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, Number 1,Pages <nobr>26

This article is cited in 4 papers

Mathematics

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

K. A. Zhukov^a, A. A. Kornev^b, A. V. Popov^b

^a Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
^b Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

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.

UDC: 519.6

Received: 27.06.2017