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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2012, Volume 52, Number 3, Pages 483–498 (Mi zvmmf9672)  
This article is cited in 9 scientific papers (total in 9 papers)

On a class of finite-difference schemes for solving ill-posed Cauchy problems in Banach spaces

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

a Institute of System Analysis, Russian Academy of Sciences, pr. 60-letiya Oktyabrya 9, Moscow, 117312 Russia
b Mari State University, pl. Lenina 1, Yoshkar-Ola, 424001 Russia
Full-text PDF (1131 kB) Citations (9)
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Abstract: A class of finite-difference schemes for solving ill-posed Cauchy problems for first-order linear differential equations with sectorial operators in Banach spaces is examined. Under various assumptions concerning the desired solution, time-uniform accuracy and error characteristics are obtained that refine and improve known estimates for these schemes. Some numerical results are presented.
Key words: ill-posed problem, differential equation, Banach space, finite-difference scheme, convergence rate, error, regularizing operator.
Received: 23.12.2010
Revised: 01.03.2011
English version:
Computational Mathematics and Mathematical Physics, 2012, Volume 52, Issue 3, Pages 411–426
DOI: https://doi.org/10.1134/S0965542512030049
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: A. B. Bakushinskii, M. M. Kokurin, M. Yu. Kokurin, “On a class of finite-difference schemes for solving ill-posed Cauchy problems in Banach spaces”, Zh. Vychisl. Mat. Mat. Fiz., 52:3 (2012), 483–498; Comput. Math. Math. Phys., 52:3 (2012), 411–426
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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