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Information × Registration Number 0221U102707, 0119U100337 , R & D reports Title Mathematical modeling and optimization of dynamic systems for defense, ecology and medicine. popup.stage_title Head Lyashko Sergei I., Доктор фізико-математичних наук Registration Date 09-02-2021 Organization Taras Shevchenko National University of Kyiv popup.description2 Object of research: Algorithms for minimizing the functions of a large number of variables and learning problems of neural networks of different architecture, algorithms for computer implementation of averaged models of multiphase diffusion in porous media, monotonic difference scheme for nonstationary convection-diffusion-reaction equation, external ballistics body model stabilized plumage taking into account the moments of inertia and algorithms for its implementation. Objective: The aim of the project is to develop and study effective algorithms for minimizing the functions of a large number of variables and solving the problem of learning neural networks of different architecture, building algorithms for computer implementation of averaged models of multiphase diffusion in porous media, development of monotonic difference scheme -diffusion-reaction, development of a model of external ballistics for a body stabilized by plumage, taking into account the moments of inertia and the algorithm for its implementation. Research method: Nurminsky schemes and Feyer operator techniques, Nesterov fast gradient method schemes, methods of a priori estimates in negative spaces, methods of averaging differential equations in partial derivatives, difference methods. Mathematical models of drug transport in cancerous tumors and related problems of optimization and controllability of systems described by differential equations in partial derivatives, where the coefficients and right parts belong to different functional spaces, have been developed and studied. Mathematical models of averaging of differential equations and algorithms of their computer realization which arise at the decision of such problems are developed and investigated. Extragradient-type methods have been developed to solve two-level variational inequalities with monotone operators that arise when analyzing optimization problems with constraints in the form of variational inequality.  Product Description popup.authors Belousova Olena A. Veklych Olena A. Gulianytskyi Leonid F. Kivva Tetyana S. Kyrychenko Ivan V. Klyushyn Dmitro A. Potapenko Leonid I. Sirenko Ihor Р. Sandrakov Gennadij V. Semenov Volodymyr V. Stanislavska Svitlana V. Stelya Оleg B. Tereschenko Yaroslav V. Cherniy Dmytro І. popup.nrat_date 2021-02-09 Close