Sergei Solodky, On the optimization of numerical differentiation methods.
- https://www.uni-giessen.de/de/fbz/fb07/fachgebiete/mathematik/mathematik/arbeitsgruppen/numerik/oberseminar-numerik/verter/vortrag-solodky
- Sergei Solodky, On the optimization of numerical differentiation methods.
- 2024-12-05T16:00:00+01:00
- 2024-12-05T18:00:00+01:00
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05.12.2024 von 16:00 bis 18:00 (Europe/Berlin / UTC100)
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Abstract: We study optimization problems of numerical differentiation and summation methods on classes of smooth functions. Sharp estimates (in order) of the optimal recovery error and information complexity are calculated for these classes. Algorithms are constructed based on the truncation method and Chebyshev polynomials to implement these estimates. Moreover, we find under what conditions the summation problem is well-posed.