Bulletin of the South Ural State University

Series “Mathematical modelling, programming & computer software”

Vestnik Yuzhno-Ural’skogo gosudarstvennogo universiteta

Seriya “Matematicheskoe modelirovanie i programmirovanie”

ISSN 2071-0216 (Print) ISSN 2308-0256 (Online)

Volume 10, no. 3

August 2017

Mathematical Modelling

5 - 15 Normal Forms of the Degenerate Autonomous Differential Equations with the Maximal Jordan Chain and Simple Applications

L.R. Kim-Tyan, B.V. Loginov, Yu.B. Rousak

16 - 24 Mathematical Modelling of the Formation of a Difference in the Potentials During Crystallization of Cloud Droplets in View of Fractal Media

T.S. Kumykov

25 - 39 About Routing in the Sheet Cutting

A.A. Petunin, A.G. Chentsov, P.A. Chentsov

40 - 53 Analytical Solution to the Problem of Convective Heat Transfer in a Porous Rectangular Channel for Thermal Boundary Conditions of the Second Genus

V.I. Ryazhskikh, D.A. Konovalov, A.V. Ryazhskikh, A.A. Boger, S.V. Dakhin

54 - 66 Forecasting the Return of the Loan Portfolio on the Basis of Markov Model

G.A. Timofeeva

67 - 79 Algorithms of Optimal Packing Construction in Ellipse

V.N. Ushakov, P.D. Lebedev, N.G. Lavrov

80 - 93 Gravitational Model of Population Dynamics

M.Y. Khavinson, M.P. Kulakov

Programming & Computer Software

94 - 107 Influence of the Method of Hydrogen Atoms Incorporation into the Target Protein on the Protein-Ligand Binding Energy

D.C. Kutov, E.V. Katkova, A.V. Sulimov, O.A. Kondakova, V.B. Sulimov

108 - 119 Modelling and Estimation of a Moving Object Trajectory

I.V. Semushin, A.V. Tsyganov, Yu.V. Tsyganova, A.V. Golubkov, S.D. Vinokurov

120 - 132 Circular Shift of Loop Body - Programme Transformation, Promoting Parallelism

O.B. Steinberg

133 - 141 Model of Porous Material Sintering

O.V. Shults, V.A. Simonenko, S.P. Drovosekov, P.V. Kapustina, I.A. Belobrova

Short Notes

142 - 147 Sequential Application of the Hierarchy Analysis Method and Associative Training of a Neural Network in Examination Problems

O.S. Avsentiev, T.V. Meshcheryakova, V.V. Navoev

148 - 155 Computer Simulation of the Volga River Hydrological Regime: Problem of Water-Retaining Dam Optimal Location

E.O. Agafonnikova, A.Yu. Klikunova, A.V. Khoperskov

156 - 162 Spectral Problems on Compact Graphs

S.I. Kadchenko, S.N. Kakushkin, G.A. Zakirova

Mathematical Activity

163 - 165 Training Video Course As an Element of Elite Mathematical Education

A.V. Kungurtseva, E.I. Nazarova, N.N. Ovchinnikova, M.A. Sagadeeva