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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2005, Volume 45, Number 2, Pages 204–211 (Mi zvmmf697)  

This article is cited in 2 scientific papers (total in 2 papers)

A note on the convergence of nonstationary finite-difference analogues

V. Hristova, A. I. Ilievb, N. V. Kyurkchieva

a 1113 Bulgaria, Sofia, Acad. G. Bonchev Str., bl. 8, Institute of Mathematics and Informatics, Bulgarian Academy of Science
b 4000 Bulgaria, Plovdiv, 24 Tsar Assen Str., University of Plovdiv, Faculty of Mathematics and Informatics
Full-text PDF (666 kB) Citations (2)
References:
Abstract: An efficient modification of a finite-difference analogue of Halley's method is proposed. An iterative procedure ensures that the approximations converge to the desired root of the nonlinear equation $f(x)=0$.
Key words: numerical solution of nonlinear equations, iterative convergence method.
Received: 26.02.2004
Revised: 04.08.2004
Bibliographic databases:
Document Type: Article
UDC: 519.615.5
Language: English
Citation: V. Hristov, A. I. Iliev, N. V. Kyurkchiev, “A note on the convergence of nonstationary finite-difference analogues”, Zh. Vychisl. Mat. Mat. Fiz., 45:2 (2005), 204–211; Comput. Math. Math. Phys., 45:2 (2005), 194–201
Citation in format AMSBIB
\Bibitem{KhrIliKyu05}
\by V.~Hristov, A.~I.~Iliev, N.~V.~Kyurkchiev
\paper A note on the convergence of nonstationary finite-difference analogues
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2005
\vol 45
\issue 2
\pages 204--211
\mathnet{http://mi.mathnet.ru/zvmmf697}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2158663}
\zmath{https://zbmath.org/?q=an:1102.26003}
\transl
\jour Comput. Math. Math. Phys.
\yr 2005
\vol 45
\issue 2
\pages 194--201
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  • https://www.mathnet.ru/eng/zvmmf697
  • https://www.mathnet.ru/eng/zvmmf/v45/i2/p204
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Abstract page:211
    Full-text PDF :89
    References:36
    First page:1
     
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