The paper is devoted to the construction and study of a numerical method for solving two-
dimensional Saint–Venant equations. These equations have important applied significance …

In the paper, we propose a systematic approach to design and investigate the adequacy of
the computational models for a mixed dissipative boundary value problem posed for the …

In the paper, we propose a systematic approach to the development and study of the
adequacy of computational models for a mixed dissipative boundary-value problem posed …

In the paper, we consider a mixed problem for a class of systems of linear hyperbolic
balance laws with inhomogeneous coefficients and with dissipative boundary conditions …

The present work is devoted to the numerical calculation of Lyapunov stable solutions to the
linear Saint-Venant equations. Calculations are carried out with the help of an explicit …

The paper investigates the issue of developing a computational algorithm for finding a
numerical solution to the shallow water equation system at a one-dimensional level (the …

In this paper, we have developed numerical calculation of stable solutions for the
quasilinear hyperbolic system of Saint-Venant equations, which describes the motion of …

In this article, the stability of the difference upwind scheme for the numerical calculation of
stable solutions of the mixed dissipative boundary value problem for a linear hyperbolic …

The work is devoted to the study of the stability of the finite difference method for the initial-
boundary value problem for the system of Saint-Venant equations. Easily the verifiable …

In the paper, we investigate the question of obtaining an algebraic condition for the
exponential stability of the numerical solution of the upwind difference scheme for the mixed …