APPLICATION OF A SYSTEM APPROACH IN DEVELOPING MATHEMATICAL MODELS
The article discusses the possibility of using the methods of systems analysis to consider the sequential hierarchy of mathematical models. It is noted that, depending on the required depth of detail of the properties of the object to be reflected in the model, characteristic levels of abstraction are distinguished. It is indicated that classical approaches to modeling, including models with distributed or lumped parameters, do not fully meet the requirements of modern researchers. It is proposed to introduce an additional, intermediate level of abstraction of mathematical models, which should include models in the form of systems of discrete elements. It is shown that discrete models in many respects combine the advantages inherent in models of basic, levels and can serve as a good alternative to traditional approaches to modeling various objects.