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 7, no. 2

May 2014

Survey Articles

5 - 28 The Higher-Order Sobolev-Type Models

A.A. Zamyshlyaeva

Mathematical Modelling

29 - 37 A Mathematical Study of the Conservation Equation for Two-Phase Mixtures

Yu.M. Kovalev, E.A. Kovaleva

38 - 45 The Mathematical Modelling of Diffusion and Advection of Radon in Piecewise Anisotropic Layered Media with Inclusions

V.N. Krizsky, A.R. Nafikova

46 - 54 An Algorithm Searching for Point Subsets with Applications to the Analysis of the Atomic Structure of Modelled Clusters

D.S. Krupyanskiy, A.D. Fofanov

55 - 65 Smooth Models of Biological Populations

E.V. Lobanova, N.B. Medvedeva

66 - 73 On Perfect Ciphers Based on Orthogonal Tables

S.M. Ratseev, O.I. Cherevatenko

74 - 86 Modelling Liquid Flows in Diffusers by Reduced Equations

Yu.I. Sapronov

87 - 98 Godunov's Method for a Multivelocity Model of Heterogeneous Medium

V.S. Surov, I.V. Berezansky

Programming & Computer Software

99 - 110 Searching for Uncertainty Regions of Kinetic Parameters in the Mathematical Models of Chemical Kinetics Based on Interval Arithmetic

V.A. Vaytiev, , S.A. Mustafina

Short Notes

111 - 117 On a Semilinear Sobolev-Type Mathematical Model

E.V. Bychkov

118 - 123 Modelling the Influence of Temperature Gradients on the State of a Free Liquid Surface

L.A. Prokudina

124 - 128 The Initial-Final Value Problem for the Linear Stochastic Hoff Model

E.A. Soldatova

129 - 135 Optimal Control in Higher-Order Sobolev-Type Mathematical Models with (A,p)-Bounded Operators

O.N. Tsyplenkova

Mathematical Activity

136 - 137 International Cooperation