Acceleration of the Process of Entering Stationary Mode for Solutions of a Linearized System of Viscous Gas Dynamics. I / *K. A. Zhukov, A. A. Kornev, and A. V. Popov.* // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2018. № 1. P. 26-32
[Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 24-29].

The problem of construction of control Dirichlet boundary conditions accelerating the convergence of the corresponding solution to its steady state for given initial conditions is studied for the linearized system of differential equations approximately describing the dynamics of viscous gas. The algorithm is described and estimates of convergence rate are presented for the differential case.

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