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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 11, Pages 1915–1922 (Mi zvmmf375)  
Constructing regularization methods in the spaces of differentiable functions

G. V. Khromova, E. V. Shishkova

Saratov State University, ul. Astrakhanskaya 83, Saratov, 410026, Russia
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Abstract: The method of finding approximations to a solution and its derivatives is constructed for a certain class of integral Volterra equations of the first kind. Matching conditions for the regularization parameter and the error in the initial data are presented. Sharp (in terms of order) error estimates are obtained for approximate solutions on certain compact classes.
Key words: regularization methods in the spaces of differentiable functions, integral Volterra equations of the first kind, regularization method for the Volterra equation, error estimation.
Received: 02.05.2006
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 11, Pages 1827–1834
DOI: https://doi.org/10.1134/S0965542506110017
Bibliographic databases:
Document Type: Article
UDC: 519.642.8
Language: Russian
Citation: G. V. Khromova, E. V. Shishkova, “Constructing regularization methods in the spaces of differentiable functions”, Zh. Vychisl. Mat. Mat. Fiz., 46:11 (2006), 1915–1922; Comput. Math. Math. Phys., 46:11 (2006), 1827–1834
Citation in format AMSBIB
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\jour Zh. Vychisl. Mat. Mat. Fiz.
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\pages 1915--1922
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\transl
\jour Comput. Math. Math. Phys.
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\pages 1827--1834
\crossref{https://doi.org/10.1134/S0965542506110017}
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