Mathematical approach and numerical analysis to the fundamental solutions method of Dirichlet problem
Potentially theoretical schemes in the fundamental solutions method will be proposed for Dirichlet problems of unbounded and bounded Jordan domains. The asymptotic theorem on extremal weighted polynomials will play fundamental roles to introduce a new scheme and to determine the distribution of char...
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| Format: | Article |
| Language: | English |
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Wiley
1999-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171299223496 |
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| _version_ | 1832547491922313216 |
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| author | Tetsuo Inoue |
| author_facet | Tetsuo Inoue |
| author_sort | Tetsuo Inoue |
| collection | DOAJ |
| description | Potentially theoretical schemes in the fundamental solutions
method will be proposed for Dirichlet problems of unbounded and bounded Jordan domains. The asymptotic theorem on extremal weighted polynomials will play fundamental roles to introduce a new scheme and to determine the distribution of charge points. Typical examples of the method will show that the numerical results of higher accuracy than those of the the conventional one
can be obtained. |
| format | Article |
| id | doaj-art-2aa1a31482a6498abb26e3783dcf8530 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1999-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-2aa1a31482a6498abb26e3783dcf85302025-02-03T06:44:32ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251999-01-0122234936510.1155/S0161171299223496Mathematical approach and numerical analysis to the fundamental solutions method of Dirichlet problemTetsuo Inoue0Department of Information Systems Engineering, Kobe University of Mercantile Marine, Kobe, JapanPotentially theoretical schemes in the fundamental solutions method will be proposed for Dirichlet problems of unbounded and bounded Jordan domains. The asymptotic theorem on extremal weighted polynomials will play fundamental roles to introduce a new scheme and to determine the distribution of charge points. Typical examples of the method will show that the numerical results of higher accuracy than those of the the conventional one can be obtained.http://dx.doi.org/10.1155/S0161171299223496Extremal weighted polynomialweak convergencenormalized counting measure on zerosfundamental solutions methodDirichlet problemscharge points. |
| spellingShingle | Tetsuo Inoue Mathematical approach and numerical analysis to the fundamental solutions method of Dirichlet problem International Journal of Mathematics and Mathematical Sciences Extremal weighted polynomial weak convergence normalized counting measure on zeros fundamental solutions method Dirichlet problems charge points. |
| title | Mathematical approach and numerical analysis to the fundamental solutions method of Dirichlet problem |
| title_full | Mathematical approach and numerical analysis to the fundamental solutions method of Dirichlet problem |
| title_fullStr | Mathematical approach and numerical analysis to the fundamental solutions method of Dirichlet problem |
| title_full_unstemmed | Mathematical approach and numerical analysis to the fundamental solutions method of Dirichlet problem |
| title_short | Mathematical approach and numerical analysis to the fundamental solutions method of Dirichlet problem |
| title_sort | mathematical approach and numerical analysis to the fundamental solutions method of dirichlet problem |
| topic | Extremal weighted polynomial weak convergence normalized counting measure on zeros fundamental solutions method Dirichlet problems charge points. |
| url | http://dx.doi.org/10.1155/S0161171299223496 |
| work_keys_str_mv | AT tetsuoinoue mathematicalapproachandnumericalanalysistothefundamentalsolutionsmethodofdirichletproblem |