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Sibirskii Zhurnal Vychislitel'noi Matematiki
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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2008, Volume 11, Number 2, Pages 127–137 (Mi sjvm38)  
Error estimate in the projection-difference method for an abstract quasilinear hyperbolic equation with a non-smooth right-hand side

S. E. Zhelezovsky

Saratov State Socio-Economic University
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Abstract: We analyze the convergence of a three-level scheme of the projection-difference method for an abstract quasilinear hyperbolic equation in a Hilbert space with variable operator coefficients and a non-smooth (only Bochner integrable) right-hand side. We fix an energy error estimate without any special conditions imposed on the projection subspaces.
Key words: abstract hyperbolic equation, projection-difference method, error estimate.
Received: 04.12.2007
English version:
Numerical Analysis and Applications, 2008, Volume 1, Issue 2, Pages 105–113
DOI: https://doi.org/10.1134/S199542390802002X
UDC: 517.988.8
Language: Russian
Citation: S. E. Zhelezovsky, “Error estimate in the projection-difference method for an abstract quasilinear hyperbolic equation with a non-smooth right-hand side”, Sib. Zh. Vychisl. Mat., 11:2 (2008), 127–137; Num. Anal. Appl., 1:2 (2008), 105–113
Citation in format AMSBIB
\Bibitem{Zhe08}
\by S.~E.~Zhelezovsky
\paper Error estimate in the projection-difference method for an abstract quasilinear hyperbolic equation with a~non-smooth right-hand side
\jour Sib. Zh. Vychisl. Mat.
\yr 2008
\vol 11
\issue 2
\pages 127--137
\mathnet{http://mi.mathnet.ru/sjvm38}
\transl
\jour Num. Anal. Appl.
\yr 2008
\vol 1
\issue 2
\pages 105--113
\crossref{https://doi.org/10.1134/S199542390802002X}
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