Afendikov, A. L. Nikitin, V. S.
Published in
Mathematical Models and Computer Simulations

AbstractThe problem of a supersonic flow around a system of bodies freely moving in a gas flow is considered. The mathematical model consists of Euler’s equations for a region filled with gas, supplemented by Newton’s equations for describing the motion of rigid bodies under the influence of pressure. The computational algorithm uses locally adapti...

Chetverushkin, B. N. Mingalev, I. V. Chechetkin, V. M. Orlov, K. G. Fedotova, E. A. Mingalev, V. S. Mingalev, O. V.
Published in
Mathematical Models and Computer Simulations

AbstractThis paper presents an analysis of the level of description of the main physical processes in the Earth’s atmosphere in modern models of the general circulation of the Earth’s atmosphere and gives a brief overview of the modern models used by the main forecasting centers. The promising directions of the development of models of the general ...

Gavrilov, S. V.
Published in
Mathematical Models and Computer Simulations

AbstractA two-dimensional electrical impedance tomography problem in the case of piecewise-constant electrical conductivity, taking two known values, is considered. It is required to determine the boundary between regions with different conductivity. The initial information for solving the problem consists of several pairs of current and voltage di...

Nikulin, E. E. Pekhterev, A. A.
Published in
Mathematical Models and Computer Simulations

AbstractA volatility model is developed for several time horizons, taking into account the distribution of the frequency of price fluctuations. The core of the model is the ability to identify and use the “carrier frequencies” of market prices to obtain a more accurate estimate of the current volatility. Our attention is focused on determining the ...

Vorobyeva, V. V. Volodin, E. M.
Published in
Mathematical Models and Computer Simulations

AbstractThe technology is described for constructing the set of the initial data using the technique of eliminating the model’s bias for seasonal experiments with a numerical climate model of the Institute of Numerical Mathematics of the Russian Academy of Sciences (INM RAS), which was originally developed for multi-annual experiments. A comparativ...

Mikhailov, A. P. Yukhno, L. F.
Published in
Mathematical Models and Computer Simulations

AbstractThe process of dissemination of information in society among its possible adherents (individuals who perceive this information) in the presence of mistrust, which means a decrease in the level of interest in assimilating the proposed information, is considered. It is assumed that the degree of influence of distrust is determined by the hype...

Chetverushkin, B. N. Saveliev, A. V. Saveliev, V. I.
Published in
Mathematical Models and Computer Simulations

AbstractAn algorithm for solving problems of magnetic gas dynamics, which is adapted to the architecture of computing systems with extramassive parallelism, is discussed. The algorithm is based on a kinetic model that describes the dynamics of an ensemble of neutral and charged particles, as well as a magnetic field. As an illustration, the results...

Duben, A. P. Abalakin, I. V. Tsvetkova, V. O.
Published in
Mathematical Models and Computer Simulations

AbstractA technique for setting boundary conditions on solid surfaces based on the method of near-wall functions is presented. The technique is based on solving the Reynolds-averaged Navier-Stokes equations with the Spalart-Allmaras (SA) closure model in the boundary layer approximation. The obtained solution is used to formulate flow boundary cond...

Bragin, M. D.
Published in
Mathematical Models and Computer Simulations

AbstractFully discrete bicompact schemes of the fourth order of approximation in space are investigated for entropy stability in problems of gas dynamics. Expressions for the rate of entropy production in these schemes are derived. Qualitative estimates are obtained for the behavior of this quantity. On the example of one-dimensional Riemann test p...

Noskov, S. I.
Published in
Mathematical Models and Computer Simulations

AbstractThe material of this article is based on the author’s works devoted to the construction of the Pareto set in a two-criterion parameter estimation problem of the linear regression equation with the loss functions corresponding to urban and Chebyshev distances. It is known that the former is not sensitive to outliers, while the latter, in con...