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Information × Registration Number 0121U110612, ( 0223U004334  0223U004379  ) R & D request Title Methods of high-performance computing for the study of mathematical models of complex dynamical systems Head Makarov Volodymyr L., Доктор фізико-математичних наук Registration Date 18-04-2021 Organization Institute of Mathematics of the National Academy of Sciences of Ukraine popup.description1 The aim of the proposed project is to solve problems related to the mathematical modeling of complex dynamical systems that describe the interaction of objects with different physical nature, as well as to address a series of related problems in computational mathematics. Such mathematical and numerical modeling of complex dynamic systems is an integral part in the development of modern cutting-edge technology. It is planned to develop new high-performance numerical methods for a number of nonlinear boundary value problems arising in the construction of mathematical models of certain new technological processes, as well as to develop approximate methods for solving basic mathematical problems related to practical applications, in particular, to develop approximate methods for equations of mathematical physics in domains with complex geometric shape, develop and implement new methods of data classification in the scheme of active machine learning using nonlinear dimensionality reduction methods that are based on the synergy of diffusion maps and associated operator functions. It is also planned to further advance the complexity theory of incorrect problems and justify optimal numerical methods for the solution of ill-posed problem. popup.nrat_date 2024-12-09 Close