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This article is cited in 8 scientific papers (total in 8 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
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.
Received: 02.07.2017 Revised: 13.11.2017
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
Linking options:
https://www.mathnet.ru/eng/sjvm674 https://www.mathnet.ru/eng/sjvm/v21/i2/p139
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