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, 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 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 main results in 2018:
 Numerical investigation of the hydrodynamical equations for dense nuclear matter at NICA energies: onedimensional hydrodynamics (Glauber model and Bjorken scenario); the 3fluid
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.
Threedimensional 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 longlived 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 BelousovZhabotinsky 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 SmithGarren curves. Mathematical modeling of operating modes for multipurpose isochronous cyclotrons: AIC144 (Krakow, Poland) and DC280 (Dubna, Russia).
Development and maintenance of the primary data processing program "SAS" for the YuMO spectrometer at IBR2M. 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 antiprotonproton and antiprotonnucleus 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 heavyion 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 zipcbased 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 shortlived 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 CERNGIF++.
Investigation of the structure and properties of phospholipid based polydisperse nanosystems from smallangle scattering data analysis.
Basic element method based processing of the neutron noise of the reactor IBR2M.
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 IBR2M aimed at the study of the temporal evolution
of the phase composition of polycrystals.
Development of software for automatic calibration of multidetection 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 4Dreconstruction 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 "CATIAGDML Geometry Builder" software to automatic design of largescale experimental facilities in the environment ROOT / GEANT4based 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 componentwise 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 informationcomputing environment of the heterogeneous cluster HybriLIT including the setup and maintenance of specialized libraries.
Computer simulation of complex processes in multiparameter 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 hpadaptive projectionelement methods with discontinuous bases.
Testing and validation of different modules of Comsol Multiphysics® package on the cluster HybriLIT and their adaptation for solving engineeringphysical problems in JINR laboratories
(superconducting magnet SC202DLNP, modules of the new FLNR accelerator).
Implementation of parallel algorithms for the numerical solution of the BoltzmannPoisson 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 threedimensional and parametric twodimensional 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 oneloop 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 polynomialnonlinear systems of difference equations. Algorithmic test of the linearizability and equivalence for ordinary differential equations.
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, P.G. Akishin, I.V. Amirkhanov,
E.A. Ayrjan, A.S. Àyriyan, I.V. Barashenkov,
M.V. Bashashin, I.L. Bogolubsky, N.D. Dikoussar,
H. Grigorian, Yu.L. Kalinovsky, T.V. Karamysheva,
K.V. Lukyanov,
N.V. Makhaldiani, T.I. Mikhailova, G.J. Musulmanbekov,
E.G. Nikonov, K. Oganesyan, G.A. Ososkov,
R.V. Polyakova, T.P. Puzynina,
B. Saha, N.R. Sarkar, I. Sarkhadov, Z.A. Sharipov, A.G. Soloviev, T.M. Solovieva,
O.I. Streltsova, L.A. Siurakshina, Z.K. Tukhliev, A.V. Volokhova, O.O. Voskresenskaya,
A. Wojczechowski, R.M. Yamaleev, E.P. Yukalova, E.V. Zemlyanaya


VBLHEP
 E.E. Donets, S. Gevorkyan, M.N. Kapishin, A.O. Kechechyan, H.G. Khodzhibagiyan, V.A. Nikitin, O.V. Rogachevski, W. Scheinast


BLTP
 A.V. Friesen, M. Hnatic, E.M. Ilgenfritz, N.I. Kochelev, V.K. Lukyanov, S.N. Nedelko, O.V. Teryaev, V.D. Toneev, S.I. Vinitsky, V.I. Yukalov, V.Yu. Yushankhai


FLNR
 A.G. Artukh, B. Erdemchimeg, S.M. Lukyanov, Yu.E. Penionzhkevich, R.A. Rymzhanov, Yu.M. Sereda, V.A. Skuratov, Yu.G. Sobolev


FLNP
 A.I. Kuklin, A.I. Ivankov, D.V. Soloviev


DLNP
 L.G. Afanasiev, 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, V.P. Akishina,
E.I. Aleksandrov, I.N. Aleksandrov, D.A. Baranov,
S. Belogurov, O.Yu. Derenovskaya, N.D. Dikoussar, A.A. Kazakov,
A.I. Kazymov, P.I. Kisel, B.F. Kostenko, G.E. Kozlov,
L.Yu. Kruglova, A.A. Lebedev,
M.A. Mineev, G.A. Ososkov, E.V. Ovcharenko,
V.I. Palichik, V.S. Rikhvitsky, V.N. Shigaev,
N.Yu. Shirikova, S.K. Slepnev, A.G. Soloviev, T.M. Solovieva, A.N. Sosnin,
V.V. Uzhinsky, N.N. Voitishin,
A.V. Yakovlev, E.V. Zemlyanaya, E.I. Zhabitskaya,
V.B. Zlokazov


VBLHEP
 B.V. Batyunya, A.S. Galoyan, K.V. Gertsenberger, M.N. Kapishin, V.P. Ladygin, V. Lenivenko, A.I. Malakhov, S.A. Movchan, O.V. Rogachevsky, M.G. Sapozhnikov, N.D. Topilin


FLNR
 Yu.E. Penionzhkevich, 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. Àyriyan,
E.A. Ayrjan, M.V. Bashashin, D.V. Belyakov, J. Bu?a,
A.M. Chervyakov, O. Chuluunbaatar, A.A. Gusev, M. Kirakosyan, M.A. Matveev,
D.V. Podgainy,
A.A. Sapozhnikov, T.F. Sapozhnikova, S.I. Serdyukova,
A.G. Soloviev, T.M. Solovieva, Sh. Torosyan,
A.V. Volokhova, O.I. Yuldashev,
M.B. Yuldasheva, E.V. Zemlyanaya, E.I. Zhabitskaya, M.I. Zuev


FLNR
 S.V. Bogomolov, B.N. Gikal, G.G. Gulbekian, N.Yu. Kazarinov


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


DLNP
 G.A. Karamysheva, O.V. Karamyshev, I.N. Kyan, N.A. Morozov, G.D. Shirkov

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, A.I. Titov, S.I. Vinitsky

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



 IIAP NAS RA



 RAU



 YSU


Australia
 Canberra
 ANU


Austria
 Linz
 JKU


Belarus
 Minsk
 IM NASB



 BSTU


Brazil
 Sao Carlos, SP
 IFSC USP


Bulgaria
 Sofia
 IMI BAS



 INRNE BAS



 SU


 Plovdiv
 PU


Canada
 Toronto
 IBM Lab


 Edmonton
 U of A


 Hamilton
 McMaster


CERN
 Geneva
 CERN


China
 Nanning
 GUFN


Czech Republic
 Prague
 CTU


France
 Marseille
 IM2NP


 Metz
 UPVM


Georgia
 Tbilisi
 GTU



 TSU



 UG


Germany
 Bonn
 UniBonn


 Darmstadt
 GSI


 Dresden
 IFW



 MPI PkS


 Frankfurt/Main
 Univ.


 Hamburg
 Univ.


 Julich
 IKP


 Kassel
 Uni Kassel


 Munich
 LMU


India
 Calcutta
 GCECT



 JU


 Shibpur
 IIEST Shibpur


Italy
 Bari
 UniBa


 Catania
 INFN LNS


Kazakhstan
 Almaty
 INP


Mexico
 San Luis Potosi
 UASLP


Mongolia
 Ulaanbaatar
 MUST



 NUM


Poland
 Krakow
 NINP PAS


 Lublin
 UMCS


 OtwockSwierk
 NCBJ


 Warsaw
 WUT


 Wroclaw
 UW


Romania
 Bucharest
 IFA



 IFINHH



 ISS



 UB


 ClujNapoca
 INCDTIM


Russia
 Moscow
 GPI RAS



 ITEP



 KIAM RAS



 MIET



 NNRU "MEPhI"



 NRC KI



 PFUR



 RCC MSU



 SINP MSU



 PFUR


 Dubna
 Dubna Univ.


 Protvino
 IHEP


 Puschino
 IMPB RAS


 Samara
 SSU


 Saratov
 SSU


 St. Petersburg
 ITMO



 NIIEFA


 Tomsk
 TSU


Saudi Arabia
 Tuval
 KAUST


Slovakia
 Kosice
 IEP SAS



 PJSU



 TUKE



 PJSU


 Presov
 PU


 Banska Bistrica
 UMB


South Africa
 Cape Town
 UCT


 Stellenbosch
 SU


Switzerland
 Zurich
 ETH


Taiwan
 Taipei
 AS


Tajikistan
 Dushanbe
 TNU



 PHTI ASRT


 Khujent
 KSU


United Kingdom
 Bath
 UB


USA
 Lawrence, KS
 KU


 Los Alamos, NM
 LANL


Vietnam
 Hanoi
 VNU


