Numercial solution of boundary-valtue problems for second-order elliptic equations with mixed derivatives by effective iteration methods

The paper considers the numerical solution of boundary-value problems for second-order elliptic equations with mixed derivatives occurring, in particular, in the mathematical simulation of physical processes in the anisotropic medium. The spectral properties of matrices obtained from a center-difference approximation of the problem are investigated. For an approximated solution of the system of linear algebraic equations, a new two-step skew-symmetric iteration method is used.