Grudnitskii, V. G.
Published in
Mathematical Models and Computer Simulations

The sufficient conditions for the stability and monotonicity in calculating supersonic steady flows by means of the marching technique are derived. The sufficient stability conditions are also obtained for constructing the solutions of time-dependent conservation laws with account for viscosity by explicit difference schemes. With increase in the v...

Shestakov, A. A.
Published in
Mathematical Models and Computer Simulations

The paper examines a new model to describe changes in qualification within a collective. In this model the qualification of a worker in a collective is a function that at first is increasing up to maximum value, then is slowly decreasing to zero. The model also includes mutual interaction between members in a large collective.

Zhilin, A. A. Fedorov, A. V.
Published in
Mathematical Models and Computer Simulations

The TVD-type difference scheme and the large particle method are studied and realized for solving the mathematical models of mechanics of heterogeneous media with different velocities and pressures of the components. The results calculated in accordance with the TVD scheme and the modified large-particle method are compared with exact solutions for...

Abramov, A. P.
Published in
Mathematical Models and Computer Simulations

Two schemes are considered for a multisector economy to reach a balanced growth in the absence of central planning. The first scheme is based on sales of goods, the second on expected profit maximization. For the financial component, implies dependence of prices on sales. Both schemes allow the economic system to asymptotically reach the turnpike o...

Kalitkin, N. N. Kozlitin, I. A.
Published in
Mathematical Models and Computer Simulations

A compensated microfield model of plasma nonideality is proposed as an improvement of the traditional microfield models. In this model, a double contribution of a microfield to the truncation of statistical sums removed. The new method of truncation of the statistical sums of atoms or ions is compared with the results of experiments and computation...

Mosalov, O. P. Red’ko, V. G. Prokhorov, D. V.
Published in
Mathematical Models and Computer Simulations

A model of evolving populations of self-learning agents is studied, and the interaction between learning and evolution is analyzed. Each agent is equipped with a neural network (NN) adaptive critic design for behavioral adaptation. The model is investigated by an example of a simple agent-broker that predicts stock price changes and uses these pred...

Bogolyubov, A. N. Lavrenova, A. V.
Published in
Mathematical Models and Computer Simulations

The hybrid finite element method is applied to solve the vector problem of the normal mode diffraction on an inhomogeneity in a waveguide. The algorithm for numerically solving this problem by means of the finite element method with the elements of mixed type is developed and implemented. Partial radiation conditions are used to make the domain bou...

Kornelik, S. E. Borzenko, E. K. Grishin, A. N. Bubenchikov, M. A. Stolyarov, V. I.
Published in
Mathematical Models and Computer Simulations

A mathematical model of aggregation and destruction of erythrocyte clots in the shear flow is constructed. Calculations show the influence of shear stresses in a blood flow on the mean dimension of clots. It is also shown that the sinuses of aneurysms create conditions for formation of large agglomerates, which can result in thrombosis of a blood v...

Alshina, E. A. Ivanchenko, E. S. Kalitkin, N. N. Tishkin, V. F.
Published in
Mathematical Models and Computer Simulations

The problem of rotationally invariant approximation of the curve given by points is considered. The arc length is chosen for the curve parameter. The algorithm of calculating it up to the fourth order of accuracy is developed. In addition, other characteristics of the curve are constructed, viz., the slope, the curvature, and its derivative. Genera...

Gorodetsky, A. E. Tarasova, I. L.
Published in
Mathematical Models and Computer Simulations

A model of porous silicon structure formation is considered. A computer implementation of this model is carried out, and a compact model of the silicon framework is created. A logical-probabilistic approach to simulating the porous silicon structure is described