Modifications of the dichotomy method of a matrix spectrum and their application tostability tasks
E.A. Biberdorf1,2, M.A. Blinova2, N.I. Popova3
1Sobolev Institute of Mathematics SB RAS, 4 Acad. Koptyug avenue, Novosibirsk, Russia, 630090
2Novosibirsk State University, Pirogova str., 2, Novosibirsk, 630090, Russia
3Budker Institute of Nuclear Physics of SB RAS, Acad. Lavrentieva Pr., 11, Novosibirsk, 630090
Keywords: дихотомия спектра, проектор, устойчивость, плоско-параллельное течение, spectrum dichotomy, projector, stability, plane-parallel stream
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.
|
