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Sibirskii Zhurnal Vychislitel'noi Matematiki
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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 9 scientific papers (total in 9 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
Full-text PDF (1340 kB) Citations (9)
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DOI: https://doi.org/10.15372/SJNM20180202
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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Linking options:
  • https://www.mathnet.ru/eng/sjvm674
  • https://www.mathnet.ru/eng/sjvm/v21/i2/p139
    • This publication is cited in the following 9 articles:
    1. B.V. Semisalov, S.B. Medvedev, S.V. Nazarenko, M.P. Fedoruk, “Numerical analysis of the kinetic equation describing isotropic 4-wave interactions in non-linear physical systems”, Communications in Nonlinear Science and Numerical Simulation, 133 (2024), 107957  crossref
    2. G. V. Demidenko, Zongshun Wang, “Localization of the matrix spectrum and Lyapunov type equations”, jour, 1:4 (2024), 49  crossref
    3. B. V. Semisalov, S. B. Medvedev, S. V. Nazarenko, M. P. Fedoruk, “Algorithm for Solving the Four-Wave Kinetic Equation in Problems of Wave Turbulence”, Comput. Math. and Math. Phys., 64:2 (2024), 340  crossref
    4. G. V. Demidenko, Z. Wang, “Localization of the Matrix Spectrum and Lyapunov Type Equations”, Lobachevskii J Math, 45:4 (2024), 1808  crossref
    5. E. A. Biberdorf, A. S. Rudometova, Wang Li, A. D. Jumbaev, “A Method for Separating the Matrix Spectrum by a Straight Line and an Infinite Strip Flutter Problem”, Comput. Math. and Math. Phys., 64:8 (2024), 1704  crossref
    6. V. S. Prokhorov, “Location of the spectrum of a matrix in a domain bounded by a parabola”, Siberian Adv. Math., 34:4 (2024), 337–349  mathnet  crossref  crossref
    7. G. V. Demidenko, V. S. Prokhorov, “On location of the matrix spectrum with respect to a parabola”, Siberian Adv. Math., 33:3 (2023), 190–199  mathnet  crossref  crossref  elib
    8. È. A. Biberdorf, “Algorithm for separating matrix spectrum by an angle”, Comput. Math. Math. Phys., 62:5 (2022), 719–732  mathnet  mathnet  crossref  crossref  scopus
    9. Elina A. Biberdorf, Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy, 2020, 37  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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