Abstract
This paper deals with the development of spectrumdichotomy methods for matrices with large norms. Such matrices often result from discretizations of differential operators. The results of some numerical experiments, including an investigation of the stability of plane-parallel Poiseuille flow, are given.
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Acknowledgments
This work was supported by the Russian Foundation for Basic Research, project no. 17-01-00791. The authors would like to thank Academician S.K. Godunov for comprehensive discussions on the subject of this work and A.N. Kudryavtsev for the formulation and discussions of the problem of stability of plane-parallel flow.
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Original Russian Text © E.A. Biberdorf, M.A. Blinova, N.I. Popova, 2018, published in Sibirskii Zhurnal Vychislitel’noi Matematiki, 2018, Vol. 21, No. 2, pp. 139–154.
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Biberdorf, E.A., Blinova, M.A. & Popova, N.I. Some Modifications of the Method of Matrix Spectrum Dichotomy and Their Applications to Stability Problems. Numer. Analys. Appl. 11, 108–120 (2018). https://doi.org/10.1134/S1995423918020027
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DOI: https://doi.org/10.1134/S1995423918020027