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Sibirskii Zhurnal Vychislitel'noi Matematiki
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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2010, Volume 13, Number 3, Pages 269–284 (Mi sjvm282)  
This article is cited in 1 scientific paper (total in 1 paper)

Error estimates in the projection-difference method for a hyperbolic-parabolic system of abstract differential equations

S. E. Zhelezovskii

Saratov State Socio-Economic University, Saratov
Full-text PDF (262 kB) Citations (1)
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Abstract: The Cauchy problem for a hyperbolic-parabolic system of abstract differential equations in a Hilbert space is considered that generalizes a number of linear coupled thermoelasticity problems. The energy error estimates for the projection-difference method as applied to the Cauchy problem are established without imposing any special conditions on the projection subspaces.
Key words: projection-difference method, error estimates, abstract differential equations, hyperbolic-parabolic system, coupled thermoelasticity problems.
Received: 27.10.2009
English version:
Numerical Analysis and Applications, 2010, Volume 3, Issue 3, Pages 218–230
DOI: https://doi.org/10.1134/S1995423910030031
Bibliographic databases:
Document Type: Article
UDC: 517.988.8+519.633.8
Language: Russian
Citation: S. E. Zhelezovskii, “Error estimates in the projection-difference method for a hyperbolic-parabolic system of abstract differential equations”, Sib. Zh. Vychisl. Mat., 13:3 (2010), 269–284; Num. Anal. Appl., 3:3 (2010), 218–230
Citation in format AMSBIB
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\paper Error estimates in the projection-difference method for a~hyperbolic-parabolic system of abstract differential equations
\jour Sib. Zh. Vychisl. Mat.
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\vol 13
\issue 3
\pages 269--284
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\elib{https://elibrary.ru/item.asp?id=15142637}
\transl
\jour Num. Anal. Appl.
\yr 2010
\vol 3
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\pages 218--230
\crossref{https://doi.org/10.1134/S1995423910030031}
\elib{https://elibrary.ru/item.asp?id=15316577}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77956124662}
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  • https://www.mathnet.ru/eng/sjvm/v13/i3/p269
    • This publication is cited in the following 1 articles:
    1. S. E. Zhelezovskii, “Stability of a three-layer operator-difference scheme for coupled thermoelasticity problems”, Num. Anal. Appl., 4:4 (2011), 281–293  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Sibirskii Zhurnal Vychislitel'noi Matematiki
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    References:74
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