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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 4, Pages 569–584
DOI: https://doi.org/10.7868/S0044466914040085 (Mi zvmmf10017) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Difference schemes for solving the Cauchy problem for a second-order operator differential equation

M. M. Kokurin

Mari State University, pl. Lenina 1, Yoshkar-Ola, 424000, Russia
Full-text PDF (290 kB) Citations (3)
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DOI: https://doi.org/10.7868/S0044466914040085
Abstract: A class of finite-difference schemes for solving an ill-posed Cauchy problem for a second-order linear differential equation with a sectorial operator in a Banach space is studied. Time-uniform estimates of the convergence rate and the error of such schemes are obtained. Previously known estimates are improved due to an optimal choice of initial data for a difference scheme.
Key words: ill-posed problem, operator differential equation, Banach space, Cauchy problem, difference scheme, convergence rate, error estimate, regularizing algorithm, operator calculus.
Received: 03.04.2013
Revised: 24.09.2013
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 4, Pages 569–584
DOI: https://doi.org/10.1134/S0965542514040083
Bibliographic databases:
Document Type: Article
UDC: 519.642.8
Language: Russian
Citation: M. M. Kokurin, “Difference schemes for solving the Cauchy problem for a second-order operator differential equation”, Zh. Vychisl. Mat. Mat. Fiz., 54:4 (2014), 569–584; Comput. Math. Math. Phys., 54:4 (2014), 569–584
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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