The interior dissipative and dispersion properties of difference schemes for non-linear hyperbolic equations are studied by analyzing the differential approximation. The examples of the quasilinear… Expand

Abstract A family of two-layer completely conservative difference schemes is constructed for the spatially one-dimensional equations of gas dynamics. It is possible to obtain complete… Expand

A class of schemes called completely conservative, which are free from this defect, exist. These schemes satisfy not only the difference analogs of the fundamental laws of the conservation of mass,… Expand