Kozub N. Information technology of modelling of the modified discrete elements.

The object - the processes of scientific researches in the field of mathematical modelling of the theory of approach of functions; the purpose - development of theoretical and methodological bases, working out of algorithms and tool means of the analysis and synthesis of modelling of the modified functions of the form of discrete elements with improved interpolational qualities; methods of researches analytical geometry and topology; numerical methods: Jordan- Gauss, Libman; probability theory; calculus of variations; cognitive the computer drawing; novelty - is created for the first time information technology of modelling of the standard and modified discrete elements for the decision of problems of approach and research polynomial basic functions of two arguments which unites geometrical modelling, the numerical analysis and computer experimenting; the basis which provides the minimum error of calculations at the decision of problems of restoration of functions with different boundary conditions is designed; have received the further development criteria of a choice of optimum basis on a minimum of a square-law deviation from a plane of zero level and with use of a variation principle. It is introduced in design - design activity, and also in educational process KNТU. Scope - systems of the automated designing of building designs.