Parallel algorithms for nonlinear modeling of dynamic objects on a supercomputer.

The development of modern technologies in the field of electronics and the complexity of the devices being designed leads not only to an increase in time spent on the solution, but also increases the probability of the analysis procedures failure due to the accumulation of instrumental and methodological errors. At the present stage of microminiaturization, more physical effects should be taken into account complicating significantly the process of the objects’ dynamic analysis.

Developing specialized knowledge bases for recursive parser of weakly connected originated natural language text information and Web-applications

Knowledge base for processing and structuring of natural - language information, which provides a recursive text parser, based on a new formal model of the structural level of organization of linguistic material,which provides a recursive scheme of organization that clearly defined an element of recursion - the basic semantic and syntactic structure, which is described by the extended model.

Hierarchical Internet-oriented microserver systems for remote experimental data asquisition and processing

Hardware-software complex for development of distributed informational-measurement microcontroller systems with microserver Internet access based on hierarchical structures of multilevel measurement systems was developed. New structural and technical solutions for multilevel data acquisition systems were suggested. The system is built as a two-level microserver Ethernet-network of virtual measurement modules. Test samples of basic hardware/software tools were designed.

Development of bases of design of stochastic processes in chemical technology taking into account the possible terms of incomplete information about the heterogenic systems.

When solving many applied problems encountered processes associated with the necessity to take account of stochastic properties of heterogeneous systems. Such problems regularly arise in a number of leading industries - chemical, petroleum, building materials, food and others, where important are hydrodynamic processes associated with separation at urahuvanni heterogeneity.

Mathematical modelling of forming processes of multycomponent polymeric composition materials by using of the directed physical and chemical modification

The important is decided|solve| folk|national| economic task|tsk|, related to development|elaboration| of scientific|science| bases|backing| of the directed|ducted| application  of physical|physics| modification as an ultrasonic|ultrasound| action|act| in technology|technicology| of receipt of wide spectrum of wares from much component|reductant| epoxy|  | polymers, directed|ducted| on the increase|rise| of efficiency  and achievement of resourse| and energy| economies|nest-egg| at their receipt.

Development of theoretical foundations of designing diffractive optical elements and systems based on them.

We solve the scientific problem of developing the theoretical foundations of designing diffractive optical elements and systems based on them. Based on the research results are as follows:
An approximate equation of Fresnel diffraction, which is used in the design of optical systems based on diffraction theory.

Creation of the generalized discrete model of processes of forming of polymeric wares taking into account the tensely-deformed state of structural elements of machines at the complex thermal-force stress.

The universal discrete mathematical model of unisothermal movement of polymeric environments in ducting of processing equipment in the processes of melting, temperature homogenization and forming taking into account influencing of deformation of structural elements of equipment, being based on equalizations of mechanics of continuous environments is developed. Realization of model is carried out on the base of moment chart of method of finite elements with the use of 9-point element.

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