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Matematicheskie Zametki, 2023, Volume 113, Issue 1, Pages 118–131
DOI: https://doi.org/10.4213/mzm13563 (Mi mzm13563) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Optimal Recovery Methods Exact on Trigonometric Polynomials for the Solution of the Heat Equation

S. A. Unuchek

National Research University "Moscow Power Engineering Institute"
Full-text PDF (521 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm13563
Abstract: We consider the problem of the optimal recovery of solutions of the heat equation on the torus T from a finite set of inaccurate Fourier coefficients of the initial temperature. In addition, accuracy conditions on subspaces of trigonometric polynomials of fixed degree are imposed on these methods.
Keywords: optimal recovery, heat equation, Fourier transform, trigonometric polynomials.
Received: 25.04.2022
Revised: 09.08.2022
English version:
Mathematical Notes, 2023, Volume 113, Issue 1, Pages 116–128
DOI: https://doi.org/10.1134/S0001434623010121
Bibliographic databases:
Document Type: Article
UDC: 517.51
Language: Russian
Citation: S. A. Unuchek, “Optimal Recovery Methods Exact on Trigonometric Polynomials for the Solution of the Heat Equation”, Mat. Zametki, 113:1 (2023), 118–131; Math. Notes, 113:1 (2023), 116–128
Citation in format AMSBIB
\Bibitem{Unu23}
\by S.~A.~Unuchek
\paper Optimal Recovery Methods Exact on Trigonometric Polynomials for the Solution of the Heat Equation
\jour Mat. Zametki
\yr 2023
\vol 113
\issue 1
\pages 118--131
\mathnet{http://mi.mathnet.ru/mzm13563}
\crossref{https://doi.org/10.4213/mzm13563}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4563353}
\transl
\jour Math. Notes
\yr 2023
\vol 113
\issue 1
\pages 116--128
\crossref{https://doi.org/10.1134/S0001434623010121}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85149951000}
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  • https://www.mathnet.ru/eng/mzm13563
  • https://doi.org/10.4213/mzm13563
  • https://www.mathnet.ru/eng/mzm/v113/i1/p118
    • This publication is cited in the following 1 articles:
    1. K. Yu. Osipenko, “Recovery of analytic functions that is exact on subspaces of entire functions”, Sb. Math., 215:3 (2024), 383–400  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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