Hermite bicubic spline collocation method for Poisson's equations
In this paper is presented a bicubic spline collocation method for the numerical approximation of the solution of Dirichlet problem for the Poisson's equation. The approximating solution is effectively determined in a bicubic Hermite spline functions space by using a suitable basis cons...
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| Format: | Article |
| Language: | English |
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Publishing House of the Romanian Academy
2004-02-01
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| Series: | Journal of Numerical Analysis and Approximation Theory |
| Subjects: | |
| Online Access: | https://ictp.acad.ro/jnaat/journal/article/view/763 |
| _version_ | 1828779613445160960 |
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| author | Mihaela Puşcaş |
| author_facet | Mihaela Puşcaş |
| author_sort | Mihaela Puşcaş |
| collection | DOAJ |
| description | In this paper is presented a bicubic spline collocation method for
the numerical approximation of the solution of Dirichlet problem
for the Poisson's equation. The approximating solution is
effectively determined in a bicubic Hermite spline functions space
by using a suitable basis constructed as a tensorial product of
univariate spline spaces. |
| first_indexed | 2024-12-11T17:04:53Z |
| format | Article |
| id | doaj.art-5cd347f346e742c3a5934b1343b459b8 |
| institution | Directory Open Access Journal |
| issn | 2457-6794 2501-059X |
| language | English |
| last_indexed | 2024-12-11T17:04:53Z |
| publishDate | 2004-02-01 |
| publisher | Publishing House of the Romanian Academy |
| record_format | Article |
| series | Journal of Numerical Analysis and Approximation Theory |
| spelling | doaj.art-5cd347f346e742c3a5934b1343b459b82022-12-22T00:57:43ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2004-02-01331Hermite bicubic spline collocation method for Poisson's equationsMihaela Puşcaş0Fundatia Universitara AISTEDA, Alba-Iulia, RomaniaIn this paper is presented a bicubic spline collocation method for the numerical approximation of the solution of Dirichlet problem for the Poisson's equation. The approximating solution is effectively determined in a bicubic Hermite spline functions space by using a suitable basis constructed as a tensorial product of univariate spline spaces.https://ictp.acad.ro/jnaat/journal/article/view/763spline approximating solutionDirichlet problemPoisson's equationsmooth approximationbicubic spline collocation |
| spellingShingle | Mihaela Puşcaş Hermite bicubic spline collocation method for Poisson's equations Journal of Numerical Analysis and Approximation Theory spline approximating solution Dirichlet problem Poisson's equation smooth approximation bicubic spline collocation |
| title | Hermite bicubic spline collocation method for Poisson's equations |
| title_full | Hermite bicubic spline collocation method for Poisson's equations |
| title_fullStr | Hermite bicubic spline collocation method for Poisson's equations |
| title_full_unstemmed | Hermite bicubic spline collocation method for Poisson's equations |
| title_short | Hermite bicubic spline collocation method for Poisson's equations |
| title_sort | hermite bicubic spline collocation method for poisson s equations |
| topic | spline approximating solution Dirichlet problem Poisson's equation smooth approximation bicubic spline collocation |
| url | https://ictp.acad.ro/jnaat/journal/article/view/763 |
| work_keys_str_mv | AT mihaelapuscas hermitebicubicsplinecollocationmethodforpoissonsequations |