Theoretical scheme on numerical conformal mapping of unbounded multiply connected domain by fundamental solutions method
A potentially theoretical scheme in the fundamental solutions method, different from the conventional one, is proposed for numerical conformal mappings of unbounded multiply connected domains. The scheme is introduced from an algorithm on numerical Dirichlet problem, based on the asymptotic theorem...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171200002428 |
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| _version_ | 1849395298953068544 |
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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 | A potentially theoretical scheme in the fundamental solutions
method, different from the conventional one, is proposed for
numerical conformal mappings of unbounded multiply connected
domains. The scheme is introduced from an algorithm on numerical
Dirichlet problem, based on the asymptotic theorem on extremal
weighted polynomials. The scheme introduced in this paper has the
characteristic called invariant and dual. |
| format | Article |
| id | doaj-art-ab3f4e5485d440bea83f5de8e749076b |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-ab3f4e5485d440bea83f5de8e749076b2025-08-20T03:39:40ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-0124212913710.1155/S0161171200002428Theoretical scheme on numerical conformal mapping of unbounded multiply connected domain by fundamental solutions methodTetsuo Inoue0Hideo Kuhara1Kaname Amano2Dai Okano3Department of Information Systems Engineering, Kobe Mercantile Marine College, Kobe, 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, JapanA potentially theoretical scheme in the fundamental solutions method, different from the conventional one, is proposed for numerical conformal mappings of unbounded multiply connected domains. The scheme is introduced from an algorithm on numerical Dirichlet problem, based on the asymptotic theorem on extremal weighted polynomials. The scheme introduced in this paper has the characteristic called invariant and dual.http://dx.doi.org/10.1155/S0161171200002428Extremal weighted polynomialfundamental solutions methodunbounded multiply connected domainnumerical conformal mappinginvariant and dual. |
| spellingShingle | Tetsuo Inoue Hideo Kuhara Kaname Amano Dai Okano Theoretical scheme on numerical conformal mapping of unbounded multiply connected domain by fundamental solutions method International Journal of Mathematics and Mathematical Sciences Extremal weighted polynomial fundamental solutions method unbounded multiply connected domain numerical conformal mapping invariant and dual. |
| title | Theoretical scheme on numerical conformal mapping of unbounded multiply connected domain by fundamental solutions method |
| title_full | Theoretical scheme on numerical conformal mapping of unbounded multiply connected domain by fundamental solutions method |
| title_fullStr | Theoretical scheme on numerical conformal mapping of unbounded multiply connected domain by fundamental solutions method |
| title_full_unstemmed | Theoretical scheme on numerical conformal mapping of unbounded multiply connected domain by fundamental solutions method |
| title_short | Theoretical scheme on numerical conformal mapping of unbounded multiply connected domain by fundamental solutions method |
| title_sort | theoretical scheme on numerical conformal mapping of unbounded multiply connected domain by fundamental solutions method |
| topic | Extremal weighted polynomial fundamental solutions method unbounded multiply connected domain numerical conformal mapping invariant and dual. |
| url | http://dx.doi.org/10.1155/S0161171200002428 |
| work_keys_str_mv | AT tetsuoinoue theoreticalschemeonnumericalconformalmappingofunboundedmultiplyconnecteddomainbyfundamentalsolutionsmethod AT hideokuhara theoreticalschemeonnumericalconformalmappingofunboundedmultiplyconnecteddomainbyfundamentalsolutionsmethod AT kanameamano theoreticalschemeonnumericalconformalmappingofunboundedmultiplyconnecteddomainbyfundamentalsolutionsmethod AT daiokano theoreticalschemeonnumericalconformalmappingofunboundedmultiplyconnecteddomainbyfundamentalsolutionsmethod |