Proposal for Use the Fractional Derivative of Radial Functions in Interpolation Problems
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2019
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| _version_ | 1866910303070978048 |
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| author | Torres-Hernandez, A. Brambila-Paz, F. Torres-Martínez, C. |
| author_facet | Torres-Hernandez, A. Brambila-Paz, F. Torres-Martínez, C. |
| contents | In this document we present the construction of a radial functions that have the objective of emulating the behavior of the radial basis function thin plate spline (TPS), which we will name as function TPS, we propose a way to partially and totally apply the fractional derivative to these functions to be used in interpolation problems, a proposal is presented to precondition the matrices generated in the interpolation problem using the $QR$ decomposition and finally is proposed the form of a radial interpolant to be used when solving differential equations using the asymmetric collocation method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1906_03760 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Proposal for Use the Fractional Derivative of Radial Functions in Interpolation Problems Torres-Hernandez, A. Brambila-Paz, F. Torres-Martínez, C. Numerical Analysis Analysis of PDEs In this document we present the construction of a radial functions that have the objective of emulating the behavior of the radial basis function thin plate spline (TPS), which we will name as function TPS, we propose a way to partially and totally apply the fractional derivative to these functions to be used in interpolation problems, a proposal is presented to precondition the matrices generated in the interpolation problem using the $QR$ decomposition and finally is proposed the form of a radial interpolant to be used when solving differential equations using the asymmetric collocation method. |
| title | Proposal for Use the Fractional Derivative of Radial Functions in Interpolation Problems |
| topic | Numerical Analysis Analysis of PDEs |
| url | https://arxiv.org/abs/1906.03760 |