Difference scheme stability investigation for model of barotropic viscous gas

Abstract

In this paper, the technique of convergence of research and the stability difference schemes for the equations of gas dynamics in the presence of an electric field. The work consists in the strict mathematical definition of the conditions of stability and convergence of difference schemes, which relate to the long posed problems of computational mathematics. The studies enable significant progress in the study of the convergence and stability of difference schemes for gas dynamic tasks. The results of the thesis could be used for a wide class of problems of mathematics and mechanics. In the proof of the stability and convergence of difference schemes used by well-known theorems and inequality. All results are formulated as theorems.