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Zapiski Nauchnykh Seminarov POMI, 2016, Volume 451, Pages 43–53 (Mi znsl6345)  
This article is cited in 2 scientific papers (total in 2 papers)

Regularization of an ill-posed Cauchy problem for the wave equation (numerical experiment)

M. N. Demchenkoa, N. V. Filimonenkovab

a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
b Peter the Great St. Petersburg Polytechnic University, St. Petersburg, Russia
Full-text PDF (268 kB) Citations (2)
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Abstract: We discuss the results of numerical experiment of solving an ill-posed Cauchy problem for the wave equation. We give the instrumental function for the regularizing algorithm applied here and carry out the analysis of stability.
Key words and phrases: ill-posed Cauchy problem, wave equation, regularizing algorithm.
Funding agency Grant number
Russian Foundation for Basic Research 15-31-20600-мол-а-вед
14-01-00535-а
Received: 31.10.2016
English version:
Journal of Mathematical Sciences (New York), 2017, Volume 226, Issue 6, Pages 720–726
DOI: https://doi.org/10.1007/s10958-017-3561-7
Bibliographic databases:
Document Type: Article
UDC: 517.951
Language: Russian
Citation: M. N. Demchenko, N. V. Filimonenkova, “Regularization of an ill-posed Cauchy problem for the wave equation (numerical experiment)”, Mathematical problems in the theory of wave propagation. Part 46, Zap. Nauchn. Sem. POMI, 451, POMI, St. Petersburg, 2016, 43–53; J. Math. Sci. (N. Y.), 226:6 (2017), 720–726
Citation in format AMSBIB
\Bibitem{DemFil16}
\by M.~N.~Demchenko, N.~V.~Filimonenkova
\paper Regularization of an ill-posed Cauchy problem for the wave equation (numerical experiment)
\inbook Mathematical problems in the theory of wave propagation. Part~46
\serial Zap. Nauchn. Sem. POMI
\yr 2016
\vol 451
\pages 43--53
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6345}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3589166}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2017
\vol 226
\issue 6
\pages 720--726
\crossref{https://doi.org/10.1007/s10958-017-3561-7}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85031505928}
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  • https://www.mathnet.ru/eng/znsl/v451/p43
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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