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Matematicheskie Zametki, 2007, Volume 81, Issue 6, Pages 803–815
DOI: https://doi.org/10.4213/mzm3743 (Mi mzm3743) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Optimal Reconstruction of the Solution of the Wave Equation from Inaccurate Initial Data

N. D. Vysk, K. Yu. Osipenko

Moscow State Aviation Technological University
Full-text PDF (441 kB) Citations (13)
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DOI: https://doi.org/10.4213/mzm3743
Abstract: In the present paper, we consider the problem of the optimal reconstruction of the solution of the wave equation from the approximate values of the Fourier coefficients of the function specifying the initial form of the string. For an operator defined on the weight space of vectors from $l_2$, we present the solution of the more general problem of reconstruction from the approximate values of the coordinates of these vectors.
Keywords: wave equation, reconstruction problem, information operator, Fourier coefficient, Lagrange function, Lagrange multipliers, the space $l_2$.
Received: 09.02.2006
English version:
Mathematical Notes, 2007, Volume 81, Issue 6, Pages 723–733
DOI: https://doi.org/10.1134/S0001434607050203
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: N. D. Vysk, K. Yu. Osipenko, “Optimal Reconstruction of the Solution of the Wave Equation from Inaccurate Initial Data”, Mat. Zametki, 81:6 (2007), 803–815; Math. Notes, 81:6 (2007), 723–733
Citation in format AMSBIB
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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