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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 9, Pages 1643–1651 (Mi zvmmf4756)  
This article is cited in 12 scientific papers (total in 12 papers)

Error estimates for the Galerkin method as applied to time-dependent equations

P. V. Vinogradova, A. G. Zarubin

Far Eastern State Transport University, ul. Serysheva 47, Khabarovsk, 680021, Russia
Full-text PDF (948 kB) Citations (12)
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Abstract: A projection method is studied as applied to the Cauchy problem for an operator-differential equation with a non-self-adjoint operator. The operator is assumed to be sufficiently smooth. The linear spans of eigenelements of a self-adjoint operator are used as projection subspaces. New asymptotic estimates for the convergence rate of approximate solutions and their derivatives are obtained. The method is applied to initial-boundary value problems for parabolic equations.
Key words: Galerkin method, operator equation, Hilbert space, Cauchy problem, convergence rate, orthoprojector, parabolic equations.
Received: 06.10.2008
Revised: 12.01.2009
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 9, Pages 1567–1575
DOI: https://doi.org/10.1134/S0965542509090115
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: P. V. Vinogradova, A. G. Zarubin, “Error estimates for the Galerkin method as applied to time-dependent equations”, Zh. Vychisl. Mat. Mat. Fiz., 49:9 (2009), 1643–1651; Comput. Math. Math. Phys., 49:9 (2009), 1567–1575
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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