Chernigovski S. V.
The stability of a wide class of two-layer operator-difference schemes with non-selfadjoint operators is investigated. The conditions and a priori estimate for stability with respect to both initial data and right-hand side of the scheme are derived. The results may be applied in particular to the investigation of the stability of difference schemes arising in gas dynamics problems including the effect of viscosity, heat conductivity and the terms containing higher order differential operators. The stability conditions and a priori estimate for these schemes in linear approximation are obtained.
Institutul de Matematică Academia de Ştiinţe a Moldovei
str. Academiei 5, MD-2028 Chişinău, Moldova