Most cited papers (RSCI)

121. Romashkin A.N., Malginov A.N., Tolstyh D.S., Ivanov I.A., Doub V.S.
     The ingot geometry effect on the axial shrinkage
     Computer Research and Modeling, 2015, v. 7, no. 1, pp. 107-112

     There was studied the effects of ingot geometry changes on axial shrinkage. The investigation was carried out on the basis of 65-t ingot solidification computer simulation.

     Keywords: ingot casting, geometry, axial shrinkage.
     Views (last year): 1. Citations: 5 (RSCI).
122. Baranov A.V., Balashov N.A., Kutovskiy N.A., Semenov R.N.
     Cloud Infrastructure at JINR
     Computer Research and Modeling, 2015, v. 7, no. 3, pp. 463-467

     Cloud technologies are already wide spread among IT industry and start to gain popularity in academic field. There are several fundamental cloud models: infrastructure as a service (IaaS), platform as a service (PaaS), and software as a service (SaaS). The article describes the cloud infrastructure deployed at the Laboratory of Information Technologies of the Joint Institute for Nuclear Research (LIT JINR). It explains the goals of the cloud infrastructure creation, specifics of the implementation, its utilization, current work and plans for development.

     Keywords: cloud technologies, virtualization.
     Views (last year): 1. Citations: 5 (RSCI).
123. Bakhvalov Y.N., Kopylov I.V.
     Training and assessment the generalization ability of interpolation methods
     Computer Research and Modeling, 2015, v. 7, no. 5, pp. 1023-1031

     We investigate machine learning methods with a certain kind of decision rule. In particular, inverse-distance method of interpolation, method of interpolation by radial basis functions, the method of multidimensional interpolation and approximation, based on the theory of random functions, the last method of interpolation is kriging. This paper shows a method of rapid retraining “model” when adding new data to the existing ones. The term “model” means interpolating or approximating function constructed from the training data. This approach reduces the computational complexity of constructing an updated “model” from $O(n^3)$ to $O(n^2)$. We also investigate the possibility of a rapid assessment of generalizing opportunities “model” on the training set using the method of cross-validation leave-one-out cross-validation, eliminating the major drawback of this approach — the necessity to build a new “model” for each element which is removed from the training set.

     Keywords: machine learning, interpolation, random function, the system of linear equations, crossvalidation.
     Views (last year): 7. Citations: 5 (RSCI).
124. Sviridenko A.B., Zelenkov G.A.
     Correlation and realization of quasi-Newton methods of absolute optimization
     Computer Research and Modeling, 2016, v. 8, no. 1, pp. 55-78

     Newton and quasi-Newton methods of absolute optimization based on Cholesky factorization with adaptive step and finite difference approximation of the first and the second derivatives. In order to raise effectiveness of the quasi-Newton methods a modified version of Cholesky decomposition of quasi-Newton matrix is suggested. It solves the problem of step scaling while descending, allows approximation by non-quadratic functions, and integration with confidential neighborhood method. An approach to raise Newton methods effectiveness with finite difference approximation of the first and second derivatives is offered. The results of numerical research of algorithm effectiveness are shown.

     Keywords: Newton methods, quasi-Newton methods, Cholesky factorization, step scaling, method of confidence neighborhoods, finite difference approximation, algorithm, numerical research, absolute optimization.
     Views (last year): 7. Citations: 5 (RSCI).
125. Zhdanova O.L., Frisman Y.Y.
     Mathematical modeling of the mechanism of a reproductive strategies differentiation in natural populations (on the example of arctic fox, Alopex lagopus)
     Computer Research and Modeling, 2016, v. 8, no. 2, pp. 213-228

     This paper considers the integrated approach to modeling the dynamics of genetic structure and the number of natural population. A set of dynamic models with different types of natural selection is used to describe a possible mechanism for the fixing of a genetic diversity in size of the litter in coastal, continental and farmed populations of arctic fox (Alopex lagopus, Canidae, Carnivora) observed now. The most interesting results have been obtained with the model of population consisting of two stages of development. At that with the frame of this model a dynamics of population genetic structure on genotypes was analyzed to consider different reproductive abilities and fitnesses of pups on the early stage of lifecycle which defined by the single diallelic gene. This model allows to receive a monomorphism for coastal populations of arctic fox, where food resources are practically constant. As well the model allows polymorphism with cyclical fluctuations in the number and frequency of the gene in the continental populations due to regular fluctuating of rodent number, the major component of its food. In farmed populations by selective selection carried out by farmers to increase the reproductive success, this gene is a pleiotropic one (i. e., determining the survival rate of individuals both early and late stages of their life cycle); so an application of appropriate model (with the selection of pleiotropic gene) allows to get an adequate rate of elimination for small litters allele.

     Keywords: evolution, age structure, natural selection, polymorphism, monomorphism.
     Views (last year): 7. Citations: 5 (RSCI).
126. Khazova Y.A.
     Traveling waves in a parabolic problem with a rotation on the circle
     Computer Research and Modeling, 2017, v. 9, no. 5, pp. 705-716

     Optical systems with two-dimensional feedback demonstrate wide possibilities for studying the nucleation and development processes of dissipative structures. Feedback allows to influence the dynamics of the optical system by controlling the transformation of spatial variables performed by prisms, lenses, dynamic holograms and other devices. A nonlinear interferometer with a mirror image of a field in two-dimensional feedback is one of the simplest optical systems in which is realized the nonlocal nature of light fields.

     A mathematical model of optical systems with two-dimensional feedback is a nonlinear parabolic equation with rotation transformation of a spatial variable and periodicity conditions on a circle. Such problems are investigated: bifurcation of the traveling wave type stationary structures, how the form of the solution changes as the diffusion coefficient decreases, dynamics of the solution’s stability when the bifurcation parameter leaves the critical value. For the first time as a parameter bifurcation was taken of diffusion coefficient.

     The method of central manifolds and the Galerkin’s method are used in this paper. The method of central manifolds and the Galerkin’s method are used in this paper. The method of central manifolds allows to prove a theorem on the existence and form of the traveling wave type solution neighborhood of the bifurcation value. The first traveling wave born as a result of the Andronov –Hopf bifurcation in the transition of the bifurcation parameter through the сritical value. According to the central manifold theorem, the first traveling wave is born orbitally stable.

     Since the above theorem gives the opportunity to explore solutions are born only in the vicinity of the critical values of the bifurcation parameter, the decision to study the dynamics of traveling waves of change during the withdrawal of the bifurcation parameter in the supercritical region, the formalism of the Galerkin method was used. In accordance with the method of the central manifold is made Galerkin’s approximation of the problem solution. As the bifurcation parameter decreases and its transition through the critical value, the zero solution of the problem loses stability in an oscillatory manner. As a result, a periodic solution of the traveling wave type branches off from the zero solution. This wave is born orbitally stable. With further reduction of the parameter and its passage through the next critical value from the zero solution, the second solution of the traveling wave type is produced as a result of the Andronov –Hopf bifurcation. This wave is born unstable with an instability index of two.

     Numerical calculations have shown that the application of the Galerkin’s method leads to correct results. The results obtained are in good agreement with the results obtained by other authors and can be used to establish experiments on the study of phenomena in optical systems with feedback.

     Keywords: parabolic problem, bifurcation, stability, traveling wave, method central manifolds, Galerkin’s method.
     Views (last year): 11. Citations: 5 (RSCI).
127. Kargovsky A.V.
     Anharmonic vibrational resonances in small water clusters
     Computer Research and Modeling, 2009, v. 1, no. 3, pp. 321-336

     Numerical calculations of structures and vibrational spectra of small water clusters are performed by solution of the molecular Schrodinger equation in the density functional theory framework using B3LYP and X3LYP hybrid functionals. Spectral features and evolution of hydrogen bond properties in clusters with their size increasing are discussed. The vibrotational Hamiltonian parameters and Fermi and Darling-Dennison anharmonic resonances in small water oligomers are determined. Obtained results may be used in quantum mechanics/molecular dynamics simulations of water and processes in active site of enzyme.

     Keywords: vibrational spectra, hydrogen bonds, water clusters.
     Views (last year): 1. Citations: 4 (RSCI).
128. Kondratyev M.S., Kabanov A.V., Komarov V.M.
     Modeling of helix formation in peptides containing aspartic and glutamic residues
     Computer Research and Modeling, 2010, v. 2, no. 1, pp. 83-90

     In present work we used the methods of molecular dynamics simulations and quantum chemistry to study the concept, according to which aspartic and glutamic residues play a key role in initiation of helix formation in oligopeptides. It has been shown, that the first turn of the alpha-helix can be organized from various amino acid sequences with Asp and Glu residues on the N-terminus. Thermodynamic properties of such a process were analyzed. The obtained results do not interfere with known experimental and statistical data and they substantially elaborate present views on the processes of early peptide folding stages.

     Keywords: alpha-helix, amino acids, molecular dynamics simulation, quantum chemistry, H-bonding.
     Views (last year): 2. Citations: 4 (RSCI).
129. Kazennov A.M.
     Basic concepts of CUDA technology
     Computer Research and Modeling, 2010, v. 2, no. 3, pp. 295-308

     The history of the development of CUDA technology and its fundamental limitations are discribed. The article is intended for those readers who are not familiar with graphics adapter programming features but want to evaluate the possibilities for GPU computing applications.

     Keywords: CUDA, GPU, GPGPU, video card, graphics adapter.
     Views (last year): 5. Citations: 4 (RSCI).
130. Vrazhnov D.A., Shapovalov A.V., Nikolaev V.V.
     Symmetries of differential equations in computer vision applications
     Computer Research and Modeling, 2010, v. 2, no. 4, pp. 369-376

     In our work we present generalization of well-known approach for construction of invariant feature vectors of images in computer vision applications. Basic feature of the suggested algorithm is replacement of commonly used Gaussian filter by convolution of image function with Green’s function of evolution operator, which inherits symmetries of this operator. The use of general filtration allows to obtain additional characteristics of invariant feature vectors.

     Keywords: computer vision, pattern recognition, filtering, symmetries of differential equations, Green Function.
     Views (last year): 8. Citations: 4 (RSCI).

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