Participating Countries and International organizations:
Armenia, Australia, Austria, Belarus, Brazil, Bulgaria, Canada, CERN, China, Czech Republic, France, Georgia, Germany, Great Britain, India, Italy, Kazakhstan, Mexico, Mongolia, Poland, Romania, Russia, Saudi Arabia, Slovakia, South Africa, Switzerland, Taiwan, Tajikistan, USA, Vietnam. 

Scientific Programme:
Crrying out paramount advanced research in the field of computational mathematics and computational physics, directed to the creation of new mathematical methods, algorithms, and software for the numerical or symbolic-numerical solution of topics arising in experimental and theoretical studies, by using the newest computational tools, primarily the heterogeneous cluster HybriLIT. This subject area includes a wide spectrum of investigations underway at JINR in high energy physics, nuclear physics, condensed matter physics and nanotechnologies, biophysics, information technologies, etc., which demand the development of new mathematical methods and approaches for modeling physical processes, processing and analysis of experimental data, including the use of these studies in the NICA project, the neutrino programme and other strategic goals of the Institute. A distinctive feature of these investigations is the close cooperation of LIT with research groups from all the JINR laboratories and from Member State institutions. 

Expected main results in 2018:

• Numerical investigation of the hydrodynamical equations for dense nuclear matter at NICA energies: one-dimensional hydrodynamics (Glauber model and Bjorken scenario); the 3-fluid hydrodynamics for heavy ion collisions. Creation of parallel packages on HybriLIT. 
  
  Study of the bound states of the hadrons and their birth in hot dense nuclear matter at the NICA energies. Creation of parallel packages on HybriLIT. 
  
  Three-dimensional computer simulation of magnetic field distribution in superconducting dipole and quadrupole magnets for the NICA Collider. Simulation of magnetic field in superconducting quadrupole magnets of the SIS100 (FAIR). 
  
  Lattice study of the dependence of the gluon effective mass within SU(2) gluodynamics on the choice of lattice boundary conditions. 
  
  Study of the occurrence of the quark degrees of freedom in nuclear structures and of the spin transfer in dA reactions in the BM@N experiment. 
  
  Development of a method to study photoproduction of long-lived nP states of the  ^+ - atoms and nuclei at large momentum transfers. 
  
  Development of numerical and analytical methods of calculation, in the eikonal approximation, of forward transition amplitudes of the dimesoatoms as functions of the transferred momentum. 
  
  Development of methods of calculation of kinetic, thermodynamic and optical characteristics of the intermediates in the Belousov-Zhabotinsky oscillating reactions. 
  
  Development of the microscopic optical potential model and its application to numerical studies of the mechanisms of interaction of the particles and nuclei with nuclei, including reactions with light exotic nuclei. Analysis and modeling of physical processes at the installations COMBAS and BURAN. 
  
  Numerical investigation of the spin dynamics of dipolar and spinor molecules in optical lattices. 
  
  Mathematical modeling of beam dynamics with subsequent correction of the formed magnetic field in the cyclotron for proton therapy SC202 (Hefei, China) on the basis of measured magnetic field maps and measured Smith-Garren curves. Mathematical modeling of operating modes for multi-purpose isochronous cyclotrons: AIC-144 (Krakow, Poland) and DC-280 (Dubna, Russia). 
  
  Development and maintenance of the primary data processing program "SAS" for the YuMO spectrometer at IBR-2M. Program upgrade to accommodate position sensitive detectors for isotropic scattering samples and ring detectors. 
  
  Development of algorithms for data analysis for anisotropic scattering samples. 
  
  Development of methods and algorithms for computing informative features invariant to geometrical transformations of 2D curves specified by measured point coordinates. 
  
  Optimal control of the decision path in Bayesian automatic adaptive quadrature. 
  
  Study of the stability of economical methods for solving systems of linear algebraic equations with band matrices arising in the approximation of equations of elliptic and parabolic types with discontinuous coefficients. 
  
  Simulation of the process of cooling of the compact stars the equation of state of which characterizes the superdense nuclear matter, allowing the existence of a third family of compact stars (twins) and study of the characteristics of their thermal behavior. 
  
  Numerical modelling of quantitative structural changes in materials irradiated by beams of heavy ions and nanoclusters. Modeling the electron structure of lead halide perovskites for the next generation of solar cells and spintronics. 
  
  
• Adaptation of the GEANT4 FTF model for simulations of antiproton-proton and antiproton-nucleus interactions foreseen in the PANDA experiment. 
  
  Tuning and validation of the GEANT4 FTF model for light and intermediate nucleus collisions, using the latest RHIC and NICA data, with the aim to use the created program for design studies and analysis of experimental data. 
  
  Study of the structural functions of the dileptons and of the enhancement of the strange particle yield in heavy-ion collisions in the NICA collaboration. 
  
  Further development of the dataflow control system in the experiments of the NICA project. 
  
  Software support of ATLAS experiment, agreed with the ATLAS computing team: creation and maintenance of a zipc-based new version of the Resource Manager; maintenance and development of a new version of the TDAQ Log Manager of the ATLAS; support and improvement of ATLAS network monitoring dashboard tool. 
  
  Improving the algorithms of the spatial coordinate recovery of the interaction points of the detected particles with matter in the tracking GEM detectors of the BM@N setup. 
  
  Development of a software model of the microstrip silicon detector and of algorithms for processing the data acquired with this detector, with the purpose to improve the accuracy of reconstruction of the primary vertices of interaction and to increase the effectiveness of the reconstruction of charged particle tracks in the BM@N setup BM@N: Trajectory reconstruction of charged particles in tracking detectors; strange hyperon search in Nuclotron data. 
  
  Reconstruction of the impulses of the charged particles registered by the GEM detectors in inhomogeneous magnetic field in the BM@N experiment based on the method of orthogonal polynomial sampling. 
  
  Reconstruction of the decays of short-lived strange and multistrange baryons in the BM@N experiment with the package KFParticleFinder. 
  
  Development of algorithms and programs for the particle trajectories recognition in the MPD setup. CMS: Development and testing of the algorithm of overlapped signal separation in CSC and its implementation into official CMS release; investigation of CSC performance (efficiency and resolution) with new LHC data; CSC ageing study on muon beam tests at the radiation source CERN-GIF++. 
  
  Investigation of the structure and properties of phospholipid based polydisperse nanosystems from small-angle scattering data analysis. 
  
  Basic element method based processing of the neutron noise of the reactor IBR-2M. 
  
  Investigation of applicability of neural networks with deep learning in the processing of the experimental information from modern track detectors in high energy physics to develop new algorithms for the reconstruction of the tracks of elementary particles. 
  
  Development of data processing programs for the project BAIKAL. 
  
  Further development of the software package VMRIA for the automatic analysis of large spectra collected in experiments carried out on HRFD at IBR-2M aimed at the study of the temporal evolution of the phase composition of polycrystals. 
  
  Development of software for automatic calibration of multi-detection systems based on the solution of a pattern recognition problem. 
  
  Development of event analysis based methods for parameter estimation and hypothesis testing under low statistics experiments and observation incompleteness. 
  
  Evaluation of the accuracy and resolution of the implementation of the inverse Fourier transform method used in neutron reflectometry for certain stochastic models of the surface of nanostructured objects. 
  
  Adaptation of the algorithm L1 - recognition and track reconstruction of charged particles for the BM@N experiment. 
  
  Further development of criteria and methods of reconstruction of the decays J/ e ⁺e ^- in the CBM experiment. 
  
  Study of the possibility of creating a trigger for the selection of J/ e ⁺e ^- based on the reconstruction of the trajectories of charged particles and their identification in the transition radiation detector TRD in the CBM experiment. 
  
  Further development of selection criteria of the rare decays J/ µ ⁺µ ^- using data from the coordinate planes of the MUCH detector. 
  
  Software development of the data acquisition system (DAQ) and of the software interface between the DAQ and CBMRoot for the RICH detector online analysis. 
  
  Development, optimization and testing of algorithms for the event processing system FLES on multicore servers at LIT. Inclusion of the 4D-reconstruction time slices in CBMROOT. Study of the problem of possible event cleavage in the border areas between neighboring time slices. 
  
  Development and application of the "CATIA-GDML Geometry Builder" software to automatic design of large-scale experimental facilities in the environment ROOT / GEANT4-based CAD system CATIA v5. Application to the development of experimental facilities in JINR laboratories. 
  
  Further development of a database system for the CBM experiment: 
  1) implementation of component-wise database adapted to the features of the various detectors of the CBM facility; 
  2) implementation of the structure of the geometric database. 
  
  Development of methods and algorithms for massive calculations of electrostatic potentials of molecules of DNA, RNA and protein factors, as well as maps of the surface of these biopolymers. Calculation at the HybriLIT cluster of electrostatic potentials and surface maps of biopolymer molecules enabling solutions of biomolecular recognition problems. 
  
  
• Development and maintenance of the information-computing environment of the heterogeneous cluster HybriLIT including the setup and maintenance of specialized libraries. 
  
  Computer simulation of complex processes in multi-parameter nonlinear models of physics of the condensed state, including the polaron and the long Josephson junction models. Their code implementation for computations on HybriLIT. 
  
  Development of methods and MPI packages for the computation of multiple integrals (up to 9D) for the study of processes of ionization and photoionization of the He atom, polyatomic molecules, and their ions. 
  
  Development and implementation of new parallel algorithms into the MCTDHB software complex and their adaptation to the new KNL architecture of the Intel Xeon Phi. 
  
  HybriLIT devoted optimization of selected programs of the ROOT software package with the aim to improve the efficiency of parallel computing. 
  
  Development of parallel algorithms for direct methods of solving large sparse systems obtained under use of hp-adaptive projection-element methods with discontinuous bases. 
  
  Testing and validation of different modules of Comsol Multiphysics® package on the cluster HybriLIT and their adaptation for solving engineering-physical problems in JINR laboratories (superconducting magnet SC202-DLNP, modules of the new FLNR accelerator). 
  
  Implementation of parallel algorithms for the numerical solution of the Boltzmann-Poisson equations describing the interaction of protein macromolecules with the solvent. 
  
  
• Modeling quantum spin dynamics of charged particles in intense laser fields. Development of a classification scheme of mixed states of quantum relativistic composite systems. 
  
  Development of search algorithms of regular structures in combinatorial models of quantum evolution using Monte Carlo simulation and methods of computational group theory. 
  
  Derivation of an algorithm for finding the parameterization of a simple complex Lie group as a singular Riemannian foliation on conjugacy classes using methods of the computational theory of the invariants. 
  
  Derivation, in the framework of Kantorovich method, of symbolic - numerical algorithms for solving three-dimensional and parametric two-dimensional boundary value problems by finite element methods of high order of accuracy for the study of bound states and scattering states of atom trimers. 
  
  Derivation of an algorithm for finding minimal bases of Feynman integrals with arbitrary powers of the propagators and its implementation in Maple. Application of the algorithm to one-loop integrals. Creation and optimization of a package in C to bring systems of linear difference equations to canonical involutive forms. 
  
  Development of constructive methods of Thomas triangular decomposition for polynomial-nonlinear systems of difference equations. Algorithmic test of the linearizability and equivalence for ordinary differential equations.