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., 2018, Volume 21, Number 2,Pages <nobr>139

This article is cited in 6 papers

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

E. A. Biberdorf^ab, M. A. Blinova^b, N. I. Popova^c

^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.

UDC: 519.6

Received: 02.07.2017
Revised: 13.11.2017

DOI: 10.15372/SJNM20180202