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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2021, Volume 312, Pages 216–223
DOI: https://doi.org/10.4213/tm4139 (Mi tm4139) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Optimal Recovery of Pipe Temperature from Inaccurate Measurements

G. G. Magaril-Il'yaevabc, K. Yu. Osipenkoadb, E. O. Sivkovaefc

a Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Leninskie Gory 1, Moscow, 119991 Russia
b Institute for Information Transmission Problems (Kharkevich Institute), Russian Academy of Sciences, Bol'shoi Karetnyi per. 19, str. 1, Moscow, 127051 Russia
c Southern Mathematical Institute, Vladikavkaz Scientific Center of Russian Academy of Sciences, ul. Vatutina 53, Vladikavkaz, 362027 Russia
d Moscow Aviation Institute (National Research University), Volokolamskoe sh. 4, Moscow, 125993 Russia
e Moscow Pedagogical State University, Malaya Pirogovskaya ul. 1/1, Moscow, 119991 Russia
f National Research University Higher School of Economics, ul. Myasnitskaya 20, Moscow, 101000 Russia
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DOI: https://doi.org/10.4213/tm4139
Abstract: The problem of optimal recovery of the solution of the heat equation on a manifold at a given instant of time from inaccurate measurements of this solution at other instants of time is considered, the manifold being the product of the real line and a circle. A family of optimal recovery methods is constructed.
Received: May 25, 2020
Revised: August 18, 2020
Accepted: August 24, 2020
English version:
Proceedings of the Steklov Institute of Mathematics, 2021, Volume 312, Pages 207–214
DOI: https://doi.org/10.1134/S0081543821010120
Bibliographic databases:
Document Type: Article
UDC: 517.984.64
Language: Russian
Citation: G. G. Magaril-Il'yaev, K. Yu. Osipenko, E. O. Sivkova, “Optimal Recovery of Pipe Temperature from Inaccurate Measurements”, Function Spaces, Approximation Theory, and Related Problems of Analysis, Collected papers. In commemoration of the 115th anniversary of Academician Sergei Mikhailovich Nikol'skii, Trudy Mat. Inst. Steklova, 312, Steklov Math. Inst., Moscow, 2021, 216–223; Proc. Steklov Inst. Math., 312 (2021), 207–214
Citation in format AMSBIB
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\paper Optimal Recovery of Pipe Temperature from Inaccurate Measurements
\inbook Function Spaces, Approximation Theory, and Related Problems of Analysis
\bookinfo Collected papers. In commemoration of the 115th anniversary of Academician Sergei Mikhailovich Nikol'skii
\serial Trudy Mat. Inst. Steklova
\yr 2021
\vol 312
\pages 216--223
\publ Steklov Math. Inst.
\publaddr Moscow
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\jour Proc. Steklov Inst. Math.
\yr 2021
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\pages 207--214
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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