Fundamental Issues of Mathematical Modeling

V. P. Il’in*

Institute of Computational Mathematics and Mathematical Geophysics, Russian Academy of Sciences,
Siberian Branch, Novosibirsk, Russia

Novosibirsk State University, Novosibirsk, Russia

e-mail: ilin@sscc.ru

Received September 14, 2015

Abstract—Mathematical modeling of processes and phenomena is becoming increasingly more significant in
various spheres of human activity, including the science and technology, production, and social spheres. Prob-
lems of its development are acquiring basic, applied, and technological aspects, the distinction and interlinks
of which require philosophical and methodological conceptualization. The article published below highlights
three problems: the automation of computations, their supercomputer representation, and the creation of large-
scale modeling systems with an open-type integrated environment.

Keywords: mathematical modeling, computational methods and technologies, automation of algorithm con-
struction, integrated software environment, interdisciplinary direct and inverse problems.

DOI: 10.1134/S101933161602009X

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