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

• Three-dimensional computer simulation of magnetic field distribution in superconducting corrective magnets for the NICA (JINR) and FAIR (GSI) projects.
  
  Support for 3D multi-physical simulations using the COMSOL Multiphysics package for development of a superconducting proton therapy cyclotron in Dubna. Analysis of the measured magnetic field maps, calculations of the beam dynamics as well as of the influence of additional elements on the distribution of the magnetic field.
  
  Development of methods and algorithms for efficient highly accurate three-dimensional modeling of magnets and computations targeted to the creation of superconducting cyclotrons for proton therapy, in collaboration with DLNP.
  
  Generalization of Nambu – Jona-Lasinio – Polyakov model for the numerical description of properties of nuclear matter at NICA energies.
  
  Development of new molecular dynamics algorithms aimed at increasing accuracy and significantly reducing the computing time.
  
  Development of models for numerical studies of long-range structural changes of materials under heavy ion and nanocluster irradiation.
  
  Numerical modeling of ablation at material surfaces under the action of ultrashort laser pulses.
  
  Development of numerical methods for describing equilibrium and nonequilibrium properties of mesoscopic systems of trapped atoms.
  
  Numerical investigation of nuclear-physical processes within microscopic models, including reactions with light exotic nuclei.
  
  Modeling neutrino-induced electromagnetic cascades at extremely high energies.
  
  Development of methods for modeling the reflection of neutrons from layered nanostructures. Studies of magnetic films as structures consisting of vector micro-objects.
  
  Study the role of spinor field in the evolution of the Universe (for minimal and non-minimal coupling) and in the formation of black holes and wormholes.
  
  Maintenance of SAS primary processing program for YuMO spectrometer; development of a program for position sensitive detectors (isotropic and anisotropic scattering cases).
  
  Step-by-step creation of an alert system for the BAIKAL project of DLNP.
  
  Development of an extrapolation method of the sixth order with the aim at improving the algorithm efficiency for the numerical solution of a wide range of tasks.
  
  Development of methods and algorithms for processing and analysis of the neutron noise of the IBR-2M reactor.
  
  Multistage multiscale approach to the Bayesian automatic adaptive quadrature.
  
  Development of algorithms for the numerical simulation of the evolution of a liquid crystal in a pulsed electric field, as well as under the influence of an orienting structured surface.
  
  Simulation of peculiarities of the absorption-emission and photon density of states of a cholesterol liquid crystal with isotropic defect inside.
  
  Transport approach based modeling of heavy-ion fragmentation reactions and comparison with experimental data.
  
  
• Within the Geant4 package: modeling interactions and application in various experiments (PANDA, NICA/MPD, NICA/SPD).
  
  Development of software support, processing and analysis of data in NUCLEON experiment.
  
  Software support for the BM@N experiment: development and implementation of algorithms for modeling, processing and analysis of data for the BM@N track system consisting of gas and semiconductor detectors with microstrip information acquisition (GEM, SILICON, CSC) and their subsequent integration into the BMNRoot.
  
  Development and refinement of the DQGSM model by comparison with experimental data of the BM@N.
  
  The MPD experiment: participation in the realization of a laser calibration system for detector alignment, monitoring drift velocity and for taking electric field distortion into account inside the Time-Projection Chamber (TPC) of the MPD central barrel.
  
  Further development of statistical methods for the analysis of experimental data under small statistics and incomplete observation of the studied processes.
  
  Development of batch processing of neutron diffraction spectra measured in real-time in situ mode (HRFD at IBR-2, FLNP).
  
  Software support of ATLAS experiment: development and maintenance of configuration and management of ATLAS TDAQ and of the EventIndex project
  
  Software support of CMS experiment: development, testing and implementation into the official CMS release of algorithms for the separation of overlapping signals and for building track segments in cathode strip chambers (CSC).
  
  The CBM experiment: development of a method for signal event selection in the CBM experiment based on a J/ µ⁺ µ^- trigger. Adaptation of the _n ^k criterion for the selection of doubly charged particles using the STS detector. Development of methods for the selection of rare decays associated with the hypernuclei.
  
  Improvement of the geometry database for the problems of the CBM experiment and the NICA project.
  
  Approximation of the Internet traffic measurements in the trunk channel with the sum of log-normal distributions.
  
  Analysis of nanostructure and properties of vesicular systems of phospholipids using the small-angle scattering data in the framework of the separated form factors model.
  
  Massive calculations of electrostatic potentials of Zn-transcription factors with the aim at determining the nature of their interaction with the operator DNA.
  
  
• Development of ML/DL-based algorithms, including algorithms based on recurrent and convolutional neural networks with deep learning, for the rapid recognition of multiple tracks in particle physics experiments, including the NICA megaproject and the neutrino program.
  
  Development of algorithms based on the neural network approach for analysis and classification of medical and biological data and for forecasting the status of the environment.
  
  Parallelization of the most time-consuming functions using OpenMP, MPI, CUDA/OpenCL tools for modeling and reconstructing events in NICA experiments.
  
  Development of mathematical methods based on deep learning neural network approach for the determination of fine structures in the distribution of nuclear reaction products by mass and energy.
  
  Development and implementation of FEM solution of complex nonlinear magnetostatic problems within the COMSOL Multiphysics package.
  
  Parallel software on heterogeneous computing platforms for high performance numerical simulation of complex physical processes (Josephson junctions, localized states in condensed media, gas-hydrodynamic processes in porous media).
  
  Numerical study of multidimensional models based on evolutionary equations.
  
  Parallel algorithms for solving equations of motion of the molecular dynamics and equations of continuous media.
  
  Study of the possibility of increasing the performance of data analysis in ROOT through the use of graphics processors, comparative analysis of parallelization using PROOF and OpenCL (for applications in NICA project).
  
  Parallel implementation of large scale random matrices diagonalization.
  
  Parallel algorithms and codes for the solution of non-standard problems of magnetostatics.
  
  Solving optimization problems aimed at getting best parameters of superdense nuclear matter models in the simulation of heavy ion collisions and in astrophysical applications.
  
  Development of LDPC-like efficient decoding algorithms based on a genetic approach.
  
  Development of finite element method based computational schemes for the description of the quadrupole oscillations of the collective model of the nucleus.
  
  Development of computational schemes for the triangular three-center Coulomb problem and application to the H₃ ⁺ molecule ion and H₂O molecule.
  
  Rebuilding mathematical packages entering the JINRLIB and CERNLIB (MATHLIB) libraries using modern software development tools, including open source (Intel Parallel Studio, GNU Compiler Collection).
  
  Development of the concept of a scalable software-analytical platform for the collection, storage and processing of results for the MPD experiment within the Big Data approach.
  
  Development of approaches for simulation, reconstruction and data processing of experiments on the basis of Big data Analytics for hybrid systems; use of new mathematical methods such as DQC (Dynamic Quantum Clustering), etc.
  
  Application of machine learning and artificial intelligence techniques for the optimization of the functioning of distributed computing for physical experiments; use of new mathematical methods such as Complex Networks, etc.
  
  Creation of a prototype system for intelligent monitoring of distributed computing systems based on the Big Data Analytics platform using streaming data and time series analysis methods.
  
  
• Modeling intelligence networks performing operations based on quantum decision theory; numerical analysis of models of artificial intelligence.
  
  Construction of an involutive monomial division providing compactness of the canonical involutive form.
  
  Development of an algorithm for reduction of systems of nonlinear algebraic equations to compact involutive form.
  
  HybriLIT GPU implementation of an algorithm for reduction of polynomial algebraic systems to canonical involutive form.
  
  Development of algorithms and programs to study multipartite quantum systems with spatial structure.
  
  Choice and analysis of a model of artificial neural network admitting implementation of the track reconstruction problem on existing adiabatic quantum computers.
  
  Definition of the basic elements for a quantum algorithm for the study of phase transitions in lattice QCD models at finite density.
  
  Computation of quasi-probability distributions for two qubit system.
  
  Computation of conditional probabilities of qubit state separability for non-negative Wigner distributions.
  
  Development of Lindblad equation for open relativistic systems based on the Bogolyubov equations for the state vector in relativistic quantum field theory.
  
  Embedding the FORM system module of field-theoretical calculations in high-energy physics into the Axiom system of computer algebra.
  

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