Fundamental issues of mathematical modeling

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. Problems 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.