Methods, Algorithms and Software for Modeling Physical Systems, Mathematical Processing and Analysis of Experimental Data
Leaders:  Gh. Adam P.V. Zrelov 
Participating countries and international organizations: Armenia, Belarus, Brazil, Bulgaria, Canada, CERN, China, Czech Republic, France, Georgia, Germany, United Kingdom, India, Italy, Japan, Kazakhstan, Lithuania,
Moldova, Mongolia, Poland, Romania, Russia, Saudi Arabia, Slovakia, South Africa, Switzerland, Tajikistan, USA, Vietnam.
Issues addressed and main goals of research: Carrying 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 symbolicnumerical 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 major results in the current year:
 Numerical investigation of model equations defining baryon behavior at NICA energies.
Threedimensional computer simulation of magnetic field distributions in superconducting dipole and quadrupole magnets for the projects NICA (JINR) and FAIR (GSI).
MonteCarlo simulations of gaugeinvariant observables within the lattice SU(2) gluodynamics under various boundary conditions.
Improvement of QGSM generator aimed at including experimental effects in the strange and dilepton particle yields.
Development of numerical and analytical methods for computing the ionization spectra of hydrogen like hadronic atoms in the eikonal approximation.
Modeling the extremely high energy electromagnetic showers analyzed in a number of ultrahigh energy neutrino astrophysics projects such as Baikal, IceCube, and Antares.
Analysis of interactions of stable and exotic nuclei with nuclei and protons on the basis of microscopic approach, including reactions ^{12,14}Be + ^{12}C and ^{12,14}Be+p.
Numerical investigation of complex physical processes described by multiparameter systems of nonlinear equations.
Transport approach based modeling of heavyion collisions in the Fermi energy range and its use in the analysis of COMBAS data.
Numerical modeling of fast magnetization reversal due to the influence of external alternating fields on the effective magnetic anisotropy.
Computer simulation of spin dynamics in dipole and spinor systems and numerical study of the influence of the quadratic Zeeman effect on spin dynamics.,
Calculation of beam dynamics, measurement of the SmithGarren curves and their recalculation as phase motion curves with the aim of evaluating the quality of formation of magnetic
fields and their correction for the isochronous cyclotrons AIC144 (Krakow, Poland), SC200 (Hefei, China), DC280 (FLNR, JINR).
Analysis of the measured magnetic field maps, calculations of beam dynamics and comparison of the results with those on simulated magnetic field maps (TOSCA, CST).
Development of numerical methods and algorithms for the study of phase transitions arising in materials under ion beam irradiation for parabolic and hyperbolic heat conduction
equations.
Development and support of the primary data processing program "SAS" for the YuMO spectrometer at IBR2M. Development and support of the new data converter "PSD2SAS"
for positionsensitive detector in isotropic pattern scattering case. Development of algorithms for data analysis for anisotropic pattern scattering samples. Visualization
and fitting of threedimensional data records.
Development of the basic elements method for solving problems of the contour analysis. Development of the basic elements method for solving problems of the contour analysis.
Development of methods, algorithms and programs for forecasting atmospheric pollution in the tasks of environmental monitoring based on machine learning.
Development of mathematical methods for resolving fine structure distributions with respect to mass and energy of the nuclear reaction products.
Least action control in Bayesian automatic adaptive quadrature.
Analysis of solitonbearing PTsymmetric spinor systems of condensed matter physics.
Study of soliton solutions of the dampeddriven repulsive nonlinear Schroedinger equation and their application to the analysis of the solitonmediated frequency combs.
Calculation and optimization of the magnetic field configurations of the large superconducting magnet of the SPD setup within the NICA project.
Numerical analysis by quantum chemistry methods of exchange interactions in crystalline iridiumoxide compositions with varying geometry of local bonds.
Development and use of a program package of the quasiphonon model of the nucleus for the study of the properties of heavy exotic nuclei. Development and use of a program
package of the quasiphonon model of the nucleus for the study of the properties of heavy exotic nuclei.
 Improvement of the FTF model of the Geant4 package and refinement of its parameters for simulation of protonnuclear and corenuclear interactions at intermediate energies
within the joint project of PANDA and HADES collaborations  Phase0 and Phase1 (GSI).
Simulation of protonproton and deuterondeuteron interactions at nucleonnucleon collision energies of 315 GeV (in the center of mass system) in the framework of the FTF
model of the Geant4 package for the NICA/SPD experiment. Adaptation of the FTF model for inelastic interactions in the computing environment of the NICA/SPD experiment  SPDRoot.
Development of Geant4 FTF model for modeling nuclearcore interactions in a wide range of energies and analyzing experimental data at BM@N (JINR) and NA61/SHINE, and planning
experiments for CBM (GSI) and MPD (JINR/NICA).
Participation in design of data bases for NICA project. Participation in design of online DAQ system for NICA project.
Commissioning the Geometry Database for the CBM experiment. Development of a database concept for useful events selected in the CBM experiment.
Software support of ATLAS experiment, agreed with the ATLAS computing team: support of online TDAQ ATLAS components that was implemented in LIT; support and improvement
of tool for ATLAS network monitoring dashboards; creation and support of Monitoring for ATLAS EventIndex project; participation in modernization of ATLAS condition databases for RUN3,
design and implementation conversion tools from COOL data to CREST data.
Development of algorithms for processing experimental data acquired with the planes of microstips tracking detectors (GEM and SILICON) for the current configuration
of the BM@N/NICA setup.
Development of software for detailed simulation of physics processes occurring in gaseous and semiconductor detectors of the main tracking system in the BM@N/NICA experiment.
BM@N: Reconstruction of trajectories and identification of charged particles using tracking and timeofflight detectors.
Investigations on the possibility to construct effective neural net algorithms for event reconstruction in TAIGA experiment.
Experiment NUCLEON: Development of a program for the analysis of data on the anisotropy of the cosmic rays. Investigation of additional possibilities of modified data analysis
schemes of records from heavy leaky calorimeters.
BM@N experiment: Experimental data processing of GEM detector data under improved impulse reconstruction of charged particles. Use of the obtained results for the reconstruction
of the decays of shortlived strange and multistrange baryons.
CMS: Further development and testing of the algorithm of overlapped signal separation in CSC and its implementation into official CMS release; assessment of CSC performance
(efficiency and resolution) with new LHC data; completion of CSC ageing studies on muon beam tests with radiation source (CERN Gamma Irradiation Facility (GIF++) ).
Investigation of structure and properties of polydispersed vesicles of phospholipids by analysis of experimental data on the small angle acattering of neutrons and xrays.
High order meansquare piecewise polynomial approximation based analysis of the slow noise changes of the power of the IBR2M reactor.
BAIKAL project: Development of the data acquisition software. Development of alert system.
Further development of VMRIA software package for large data set automatic analysis in experiments carried out on the High Resolution Fourier Diffractometer at IBR2M.
Development of methods and software for automatic calibration of multidetector systems.
Further development of statistical nonparametrical methods for parameter estimation and hypothesis testing under low data statistics and process observation incompleteness.
Development of methods for the simulation of the reflection of neutrons from layered nanostructures.
Development of criteria and methods for selection of exotic nuclei in the CBM experiment.
Development of triggers for recording rare decays of J/ in the dielectron and dimuon channels in the CBM experiment.
Investigation of statistical features of the Internet traffic. Analysis of external impact on the statistical characteristics of the information traffic.
Development of FPGA programs as part of reading and data acquisition electronics for CBM experiment.
Go4 user library upgrade for the data aquisition system for the experiments at the fragmentseparator ACCULINNA2 at FLNR.
Development of the FAIRroot based package EXPERtroot for simulation and data analysis for the experiments at the fragmentseparator ACCULINNA2 at FLNR.
Calculation of electrostatic potentials for Zn protein transcription factors.
Development of new methods for computation of kinetic, thermodynamic, and optical parameters of intermediate compunds in reactions of transition metal ions with heterocyclic compounds.
 Development and support of the informationcomputing environment of the heterogeneous platform HybriLIT including installation and maintenance of specialized libraries
and application software packages.
Optimization and analysis of the performance of developed packages of parallel programs using various parallel programming techniques.
Modeling processes of single and multiple ionization/photoionization of the water molecule.
Study of helium single ionization by fast proton impact in different kinematic regimes.
Development and implementation of new parallel algorithms for computations on hybrid architectures, including Intel Xeon Phi (KNL) processors and NVIDIA graphics accelerators.
Development and support on the cluster HybriLIT of a program devoted to particle identification in the search for anomalous lepton.
Study of the efficiency of various parallelization techniques implemented in the ROOT package, when computing on the heterogeneous HybriLIT cluster.
Maintenance of the information site created to support the ROOT users at JINR.
Optimization of software developed for solving NICA project problems on multiprocessor computing systems.
Development of algorithms and program modules of optimal hp discretization by discontinuous leastsquares method for parallel solving nonlinear magnetostatic problems.
Conducting research with the aim of reconciling the continuous thermal spike and molecular dynamics models for the description of thermoelastic processes under sample
irradiation with heavy ion beams.
Fast FEM algorithm for numerical solution of the 3D magnetostatic problems in COMSOL Multiphysics environment capable of yielding the high accuracy field maps for dipole
magnets with superconducting coils.
Analysis of the 3D thermoelectric modelling of the quench initiating and propagating in the superconducting coils and its precise detection for various cooling conditions
based on the COMSOL Multiphysics .
Development of methods and parallel algorithms for the reconstruction of the tracks of elementary particles based on neural networks with deep learning for the objectives
of the project NICA.
Formulation of the optimization problem for the nonlinear heat equation and development of parallel algorithms for solving it in hybrid computing architectures.
Development of new effective algorithms for improving LDPC decoding performance.
 Development of an algebraic method for constructing quasiprobability distributions of composite finitedimensional quantum systems.
Analysis of the interplay between the negativity of the Wigner functions quasiprobability and the entanglement for mixed quantum states of finitedimensional quantum systems.
Development of algorithmic methods for constructing the first differential approximation (modified equations) of difference schemes for systems of quasilinear partial differential
equations with polynomial nonlinearity.
Construction of data structures for systems of nonlinear algebraic equations which admit efficient parallelization and implementation on the heterogeneous cluster HybriLIT
of algorithms for the transformation of such systems to canonical involutive forms.
Creation of algorithms and programs for the analysis of metastable and bound states of a Beryllium trimer with realistic pair interactions in a collinear configuration.
Creation of algorithms and programs for generating orthonormal BargmannMoshinsky basis for the evaluation of spectra of the collective nuclear model.
Development of an effective algorithm for irreducible component splitting of unitary group representations describing quantum systems.
New compact formulae for the oneloop 3, 4, 5 and 6point Feynman integrals in arbitrary space time dimension.
List of Activities   Activity or experiment  Leaders  
 Laboratory or other Division of JINR  Main researchers

1.  Mathematical and computation
methods for simulation of complex
physical systems  Gh. Adam I.V. Puzynin 


LIT
 S. Adam, R. Akhat, P.G. Akishin, I.V. Amirkhanov,
E.A. Ayrjan, I.V. Barashenkov, A.A. Bogolubskaya,
I.L. Bogolubsky, N.D. Dikoussar,
H. Grigorian, M. Kakenov, Yu.L. Kalinovsky, T.V. Karamysheva, N.A. Kutovskyi,
K.V. Lukyanov, N.V. Makhaldiani, T.I. Mikhailova, G.J. Musulmanbekov, A.V. Nechaevsky,
K. Oganesyan, G.A. Ososkov,
R.V. Polyakova,
B. Saha, I. Sarkhadov, N.Yu. Shirikova, A.G. Soloviev, T.M. Solovieva,
L.A. Siurakshina, A.V. Uzhinsky, A.V. Volokhova, O.O. Voskresenskaya,
A. Wojczechowski, R.M. Yamaleev, E.P. Yukalova, E.V. Zemlyanaya


VBLHEP
 S. Gevorkyan, M.N. Kapishin, A.O. Kechechyan, H.G. Khodzhibagiyan, A.D. Kovalenko, E.E. Perepelkin, O.V. Rogachevski, V. Zhezher


BLTP
 D. Blaschke, A.V. Friesen, M. Hnatic, E.M. Ilgenfritz, R.V. Jolos, V.K. Lukyanov, A.V. Sushkov, V.D. Toneev, V.I. Yukalov, V.Yu. Yushankhai


FLNR
 A.G. Artukh, B. Erdemchimeg, S.M. Lukyanov, Yu.E. Penionzhkevich, Yu.V. Pyatkov+1, Yu.M. Sereda, Yu.G. Sobolev


FLNP
 M.V. Frontasyaeva + 3, O.I. Ivankov, A.I. Kuklin, D.V. Soloviev


DLNP
 L.G. Afanasiev, S.N. Dolya, G.A. Karamysheva, I.N. Kiyan, V.A. Malinin, D.V. Popov

2.  Software complexes and
mathematical methods for processing and analysis of experimental data  P.V. Zrelov V.V. Ivanov 


LIT
 T.O. Ablyazimov, E.P. Akishina,
E.I. Aleksandrov, I.N. Aleksandrov, D.A. Baranov,
S. Belogurov, O.Yu. Derenovskaya, N.D. Dikoussar, I.A. Filozova, A.A. Kazakov,
A.I. Kazymov, P.I. Kisel, B.F. Kostenko, G.E. Kozlov,
L.Yu. Kruglova, A.A. Lebedev,
M.A. Mineev, E.V. Ovcharenko,
V.I. Palichik, R.V. Polozov, I. Satyshev, V.N. Shigaev,
S.K. Slepnev, A.G. Soloviev, T.M. Solovieva, A.N. Sosnin,
V.V. Uzhinsky, N.N. Voitishin, O.O. Voskresenskaya,
A.V. Yakovlev, E.V. Zemlyanaya, E.I. Zhabitskaya,
V.B. Zlokazov


VBLHEP
 P.N. Batyuk, B.V. Batyunya, Yu.V. Ershov, A.S. Galoyan, K.V. Gertsenberger, A.O. Golunov, I.A. Golutvin, N.V. Gorbunov, A.Yu. Kamenev, M.N. Kapishin,
V.Yu. Karzhavin, V.P. Ladygin, V.V. Lenivenko,
A.M. Makan'kin, A.I. Malakhov, S.P. Merts, S.A. Movchan, A.N. Morozov, V.V. Perelygin, Yu.P. Petukhov, O.V. Rogachevsky, M.M. Rumyantsev, M.G. Sapozhnikov,
V.N. Shchetinin, V.N. Spaskov, N.D. Topilin, S.E. Vasiliev, A.V. Zarubin


FLNR
 A. Fomichev, S. Belogurov, V. Chudoba, Yu.S. Tsyganov, V.K. Utenkov


FLNP
 A.M. Balagurov, A.V. Belushkin, I.A. Bobrikov, M.A. Kiselev, D.P. Kozlenko, S.A. Manoshin, Yu.N. Pepelyshev


DLNP
 I.V. Bednyakov, V.A. Bednyakov, I.A. Belolaptikov, V.B. Brudanin, A.G. Olshevsky, D.B. Pontecorvo, B.A. Shaibonov, L.G. Tkachev, A.S. Zhemchugov

3.  Numerical methods, algorithms and
software computationally adapted to multicore and hybrid architectures  Gh. Adam P.V. Zrelov O.I. Streltsova 


LIT
 E.I. Aleksandrov, A.S. Ayriyan, D.A. Baranov,
M.V. Bashashin, D.V. Belyakov, J. Busa, Yu.A. Butenko,
A.M. Chervyakov, O. Chuluunbaatar, H. Grigorian, A.A. Gusev, M. Kirakosyan, D.V.A. Luu, M.A. Matveev, S.V. Mitsyn, G.A. Ososkov,
D.V. Podgainy, T.P. Puzynina, V.S. Rikhvitsky,
A.A. Sapozhnikov, T.F. Sapozhnikova, N.R. Sarkar, S.I. Serdyukova, Z.A. Sharipov,
A.G. Soloviev, T.M. Solovieva, Sh. Torosyan, Z.K. Tukhliev,
A.V. Volokhova, O.I. Yuldashev,
M.B. Yuldasheva, T.N. Zaikina, E.V. Zemlyanaya, E.I. Zhabitskaya, M.I. Zuev


LITMICC
 V.V. Korenkov, V.V. Mitsyn, T.A. Strizh


FLNR
 N.Yu. Kazarinov, R.A. Rymzhanov, V.A. Skuratov


BLTP
 D.B. Blashke, S.N. Nedelko, Yu.V. Popov, Yu.M. Shukrinov, S.I. Vinitsky


VBLHEP
 A.V. Belyaev, A.Yu. Boytsov, E.E. Donets, I.V. Golutvin, V.A. Nikitin, O.V. Rogachevsky+2


DLNP
 G.A. Karamysheva, G.D. Shirkov, Yu.Yu. Stepanenko

4.  Methods, algorithms and software of computer algebra  V.P. Gerdt 


LIT
 V. Abgaryan, A.A. Bogolubskaya,
O. Chuluunbaatar, A.A. Gusev,
A.M. Khvedelidze, V.V. Kornyak, Yu. Palii, A.M. Raportirenko,
I.A. Rogozhin, O.V. Tarasov, A.G. Torosyan,
D.A. Yanovich


BLTP
 A.V. Czhizhov, P. Fiziev, D.I. Kazakov, V.S. Melezhik, A.I. Titov, S.I. Vinitsky

Collaboration 
Country or International Organization  City  Institute or Laboratory 
Armenia
 Yerevan
 Foundation ANSL



 IIAP NAS RA



 RAU



 YSU


Belarus
 Minsk
 IM NASB


 Gomel
 GSTU


Brazil
 Sao Carlos, SP
 IFSC USP


Bulgaria
 Sofia
 IMI BAS



 INRNE BAS



 SU


 Plovdiv
 PU


Canada
 Toronto
 IBM Lab


 Edmonton
 U of A


CERN
 Geneva
 CERN


China
 Nanning
 GUFN


Czech Republic
 Prague
 CTU


France
 Metz
 UPVM


Georgia
 Tbilisi
 GTU



 TSU



 UG


Germany
 Bonn
 UniBonn


 Darmstadt
 GSI


 Dresden
 IFW


 Frankfurt/Main
 Univ.


 Hamburg
 Univ.


 Kassel
 Uni Kassel


 Munich
 LMU


India
 Kolkata
 JU


Italy
 Bari
 UniBa


Japan
 Osaka
 Kansai Univ.


 Saitama
 SU


Kazakhstan
 Almaty
 INP


Lithuania
 Kaunas
 VMU


Moldova
 Chisinau
 MSU


Mongolia
 Ulaanbaatar
 IPT MAS



 NUM



 MUST


Poland
 Krakow
 NINP PAS


 Lublin
 UMCS


 OtwockSwierk
 NCBJ


 Warsaw
 WUT


 Wroclaw
 UW


Romania
 Bucharest
 IFA



 IFINHH



 ISS



 UB


 ClujNapoca
 INCDTIM


 Timi soara
 UVT


Russia
 Moscow
 GPI RAS



 ITEP



 JIHT RAS



 KIAM RAS



 MIET



 NIFHI



 NNRU "MEPhI"



 NRC KI



 PFUR



 RCC MSU



 SINP MSU


 Dolgoprudny
 MIPT


 Dubna
 Dubna State Univ.


 Gatchina
 NRC KI PNPI


 Perm
 PSNRU


 Protvino
 IHEP


 Puschino
 IMPB RAS



 IPR RAS


 Saratov
 SSU


 St. Petersburg
 NIIEFA


 Tomsk
 TSU


Saudi Arabia
 Tuval
 KAUST


Slovakia
 Kosce
 IEP SAS



 PJSU



 TUKE


 Banska Bistrica
 UMB


South Africa
 Cape Town
 UCT


 Stellenbosch
 SU


Switzerland
 Zurich
 ETH


Tajikistan
 Dushanbe
 PHTI ASRT



 TNU


 Khujent
 KSU


United Kingdom
 Bath
 UB


 London
 Imperial College


USA
 Cambridge, MA
 MIT


 Davis, CA
 UCDavis


 Durham, NC
 NCCU


 Los Alamos, NM
 LANL


Vietnam
 Hanoi
 VNU


