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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 1, Pages 3–17 (Mi zvmmf191)  
This article is cited in 4 scientific papers (total in 4 papers)

Application of half-derivatives in numerical analysis

S. E. Miheev

St. Petersburg State University, Universitetskii pr. 35, St. Petersburg, 198504, Russia
Full-text PDF (2048 kB) Citations (4)
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Abstract: Generalized concepts of the Lipschitz constant and the divided difference are used to develop a technique for analyzing numerical methods. Based on the technique, new results are obtained concerning error estimation for a nonlinear equation in a Banach space.
Key words: half-derivative, iteration, iterative process, estimate, convergence analysis, nonlinear equation.
Received: 27.09.2006
Revised: 09.06.2007
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 1, Pages 1–15
DOI: https://doi.org/10.1007/s11470-008-1001-y
Bibliographic databases:
Document Type: Article
UDC: 519.651
Language: Russian
Citation: S. E. Miheev, “Application of half-derivatives in numerical analysis”, Zh. Vychisl. Mat. Mat. Fiz., 48:1 (2008), 3–17; Comput. Math. Math. Phys., 48:1 (2008), 1–15
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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