Mathematical Models and Computer Simulations
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Modeling an Inhomogeneous Coating of an Elastic Sphere with the Required Sound Reflecting Properties
Mathematical Models and Computer Simulations - - 2018
Geometrical modeling of a metallic mesh deformation of the parabolic reflector
Mathematical Models and Computer Simulations - Tập 8 - Trang 453-461 - 2016
A geometrical model of the well-known “mattress” effect, which is similar to the one observed at the opening of an umbrella, is built. The main hypothesis is that the surface of metallic mesh of a parabolic reflector takes a form closed to the minimal surface in the isotropic case. The fact that, for the orthotropic metallic mesh, the sum of the principal curvatures is farther from zero than in th...... hiện toàn bộ
Multigrid method for anisotropic diffusion equations based on adaptive Chebyshev smoothers
Mathematical Models and Computer Simulations - Tập 7 - Trang 117-127 - 2015
We propose an efficient multigrid algorithm for solving anisotropic elliptic difference equations. The algorithm is based on using Chebyshev’s explicit iterations at smoothing stages and in solving coarse-grid equations. We have developed a procedure for adapting smoothers to anisotropy and present examples, which show that adaptation improves the efficiency of the multigrid method and scalability...... hiện toàn bộ
Error estimate for diffusion equations solved by schemes with weights
Mathematical Models and Computer Simulations - Tập 6 - Trang 324-331 - 2014
In applied problems it is often necessary to solve the diffusion equation. Here, the most efficient methods are grid methods, but they suffer from errors of approximation. We consider a linear equation of diffusion with variable coefficients, for which the error can be estimated by a scheme with weights. An algorithm is proposed to find the optimal value of the weight for the error in the given gr...... hiện toàn bộ
Statistical Recognition Method Based on Nonlinear Regression
Mathematical Models and Computer Simulations - Tập 12 - Trang 996-1004 - 2021
This study is devoted to the statistical method of classification based on nonlinear regression. The approaches used to implement it in solving the recognition problem of printed and handwritten characters are presented. Its implementation in assessing the health of the systems of the human body according to the parameters of peripheral blood is presented for the first time. The optimal structure ...... hiện toàn bộ
Simulation of radiative properties of substances used as soft X-ray source materials for an X pinch
Mathematical Models and Computer Simulations - Tập 3 - Trang 557-561 - 2011
This article presents the results of theoretical and experimental studies of the radiative properties of materials that can serve as sources of soft X-ray radiation in an X pinch. The important features of the theoretical model used to compute the radiation characteristics of the plasma with a complex chemical compound are discussed. It is shown that the yield of X-ray radiation can be increased b...... hiện toàn bộ
Simulation of isotropic turbulence degeneration based on the large-eddy method
Mathematical Models and Computer Simulations - Tập 5 - Trang 360-370 - 2013
In this paper, the simulation of isotropic turbulence degeneration is studied. The turbulent process is modeled based on filtered three-dimensional unsteady Navier-Stokes equations. For the closure of the main equations, a viscous model of turbulence is used. The problem is solved numerically, i.e., in solving the equation of motion the modified method of fractional steps using compact schemes is ...... hiện toàn bộ
On the powerof second-order accurate numerical methods for model problems of gas- and hydrodynamics
Mathematical Models and Computer Simulations - Tập 3 - Trang 92-112 - 2011
The paper provides an overview on the use of high-resolution methods based on the CABARET scheme. The results are provided for several test problems including gas dynamics, computational aeroacoustics, and geophysical fluid dynamics for a classical double-gyre quasi-geostrophic model of ocean dynamics.
Simulation of quantum dynamics of a wave packet in a semiclassical limit
Mathematical Models and Computer Simulations - Tập 3 Số 5 - Trang 629-636 - 2011
Phenomenological Computational Model for the Development of a Population Outbreak of Insects with Its Bifurcational Completion
Mathematical Models and Computer Simulations - Tập 10 - Trang 501-511 - 2018
The article discusses the model scenario of a sharp increase in the number of phytophagous insects, a dangerous and poorly predictable phenomenon. The scenario is based on the possibility of an increased reproduction efficiency of the state of the population in the range limited from above and from below. A time-limited local outbreak begins after overcoming the threshold equilibrium point. The sl...... hiện toàn bộ
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