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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 3, Pages 72–76 (Mi ivm8882)  
This article is cited in 1 scientific paper (total in 1 paper)

Brief communications

Localization of discontinuities of the first kind methods for the solution of a convolution-type equation

D. V. Kurlikovskii

Chair of Computational Mathematics, Institute of Mathematics and Computer Sciences, Ural Federal University named after the first President of Russia B. N. Yeltsin, 4 Turgeneva str., Ekaterinburg, 620075 Russia
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Abstract: We consider a convolution-type equation of the first kind from $L_1$ to $L_1$. We construct and investigate regularizing methods for localization (detection of positions) of discontinuities of the first kind of solution to this equation. Under additional conditions of exact solution, we obtain estimates for the accuracy of localization and for the separability threshold, which are another important characteristics of the methods.
Keywords: ill-posed problem, localization of singularities, regularizing method, separation threshold.
Presented by the member of Editorial Board: V. V. Vasin
Received: 18.09.2013
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, Volume 58, Issue 3, Pages 60–63
DOI: https://doi.org/10.3103/S1066369X14030074
Bibliographic databases:
Document Type: Article
UDC: 517.988
Language: Russian
Citation: D. V. Kurlikovskii, “Localization of discontinuities of the first kind methods for the solution of a convolution-type equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 3, 72–76; Russian Math. (Iz. VUZ), 58:3 (2014), 60–63
Citation in format AMSBIB
\Bibitem{Kur14}
\by D.~V.~Kurlikovskii
\paper Localization of discontinuities of the first kind methods for the solution of a~convolution-type equation
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2014
\issue 3
\pages 72--76
\mathnet{http://mi.mathnet.ru/ivm8882}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2014
\vol 58
\issue 3
\pages 60--63
\crossref{https://doi.org/10.3103/S1066369X14030074}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84898943473}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Full-text PDF :63
    References:78
    First page:53
     
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