VIAM was founded in 1968 with the following
                main scientific directions: 
            
            
                - 
                    
                        
                            Shell theory 
                            (Head first V. Zhgenti then 
                        
                            T. Meunargia) 
- 
                    
                        
                            Mathematical physics (Head first L. Magnaradze then I. 
                            Tavkhelidze) 
- 
                    
                        
                            Mechanics of continua (Head T. Gegelia) 
- 
                    
                        
                            Differential equations 
                            and optimal control (Head first G. Kharatishvili then 
                        
                            T. Tadumadze) 
- 
                    
                        
                            Mathematical logic and theory of algorithms (Head first Sh. 
                            Pkhakadze then Kh. Rukhaia) 
- 
                    
                        
                            Probability theory and mathematical statistics (Head E. Nadaraia) 
- 
                    
                        Problems 
                            of physics and engineering (Head A. Khvoles) 
- 
                    
                        
                            Mathematical and cybernetic problems of economics (Head first 
                            A. Toronjadze then R. Chitashvili) 
- 
                    
                        
                            Numerical methods and programming (Head Sh. Nikolaishvili) 
- 
                    
                        
                            Computers (Head N. Svanidze) 
- 
                    
                        
                            Differential and integral equations of mathematical physics 
                            (Head L. Magnaradze) 
- 
                    
                        
                            Numerical methods (Head first D. Gordeziani then R. 
                            Botchorishvili) 
- 
                    
                        Ordinary 
                            differential equations (Head I. Kiguradze) 
- 
                    
                        
                            Projective methods (Head T. Vashakmadze) 
- 
                    
                        Theory 
                            of elasticity (Head M. Basheleishvili) 
- 
                    
                        Complex 
                            analysis and its applications (Head first G. Manjavidze then
                        N. Avazashvili) 
- 
                    
                        Applied 
                            mechanics (Head R. Sajaia) 
- 
                    
                        Transfer 
                            theory (Head Sh. Nikolaishvili) 
- 
                    
                        Applied 
                            works (Head G. 
                        Sharashidze) 
- 
                    
                        Partial 
                            differential equations (Head A. Bitsadze) 
- 
                    
                        
                            Hydrodynamics (Head first R. Devdariani then G. Devdariani) 
- 
                    
                        
                            Mathematical programming and control systems (Head K. 
                            Tsiskaridze) 
- 
                    
                        
                            Functional analysis and their applications (Head Z. Chanturia) 
- 
                    
                        Discrete 
                            mathematics (Head A. Kharazishvili) 
- 
                    
                        
                            Scientific-technical Information (Head K. Zhvania) 
- 
                    
                        System 
                            Programming (Head J. Antidze) 
- 
                    
                        
                            Computing of Economical information (Head M. Jibuti) 
- 
                    
                        Software 
                            (Head first A. Kvitashvili then A. Tsiskaridze) 
- 
                    
                        
                            Electronic modeling (Head G. Varazi) 
- 
                    
                        
                            Modernization of computers (Head R. Berulava) 
- 
                    
                        External 
                            devices of computers (Head S. Kipshidze) 
- 
                    
                        Computer 
                            BESM-4 (Head first N. Svanidze then Z. Didishvili) 
- 
                    
                        Computer 
                            M-220 (Head first O. Chkhaidze then K. Samsonia) 
- 
                    
                        Computer 
                            BESM-6 (Head first N. Svanidze then O. Chigvinadze) 
- 
                    
                        Computer 
                            ES-1020 (Head first N. Svanidze then A. Katamadze) 
- 
                    
                        Computer 
                            BESM-6/7 (Head first O. Chkhaidze then J. Ukleba) 
- 
                    
                        Computer 
                            ES-1033 (Head first K. Samsonia then A. Katamadze then J. Gabrashvili) 
- 
                    
                        Computer 
                            ES-1061 (Head J. Kelbakiani) 
- 
                    
                        
                            Computing of Economical information (Head M. Jibuti) 
The institute has been reorganized in
                December 2006.