Scientific-research themes of chair are stipulated by its title, which supposes mathematical and program supplement of modern computer systems. 

The main trends are:

• Department of methods of computational mathematics and mathematical modeling. 
• Creation and investigation of numerical algorithm for ordinary and partial differential and integral equations. 
• Creation of corresponding software. 
• Computational techniques for one and two-dimensional equations of gas and hydro dynamics.
• Applications of these techniques to solve concrete problems. 
• An optimum control problems for systems of differential equations of elliptic type with nonlocal boundary conditions. 
• Creation of variant of strategic and cooperative games theory and applications to modeling of social-economic problems. 
• Construction and investigation of two-dimentional mathematical models for thermo-elasto-plastic rods, plates and shells. 
• Investigation and visualization of structures and characteristics of algorithms and programs.   
• Optimization of applications for parallel computational systems anddeveloping effective programs.  
• Development of different kinds of Database Management Systems and Expert Systems
• Design of systems of Information transmission and protection. 
• Web Programming  Developing software for micro processing systems  
• Conceptual Analysis and design of  complex systems.   
• Teaching Mathematics with computer using DERIVE v A Mathematical   Assistant for Personal Computer.  
• Development of methods of computing mathematics and mathematical modeling.
• Creation and investigation of numerical algorithms for ordinary and partial differential and integral equations.  
• Computational techniques for one and two-dimensional equations of gas and hydro dynamics. 
• Applications of these techniques to solve concrete problems.  
• An optimum control problems for systems of differential equations of elliptic type with non-local boundary conditions. 
• Creation of variant of strategic and cooperative games theory and applications of modeling social-economic problems.  
• Construction and investigation of two-dimensional mathematical models for thermo-elasto-plastic rods, plates and shells.  
• Creation of mathematical theory of deformations for elastic anisotropic thermodynamic piezoelastic plates, beams and shells with variable thickness.

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