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Computer Physics for Theoretical and Experimental Research

• Development of methods for modeling and processing experimental data, including the development and introduction of new methods for data filtering and data compression as well as pattern recognition. Introduction of the results in the software for experimental investigation.
  
  
• Creation of methods and numerical algorithms for magnetic fields calculation and particle beams transport. Introduction and maintenance of modern computer programs for calculations of magnetic and resonator fields.
  
  
• Creation of systems for experimental data processing in particle physics, including the development of algorithms, software and architecture of computing clusters. Application of the developed systems for mathematical processing of experimental data in nuclear physics and condensed matter physics.
  
  
• Creation of numerical methods and software for mathematical simulation of complex physics systems. Development of a program library for calculation of stationary and dynamic models of quantum mechanics and field theory oriented to the vector-parallel computing systems.
  
  
• Development of methods, algorithms and software of computer algebra. Introduction and maintenance of modern systems of analytical calculations for physics problems.

• Development of mathematical models for description of general characteristics of processes of multiple generation in antiproton - nucleus interactions up to the energies of the order of 30 GeV (the models of ultra relativistic quantum molecular dynamics -UrQMD and dual-parton model -DPM taking into account evaporation and fission of heavy nuclei. Development of mathematical models for research on fragmentation of nuclei in nucleus - nucleus interactions in the framework of DPM and QMD. Simulation and visualization of the structure and interactions of light exotic nuclei. Development of computational methods and computing programs for calculation of differential and complete cross-sections of scattering and reactions in nucleus - nucleus collisions on the basis of the Glauber - Sitenko approach. Development of algorithms for carrying out the mathematical processing of simulated and experimental data (alignment of track detectors, recognition and definition of parameters of trajectories and Cherenkov radiation rings) with the use of a robust approach, neural nets and wavelet transforms. Application of developed methods and software packages for modeling and information processing for new experiments and experiments STAR, ALICE, SPHERE, HADES, SAD.
  
  
• Development of numerical methods for calculation of non-stationary electromagnetic fields. Modeling of fast oscillating dipole magnets (LHE, JINR). Creation of numerical methods and codes for modeling the transporting of charged particles in heterogeneous magnetic and electric fields. Mathematical simulation of unstable states of substance. Mathematical modeling of processes of formation and structure of the tracks generated by accelerated ions in various materials. Development of algorithms and a software complex for research in the system of interreacting Young - Mills and dilaton fields. Simulation of diffusion of radioactive atoms in the collection of radioactive atoms and their diffusion on a vacuum line of transportation up to the ion radiant. Development of a procedure of control over computation accuracy at physical field calculus by a finite element method, development of methods of adaptive three-dimensional interpolation for vector functions in the problems of experimental physics.
  
  
• Development of algorithms for the mathematical processing of experimental data (alignment of track detectors, recognition and determination of track parameters) for experiments in particle physics. Development of the integrated distributed hardware-software platform on the basis of linux-clusters of the JINR computer centre. Development and research of new methods of 2D and 3D approximations and smoothing oriented on raise of efficiency in solving data processing problems. Application of the developed methods and software packages for data processing of installations CMS, ATLAS, COMPASS, EXCHARM, OPERA, PoLiD. Analysis of experimental data obtained at installations DIRAC, DUBTO, NEMO, CORSET and DEMON.
  
  
• Mathematical simulation of interrelation mechanisms of thermal, thermo-elastic and thermoplastic processes originating in samples of materials exposed to powerful pulsed beams of charged particles. Study of modifying the structure of the materials' surfaces. Construction of a mathematical model, describng the nuclear fission process in frames of the elasto-dynamical approach. Calculation of characteristics of composite nuclei and numerical investigation of fusion processes in reactions with heavy ions in the framework of a double nuclear system model. Development of methods of calculating cross-sections for light radioactive nuclei. Development of numerical methods of solving the nonlinear differential equations originating in modern astrophysical and cosmological models. Research in non-Abelian SU(2) gauge fields on large lattices. Simulation and analysis of a developed isotropic and anisotropic turbulence and related models of stochastic dynamics problems. Development of quantum-field and molecular dynamic models of complex processes. Development of algorithms and codes for solving the nonlinear equations originating in these models. Elaboration of software for experimental data processing in research of noncrystalline substances and fluids by the angular neutron scattering method and by X-rays. Construction of algorithms of modeling immune-chemical processes.
  
  
• Creation of a software complex based on the C/C++ language to reduce the systems of nonlinear algebraic equations to the canonical involutes form, convenient for their investigating and solving. Extension of this software complex by procedures of constructing involutive bases for modules in polynomial rings that is necessary for its generalization to the systems of partial differential equations. Integration of the created software in the computer algebra system Maple as a library routine. Design of Maple and Mathematica programs for investigation of degenerated quantum-mechanical models in gauge field theory. Analysis and development of an alternative mathematical model of quantum computing. Maintenance of modern computer algebra systems (Mathematica, Maple, Reduce).

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