Geodesic
Modifications of the dichotomy method of a~matrix spectrum and their application tostability tasks
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 21 (2018) no. 2, pp. 139-154

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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. 
@article{SJVM_2018_21_2_a1,
     author = {E. A. Biberdorf and M. A. Blinova and N. I. Popova},
     title = {Modifications of the dichotomy method of a~matrix spectrum and their application tostability tasks},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {139--154},
     publisher = {mathdoc},
     volume = {21},
     number = {2},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2018_21_2_a1/}
}
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E. A. Biberdorf; M. A. Blinova; N. I. Popova. Modifications of the dichotomy method of a~matrix spectrum and their application tostability tasks. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 21 (2018) no. 2, pp. 139-154. http://geodesic.mathdoc.fr/item/SJVM_2018_21_2_a1/