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Matematicheskie Zametki, 2006, Volume 80, Issue 1, Pages 38–49
DOI: https://doi.org/10.4213/mzm2778 (Mi mzm2778) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Error Estimates for Schemes of the Projection-Difference Method for Abstract Quasilinear Hyperbolic Equations

S. E. Zhelezovsky

Saratov State Socio-Economic University
Full-text PDF (509 kB) Citations (2) English version article
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DOI: https://doi.org/10.4213/mzm2778
Abstract: We study the convergence of the three-layer scheme of the projection-difference method for abstract quasilinear hyperbolic equations in Hilbert space. We establish asymptotic energy error estimates for an arbitrary choice of finite-dimensional subspaces in which the approximation problems are solved.
Keywords: projection-difference method, three-layer scheme, quasilinear hyperbolic equations, asymptotic error estimates, energy norm, uniform norm.
Received: 25.11.2002
English version:
Mathematical Notes, 2006, Volume 80, Issue 1, Pages 36–46
DOI: https://doi.org/10.1007/s11006-006-0106-7
Bibliographic databases:
UDC: 517.988.8
Language: Russian
Citation: S. E. Zhelezovsky, “Error Estimates for Schemes of the Projection-Difference Method for Abstract Quasilinear Hyperbolic Equations”, Mat. Zametki, 80:1 (2006), 38–49; Math. Notes, 80:1 (2006), 36–46
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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