Beklemishev, N. D.
Published in
Mathematical Models and Computer Simulations

AbstractThe perspective n-point problem (PnP), or a three-point photogrammetric resection in space, consists of the problem of finding the position and the orientation of the model of the camera of the central projection by the assigned spatial coordinates of the given points and by the corresponding coordinates of their projections on the image. D...

Bogdanov, I. P.
Published in
Mathematical Models and Computer Simulations

AbstractThe problem of optimizing air passenger transport schedules is investigated. It is required to minimize renting and operating costs taking into account heterogeneous fleet, the possibility of multiple visits to the same location, inaccessibility of specified air corridors, etc. Two formalizations of this problem are presented in the form of...

Tsirlin, A. M. Sukin, I. A. Balunov, A. I.
Published in
Mathematical Models and Computer Simulations

AbstractBased on the equations of thermodynamic balances, a model of a stationary non-equilibrium distillation process is proposed. It is shown that the heat consumption for any given efficiency of a distillation column depends monotonically on the parameters of the reversible distillation. Using this result, the authors propose an algorithm for ch...

Moroz, L. I. Maslovskaya, A. G.
Published in
Mathematical Models and Computer Simulations

AbstractThis study is devoted to the construction and software implementation of a computational algorithm for modeling the process of anomalous diffusion. The mathematical model is formulated as an initial-boundary value problem for a semilinear partial differential equation of fractional order. An implicit finite-difference scheme is constructed ...

Kriksin, Yu. A. Tishkin, V. F.
Published in
Mathematical Models and Computer Simulations

AbstractA conservative version of the entropy stable discontinuous Galerkin method is proposed for the Euler equations in variables: density, momentum density, and pressure. For the equation describing the dynamics of the mean pressure in an FE, a special difference approximation in time and conservative in total energy is constructed. The entropy ...

Sazonov, V. V.
Published in
Mathematical Models and Computer Simulations

Abstract—This paper considers an approach to approximating the sensor data of an autonomous navigation system installed on the Russian segment of the International Space Station (ISS) based on the application of a mathematical model simulating the orbital motion of a spacecraft (SC) in which the midship area is computed with allowance for the aerod...

Lobanov, A. I. Mirov, F. H.
Published in
Mathematical Models and Computer Simulations

AbstractA family of difference schemes on an explicit five-point stencil for the numerical solution of the linear transfer equation is considered. To construct and study the properties of difference schemes, a generalized approximation condition is used. Difference schemes in the space of undefined coefficients are analyzed. In this case, the probl...

Plokhotnikov, K. E.
Published in
Mathematical Models and Computer Simulations

Abstract—A numerical method proposed in the authors’ previous work to solve the Schrödinger equation is developed. Ambiguity remains in the method described earlier in identifying the average positions of quantum particles in a molecular system, which were prescribed from external considerations without taking into account the Schrödinger equation ...

Popkov, Yu. S. Popkov, A. Yu. Dubnov, Yu. A.
Published in
Mathematical Models and Computer Simulations

AbstractWe develop/propose the method reducing the dimension of a data matrix, based on its direct and inverse projection, and the calculation of projectors that minimize the cross-entropy functional, remove. We introduce the concept of information capacity of a matrix, which is used as a constraint in the optimal reduction problem, is introduced. ...

Nikitchenko, Yu. A. Tikhonovets, A. V.
Published in
Mathematical Models and Computer Simulations

AbstractThe paper considers the problem of a flow around a thin plate of infinite span. The frontal surface of the plate absorbs gas. For the calculations we use the mathematical flow model containing a combination of the Navier–Stokes–Fourier model and the model kinetic equation of polyatomic gases. The calculations are performed for a supersonic ...