Theoretical consideration of charge simulation method for numerical conformal mappings in a ring domain

The charge simulation method has been applied to solve a lot of problems in electrical engineering. However, the principle of the method is not known enough even now. This paper is devoted to giving the theoretical and mathematical base for the charge simulation method of numerical conformal mapping...

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Main Author: Tetsuo Inoue
Format: Article
Language:English
Published: Hindawi Limited 1998-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171298000404
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spelling doaj-22bdfcb16b534b998ea04a5dedf9128a2020-11-24T21:36:23ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251998-01-0121228929810.1155/S0161171298000404Theoretical consideration of charge simulation method for numerical conformal mappings in a ring domainTetsuo Inoue0Department of Applied Mathematics, Kobe Mercantile Marine College Higashinada, Fukae-Minami 5-1-1, Kobe 658, JapanThe charge simulation method has been applied to solve a lot of problems in electrical engineering. However, the principle of the method is not known enough even now. This paper is devoted to giving the theoretical and mathematical base for the charge simulation method of numerical conformal mappings in ring domains. Therefore for example, the uniform, convergence of approximations, the theoretical distribution of charge points, and the charges will be mathematically discussed. An example is shown to help understanding of theoretical considerations.http://dx.doi.org/10.1155/S0161171298000404
collection DOAJ
language English
format Article
sources DOAJ
author Tetsuo Inoue
spellingShingle Tetsuo Inoue
Theoretical consideration of charge simulation method for numerical conformal mappings in a ring domain
International Journal of Mathematics and Mathematical Sciences
author_facet Tetsuo Inoue
author_sort Tetsuo Inoue
title Theoretical consideration of charge simulation method for numerical conformal mappings in a ring domain
title_short Theoretical consideration of charge simulation method for numerical conformal mappings in a ring domain
title_full Theoretical consideration of charge simulation method for numerical conformal mappings in a ring domain
title_fullStr Theoretical consideration of charge simulation method for numerical conformal mappings in a ring domain
title_full_unstemmed Theoretical consideration of charge simulation method for numerical conformal mappings in a ring domain
title_sort theoretical consideration of charge simulation method for numerical conformal mappings in a ring domain
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 1998-01-01
description The charge simulation method has been applied to solve a lot of problems in electrical engineering. However, the principle of the method is not known enough even now. This paper is devoted to giving the theoretical and mathematical base for the charge simulation method of numerical conformal mappings in ring domains. Therefore for example, the uniform, convergence of approximations, the theoretical distribution of charge points, and the charges will be mathematically discussed. An example is shown to help understanding of theoretical considerations.
url http://dx.doi.org/10.1155/S0161171298000404
work_keys_str_mv AT tetsuoinoue theoreticalconsiderationofchargesimulationmethodfornumericalconformalmappingsinaringdomain
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