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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2018, Volume 21, Number 2, Pages 139–154
DOI: https://doi.org/10.15372/SJNM20180202
(Mi sjvm674)
 

This article is cited in 7 scientific papers (total in 7 papers)

Modifications of the dichotomy method of a matrix spectrum and their application tostability tasks

E. A. Biberdorfab, M. A. Blinovab, N. I. Popovac

a Sobolev Institute of Mathematics SB RAS, 4 Acad. Koptyug av., Novosibirsk, 630090, Russia
b Novosibirsk State University, 2 Pirogova str., Novosibirsk, 630090, Russia
c Budker Institute of Nuclear Physics SB RAS, 11 Lavrentiev av., Novosibirsk, 630090, Russia
References:
Abstract: The paper deals with development of spectrum dichotomy methods for the matrices with a large norm. Such matrices appear as a result of discretization of differential operators. The results of some numerical experiments including the stability investigation for the Poiseuille plane-parallel stream are given.
Key words: spectrum dichotomy, projector, stability, plane-parallel stream.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00791
Received: 02.07.2017
Revised: 13.11.2017
English version:
Numerical Analysis and Applications, 2018, Volume 11, Issue 2, Pages 108–120
DOI: https://doi.org/10.1134/S1995423918020027
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: E. A. Biberdorf, M. A. Blinova, N. I. Popova, “Modifications of the dichotomy method of a matrix spectrum and their application tostability tasks”, Sib. Zh. Vychisl. Mat., 21:2 (2018), 139–154; Num. Anal. Appl., 11:2 (2018), 108–120
Citation in format AMSBIB
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  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Sibirskii Zhurnal Vychislitel'noi Matematiki
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