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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2015, Volume 18, Number 2, Pages 107–120
DOI: https://doi.org/10.15372/SJNM20150201 (Mi sjvm570) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Methods of identifying a parameter in the kernel of the first kind equation of the convolution type on the class of functions with discontinuities

T. V. Antonova

Institute of Mathematics and Mechanics Ural Branch of Russian Academy of Scienes, 16 S. Kovalevskaya str., Ekaterinburg, 620990, Russia
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DOI: https://doi.org/10.15372/SJNM20150201
Abstract: In this paper, we propose a regular iterative method of identifying a numerical parameter in the kernel of the integral equation of the first kind of the convolution type. It is shown that an unambiguous identification of the parameter is possible when an exact solution has discontinuities of the first kind. The convergence theorem is proved, and an example of the equation with a parameter, for which the method constructed is applicable, is given.
Key words: ill-posed problems, localization of singularities, equation of the first kind, parameter identification.
Received: 01.04.2014
English version:
Numerical Analysis and Applications, 2015, Volume 8, Issue 2, Pages 89–100
DOI: https://doi.org/10.1134/S1995423915020019
Bibliographic databases:
Document Type: Article
UDC: 517.988.68
Language: Russian
Citation: T. V. Antonova, “Methods of identifying a parameter in the kernel of the first kind equation of the convolution type on the class of functions with discontinuities”, Sib. Zh. Vychisl. Mat., 18:2 (2015), 107–120; Num. Anal. Appl., 8:2 (2015), 89–100
Citation in format AMSBIB
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\paper Methods of identifying a~parameter in the kernel of the first kind equation of the convolution type on the class of functions with discontinuities
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\pages 107--120
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\jour Num. Anal. Appl.
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Sibirskii Zhurnal Vychislitel'noi Matematiki
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