Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2018, Number 1, Pages 26–32 (Mi vmumm6)  
This article is cited in 4 scientific papers (total in 4 papers)

Mathematics

Acceleration of transition to stationary state for solutions to a linearized viscous gas dynamics system. I

K. A. Zhukova, A. A. Kornevb, A. V. Popovb

a Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
b Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: For a linearized system of differential equations that approximately describes the dynamics of a viscous gas the problem of constructing for the given initial data the control boundary conditions of the first kind that accelerate the process of reaching the steady state solution is studied. The article provides a description of the algorithm and the estimate of rate of convergence in the differential case.
Key words: numerical stabilization on the boundary, equations of dynamics of viscous one-dimensional gas.
Funding agency Grant number
Russian Foundation for Basic Research 12-01-00960
Received: 27.06.2017
English version:
Moscow University Mathematics Bulletin, 2018, Volume 73, Issue 1, Pages 24–29
DOI: https://doi.org/10.3103/S0027132218010047
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: K. A. Zhukov, A. A. Kornev, A. V. Popov, “Acceleration of transition to stationary state for solutions to a linearized viscous gas dynamics system. I”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2018, no. 1, 26–32; Moscow University Mathematics Bulletin, 73:1 (2018), 24–29
Citation in format AMSBIB
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