegmann`s Method applying Low Frequency Pass Filter


The KIPS Transactions:PartA, Vol. 12, No. 2, pp. 103-108, Apr. 2005
10.3745/KIPSTA.2005.12.2.103,   PDF Download:

Abstract

The purpose of numerical analysis is to design an effective algorithm to realize some mathematical model on computer. In general the approximate value, which is obtained from computer operation, is not the same as the real value that is given by mathematical theory. Therefore the error estimate measuring how approximate value is near to the real value, is the most significant task to evaluate the efficiency of algorithm. The limit of an error is used for error estimation at the most case, but the exact error evaluation could not be expected to get for there is no way to know the real value of the given problem. Wegmann''s method has been researched, which is one of the solution to derive the numerical conformal mapping. We proposed an improved method for convergence by applying a low frequency filter to the Wegmann''s method. In this paper we investigate error analysis based on some mathematical theory and propose an effective method which makes us able to estimate an error if the real value is not acquired. This kind of proposed method is also proved by numerical experiment.


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Cite this article
[IEEE Style]
E. J. Song, "A Study on the Error Estimate for Wegmann`s Method applying Low Frequency Pass Filter," The KIPS Transactions:PartA, vol. 12, no. 2, pp. 103-108, 2005. DOI: 10.3745/KIPSTA.2005.12.2.103.

[ACM Style]
Eun Jee Song. 2005. A Study on the Error Estimate for Wegmann`s Method applying Low Frequency Pass Filter. The KIPS Transactions:PartA, 12, 2, (2005), 103-108. DOI: 10.3745/KIPSTA.2005.12.2.103.