Acceleration of the Process of Entering Stationary Mode for Solutions of a Linearized System of Viscous Gas Dynamics. II / *K. A. Zhukov, A. A. Kornev, and A. V. Popov.* // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2018. № 3. P. 3-8
[Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 85-89].

For finite-difference approximation of the linearized system of differential equations of viscous gas dynamics, the governing Dirichlet boundary conditions are constructed to guarantee the acceleration of the process of reaching the steady state solution. Necessary estimates are presented for the rate of convergence in the case of zero boundary conditions as well as the calculation results for stabilization in the case of initial conditions with jumps of pressure and/or density.

*Key words*:
numerical stabilization on the boundary, equations of dynamics of viscous one-dimensional gas.