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)

About the periodical

The founders of mathematical modelling were A. N. Tikhonov and A. A. Samarsky. They treated it as a methodology, the essence of which was shown in the ternary «model-algorithm-program». A model is an equation or a system of equations derived from the laws of nature, for example, the heat conduction equation derived by J. B. J. Fourier, or the system of Navier-Stokes equations, describing the motion of fluid substances. As the model was based on the laws of nature a proper consistency with experiments was enough for its verification.

But the development of new mathematical objects such as strange attractors and solitons the past century created the necessity of high-quality research of mathematical models in the face of the mathematical community. It wasn’t the first time in history. Such research is not only a stable foundation for clear hypothesis of unicity of the solutions or their stability but it helps to reveal less evident peculiarities of the models affecting the creation of algorithms and software design as well. It was high-quality study of the model of the Chernobyl accident that assisted in reaching the distressing conclusion of the possibility of a second explosion to a group of mathematicians and engineers led by N. N. Moiseev. When the explosion took place its consequences locally were immediate.

Programming as a sphere of knowledge dealing with algorithms and programs has been more technology than science from the viewpoint of the creator and researcher of the models. The activity of selecting the right algorithm from the existing ones, its development and further translation of the it to the software used to be a routine task though creative one. This situation has changed with the development of multicore processors. They are capable of increasing the speed of calculation by multiples. In this connection there is the necessity to examine applied aspects of programming and look over the grounds.

Nowadays programming is considered to be a science as it was considered half a century or a quarter of a century ago, it hasn’t achieved its basic results yet, and mathematical community is interested in the fact that programming is oriented on mathematical modelling in its new stage of development.

Thus, the basic purpose of our periodical is the promotion of the union of qualitative and quantitative study of mathematical models, and on behalf of editorial board we invite interested parties for cooperation.

G. A. Svirdyuk, chief editor