Difference Schemes on Extended Stencils of Unstructured Triangle Grids for Steady State Convection Diffusion Problems with Dominating Convection

The paper deals with difference schemes for 1D convection diffusion problems on five point stencil and 2D problems on extended stencils of unstructured triangle grid. The family of schemes is proposed. The property of numerical solution monotonicity is discussed. It is proved that the discussed difference schemes are of fixed sign.