About the Institute

INSTITUTE OF APPLIED MATHEMATICS AND MECHANICS OF THE NATIONAL ACADEMY OF SCIENCE OF UKRAINE
(IAMM NASU, TO 1970 DONETSKY Computer Center USSR Academy of Sciences)

Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine (IAMM NASU) - a scientific institution that is part of the organizational structure of the National Academy of Sciences of Ukraine (NASU) and directly to the Department of Mathematics, National Academy of Sciences.

main purpose of the Institute - the implementation of basic and applied research in mathematics, mechanics and cybernetics in order to obtain new knowledge in these fields, creating and exploring new mathematical models and their application in modeling various physical processes, management and promotion scientific, technical, socio-economic and spiritual development of Ukraine.
The Institute was founded in 1965 as Donetsk Center of USSR Academy of Sciences. In 1970. renamed the Institute of Applied Mathematics and Mechanics of NAS of Ukraine. Located on the inception of the city of Donetsk, is currently at R. Luxemburg str 74, 83114, Donetsk.

Structural subdivisions of the institute is 9 scientific departments and laboratories 2: Department of Nonlinear Analysis, equations of mathematical physics, theory of functions (including the laboratory optimization of polynomial approximations and splines), partial differential equations, probability theory i of Mathematical Statistics, Applied mechanics, technical mechanics, analytical methods of rocks, the theory of control systems (including laboratory Discrete Mathematics and Applied Algebra). The Institute operates a special design and technological office management systems (SKTB SD).

Institute conducts basic research in the following areas:

• theory of differential equations and partial differential operators, structural and geometric function theory, theory of random processes and mathematical statistics, rigid body dynamics, stability theory and control, mechanics of rocks;
• modeling, identification and recognition control systems.

founder of the Institute and its first director in the period 1965-1974 he was teaching. AN USSR, Honored Scientist of Ukraine Ivan Daniluk. He invited the Institute to lead its main research areas of outstanding scientists in the fields of mathematics, mechanics, and Cybernetics: USSR Academy of Sciences Academician Ya.B. Lopatinskii, corresponding member of USSR Academy of Sciences J. I. Hihmana, GD Suvorov, P.V . Varlamov, RAPN Academician, Professor, Ph.D. AM Bogomolov, who founded the leading research areas and formed a well-known schools. During 1974-1977 he headed the Institute AM Bogomolov. From 1977 to February 2, 2005 permanent director of the institute was teaching. Nano IV Skrypnyk. After the death Acad. Nano IV Skrypnyk Institute is headed by Cor. Nan A. Kovalev.

The Institute's well-known schools:

• differential partial differential equations based teaching .. USSR Academy of Sciences II Danilyuk and Ya.B. Lopatinskii;
• complex analysis, conformal mapping theory and the theory of approximations based Cor. UkSSR C, D, Suvorov, probability theory and mathematical statistics, based Cor. UkSSR J. I. Hihmanom;
• analytical mechanics-based Cor. Nano PV Kharlamov, mathematical and technical issues of Cybernetics, academician based RAPN, Professor, Ph.D. AM Bogomolov.
  Institute scientists extracted the fundamental points of the results are known both in Ukraine and abroad.

Made a significant contribution to the study of nonlinear boundary problems of mathematical physics with free boundaries - based generalized Morse theory, an important part of variational calculus in general, for integral functionals with variable domain of integration. The theory of general boundary problems for linear elliptic systems, which has gained global fame and recognition. Gain outstanding results in the theory of nonlinear differential equations with partial - for nonlinear elliptic and parabolic Dirichlet problems in perforated domains sequence developed methods of asymptotic expansion of solutions, defined the nature of convergence of solutions and build appropriate averaging problem. Widely known results of stochastic differential equations and the theory of random processes. The notion of stochastic integral curved in a random field, which generalizes the notion of the Ito integral and on this basis to develop an appropriate stochastic analysis. In the direction of structural and geometric function theory created new research methods metric properties of mappings with bounded Dirichlet integrals based on the principle of improving the length and area of relative spatial maps given generalization of Caratheodory, which is concerned with the study conformally invariant extension of a plane bikompaktnoyi region. In the direction of rigid body dynamics created new forms of dynamic equations of rigid body motion and body systems, developed a constructive method of invariant relationships, built a natural way of body movement tasks (hodograph method). The method of oriented manifolds and the method sets the trajectories through which resolved a number of important direct and inverse problems of control of nonlinear dynamic systems. In the direction of modeling, identification and recognition control systems proposed and investigated the structural algebra automata and binary relations, problem solved decomposition of general systems. Win the general conditions of existence and methods of tests and diagnostic tests for structural automata. A theory of probability experiments with automatic weapons.
Results of Fundamental Research Institute became the basis of a number of unique application development performed in many sectors of the economy of Ukraine and Russia: energy, coal, mounting and gas industry, space exploration, metallurgy, engineering and medicine. Examples of such developments is the establishment of operational control systems and automation of the main modes of monoblock supercritical pressure thermal power plants that are introduced in a number of TPP Donbass and AK Kyivenergo, develop ways to manage traffic near methane degassing wells, cracks hidrorozryvu and mines that are introduced in a number of Ukraine mine development in the field of dynamics related bodies embedded in Yuzhnoye, which are used in the design of spacecraft, the work in the field of mathematical problems of cybernetics and technical diagnostics of digital devices were introduced in Saratov enterprises that develops on-board computing and measurement in SRI Research Center (m.Zelenohrad - Soviet "Silicon Valley"), a number of enterprises in Donbass and Ukraine.
High appropriate research provided qualified personnel, including 27 doctors and 42 candidates of science (respectively 34% and 55% of the total number of researchers). 3 Cor. NAS of Ukraine. Great attention is paid to the Institute for the training of young scientific personnel - work and doctorate courses, and two Special Board of doctoral and master's theses of the major specialties.

Institute issued interagency Collected Works "Nonlinear boundary problem" (1989), "Solid Mechanics" (from 1969), "Proceedings of the Institute of Applied Mathematics and Mechanics (since 1997). Since 1999. they referuyutsya in European international refereed journal "Zentralblatt MATH". The Institute publishes and participates in publishing magazines "Ukrainian Mathematical Gazette" (English version of "Ukrainian mathematical bulletin" distributed AMS), "Theory of Stochastic Processes" (distributed AMS). Since its establishment the Institute scientists published about 80 books synthesis, including more than 20 tools in foreign languages.

contributions of scientists of the Institute in basic and applied research in the fields of mathematics, mechanics and cybernetics noted the scientific community and state a number of awards and prizes - the Order of Lenin (1), Order of the October Revolution (1), Order of the Badge of Honor "(1) , the Order of Friendship of Peoples (1), the Order of Yaroslav the Wise V degree (1), ENEA USSR medals: Gold - 2 Silver - 2 Bronze - 3, Honored Scientist of Ukraine (4), the State Prize of Ukraine in Science and Technology (4), Prize of NAS of Ukraine im.M.M.Krylova (6), im.M.M.Boholyubova (1), im.O.M.Dynnyka (2), im.M.V.Ostrohradskoho (1 ).