Behaviour Preserving Extensions of Univariate and Bivariate Functions
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914970507149312 |
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| author | Levin, David |
| author_facet | Levin, David |
| contents | Given function values on a domain $D_0$, possibly with noise, we examine the possibility of extending the function to a larger domain $D$, $D_0\subset D$. In addition to smoothness at the boundary of $D_0$, the extension on $D\setminus D_0$ should also inherit behavioral trends of the function on $D_0$, such as growth and decay or even oscillations. The approach chosen here is based upon the framework of linear models, univariate or bivariate, with constant or varying coefficients. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_09423 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Behaviour Preserving Extensions of Univariate and Bivariate Functions Levin, David Numerical Analysis Dynamical Systems 65D15 Given function values on a domain $D_0$, possibly with noise, we examine the possibility of extending the function to a larger domain $D$, $D_0\subset D$. In addition to smoothness at the boundary of $D_0$, the extension on $D\setminus D_0$ should also inherit behavioral trends of the function on $D_0$, such as growth and decay or even oscillations. The approach chosen here is based upon the framework of linear models, univariate or bivariate, with constant or varying coefficients. |
| title | Behaviour Preserving Extensions of Univariate and Bivariate Functions |
| topic | Numerical Analysis Dynamical Systems 65D15 |
| url | https://arxiv.org/abs/2410.09423 |