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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 9, Pages 52–61 (Mi ivm7930)  
This article is cited in 1 scientific paper (total in 1 paper)

The convergence rate of a projection-difference method for an abstract coupled problem

S. E. Zhelezovskii

Chair of Applied Mathematics and Information Science, Saratov State Socioeconomic University, Saratov, Russia
Full-text PDF (201 kB) Citations (1)
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Abstract: We consider the Cauchy problem for a system of abstract differential equations in Hilbert spaces that generalizes some coupled thermoelasticity problems. We obtain a priori energy estimate for the convergence rate of a projection-difference method as applied to the Cauchy problem with an arbitrary choice of projection subspaces.
Keywords: abstract differential equations, projection-difference method, convergence rate, coupled thermoelasticity problems.
Received: 02.07.2010
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 9, Pages 43–51
DOI: https://doi.org/10.3103/S1066369X11090064
Bibliographic databases:
Document Type: Article
UDC: 517.988
Language: Russian
Citation: S. E. Zhelezovskii, “The convergence rate of a projection-difference method for an abstract coupled problem”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 9, 52–61; Russian Math. (Iz. VUZ), 55:9 (2011), 43–51
Citation in format AMSBIB
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\by S.~E.~Zhelezovskii
\paper The convergence rate of a~projection-difference method for an abstract coupled problem
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 9
\pages 52--61
\mathnet{http://mi.mathnet.ru/ivm7930}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2931775}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 9
\pages 43--51
\crossref{https://doi.org/10.3103/S1066369X11090064}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80055087446}
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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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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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