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Mathematical Support of Experimental and Theoretical Studies Conducted by JINR

• Study within the thermal spike model, of track formation processes inside high-temperature superconductors and radiation-resistant isolators in experiments which are carried out at FLNR and VBLHE. Development and application of Monte Carlo models for the analysis of ultra-relativistic nuclear collisions in experiments STAR, CMS, CBM. Ultra-relativistic Quantum Molecular Dynamics model simulation of processes of nucleus fragmentation and destruction in nuclear interactions in experiments SPHERE and BECQUERELL. Modelling the multiple emission of intermediate mass fragments for experiment FAZA. Calculations of cross-sections in experiment NIS. Software development and Monte Carlo modelling of experiment COMPASS. Numerical study of processes inside electronuclear systems at Nuclotron beams. Development of software for primary and off-line data processing for experiments in FLNP (SAS, Fitter, etc.). Development and implementation of algorithms for track recognition, mathematical data processing, statistical analysis of physical information for experiments EXCHARM, HERA-B, DELPHI, TESLA.
  
  
• Development of a procedure of controlling the accuracy of computation of finite element solutions of three-dimensional problems of magnetostatics. Development of dipole magnet computer model for the PANDA forward spectrometer. Development of computer simulation of the superconducting dipole magnet for experiment CBM. Simulation and computation of the magnetic system of the GSI accelerating installation.
  
  
• Development of new data handling algorithms for RICH detectors (experiment CBM). Neural network based algorithms for the target tracker (experiment OPERA). Research and development of pattern recognition algorithms of the hard muon reconstruction in the CMS Endcap Muon system. Increasing the efficiency of algorithms of reconstruction of charged particles trajectories in experiment H1. Development of new algorithms for global event reconstruction in experiment CBM. Development and maintenance of specialized program complexes for simulation of experimental setups with the help of the GEANT package on the ROOT basis interface.
  
  
• Development of Bayestian automatic adaptive quadrature algorithms and software. Development of numerical methods of computing hadron-nucleus and nucleus-nucleus interaction cross-sections at intermediate energies. Further development of the QMD-model and the package CHIMERA. Development of algorithms for the reconstruction of the nucleus-nucleus potential at intermediate energies within the microscopic approach. Numerical studies of light nuclei with neutron halo. Numerical studies of the behavior of helium-like systems in external fields. Modelling structure and properties of organic materials and biological objects within the small-angle neutron experiments in FLNP. Development of mathematical models for the description of mechanisms relating to each other thermal and thermo-elastic processes arising in condensed matter exposed to strong pulsed charged particles beams (in FLNR) experiments. Mathematical simulation of the oscillatory response of para- and ferromagnetic materials. Calculations of transport coefficients in nuclear matter. Creating a software complex for mathematical simulation of interacting protein macromolecules with the solvent. Development of algorithms and software for construction of self-similar and static solutions of systems of nonlinear wave equations. Development of algorithms in the study of nonlinear systems of astrophysics, condensed matter physics and nonlinear optics. Development and application of a program package for solving systems of nonlinear differential equations in the widespread turbulence problem. Matrix representation of full sets of observables of quantum-molecular systems. Research in quantum statistical properties of polymers.
  
  
• C/C++ implementation of algorithms for computing involutive bases of polynomial modules. The first implementation of algorithms of finding the greatest common divisor of multivariate polynomials. Creation of the alpha version of open access software on the basis of the GNU methodology, with user-friendly graphic interface.
  
  
• Development of parallel algorithms and programs for modelling massless interacting collapsing fields. Investigation of scalability of parallelizing involutive algorithms on shared memory multiprocessor systems. Installation of the event generators server at JINR. Development of quantum algorithms of solving NP problems: the salesman problem. Numerical and analytical investigation of two-mode systems allowing for quantum information processing: topologicall coherent modes of trapped atoms and nonlinear spin assemblies. Study of the dynamics of abrupt information changes in computer networks. Research on functionally relevant genome elements from the distributions of their electrostatic potentials.

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