MATHEMATICAL MODELING AND COMPUTATIONAL PHYSICS Book of abstracts of the ...

145 Pages·2017·2.01 MB·English

International Conference on
Mathematical Modeling and
Computational Physics

MMCP’2017

Book of abstracts

3–7 July, 2017
Dubna, Russia
Joint Institute for Nuclear Research
Laboratory of Information Technology

MATHEMATICAL MODELING
AND COMPUTATIONAL PHYSICS

Book of abstracts of the International Conference

Dubna, July 3–7, 2017

МАТЕМАТИЧЕСКОЕ МОДЕЛИРОВАНИЕ
И ВЫЧИСЛИТЕЛЬНАЯ ФИЗИКА

Тезисы докладов международной конференции

Дубна, 3–7 июля, 2017

Dubna • 2017
УДК[519.6+51-7]
ББК[22.193+ 22.18]
М39

Organized by:
The Joint Institute for Nuclear Research
Laboratory of Information Technologies,
The Horia Hulubei National Institute for R&D in Physics
and Nuclear Engineering (IFIN-HH), Bucharest, Romania,
The Institute of Experimental Physics, Slovak Academy of Sciences,
Košice, Slovakia, The Technical University, Košice, Slovakia,
and the Pavol Jozef Šafárik University, Košice, Slovakia

The contributions are reproduced directly from the originals presented
by the Organizing Committee.

Mathematical Modeling and Computational Physics (MMCP’2017): Book of Abstracts
of the International Conference (Dubna, 3–7 July, 2017). — Dubna: JINR, 2017. — 158 p.
ISBN 978-5-9530-0473-2
The book contains the abstracts of the reports submitted to the International Conference
“Mathematical Modeling and Computational Physics” (MMCP’2017).
Full texts of the reports approved by the MMCP’2017 Advisory Committee will be
published separately.

Математическое моделирование и вычислительная физика (MMCP’2017):
Тезисы докладов международной конференции (Дубна, 3–7 июля 2017 г.). —
Дубна: ОИЯИ, 2017. — 158 с.
ISBN 978-5-9530-0473-2
В сборник включены аннотации докладов, представленных на международную
конференцию «Математическое моделирование и вычислительная физика» (MMCP’2017).
Полные тексты докладов, отобранные программным комитетом, будут
опубликованы отдельно.

УДК[519.6+51-7]
ББК[22.193+ 22.18]

© Joint Institute for Nuclear
ISBN 978-5-9530-0473-2 research, 2017
The Conference follows the rich traditions of the previous conferences on
mathematical modeling, numerical methods and computational physics which started in
Dubna, Russia, in 1964, e.g., “Computational Modeling and Computing in
Physics” (1996), “Modern Trends in Computational Physics” (1998), V International
Congress on Mathematical Modeling (2002), “Mathematical Modeling and Computational
Physics” 2006 (in Slovakia), 2009 (in Dubna), 2011 (in Slovakia), 2013 (in Dubna) and
2015 (in Slovakia).
The book is organized in three main parts: plenary lectures, contributed
communications, and posters. The contributed communications are split into several
sections covering respectively distributed and parallel computing in science and
technology, mathematical methods and application software for modeling complex
systems, bioinformatics and computational biophysics, mathematical methods and
software for experimental data processing, computer algebra, and quantum computing
with applications.

Конференция продолжает богатые традиции предыдущих конференций по
математическому моделированию, численным методам и вычислительной физике,
которые проводились в Дубне еще с 1964 года; например, «Численное
моделирование и вычислительная физика» (1996), «Современные тенденции
вычислительной физики» (1998), V Международный конгресс по математическому
моделированию (2002), «Математическое моделирование и вычислительная
физика» 2006 (Словакия), 2009 (Дубна), 2011 (Словакия), 2013 (Дубна) и
2015 (Словакия).
Сборник содержит аннотации пленарных лекций, секционных и постерных
докладов. Предоставленные доклады охватывают широкий спектр задач в области
математического моделирования сложных физических и технических систем,
биоинформатики и вычислительной биофизики, распределенных и параллельных
вычислений, обработки экспериментальных данных, компьютерной алгебры и
квантовых вычислений.
Organizing Committee
Korenkov V.V. – Chairman
Adam Gh. – Vice-Chairman
Hnatich M. – Vice-Chairman
Podgainy D.V. – Scientific Secretary

Adam S., Ayriyan A.S., Aristarkhova M.V., Busa J., Derenovskaya O.Yu., Grigoryan H.,
Katraseva T.I., Rudneva E.M., Rumyantseva O.Yu., Streltsova O.I., Strizh T.A., Torosyan A.G.,
Torosyan Sh.G., Vorontsov A.S., Zaikina A.G., Zaikina T.N., Zrelov P.V., Zuev M.I.

International Program Committee
Gh. Adam (JINR), Chao-Ming Fu (Taiwan), N.Z. Akopov (Armenia), E.A. Ayryan (JINR),
O.V. Belov (JINR), A.V. Bogdanov (Russia), S. Budnyam (Mongolia), J. Busa (TU, Kosice,
Slovakia), B.N. Chetverushkin (Russia), S. Dimova (Bulgaria), M. Dulea (Romania),
Yu.G. Evtushenko (Russia),V. Friese (Germany), V. Gerdt (JINR), U.H.E. Hansmann (USA),
J. Honkonen (Finland), Ch.-K. Hu (Taiwan), S. Incerti (France), A. Isar (Romania),
V.V. Ivanov (JINR), F. Jakab (Slovakia), I. Kisel (Germany), N. Kolkovska (Bulgaria),
P. Kopčanský (Slovakia), N.A. Kudryashov (Russia), V.D. Lakhno (Russia), R. Lazarov (USA),
I.V. Puzynin (JINR), S.V. Polyakov (Russia), G.Yu. Riznichenko (Russia), H. Safouhi (Canada),
S. Scott (North Ireland), G. Semanisin (Slovakia), L.A. Sevastianov (Russia), T.A. Strizh (JINR),
P.N. Vabishchevich (Russia), V.V. Voevodin (Russia), T. Zhanlav (Mongolia), P. Zinterhof (Austria),
P.V. Zrelov (JINR)
Contents

Plenary session

Chetverushkin B.N.
Solution of magnetogasdynamics problems with the help of high performance computer
systems .................................................................................................................................. 17
Honkonen J.
Fractional stochastic field theory .......................................................................................... 17
Kudryashov N.
Higher-order partial differential equations for description of the Fermi-Pasta-Ulam and
the Kontorova-Frenkel models .............................................................................................. 17
Lazarov R., Jin B., Zhou Z.
Petrov-Galerkin finite element method for fractional advection-dispersion equations ......... 19
Semanišin G., Galčík F., Katrenič J.
On the load balancing problem ............................................................................................. 19
Adam Gh., Adam S.
Disentangling complexity in Bayesian automatic adaptive quadrature ................................ 20
Zavodinsky V., Gorkusha O.
A new orbital free simulation method based on the density functional theory ..................... 21
Tsyganov Yu.
An attempt to build a smart real-time system for heavy element research: approaches,
mathematical objects, algorithms, equations......................................................................... 21
Polyakov S., Podryga V.
Multiscale multilevel approach to solution of nanotechnology problems ............................ 22
Surzhykov A., Artemyev A.
Computational methods in relativistic atomic physics .......................................................... 23
Belostotsky A., Akimov P., Afanasyeva I.
Contemporary problems of numerical modeling of unique structures, buildings and
complexes .............................................................................................................................. 23
Melezhik V.S.
Matematical modeling of resonant processes in confined geometry of atomic and
atom-ion traps ....................................................................................................................... 24
Kisel I.
Online event reconstruction in the CBM experiment at FAIR .............................................. 25
Dikusar N.
Shape approximation based on higher-degree polynomials .................................................. 25
Safouhi H., Slevinsky R.
Generalized techniques in numerical integration .................................................................. 26
Lakhno V.
Dynamical and thermodynamic electronic properties of DNA ............................................. 26
Riznichenko G.
Kinetic, Monte-Carlo and multiparticle models of the processes in photosynthetic
membrane .............................................................................................................................. 27
Ustinin M., Rykunov S.
Precise frequency-pattern analysis reveals the functional structure of complex systems ..... 28
Cannistraci C.
Machine learning and complex networks for precision and systems biomedicine ............... 29
Shirmovsky S.
Quantum dynamics of a hole migration through DNA ......................................................... 30
Incerti S.
Monte Carlo simulation of early biological damage induced by ionizing radiation at
the DNA scale: overview of the Geant4-DNA project ......................................................... 30
5
Carloni P.
Multiscale simulations of targets for pharmacological relevance ......................................... 31
Isar A.
Dynamics of quantum correlations in bipartite Gaussian open quantum systems ................ 32
Gerdt V., Lyakhov D., Michels D., Weber A.
Partial analytical integration of stiff nonlinear Cosserat partial differential equations and
its application to simulation of slender structures ................................................................. 32
Shapeev V.
New possibilities and applications of the method of collocations and the least residuals .... 33
Kornyak V.
Modeling quantum behavior in the framework of permutation groups ................................ 33
Fel’dman E.
Quantum correlations in bipartite systems ............................................................................ 34
Edneral V.
Usage power geometry and normal form methods in simulation of degenerated
nonlinear ODEs study ........................................................................................................... 35

Modeling of physical processes and computational methods

Ayryan E., Egorov A., Kulyabov D., Malyutin V., Sevastyanov L.
Functional integral approach to system of stochastic differential equations ......................... 39
Chuluunbaatar O., Kouzakov K.A., Galstyan A.G., Popov Yu.V., Schӧffler M.S.
Fully differential cross sections for single ionizing 1-MeV p+He collisions at small
momentum transfer ............................................................................................................... 40
Deveikis A.
Application of harmonic oscillator basis with different size parameters for
calculation of ground state energy of Coulomb three-body systems .................................... 40
Hnatič M., Khmara V.M., Lazur V.Yu., Reity O.K.
Quasicrossings of the energy terms in the two-Coulomb-centre problem ............................ 41
Honkonen I., Honkonen J.
Modeling turbulence via numerical functional integration ................................................... 42
Ishmukhamedov I., Melezhik V.
Finite-difference splitting scheme for three-dimensional Schroedinger equation,
describing tunneling from anharmonic atomic traps ............................................................. 42
Kačala V., Török C.
Optimal approximation of biquartic polynomials by bicubic splines ................................... 43
Kazakov D., Nikonov E.
Mechanism of controlling the process of the convergence of the Newton iteration
method ................................................................................................................................... 43
Khruschev S., Plyusnina T.
Spectral multi exponential approximation as a robust tool for analysis of complex
systems .................................................................................................................................. 44
Kostenko B.
Modeling the quarks’ helicity flipping stimulated by their confinement potential ............... 45
Kryanev A., Ivanov V., Sevastianov L., Udumyan D.
Extrapolation of functions of many variables by means of metric analysis .......................... 46
Kulikov K., Shukrinov Yu., Nashaat M., Dawood R., El Samman H., El Sherbini Th.
Modelling of the high temperature superconductors at nonequilibrium conditions .............. 46
Kutukov A.
Numerical modelling of normal and superconducting properties of the doped graphane .... 47
Lyubin P., Schetinin E.
Asymptotics for penalized splines ........................................................................................ 47

6
Mikheyev S.A., Tsvetkov V.P.
Minimum period of rotation of millisecond pulsars and equations of pulsar matter state .... 48
Molchanov D., Zaichenko V., Sokotushchenko V., Torchinsky V.
The calculation of multicomponent mixture phase diagram, using the equations of
state of the van der Waals type ............................................................................................. 48
Naumenko M., Samarin V.
Parallel implementation of numerical solution of few-body problem using Feynman’s
continual integrals ................................................................................................................. 49
Nikonov E., Pavluš M., Popovičová M.
Molecular dynamic simulation of water vapor interaction with blind pore of dead-end
and saccate type .................................................................................................................... 50
Panin A., Lukyanenko D., Korpusov M.
Joint analytical and numerical investigation of blow-up in some mathematical models ...... 50
Perepelkin E., Polyakova R., Kovalenko A., Sadovnikova M., Sysoev P., Tarelkin A.,
Yudin I.
The boundary value problem for elliptic equation in the corner domain in the numerical
simulation of magnetic systems ............................................................................................ 51
Perepelkin E., Tarelkin A.
Estimation of magnetic field growth and construction of adaptive mesh in corner domain
for magnetostatic problem in 3-dimensional space ............................................................... 51
Perepelkin E., Suchkov D.
Investigation of the entropy of a system of many particles with gravitational interaction ... 52
Potashov I.M., Tsirulev A.N.
A computational algorithm for covariant series expansions in general relativity ................. 52
Rybakov Yu.P., Semenova N.V.
Generalized Darcy’s law in filtration theory ......................................................................... 53
Serov V.
Algorithm for the orthogonal fast discrete spherical Bessel transform on a uniform grid .... 53
Tolstov I., Freinkman B., Polyakov S.
Variational solution of the Schrödinger equation in an inhomogeneous central field as
applied to emission problems ................................................................................................ 54
Vasilchenko A., Kopytov G.
Ground state of the electron-hole liquid in quantum wells ................................................... 54
Volokhova A.V., Zemlyanaya E.V., Lakhno V.D., Amirkhanov I.V., Bashashin M.V.,
Puzynin I.V., Puzynina T.P.
Numerical simulation of the hydrated electron states formation .......................................... 55
Yanovich L.A., Ignatenko M.V.
On interpolational approximation of nonlinear differential operators of the second order
in partial derivatives .............................................................................................................. 55

Mathematical methods for complex systems

Anghel D.V., Nemnes G.A.
Beyond the phenomenology of the BCS model .................................................................... 59
Bekzhanov A., Bondarenko S., Burov V.
Elastic form factors from separable kernel ........................................................................... 59
Birnsteinova S., Mizisin L., Lucivjansky T., Hnatič M.
Percolation process in the presence of velocity fluctuations: two-loop approximation ........ 59
Bogolubsky I., Bogolubskaya A.
Lattice study of effective gluon mass at various boundary conditions ................................. 60
Egorov A.
Approximate formulae for evaluation of expectations of random functionals based on
chaotic development with respect to multiple Ito integrals ................................................... 60
7
Hnatič M., Kalagov G., Nalimov M.
Turbulent mixing of a critical fluid: the exact renormalization ............................................ 61
Makhaldiani N.
Renormdynamics (RD) and Generalized Analytic Functions (GAF) ................................... 62
Menkyna M., Jurčišin M., Jurčišinová E.
Anomalous scaling in compressible Kazantsev-Kraichnan model with spatial parity
violation ................................................................................................................................ 62
Mizisin L., Lucivjansky T., Hnatič M., Adzhemyan L.T., Kompaniets M.V.
The numerical evaluation of universal quantities of directed bond percolation: three-loop
approximation ....................................................................................................................... 63
Parvan A.
Finite size effects in the thermodynamics of a free neutral scalar field on the lattice and
in the continuum .................................................................................................................... 63
Postnov S.
Comparison of optimal control properties for linear fractional-order systems described by
equations with different type of fractional derivative ........................................................... 64
Saha B.
Nonlinear spinor field in non-diagonal Bianchi type space-time .......................................... 64
Sinelshchikov D.
On the generalized Sundman transformations and integrable Liénard-type equations ......... 65

Distributed and parallel computing and tools for scientific
computing

Adam Gh., Belyakov D.V., Vala M., Zrelov P.V., Korenkov V.V., Matveyev M.A.,
Podgainy D.V., Streltsova O.I.
New HybriLIT cluster module devoted to graphical applications ........................................ 69
Alexandrov E.I., Bashashin M.V., Belyakov D.V., Podgainy D.V.,
Streltsova O.I., Zuev M.I.
Tests of different MPI implementations in HPC/KVM cluster ............................................. 69
Bashashin M.V., Zemlyanaya E.V., Sapozhnikova T.P., Kiselev M.A.
Analysis of polydispersed vesicular systems structure: parallel implementation of
the separated form-factors method ........................................................................................ 70
Butenko Yu., Streltsova O., Streltsov A.
Machine-learning algorithms for classification and separation of noisy signals .................. 71
Davitashvili T., Modebadze Z., Jiadze N.
Showers simulation study over Caucasus region by WRF model based on Grid
computing .............................................................................................................................. 71
Dikusar V., Olenev N., Wojtowicz M.
Parallel calculations in optimal control problem ................................................................... 72
Dubenskaya Y., Kryukov A., Demichev A.
Web platform for sharing modeling software in the field of nonlinear optics ...................... 72
Gertsenberger K.
Mock Data Challenge for the MPD/NICA experiment on the HybriLIT cluster .................. 73
Kashansky V., Kaftannikov I.
Application of SLURM, BOINC and GlusterFS as software complex for sustainable
modeling and data analytics .................................................................................................. 74
Kirilyuk I., Kuznetsova A., Senko O.
Application of methods of machine learning and data mining to problems of institutional
economics .............................................................................................................................. 74
Kryukov A., Korosteleva E.
Astroparticle data life cycle initiative ................................................................................... 75
8
Kulabukhova N.
Analisys of the distribution of the beam in particle accelerators .......................................... 75
Lebedev A., Manafov A.
DDS – The Dynamic Deployment System ........................................................................... 75
Markizov S., Puzyrkov D., Polyakov S., Podryga V.
Concept of a cloud service for data preparation and computational control on custom
HPC systems in application to molecular dynamics ............................................................. 76
Mayorov A., Vala M.
Web service for analysis of experimental data on HPC platforms using package ROOT .... 77
Nagy J., Farcas F., Albert S., Trusca R.
RO-14-ITIM, upgrades for a diskless site ............................................................................. 77
Ososkov G., Goncharov P.
Image classification by shallow and deep neural networks .................................................. 78
Polyakov S., Kryukov A., Demichev A.
Computer modeling of a dispersed storage system for private data on public resources in
P2P networks for determining the optimal values of its parameters ..................................... 78
Popov I., Soukov S.
Modification of adaptive artificial viscosity for solution of gasdynamic problems on
parallel computer systems ..................................................................................................... 79

Mathematical methods and software for experimental data
processing

Ablyazimov T., Friese V., Ivanov V.
Time-based global track reconstruction in the CBM experiment ......................................... 83
Akishina V., Kisel I., Zyzak M., Vassiliev I.
4-dimensional reconstruction of time-slices ......................................................................... 83
Derenovskaya O., Ablyazimov T., Ivanov V.
J/ψ→e+e− decays selection criteria with TRD in CBM experiment ...................................... 84
Fedorišin J.
Global alignment of BM@N drift chambers ......................................................................... 84
Gabdrakhmanov I.
BM@N online monitoring .................................................................................................... 84
Galoyan A., Uzhinsky V., Ribon A.
Simulation of anti-matter–matter interactions in GEANT4 .................................................. 85
Kisel I., Kisel P., Zyzak M., Vassiliev I., Senger P.
Strange particles reconstruction by the missing mass method .............................................. 85
Kozlov G., Kisel I.
Speed up approaches in the Cellular Automaton track finder ............................................... 86
Lenivenko V.
Study of the GEM detector performance in BM@N experiment.......................................... 86
Nguyen M.D.
A scientific workflow system for satellite data processing with real-time monitoring ......... 87
Paraipan M., Baldin A., Baldina E., Tyutyunnikov S.
Light ion beams for energy production in accelerator driven systems .................................. 87
Pepelyshev Yu., Popov A., Davaasuren S.
Stability analysis of the IBR-2M pulsed reactor in an automatic regulated regime at the
different level of average power ........................................................................................... 88
Soloviev A., Kuklin A., Ivankov O., Kutuzov S.
Primary data treatment software for position-sensitive detector of small-angle neutron
scattering spectrometer in isotropic pattern scattering case .................................................. 88

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