Best polynomial approximation for non-autonomous linear ODEs in the $\star$-product framework
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866917692069380096 |
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| author | Pozza, Stefano |
| author_facet | Pozza, Stefano |
| contents | We present the first formulation of the optimal polynomial approximation of the solution of linear non-autonomous systems of ODEs in the framework of the so-called $\star$-product. This product is the basis of new approaches for the solution of such ODEs, both in the analytical and the numerical sense. The paper shows how to formally state the problem and derives upper bounds for its error. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_19645 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Best polynomial approximation for non-autonomous linear ODEs in the $\star$-product framework Pozza, Stefano Classical Analysis and ODEs Numerical Analysis 46F10, 37C60, 65L05 We present the first formulation of the optimal polynomial approximation of the solution of linear non-autonomous systems of ODEs in the framework of the so-called $\star$-product. This product is the basis of new approaches for the solution of such ODEs, both in the analytical and the numerical sense. The paper shows how to formally state the problem and derives upper bounds for its error. |
| title | Best polynomial approximation for non-autonomous linear ODEs in the $\star$-product framework |
| topic | Classical Analysis and ODEs Numerical Analysis 46F10, 37C60, 65L05 |
| url | https://arxiv.org/abs/2404.19645 |