On optimal recovery of unbounded operators from inaccurate data
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915283090800640 |
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| author | Davydov, Oleg Solodky, Sergei |
| author_facet | Davydov, Oleg Solodky, Sergei |
| contents | The problems of optimal recovery of unbounded operators are studied. Optimality means the highest possible accuracy and the minimal amount of discrete information involved. It is established that the truncation method, when certain conditions are met, realizes the optimal values of the studied quantities. As an illustration of the general results, problems of numerical differentiation and the backward parabolic equation are considered. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_07123 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On optimal recovery of unbounded operators from inaccurate data Davydov, Oleg Solodky, Sergei Numerical Analysis 47A52, 65D25, 35R30 The problems of optimal recovery of unbounded operators are studied. Optimality means the highest possible accuracy and the minimal amount of discrete information involved. It is established that the truncation method, when certain conditions are met, realizes the optimal values of the studied quantities. As an illustration of the general results, problems of numerical differentiation and the backward parabolic equation are considered. |
| title | On optimal recovery of unbounded operators from inaccurate data |
| topic | Numerical Analysis 47A52, 65D25, 35R30 |
| url | https://arxiv.org/abs/2505.07123 |