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Preprints of the Keldysh Institute of Applied Mathematics, 2019, 075, 40 pp.
DOI: https://doi.org/10.20948/prepr-2019-75 (Mi ipmp2713) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Methods without saturation in computational mathematics

M. B. Gavrikov
Full-text PDF (1469 kB) Citations (6)
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DOI: https://doi.org/10.20948/prepr-2019-75
Abstract: Mathematical constructions of the saturation phenomenon in approximation theory and numerical analysis are considered. There are analyzed the fundamental contribution of K.I. Babenko in the study of saturable and unsaturable computational algorithms. A modern definition of saturability is given and numerous examples of saturation studies in problems of approximation theory, the theory of quadrature formulas and numerical analysis are considered.
Keywords: saturability, unsaturability, saturation class, saturation threshold, saturation order.
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Document Type: Preprint
Language: Russian
Citation: M. B. Gavrikov, “Methods without saturation in computational mathematics”, Keldysh Institute preprints, 2019, 075, 40 pp.
Citation in format AMSBIB
\Bibitem{Gav19}
\by M.~B.~Gavrikov
\paper Methods without saturation in computational mathematics
\jour Keldysh Institute preprints
\yr 2019
\papernumber 075
\totalpages 40
\mathnet{http://mi.mathnet.ru/ipmp2713}
\crossref{https://doi.org/10.20948/prepr-2019-75}
\elib{https://elibrary.ru/item.asp?id=38535636}
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  • https://www.mathnet.ru/eng/ipmp2713
  • https://www.mathnet.ru/eng/ipmp/y2019/p75
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Препринты Института прикладной математики им. М. В. Келдыша РАН
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    Full-text PDF :114
    References:9
     
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