This paper presents the numerical-visual approach to hybrid finite-difference schemes design, optimization and verification. The proposed approach is based on multiple inverse problems solution and simultaneous construction of limitation surfaces for weight parameters of hybrid finite-difference scheme. Further analysis and transformation of these surfaces allow fast and effective optimization of hybrid finite-difference schemes properties. The way of practical application for this approach is shown for the supersonic wake flow problem. The results of computations are considered.

Mathematical problems and theory of numerical methods