The different methods of solution of problems of mathematical physics.
Problems of the control theory for DE of elliptic type with non-local boundary conditions.
The parallel iteration methods of solution of linear and nonlinear systems of algebraic equations for computers with multiprocessors
The mathematical models for problems of gas and hydro dynamics. The investigation of difference schemes for one and multi dimensional problems of gas and hydro dynamics.
The economical (optimal) difference schemes for multidimensional problems of mathematical physics.