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Newest methods of mathematical modeling of complex processes and systems based on high-performance computing


Work number - P 28 AWARDED

Presented by V.M. Glushkov Institute of Cybernetics of NAS of Ukraines.

 Authors:Galba E. F., Doroshenko A.Yu., Yershov S.V., Lytvyn O.O., Petryk M.R., Popov A.V., Skobelev V.G., Tulchinsky V.G.

The aim of the work is to create theoretical foundations and scientifically grounded methodology of mathematical modeling of complex multicomponent systems and processes that allow using the powerful potential of high-performance computations based on supercomputer technologies.

The authors propose new methods of mathematical modeling of nanoprocesses based on the concept of feedback-systems in heterogeneous and nanoporous environments. High-performance gradient methods for identifying the parameters of complex nanosystems and nanosorbent processes are developed.

The scientific basis of computer investigation of mathematical models with approximate data of sparse structure on the newest high-performance supercomputer systems on the basis of structural regularization, data decomposition and multi-level model of parallel computing is created.

Improved efficiency of the use of powerful computing resources of parallel operation and significantly reduced the proportion of manual work of software developers, intended solve complex problems of mathematical modeling; the methods have been successfully applied in several areas of the use of high-performance computing in parallel systems, in particular, for the implementation of high-speed and high-precision regional meteorological forecasting, for modeling the life cycle of responsible welded structures, building constructions, etc.

Publications:23 monographs (including 5 published in foreign editions), 213 research papers (including 132 published in foreign journals). The total number of citations of authors' publications / h-index of the papers according to databases is respectively: Web of Science – 79/5; Scopus – 302/7; Google Scholar – 1324/15. 7 Doctors of Science and 11 PhD theses have been defended.

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