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Matematicheskie Zametki, 2005, Volume 78, Issue 6, Pages 907–918
DOI: https://doi.org/10.4213/mzm2662
(Mi mzm2662)
 

This article is cited in 1 scientific paper (total in 1 paper)

On the Rate of Convergence of Projection-Difference Methods for Smoothly Solvable Parabolic Equations

V. V. Smagin

Voronezh State University
Full-text PDF (192 kB) Citations (1)
References:
Abstract: A linear parabolic problem in a separable Hilbert space is solved approximately by the projection-difference method. The problem is discretized in space by the Galerkin method orientated towards finite-dimensional subspaces of finite-element type and in time by using the implicit Euler method and the modified Crank–Nicolson scheme. We establish uniform (with respect to the time grid) and mean-square (in space) error estimates for the approximate solutions. These estimates characterize the rate of convergence of errors to zero with respect to both the time and space variables.
Received: 20.02.2004
English version:
Mathematical Notes, 2005, Volume 78, Issue 6, Pages 841–852
DOI: https://doi.org/10.1007/s11006-005-0189-6
Bibliographic databases:
UDC: 517.988.8
Language: Russian
Citation: V. V. Smagin, “On the Rate of Convergence of Projection-Difference Methods for Smoothly Solvable Parabolic Equations”, Mat. Zametki, 78:6 (2005), 907–918; Math. Notes, 78:6 (2005), 841–852
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm2662
  • https://doi.org/10.4213/mzm2662
  • https://www.mathnet.ru/eng/mzm/v78/i6/p907
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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    Abstract page:443
    Full-text PDF :222
    References:79
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