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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 6, Pages 1008–1019
DOI: https://doi.org/10.7868/S0044466915060083
(Mi zvmmf10222)
 

This article is cited in 3 scientific papers (total in 3 papers)

Dynamic reconstruction of the right-hand side of a hyperbolic equation

V. I. Maksimovab

a Krasovskii Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, ul. S. Kovalevskoi 16, Yekaterinburg, 620219, Russia
b Ural Federal University, ul. Mira 19, Yekaterinburg, 620002, Russia
Full-text PDF (251 kB) Citations (3)
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Abstract: A hyperbolic equation subject to external disturbances is considered. It is assumed that its solution can be measured (possibly with some errors). Algorithms for recovering (reconstructing) the disturbances from the measurements are described. The algorithms are robust to observational and computational errors.
Key words: hyperbolic equations, reconstruction of disturbances, numerical reconstruction algorithms.
Received: 18.03.2013
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 6, Pages 1004–1014
DOI: https://doi.org/10.1134/S096554251506007X
Bibliographic databases:
Document Type: Article
UDC: 519.633.9
Language: Russian
Citation: V. I. Maksimov, “Dynamic reconstruction of the right-hand side of a hyperbolic equation”, Zh. Vychisl. Mat. Mat. Fiz., 55:6 (2015), 1008–1019; Comput. Math. Math. Phys., 55:6 (2015), 1004–1014
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/zvmmf/v55/i6/p1008
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Abstract page:290
    Full-text PDF :50
    References:66
    First page:13
     
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