Minimal Numerical Differentiation Formulas
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2016
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| _version_ | 1866912549723701248 |
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| author | Davydov, Oleg Schaback, Robert |
| author_facet | Davydov, Oleg Schaback, Robert |
| contents | We investigate numerical differentiation formulas on irregular centers in two or more variables that are exact for polynomials of a given order and minimize an absolute seminorm of the weight vector. Error bounds are given in terms of a growth function that carries the information about the geometry of the centers. Specific forms of weighted $\ell_1$ and weighted least squares minimization are proposed that produce numerical differentiation formulas with particularly good performance in numerical experiments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1611_05001 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | Minimal Numerical Differentiation Formulas Davydov, Oleg Schaback, Robert Numerical Analysis 65D25 We investigate numerical differentiation formulas on irregular centers in two or more variables that are exact for polynomials of a given order and minimize an absolute seminorm of the weight vector. Error bounds are given in terms of a growth function that carries the information about the geometry of the centers. Specific forms of weighted $\ell_1$ and weighted least squares minimization are proposed that produce numerical differentiation formulas with particularly good performance in numerical experiments. |
| title | Minimal Numerical Differentiation Formulas |
| topic | Numerical Analysis 65D25 |
| url | https://arxiv.org/abs/1611.05001 |