Most viewed papers

481. Yakushevich L.V., Ryasik A.A.
     Dynamical characteristics of DNA kinks and antikinks
     Computer Research and Modeling, 2012, v. 4, no. 1, pp. 209-217

     In this article in the frameworks of the sine-Gordon mode we have calculated the dynamical characteristics of kinks and antikinks activated in the homogeneous polynucleotide chains each if them contains only one of the types of the bases: adenines, thymines, guanines or cytosines. We have obtained analytical formulas and constructed the graphs for the kink and antikink profiles and for their energy density in the 2D- and 3D-dimension. Mass of kinks and antikinks, their energy of rest and their size have been estimated. The trajectories of kink and antikink motion in the phase space have been calculated in the 2D- and 3D-dimension.

     Keywords: mathematical modeling, sine-Gordon equation, DNA-mobility, biophysics.
     Views (last year): 2. Citations: 7 (RSCI).
482. Solovyov S.A., Rose J., Dzyublyk I.V., Trokhimenko E.P.
     Predictive models of efficacy and public health impact of vaccination with rotavirus vaccine in Ukraine
     Computer Research and Modeling, 2012, v. 4, no. 2, pp. 407-421

     There were presented the results of the computational and theoretical studies related to assessing of an efficacy and public health impact of a vaccination with a rotavirus vaccine in Ukraine. The required indicators are: the genotype-specific vaccine efficacy, number of the severe illness preventions, hospitalizations, outpatient visits and deaths. The results were obtained in a form of tree of decisions based on Makrov model by using mathematical model with computer simulation. The results showed the significant positive effect of the vaccination compared to no vaccination, in case of high level of vaccine coverage in Ukraine.

     Keywords: rotavirus, rotavirus vaccine, vaccination, decision tree, Markov model.
     Views (last year): 2.
483. Zubanov A.M., Kutruhin N.N., Shirkov P.D.
     Constructing of linearly implicit schemes which are LN-equivalent to implicit Runge–Kutta methods
     Computer Research and Modeling, 2012, v. 4, no. 3, pp. 483-496

     New family of linearly implicit schemes are presented. This family allows to obtain methods which are equivalent to stiffly accurate implicit Runge–Kutta schemes (such as RadauIIA and LobattoIIIC) on nonautonomous linear problems. Notion of LN-equivalence of schemes is introduced. Order conditions and stability conditions of such methods are obtained with the use of media for computer symbolic calculations. Some examples of new schemes have been constructed. Numerical studying of new method have been done with the use of classical tests for stiff problems.

     Keywords: stiff systems of ordinary differential equations, stiffly accurate Runge–Kutta methods and Rosenbrock schemes, stability and L-equivalence.
     Views (last year): 2. Citations: 2 (RSCI).
484. Kovtanyuk A.E.
     Algorithms of parallel computing for radiative-conductive heat transfer problems
     Computer Research and Modeling, 2012, v. 4, no. 3, pp. 543-552

     The problems of radiative-conductive heat transfer in the scattering layer are considered. They consist in finding the temperature profile and improving the heat transfer from boundaries. For their solution the Monte Carlo method is used. The different approaches of parallelization of proposed algorithm are analyzed.

     Keywords: radiative heat transfer, conductive heat transfer, Monte Carlo method.
     Views (last year): 2. Citations: 5 (RSCI).
485. Manicheva S.V., Chernov I.A.
     Mathematical model of hydride phase change in a symmetrical powder particle
     Computer Research and Modeling, 2012, v. 4, no. 3, pp. 569-584

     In the paper we construct the model of phase change. Process of hydriding / dehydriding is taken as an example. A single powder particle is considered under the assumption about its symmetry. A ball, a cylinder, and a flat plate are examples of such symmetrical shapes. The model desribes both the "shrinking core"(when the skin of the new phase appears on the surface of the particle) and the "nucleation and growth"(when the skin does not appear till complete vanishing of the old phase) scenarios. The model is the non-classical boundary-value problem with the free boundary and nonlinear Neumann boundary condition. The symmetry assumptions allow to reduce the problem to the single spatial variable. The model was tested on the series of experimental data. We show that the particle shape’s influence on the kinetics is insignificant. We also show that a set of particles of different shapes with size distribution can be approxomated by the single particle of the "average" size and of a simple shape; this justifies using single particle approximation and simple shapes in mathematical models.

     Keywords: hydriding, dehydriding, phase change, mathematical modelling, shape symmetry.
     Views (last year): 2. Citations: 2 (RSCI).
486. Koganov A.V., Krechet V.G.
     The introduction of baryon string in the model of spiral galaxies structure
     Computer Research and Modeling, 2012, v. 4, no. 3, pp. 597-612

     It proposes a new alternative approach to explain the flat spectrum of the velocity for stars orbital motion on the periphery of spiral galaxies. In particular, that velocity significant excess of speed calculated according to the virial theorem. The concept is the assumption of the existence for gravitational field of the Central body of the galaxy cylindrical, and not spherical, symmetry. The configuration of this field can be explained by the presence on galaxy axis the cosmic string, the length of which covers the diameter of the disk of the galaxy. This model will be subjected to comparison with the more traditional concept of the availability of the spiral galaxy ball halo of dark matter. For this approach it will also be offered a kinematic model, and the hypothesis about the nature of dark matter. It examines the data of astronomical observations about the presence of cosmic strings in the zones adjacent to galaxies.

     Keywords: а spiral galaxy, gravity, dark matter, cosmic strings.
     Views (last year): 2. Citations: 1 (RSCI).
487. Kazaryan A.M., Shapoval A.B.
     Timeclusterring of stock indicies’ big fall
     Computer Research and Modeling, 2012, v. 4, no. 3, pp. 631-638

     The paper estimates the recurrence rate of stock indicies S&P100, CAC40, DAX, FTSE, AMEX, ATX, NASDAQ, BEL20. The introduced qunatitative measure of the recurrence rate underlies type I and type II errors. We show that more than three quarters of the indicies’ falls occur on average during the first quarter of the time between them. This result expands from sufficiently large falls, which are observed on average two times a year, over smaller falls, which occur approximately once 1.5–2 months.

     Keywords: interevent distribution, errors of the first and second kind.
     Views (last year): 2.
488. Dmitrienko P.V.
     Methods of evaluating the effectiveness of systems for computing resources monitoring
     Computer Research and Modeling, 2012, v. 4, no. 3, pp. 661-668

     This article discusses the contribution of computing resources monitoring system to the work of a distributed computing system. Method of evaluation of this contribution and performance monitoring system based on measures of certainty the state-controlled system is proposed. The application of this methodology in the design and development of local monitoring of the Central Information and Computing Complex, Joint Institute for Nuclear Research is listed.

     Keywords: monitoring of computing resources, management system, performance of monitoring systems.
     Views (last year): 2. Citations: 2 (RSCI).
489. Borina M.Y., Polezhaev A.A.
     About the mechanism of switching between standing and traveling waves is accompanied by a halving of the wavelength
     Computer Research and Modeling, 2012, v. 4, no. 4, pp. 673-679

     We suggest a possible mechanism for the transition from standing waves with a wavelength λ_SW to traveling waves with a half wavelength: λ_TW ≅λ_SW / 2. This phenomenon was observed in the Belousov–Zhabotinsky reaction dispersed in a water-in-oil aerosol OT/Span-20 microemulsion. The problem is solved in a spatially one-dimensional case using amplitude equations approach. We demonstrate that a transition is possible under certain conditions. We obtain conditions for the mode coupling strength parameters, under which the scenario of transition from a standing wave to a half-period traveling wave, observed experimentally, is realized. The result of theoretical analysis is confirmed by numerical simulations.

     Keywords: bifurcation, standing waves, traveling waves, amplitude equations.
     Views (last year): 2. Citations: 1 (RSCI).
490. Gorshenin A.K., Korolev V.Y., Malakhov D.V., Skvortsova N.N.
     On the investigation of plasma turbulence by the analysis of the spectra
     Computer Research and Modeling, 2012, v. 4, no. 4, pp. 793-802

     The article describes the examples of the analysis of the experimental data spectra for identifying typical structures of processes forming plasma turbulence. The method is based on the original algorithm which is close to the one-sample bootstrap. The base model for description of the fine structure of stochastic processes is finite local-scale normal mixtures. For finding the statistical estimates (maximum likelihood estimates) well known EM algorithm is used. The efficiency of the proposed research technique is demonstrated for a number of spectra’s set obtained in different modes of low-frequency plasma turbulence.

     Keywords: bootstrap analisys, spectrum, turbulence plasma, EM algorithm.
     Views (last year): 2. Citations: 4 (RSCI).

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