LIST OF PROJECTS BY PFI for 2009-2011

Program: Current problems in mathematics, physics, mechanics and computer science

Direction 1.5 Qualitative analysis of differential equations and methods of solving mathematical physics problems
1. The study of mathematical models of filtration theory  taking into account mass transfer processes and their computational algorithms                                                                          Mukhambetzhanov S.T.

Direction 1.6 Research of algorithmic and structural questions of mathematical logic and algebra 

2. Computability in Hierarchies                                                                                         Badayev S.A.

Direction 1.7 Research and development models, methods and algorithms to create intelligent and secure information technologies

3. Development of problems of pattern recognition, prediction and control in complex intelligent robotics systems                                                                                                  Sholanov K.S., Nurtazin A.T.

Direction 1.10 To study problems of computational mathematics and mathematical modeling of physical processes

4. Development of numerical methods for kinematics and kinetostatika motion control of parallel manipulator with cylindrical kinematic pairs                                                                        Sakabekov A.
5. Determination of the physical characteristics of a multilayer soil in the process of freezing with the data on the land surface physics and linearization of infinite-dimensional spaces.         Rysbayuly B.                     

                                                                                                                                
6. Numerical simulation of hydrodynamics and ecology problems in complex areas             Temirbekov  N.M.
7. The study of efficient algorithms for numerical solution of problems of hydrodynamics and filtration using high-performance computing systems                                                                              Danayev N.T.
8. Mathematical modeling of hydrological, climate and energy regimes of small rivers, wind and sun-resistant zones of Kazakhstan and the mathematical basis for selecting the method of effective utilization of the energy potential of renewable energy resources                                      

                                                                                                                              Serikbaev A.U.,
                                                                                                                               Kasymov U.T.
9. Development of mathematical models for solving turbulence problems on the basis of the ensemble averaged Navier-Stokes equations with the implementation of the method of large eddies                                                                                                                  Zhumagulov B.T.,
                                                                                                                           Abdibekov U.S

Direction 1.11 Current problems in fluid mechanics, gas and plasma

10. Studying stochastic models and methods for calculating multiphase filtration of immiscible fluids in saturated layer.                                                                                                    Zhapbasbayev U.K.

11. Development of models and methods for exploring hydro and gas dynamics and heat transfer in complex jet streams of  media with respect to physical and chemical transformations.                                                                                                                                                 Ershin Sh.A.

12. Development of three-dimensional mathematical model of turbulent reacting flows with a plasma source and the establishment of fundamental laws two-phase flow combustion 

                                                                                                                                  Meserle V.E
13. The development of statistical theory and a method of mathematical modeling of alternating turbulent flows                                                                                                                          NuzhnovY.V.
14. Development of methods for detailed numerical studies and to study the properties of supersonic combustion and detonation of hydrogen in the engine of the new concept                                       

                                                                                                                               Kaltayev A. Zh.

Direction 1.15 "High-performance computing and microprocessor-based systems" 

15. Development of new information technologies aimed at the use of parallel computing systems and distributed computing networks while modeling problems of geotechnology

                                                                                                                 Tungatarova M. Ualiev J.
16. Development of methods and algorithms for high performance computing with the specification and verification of data on cluster systems using OPEN MP and MPI directives procedures                                                                                       Zhumagulov B.T, Abdibekov U.S.
17. Creating geographic information system for monitoring the city air quality using parallel computing for solving the atmospheric boundary layer equations in high-performance cluster

                                                                                                                            Temirbekov N.M

Direction 1.16. Study of boundary value problems for systems of differential equations, non-classical boundary value problems for differential equations, asymptotic methods for solving singularly perturbed equations, boundary value problems of partial differential equations and their applications

18. Investigation of boundary value problems for partial differential equations and nonlinear equations of  magnetohydrodynamics, elasticity theory

                                                                                                                           Orynbasarov M.O.
                                                                                                                            Sakhayev S.S.
19. Direct and inverse non-classical non-local boundary value problems for differential equations             

                                                                                                                                Kanguzhin B.I.
20. Asymptotic methods for solving singularly perturbed equation                                       Kasymov K.A
21. Posed and Inverse boundary value problems for differential equations with partial derivatives and their applications                                                                                                               Temirbolat S.E

Direction 1.17. Solving urgent problems of mathematical control theory

22. Development of the theory of controllability, optimal control, stability of dynamical systems with cylindrical phase space and its applications                                                                      Aypanov Sh.A.
23. Development of a constructive method of solving boundary value problems of optimal control and its applications                                                                                                               Aisagaliev S.A.

Direction 1.18. Theory of Universes and minimal models

24. Connection between the manipulatives and definable minimum of mathematical structures and their extensions enrichments                                                                                                 Nurtazin A.T.
25. Phy spectrum theory and the structure of minimal structures                                         Tusupov D.