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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2012, Volume 18, Number 1, Pages 96–108 (Mi timm782)  
This article is cited in 11 scientific papers (total in 11 papers)

On a complete discretization scheme for an ill-posed Cauchy problem in a Banach space

A. B. Bakushinskiia, M. M. Kokurinb, M. Yu. Kokurinb

a Institute of Systems Analysis, Russian Academy of Sciences
b Mari State University
Full-text PDF (208 kB) Citations (11)
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Abstract: A complete discretization scheme for an ill-posed Cauchy problem for abstract first-order linear differential equations with sectorial operators in a Banach space is validated. The scheme combines the time semidiscretization of the equations and a finite-dimensional approximation of the spaces and operators. Regularization properties of the scheme are established. Error estimates are obtained in the case of approximate initial data under various a priori assumptions concerning the solution.
Keywords: Cauchy problem, ill-posed problem, discretization, regularization, error estimate.
Received: 26.05.2011
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2013, Volume 280, Issue 1, Pages 53–65
DOI: https://doi.org/10.1134/S0081543813020053
Bibliographic databases:
Document Type: Article
UDC: 517.988
Language: Russian
Citation: A. B. Bakushinskii, M. M. Kokurin, M. Yu. Kokurin, “On a complete discretization scheme for an ill-posed Cauchy problem in a Banach space”, Trudy Inst. Mat. i Mekh. UrO RAN, 18, no. 1, 2012, 96–108; Proc. Steklov Inst. Math. (Suppl.), 280, suppl. 1 (2013), 53–65
Citation in format AMSBIB
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\paper On a~complete discretization scheme for an ill-posed Cauchy problem in a~Banach space
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\pages 96--108
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\jour Proc. Steklov Inst. Math. (Suppl.)
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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