Условия диссипативности и М-матричности разностного оператора конвекции-диффузии с граничными условиями третьего рода

Positiveness of the real part and M-matrix property conditions for the convection -diffusion difference operator with boundary conditions of the third type are obtained. Positiveness of the real part and M-matrix properties depend on the central or upwind approximation of the convective terms and on the specific representation of these terms in the symmetric or nondivergent form.