Alexander Tsirulev
(Tver State University)

7/4/17, 1:30 PM

We present a new algorithm for computing covariant power expansions of tensor fields in generalized Riemannian normal coordinates introduced in some neighborhood of a parallelized k-dimensional embedded submanifold the case corresponds to a point. The algorithm is applicable for nonmetric connections, possibly with the torsion. The power series coefficients of an arbitrary real analytic...

Dr
Sergey Mikheev
(Tver State University)

7/4/17, 1:45 PM

The astrophysical data is indicative of the presence of a minimum period of rotation of millisecond pulsars. Now this period is 1.396648 ms.At that, the indicated value is reached long before pulsar destruction under the influence of centrifugal forces. This phenomenon is easily explained by the fast growth of angular momentum losses near the bifurcation point of pulsar configuration due to...

Dr
Csaba Török
(Institute of Computer Science, Faculty of Sciencie, Pavol Jozef Safarik University in Kosice)

7/4/17, 2:00 PM

Recently an unexpected approximation property between polynomials of degree three and four was revealed within a framework of two-part approximation models in 2-norm, Chebyshev norm and Holladay semi-norm.
Namely, it was proved that if a two-component cubic Hermite spline’s first derivative at the shared knot is computed from the first derivative of a quartic polynomial, then the spline is a...

Dr
Vladislav Serov
(Saratov State University)

7/4/17, 2:15 PM

We propose an algorithm for the orthogonal fast discrete spherical Bessel transform on a uniform grid. Our approach is based upon the spherical Bessel transform factorization into the two subsequent orthogonal transforms, namely the fast Fourier transform and the orthogonal transform founded on the derivatives of the discrete Legendre orthogonal polynomials. The method utility is illustrated...

Dr
Alexander Vasilchenko
(Kuban State Technological University, Krasnodar, Russia)

7/4/17, 2:30 PM

The study of the properties of electron-hole systems is one of the rapidly developing areas of modern condensed matter phys-ics. At present, most attention is paid to low-dimensional elec-tron-hole systems, in which the role of the Coulomb interaction increases. Recently, electron-hole liquid (EHL) was found in SiO2/Si/SiO2 quantum wells [1] and in Si/Si1–xGex/Si het-erostructures [2].
The...

Dr
Alexander Panin
(Lomonosov MSU, faculty of physics, chair of mathematics)

7/4/17, 2:45 PM

In some models (for example, in plasma physics and semiconductor physics), the blow-up phenomenon occurs, i. e. the solution's norm tends to infinity as time tends to a finite moment. There exist some methods to detect blow-up analytically: Pokhozhaev and Mitidieri's test function method, Levine's method, and Samarskii and Galaktionov's similarity solutions method. These methods typically...

Mr
Dmitry Molchanov
(JIHT RAS)

7/4/17, 3:30 PM

Hydrocarbon mixtures ﬁltration process simulation development has resulted in use of cubic equations of state of the van der Waals type to describe the thermodynamic properties of natural ﬂuids under real thermobaric conditions [1]. Two- and three-component hydrocarbon systems allow to simulate the ﬂuids of diﬀerent types of reservoirs qualitatively, what makes it possible to carry out the...

Dr
Eugeny Schetinin
(MSUT "STANKIN"), Mr
Pavel Lyubin
(MSUT "STANKIN")

7/4/17, 3:45 PM

Algorithmic complexity is a very important topic in computer science. Knowing the complexity of algorithms allows you to answer questions such as "How long will a program run on an input?", "How much space will it take?" and "Is the problem solvable?". These are important bases of comparison between different algorithms. An understanding of algorithmic complexity provides programmers with...

Mr
Ilya Tolstov
(Keldysh Institute of Applied Mathematics)

7/4/17, 4:00 PM

The present work is devoted to the supercomputer modelling of the emission processes from the surface of nanostructures that are perspective for modern applications. Within the subject emission processes from single-wall nanotubes with diameters of nanometre range are of particular interest. These devices can be successfully used in nanolithography and non-destructive sounding of...

Dr
Ochbadrakh Chuluunbaatar
(LIT JINR)

7/4/17, 4:15 PM

We present ultrahigh resolution data on single ionization of helium under impact of 1-MeV protons in comparison with theoretical calculations. Good agreement between theory and experiment is obtained. Three initial trial helium wave functions are employed: a weakly correlated Roothaan-Hartree-Fock function, a simple Silverman-Platas-Matsen function of the configuration interaction family, and...

Olga Druzhinina
(Federal Research Center «Computer Science and Control» of RAS and V.A. Trapeznikov Institute of Control Sciences of RAS)

7/4/17, 4:30 PM

The modern approaches to the nonlinear stochastic models synthesis, stability analysis and verification are characterized in the current work. One of the approaches is related to the self-consistent stochastic models constructing technique. Based on this technique, the interaction schemes are constructed that includes the symbolic record of the possible interactions between the system...

Prof.
Andrey SURZHYKOV
(Physikalisch-Technische Bundesanstalt, Braunschweig, Germany)

7/4/17, 4:45 PM

Owing to recent advances in accelerator and storage ring techniques, more possibilities arise to study formation of quasi-molecules in slow heavy-ion collisions. Today, these (quasi) molecules are believed to be a versatile tool for investigating a number of fundamental problems in modern physics. In particular, analysis of molecular spectra can provide unique knowledge on the relativistic,...