theory of decomposition; group analysis of differential equation; simulation;control theory.
Subject:
The geometrical theory of mathematical objects decomposition have been developed in the framework of Bourbakis formalism. This theory is language which have only two dual notion in its foundation: the notion about P-decomposition and the notion about F-decomposition. It may be said in the most cases that objects P-decomposition (F-decomposition) is such family of subobjects (quotient objects) of the objects that the object may be reconstructed uniquely by the family.
Biography
Graduated from Faculty of Aerodynamics of Moscow Phisical-Technical Institute in 1960. Ph.D. thesis was defended in 1964. D.Sci. thesis was defended in 1976. A list of my works contains more than 100 titles, 6 monographs among them. Since 1976 I and V. I. Elkin have led the research seminar at Computing Center of Russian Academy of Science on problem "Decomposition method in mathematical modeling".
1981 — USSR Council of Ministers Award; 1991 — Academician of Natural Science Academy of Russian Federation; 1992 — The Norbert Wiener Award for contribution to Cybernatics by Natural SCIENCE Academy end US Forein Fellows RAS and AMRIS-Transportation Automation Services, American Airlines.
Main publications:
Pavlovskii Yu. N., Smirnova T. S. Problema dekompozitsii v matematicheskom modelirovanii. M.: Fazis. 266 s.
Pavlovskii Yu. N. Imitatsionnye modeli i sistemy. M.: Fazis. 131 s.
Pavlovskii Yu. N. O shkalakh rodov struktur // Doklady RAN, 1998, tom 363, # 2, s. 163–165.
Pavlovskii Yu. N. O HPF- i PF- morfizmakh // Doklady RAN, 1999, tom 369, # 6, s 745–746.
Yu. I. Brodskii, Yu. N. Pavlovsky, “The instrumental software for distributed simulation of complex systems”, Informatsionnye Tekhnologii i Vychslitel'nye Sistemy, 2009, no. 4, 9–21
2007
2.
Yu. N. Pavlovsky, “On the E. S. Pyatnitskii principle of decomposition”, Avtomat. i Telemekh., 2007, no. 9, 27–37; Autom. Remote Control, 68:9 (2007), 1492–1501
2006
3.
Yu. I. Brodskii, V. I. Novitskii, Yu. N. Pavlovsky, “An algorithm for the formation of a hierarchical system of invariants of isomorphisms of mappings of finite sets”, Diskretn. Anal. Issled. Oper., Ser. 2, 13:2 (2006), 21–30
Yu. N. Pavlovsky, “The problem of decomposition in the mathematical modeling”, Matem. Mod., 3:6 (1991), 93–122
9.
J. N. Grigorov, P. V. Danulov, Yu. N. Pavlovsky, “The problems of applying the mathematical models in national economy (on example of modeling the ages distribution of the engines)”, Matem. Mod., 3:4 (1991), 57–66
1979
10.
V. I. Elkin, Yu. N. Pavlovsky, T. G. Smirnova, “The method of complete systems in aggregation problems”, Upravliaemie systemy, 1979, no. 18, 26–38
1974
11.
Yu. N. Pavlovskii, “The group properties of controlled dynamic systems and phase organizational structures. II. Phase organizational structures”, Zh. Vychisl. Mat. Mat. Fiz., 14:5 (1974), 1093–1103; U.S.S.R. Comput. Math. Math. Phys., 14:5 (1974), 10–19
Yu. N. Pavlovsky, “The group properties of controlled dynamic systems and phase organizational structures. I: Groups characterizing dynamic systems”, Zh. Vychisl. Mat. Mat. Fiz., 14:4 (1974), 862–872; U.S.S.R. Comput. Math. Math. Phys., 14:4 (1974), 43–53
Yu. N. Pavlovskii, “On the aggregation and design of hierarchical control structures for a class of complex systems”, Zh. Vychisl. Mat. Mat. Fiz., 11:6 (1971), 1510–1520; U.S.S.R. Comput. Math. Math. Phys., 11:6 (1971), 189–200
V. A. Lyul'ka, Yu. N. Pavlovsky, “The drag of a rigid body in a tube by the flow of a viscous incompressible fluid”, Zh. Vychisl. Mat. Mat. Fiz., 9:1 (1969), 238–243; U.S.S.R. Comput. Math. Math. Phys., 9:1 (1969), 329–335
Yu. N. Pavlovsky, “Numerical calculation related to a plane laminar boundary layer in compressible gas on a blunt plate”, Zh. Vychisl. Mat. Mat. Fiz., 4:1 (1964), 178–183; U.S.S.R. Comput. Math. Math. Phys., 4:1 (1964), 249–257
1962
16.
Yu. N. Pavlovsky, “The numerical calculation of the laminar boundary layer in a compressible gas”, Zh. Vychisl. Mat. Mat. Fiz., 2:5 (1962), 884–901; U.S.S.R. Comput. Math. Math. Phys., 2:5 (1963), 1021–1042
V. L. Beresnev, A. A. Evdokimov, A. D. Korshunov, P. S. Krasnoshchekov, V. K. Leont'ev, O. B. Lupanov, Yu. N. Pavlovsky, A. A. Sapozhenko, Yu. A. Flerov, “Yurii Ivanovich Zhuravlev (on his 70th birthday)”, Diskretn. Anal. Issled. Oper., Ser. 1, 12:1 (2005), 3–11
Yu. N. Pavlovsky, “N. Сuгlе. The laminar boundary layer equations (OxfordMathematical Monographs). Oxford, Clarendon Press. Book Review”, Zh. Vychisl. Mat. Mat. Fiz., 3:1 (1963), 207–208
Presentations in Math-Net.Ru
1.
О вооруженной борьбе во время Великой Отечественной войны Yu. N. Pavlovsky Scientific conference "Modeling the Co-evolution of Nature and Society: problems and experience" devoted to the 100-th anniversary of N. N. Moiseev November 8, 2017 12:15
2.
Теория декомпозиции и некоторые ее приложения Yu. N. Pavlovsky VIII Всероссийская научная конференция с международным участием «Математическое моделирование развивающейся экономики, экологии и технологий (ЭКОМОД-2014)», посвященная 80-летию академика А. А. Петрова (1934–2011) и 100-летию академика Г. С. Поспелова (1914–1998). October 23, 2014 12:20
Contact us: