Discrete interpolation method for modeling multiparametric processes, systems and environments
Journal Title: Комп’ютерне моделювання: аналіз, управління, оптимізація - Year 2017, Vol 1, Issue 1
Abstract
The design of complex technical objects, the modeling of the predicted state of multiparametric systems and environments, for example, ecological, energy, climatic, hydrological, geomorphological, geological systems, is currently quite a challenge in connection with the development of modern technologies. Such systems or environments are quite complex and have a large number of different quality parameters. Finding and creating mathematical models of such systems is an urgent task. Obviously, simulated objects, systems and environments that can not be analytically described can be described using discrete models. The purpose of this study is the development of methods and algorithms for constructing discrete mathematical models of complex multiparametric objects, systems, and environments. In this paper, we consider a non-traditional approach to the modeling of complex technical objects, systems and environments, based on the discrete interpolation method. The corresponding geometric models are constructed as some one-parameter sets using certain interpolation schemes. The originality of the approach is that under the interpolation nodes, not points, but more complex objects, such as lines, surfaces, matrices or even certain processes, represented as some functionals, as a collection of their properties and parameters, are meant. Singleparameter sets obtained in this way and including different-quality and difference-structured parameters are discrete mathematical models of multiparametric objects, processes and environments.
Authors and Affiliations
Ю. Р. Холковський
Keywords
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