Experiment on numerical conformal mapping of unbounded multiply connected domain in fundamental solutions method
We are concerned with the experiment on numerical conformal mappings. A potentially theoretical scheme in the fundamental solutions method, different from the conventional one, has been recently proposed for numerical conformal mappings of unbounded multiply connected domains. The scheme is based o...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201004112 |
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| _version_ | 1832551532009095168 |
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| author | Tetsuo Inoue Hideo Kuhara Kaname Amano Dai Okano |
| author_facet | Tetsuo Inoue Hideo Kuhara Kaname Amano Dai Okano |
| author_sort | Tetsuo Inoue |
| collection | DOAJ |
| description | We are concerned with the experiment on numerical conformal mappings. A potentially theoretical scheme in the fundamental solutions method, different from the conventional one, has been recently proposed for numerical conformal mappings of unbounded multiply connected domains. The scheme is based on the asymptotic theorem on extremal weighted polynomials. The scheme has the characteristic called invariant and dual. Applying the scheme for typical examples, we will show that the numerical results of high accuracy may be obtained. |
| format | Article |
| id | doaj-art-5362c3bdd21640c183ab65b0fa45369e |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-5362c3bdd21640c183ab65b0fa45369e2025-02-03T06:01:16ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-01261556310.1155/S0161171201004112Experiment on numerical conformal mapping of unbounded multiply connected domain in fundamental solutions methodTetsuo Inoue0Hideo Kuhara1Kaname Amano2Dai Okano3Department of Applied Mathematics, Kobe Mercantile Marine College, Higashinadaku, Kobe 658-0022, JapanYatsusiro National College of Technology, Kumamoto, JapanDepartment of Computer Science, Faculty of Engineering, Ehime University, Ehime, JapanDepartment of Computer Science, Faculty of Engineering, Ehime University, Ehime, JapanWe are concerned with the experiment on numerical conformal mappings. A potentially theoretical scheme in the fundamental solutions method, different from the conventional one, has been recently proposed for numerical conformal mappings of unbounded multiply connected domains. The scheme is based on the asymptotic theorem on extremal weighted polynomials. The scheme has the characteristic called invariant and dual. Applying the scheme for typical examples, we will show that the numerical results of high accuracy may be obtained.http://dx.doi.org/10.1155/S0161171201004112 |
| spellingShingle | Tetsuo Inoue Hideo Kuhara Kaname Amano Dai Okano Experiment on numerical conformal mapping of unbounded multiply connected domain in fundamental solutions method International Journal of Mathematics and Mathematical Sciences |
| title | Experiment on numerical conformal mapping of unbounded multiply connected domain in fundamental solutions method |
| title_full | Experiment on numerical conformal mapping of unbounded multiply connected domain in fundamental solutions method |
| title_fullStr | Experiment on numerical conformal mapping of unbounded multiply connected domain in fundamental solutions method |
| title_full_unstemmed | Experiment on numerical conformal mapping of unbounded multiply connected domain in fundamental solutions method |
| title_short | Experiment on numerical conformal mapping of unbounded multiply connected domain in fundamental solutions method |
| title_sort | experiment on numerical conformal mapping of unbounded multiply connected domain in fundamental solutions method |
| url | http://dx.doi.org/10.1155/S0161171201004112 |
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