Convergence acceleration of triangular iterative methods based on the skew-symmetric part of the matrix (Q1294598)

The paper investigates iterative methods for solving a two-dimensional convection-diffusion model problem in a unit square with a small parameter at the higher derivatives. In the case of central difference approximation of the convective terms, a system of linear algebraic equations with a non-symmetric matrix is obtained. By using only the triangular parts of the skew-symmetric component of the matrix, triangular and product triangular iterative methods are proposed to solve the problem. The influence of a regularizator on the rate of convergence of methods is studied by numerical experiments.