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Information × Registration Number 0222U001998, 0117U004077 , R & D reports Title Development of analytical and numerical-analytical methods for problems in modern science popup.stage_title Head Lukovskiy Ivan O., д.ф.-м.н.Makarov Volodymyr L., Доктор фізико-математичних наук Registration Date 08-02-2022 Organization Institute of Mathematics of the National Academy of Sciences of Ukraine popup.description2  A wide range of problems related to approximate methods for mathematical modeling problems, mathematical problems of mechanics and control theory has been solved, modern theory of approximation in classes of functions of one and many variables, complex-analytical methods of research of problems of modern natural science. In particular, when constructing approximate methods for mathematical modeling problems, operator interpolation problems were solved and systems of linear equations and inequalities in Euclidean spaces were investigated, resonance equations for polynomials of Laguerre and Legendre type are generalized to fourth-order equations, the criterion for solvability of resonant equations is found and their solutions are constructed, weight estimates of the accuracy of the Cayley transformation method for abstract boundary value problems in Banach space are established, an exponentially convergent method for modeling the spread of pollution from moving sources is constructed and substantiated, developed a method without saturation of the accuracy of solving a nonlocal multipoint problem for the first-order evolution equation in Banach space, constructed and investigated multidimensional generalized instantaneous images and Pade-type approximations and generalized instantaneous images and multidimensional multi-point Pade-type approximations, developed a method for solving systems of bit equations based on the principle of branches and boundaries, proposed and substantiated regularized collocation in the problem of diffusion time distribution in the framework of electrochemical impedance spectroscopy, solved some problems of regression analysis. In the field of mathematical problems of mechanics and control theory, the control of a tank with a liquid with a free surface is based on the principle of least Gaussian coercion, the natural oscillations of the fluid in the tanks of rotation with non-vertical walls are investigated Product Description popup.authors Bakan Andrew G. Bakhtin Oleksandr K. Vasylyk Vitalii B. Velychko Lyudmyla I. Veselovska Hanna M. Vyhivska Liudmyla V. Vygovska Albina D. Holub Anatolii P. Gryshchuk Serhii V. Denega Iryna V. Zabolotnyi Yaroslav V. Zelinskyi Yurii B. Klishchuk Bogdan A. Komaaschenko Nina O. Konstantinov Oleksandr V. Mazko Oleksii G. Myleiko Hanna L. Osipchuk Tetyana M. Plaksa Sergii A. Pozharska Kateryna V. Pozharskii Oleksandr A. Pokrovskyi Andrii V. Pukhtaievych Roman P. Romanyuk Anatoliy S. Romanyuk Viktor S. Savkina Marta Yu. Savchuk Viktor V. Savchuk Viktor V. Salimov Ruslan R. Semenova Yevgeniya V. Serdyuk Anatolii S. Sytnyk Dmytro O. Snihur Tetyana O. Sokolenko Igor V. Solodky Sergii G. Solodun Oleksandr V. Sosnytskyi Stepan P. Stasyuk Serhii A. Stepaniuk Tetiana A. Stefanchuk Mariia V. Tymokha Oleksandr M. Tkachuk Maksym V. Trokhymchuk Yurii Y. Trotsenko Yuriy V. Chernetska Liliya O. Shydlich Andrij L. Shpakivskyi Vitalii S. Yanchenko Sergiy Ya. popup.nrat_date 2022-03-09 Close