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Methods, Algorithms and Software for Modeling Physical Systems, Mathematical Processing and Analysis of Experimental Data

• Development of numerical and analytical methods of investigation of nonlinear models of physics and application of the obtained results to the study of the interaction of nanocluster beams with complex systems and to the characterization of the gradient optical waveguides.
  
  Study of general properties of nucleus-nucleus interactions at energies planned by NICA/MPD, CBM and PANDA experiments using hadronic models of Geant4 package.
  
  3D modeling of the dipole, quadrupole and multipole magnets for the booster of NICA (JINR) and for SIS100 (FAIR, GSI, DARMSTADT).
  
  Study of nuclear physical processes of isotope accumulation and burnout in extended targets and subcritical fission systems; software maintenance of current experiments on target irradiation with protons and nuclei.
  
  Development of a new method for computing Coulomb corrections to the Migdal functions G(s) and F(s) of the quantum Landau-Pomeranchuk effect theory (DIRAC collaboration).
  
  Creation of new algorithms for computing unitarity and Coulomb corrections to observables of the Moliere-Fano multiple scattering theory (DIRAC collaboration).
  
  Development of methods and programs for microscopic potential calculations and their use to the analysis of experimental data on pion-nucleus, proton-nucleus, and nucleus-nucleus scattering, and other elastic and inelastic scattering reactions.
  
  Development of algorithms and software for the study of new types of nuclear collective motion, associated to the spin degrees of freedom.
  
  Transport approach modeling of peripheral reactions at the Fermi energy.
  
  Development of methods for solving the Lorentz-Newton equation defining the new working modes of the multipurpose isochronous cyclotron DC-280 (FLNR, JINR).
  
  Numerical modeling of phase transitions and transient processes in physical systems encountered in studies conducted at JINR (graphite-diamond, high-temperature superconductors, Josephson transitions, thermal conductivity in technical installations).
  
  Development of a software package for the calculation of the reflection and transmission matrices, and of the corresponding wave functions for multi-channel scattering problems.
  
  Development of modeling methods and their use to the numerical investigation of localized patterns in dissipative and PT-symmetric discrete and continuous systems.
  
  Study of the possibilities of the suppression of the Gribov noise when computing the ghost propagator in the Landau gauge of the Quantum gluodynamics.
  
  Development of a new spinor field based approach for analytical and numerical investigation of actual problems of the modern cosmology.
  
  Inferences on the structure and properties of vesicular systems following from small-angle neutron and x-ray scattering data.
  
  Development of a novel approach based on utility rate equations, for describing the evolution of complex systems.
  
  
• Development or updating of methods, algorithms and software for recording rare processes in different detectors of the CBM setup (STS, MuCh, TRD, MVD) using high-performance computing systems.
  
  Development of a database system for the CBM experiment (definition, agreement, and clarification of the general concepts, creation of a prototype database of the individual elements and detectors of the CBM setup).
  
  Development, testing and implementation of a new algorithm for constructing track-segments in the cathode strip chambers of the CMS setup.
  
  Software readiness for the front-end part of the CMS muon system to the LHC start in 2015.
  
  Support and upgrade of the ATLAS TDAQ components Resource Manager, Event Dump, Web Monitoring Interface.
  
  Solving tasks within the Control and Monitoring ATLAS TDAQ groups.
  
  Development of algorithms and software for the recognition of particle trajectories in the MPD and BM@N experiments.
  
  The use of robust methods for the detection of stochastic processes anomalies.
  
  Development of numerical methods, algorithms and software for metric analysis based reconstruction of nonlinear functional dependencies and for random processes forecasting.
  
  Creation and development of effective methods and algorithms for data processing based on approximation (extrapolation) by the basis element method.
  
  Extension of the capabilities for small-angle scattering data modeling (program "Fitter") and development, in the framework of the "SAS" program, of the primary data processing for multi-wire ring detectors for the YuMO spectrometer at the IBR-2 reactor.
  
  Refinement and improvement of the method of analysis of the sample temperature dependent phase transitions in spectra collected in experiments on HRFD at IBR-2.
  
  
• Creation of the information-computing environment of the heterogeneous cluster HybriLIT, which is the computational component of the Multifunctional center of storage, processing and analysis of data LIT JINR, with the aim at providing the users with opportunities to explore new approaches, technologies of parallel programming, as well as convenient tools for developing, debugging, and profiling parallel applications.
  
  Study of the performance capabilities of the HybriLIT with the aim at maximizing the throughput of the existing configuration and at optimizing its future extensions.
  
  Investigation of the conditions enabling reliable binary floating point arithmetic under the hardware and software environments of the HybriLIT.
  
  Development of numerical methods and algorithms for the investigation of physical processes in materials subject to irradiation by heavy ions and pulsed beams. Software implementation of the proposed algorithms for computing on HybriLIT.
  
  Optimization of algorithms modeling thermal conductivity processes in three-dimensional structures for calculations on HybriLIT.
  
  Adaptation of the software package MCTDHB for the study of the dynamics of interacting bosons in magneto-optical traps, for computations on systems with heterogeneous computing architecture (CPU + GPU + Intel Xeon Phi).
  
  Development of the trigger software for the MuCh detector using the method of cellular automata and technologies of parallel computing.
  
  Adaptation and optimization of algorithms for the search and reconstruction of the parameters of particle trajectories under simultaneous processing on multiple many-core CPU and GPU architectures.
  
  Development of a software package on HybriLIT for the 3D modeling of spin glasses including relaxation environments in external fields.
  
  Development of parallel programs for the calculation of the waveguide modes of multilayer waveguides, by implementing the method of sewing fields at the boundary layers of the waveguide and the pseudospectral method.
  
  The creation of projective-mesh methods and MPI algorithms with adaptive hp-approximation of high order for high-precision calculations of magnetic fields.
  
  
• Symbolic-numeric description of the entangled space for two-qubit mixed states.
  
  Application of computer algebra methods to the classification of entangled three-qubit pure states.
  
  Development of discrete combinatorial models for quantum systems with gauge structures and design of computer programs for the investigation of such models.
  
  Design of algorithms and programs to study resonant tunneling of composite systems through repulsive barriers.
  
  Partial implementation in Maple of the reduction algorithm for Feynman diagrams by means of generalized recurrence relations.
  
  Study of nonequilibrium behaviour of trapped atoms under strong alternating perturbations.
  
  Numerical investigation of spin dynamics of magnetic nanoclusters and development of models for quantum information processing.
  
  

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