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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 4, Pages 674–680 (Mi zvmmf157)  
This article is cited in 3 scientific papers (total in 3 papers)

Reconstruction of the right-hand side of a parabolic equation

M. M. Lavrent'eva, V. I. Maksimovb

a Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, pr. Akademika Koptyuga 4, Novosibirsk, 630090, Russia
b Institute of Mathematics and Mechanics, Ural Division, Russian Academy of Sciences, ul. S. Kovalevskoi 16, Yekaterinburg, 620219, Russia
Full-text PDF (744 kB) Citations (3)
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Abstract: A parabolic equation under the influence of external perturbations is considered. It is assumed that the solutions to this equation are measured (possibly with errors). The problem of construction of differential equations for estimation (reconstruction) of perturbations using the measured data is discussed. Differential equations of the auxiliary system whose right-hand sides are approximations of the unknown input are derived.
Key words: parabolic equations, reconstruction of perturbations using measured data, inverse problems.
Received: 20.06.2007
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 4, Pages 641–647
DOI: https://doi.org/10.1134/S0965542508040118
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: M. M. Lavrent'ev, V. I. Maksimov, “Reconstruction of the right-hand side of a parabolic equation”, Zh. Vychisl. Mat. Mat. Fiz., 48:4 (2008), 674–680; Comput. Math. Math. Phys., 48:4 (2008), 641–647
Citation in format AMSBIB
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    • 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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