Program of
International Conference on Applied Mathematics and Computer Science dedicated to Academician A.A. Dorodnicyn’s 100-th Birthday Anniversary
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December 7 (Tuesday)
Plenary Talks (11:00-17:55, Steklov Mathematical Institute of RAS, Conference hall)

December 8 (Wednesday)
Section "Continuum Mechanics". Morning session (10:00-13:20, room 113)
Section "Mathematical physics and computational methods". Morning session (10:00-12:40, CC RAS, Conference hall)
Section "Mathematical modelling in natural sciences". Morning session (10:00-13:00, room 355)
Section "Mathematical physics and computational methods". Evening session (14:10-18:30, CC RAS, Conference hall)
Section "Mathematical modelling in natural sciences". Evening session (14:30-18:00, room 355)
Section "Computer science and mathematical modelling in economics". Evening session (14:50-18:20, room 113)

December 9 (Thursday)
Section "Continuum Mechanics". Morning session (10:00-13:00, room 113)
Section "Mathematical physics and computational methods". Morning session (10:00-13:20, room 355)
Section "Computer science and mathematical modelling in economics". Morning session (10:00-12:40, CC RAS, Conference hall)
Section "Mathematical physics and computational methods". Evening session 1 (14:10-18:00, CC RAS, Conference hall)
Section "Mathematical physics and computational methods". Evening session 2 (14:50-18:30, room 355)
Section "Mathematical modelling in natural sciences". Evening session (14:30-18:10, room 113)

December 10 (Friday)
Section "Continuum Mechanics". Morning session (10:00-15:00, room 355)
Section "Mathematical physics and computational methods". Morning session (10:00-14:40, CC RAS, Conference hall)
Section "Computer science and mathematical modelling in economics". Morning session (10:00-12:40, room 113)



December 7 (Tuesday)
Plenary Talks
Steklov Mathematical Institute of RAS, Conference hall
9:30 - 11:00 Registration of participants
11:00 - 11:05 Introductory address of CC RAS director Evtushenko Yu.G.
11:05 - 11:35 Evtushenko Yu.G., Paltsev B.V. An outstanding organizer of science, a theorist in aero- and hydrodynamics, a leader in computational and applied mathematics
11:35 - 13:05 Talks on the memories of academician A.A. Dorodnicyn: Belotserkovskii O.M., Marchuk G.I., Zhuravlev Yu.I., Il'in V.A., Evtushenko Yu.G., Letichevskii A.A., Molchanov I.N., Zhizhchenko A.B., Demyanov Yu.A.
13:05 - 15:00 Lunch
15:00 - 15:30 Zhuravlev Yu.I. Intelligence methods of data processing in application to forecasting and recognition problems
15:30 - 16:00 Kozlov V.V. Vlasov kinetic equation, continuum dynamics, and turbulence
16:00 - 16:30 Marchuk G.I., Zalesny V.B., Agoshkov V.I., Gusev A.V., Diansky N.A. Mathematical modelling of World ocean dynamics
16:30 - 17:00 Coffee break
17:00 - 17:30 Il'in V.A. Boundary control of oscillatory processes
17:30 - 17:55 Vyshinskiy L.L., Flerov Yu.A. Automating the design of aircraft in CCAS
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December 8 (Wednesday)
Section "Continuum Mechanics"
Morning session (room 113)
Chairman: Lipatov Igor Ivanovich
10:00 - 10:20 Aristov V.V., Zabelok S.A., Frolova A.A. Solving the Boltzmann equation and new kinetic effects
10:20 - 10:40 Radkevich E.V. To the section problem of the chain of conservation laws with relaxation
10:40 - 11:00 Larina I.N., Rykov V.F. Kinetic model of the Boltzmann equation for diatomic gas with rotational degrees of freedom
11:00 - 11:20 Aristov V.V., Ilyin O.V. Instability and spatio-temporal chaos for the kinetic system
11:20 - 11:40 Coffee break
11:40 - 12:00 Tcheremissine F.G. Solving of the Boltzmann equation for a gas with internal degrees of freedom of molecules
12:00 - 12:30 Milyavskii V.V., Fortov V.E., Frolova A.A., Khishchenko K.V., Charakhch'yan A.A., Shurshalov L.V. On the mechanism of pressure increase with increasing porosity of the media compressed in conical and cylindrical targets
12:30 - 13:00 Kraiko A.N. Variational problems of gas dynamics
13:00 - 13:20 Kuznetsov M.M., Lipatov I.I. New models of hypersonic viscous gas flows
13:20 - 14:50 Lunch
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December 8 (Wednesday)
Section "Mathematical physics and computational methods"
Morning session (CC RAS, Conference hall)
Chairman: Kornev Andrey Alekseevich
10:00 - 10:30 Radev S., Onofri F. Numerical analysis of the sinuous instability of a viscous capillary jet surrounded by an nonviscous fluid
10:30 - 11:00 Slawianowski J.J. Hamiltonian systems motivated by Schroedinger equation
11:00 - 11:20 Zavorokhin G.L., Nazarov A.I. On elastic waves in a wedge
11:20 - 11:40 Coffee break
11:40 - 12:00 Shishkin G.I., Shishkina L.P. Asymptotic constructs method of improved order accuracy for a singularly perturbed parabolic reaction-diffusion equation
12:00 - 12:20 Kornev A.A. Mathematical modelling the asymptotic stabilization process in the four vortex system
12:20 - 12:40 Popov V.A., Skubachevskii A.L. Local smoothness of generalized solutions for elliptic differential-difference equations with degeneration
12:40 - 14:10 Lunch
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December 8 (Wednesday)
Section "Mathematical modelling in natural sciences"
Morning session (room 355)
Chairman: Skorokhodov Sergey Leonidovich
10:00 - 10:30 Gatignol R. Asymptotic modelling of gas flows in micro-channels
10:30 - 11:00 Dymnikov V.P. On mathematical theory of global atmospheric circulation
11:00 - 11:20 Kosenko I.I., Aleksandrov E.B. An approach for constructing a multibody dynamics library on Modelica language
11:20 - 11:40 Coffee break
11:40 - 12:00 Petrov I.B. Numerical modelling of wave processes in heterogeneous environment
12:00 - 12:20 Popov S.P. Numerical simulation of soliton solutions of nonlinear equations
12:20 - 12:40 Krivtsov V.M., Soloviev V.R. Mathematical modelling of a surface barrier discharge in air
12:40 - 13:00 Baranov N.A., Turchak L.I. Wake simulation at vortical flights safety research
13:00 - 14:30 Lunch
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December 8 (Wednesday)
Section "Mathematical physics and computational methods"
Evening session (CC RAS, Conference hall)
Chairman: Vlasov Vladimir Ivanovich
14:10 - 14:40 Gatignol Ph. Methods of complex variable functions applied to the computation of the physical fields in the wave propagation domain
14:40 - 15:10 Moiseev E.I., Kholomeeva A.A. Optimal boundary control of string oscillations with even nonlocal condition of the first kind
15:10 - 15:40 Kopachevsky N.D. To the problem of small motions of fluid-gas hydrosystem
15:40 - 16:10 Tyrtyshnikov E.E. Efficient computations in multidimensional spaces
16:10 - 16:40 Coffee break
16:40 - 17:10 Bezrodnykh S.I., Vlasov V.I., Somov B.V. A singular Riemann-Hilbert problem for a model of reconnecting current layer rupture
17:10 - 17:30 Butuzov V.F. On singularly perturbed problems in the case of multiple roots of the degenerate equation
17:30 - 17:50 Korpusov M.O., Sveshnikov A.G. On relaxation at finite time for some nonlocal equation
17:50 - 18:10 Azarenok B.N. A variational grid generation method on two-dimensional domains
18:10 - 18:30 Kerimov M.K. Special functions in the studies of academician A.A. Dorodnicyn
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December 8 (Wednesday)
Section "Mathematical modelling in natural sciences"
Evening session (room 355)
Chairman: Zubov Vladimir Ivanovich
14:30 - 15:00 Davydov A.A., Chetverushkin B.N., Shilnikov E.V. Simulating flows of incompressible and weakly compressible fluids on multicore hybrid computer systems
15:00 - 15:20 Sushkevich T.A. From pioneer science cosmic experiments to nanodiagnostics of natural and space media
15:20 - 15:50 Fujita Yashima H. The dynamics of air equations with water phase transitions
15:50 - 16:10 Babakov A.V. The numerical simulation of three-dimensional unsteady aerodynamic problems on parallel architecture computer systems
16:10 - 16:40 Coffee break
16:40 - 17:00 Albu A.F., Zubov V.I. Optimal control of thermal processes
17:00 - 17:20 Gaeva Z.S., Shananin A.A. Chebyshev-Markov-Krein algorithm in control problems of the processes described by the Smoluhovsky equations
17:20 - 17:40 Razzhevaikin V.N. Spatial structures and waves for reaction-nonlinear diffusion equations
17:40 - 18:00 Arkhipov B.V., Solbakov V.V., Shapochkin D.A., Koterov V.N. Application of mathematical modeling at environment impact assessment
18:00 - 18:20 Abgaryan K.K., Bazhanov D.I., Mutigullin I.V. Computer simulation of multilayer semiconductor nanostructures
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December 8 (Wednesday)
Section "Computer science and mathematical modelling in economics"
Evening session (room 113)
Chairman: Sigal Israel Khaimovich
14:50 - 15:10 Zhadan V.G. Multiplicatively barrier methods for semidefinite programming problems
15:10 - 15:30 Kamenev G.K., Lotov A.V. Decision support based on approximation of the high-order Pareto frontier
15:30 - 15:50 Galimyanova N.N., Ignatyev A.L., Konshin I.N., Posypkin M.A., Sigal I.Kh. Parallel algorithms for discrete optimization problems
15:50 - 16:10 Sukhinin M.F. On revealing active indices in the linear programming problems
16:10 - 16:40 Coffee break
16:40 - 17:00 Golikov A.I. Parallel methods for solving large-scale linear optimization problems
17:00 - 17:20 Vasilyev F.P., Antipin A.S., Artemieva L.A. Regularized extragradient method for solving a paramentic multicriteria equilibrium programming problem
17:20 - 17:40 Kozlov M.V., Konovalov M.G., Malashenko Yu.E., Nazarova I.A. Simulation model for the heterogeneous computing system management
17:40 - 18:00 Serebryakov V.A. Development of distributed current research information systems
18:00 - 18:20 Senko O.V. The use of pattern recognition and intellectual data analysis methods in tasks of medical diagnostics and forecasting
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December 9 (Thursday)
Section "Continuum Mechanics"
Morning session (room 113)
Chairman: Charakhch'yan Aleksandr Agasievich
10:00 - 10:20 Zhuk V.I. Soliton disturbances in a boundary layer
10:20 - 10:40 Garanzha V.A. Symmetrization of finite hyperelasticity equations
10:40 - 11:00 Brushlinsky K.V., Ignatov P.A., Chmykhova N.A. Mathematical models of plasma equilibrium in the galatea-trap magnetic field
11:00 - 11:20 Shalaev V.I. Dorodnitsyn transformation and problems of three-dimensional boundary layer
11:20 - 11:40 Coffee break
11:40 - 12:10 Brykina I.G., Rogov B.V., Tirskiy G.A. Continuum models of hypersonic flow over blunted bodies in transitional regime
12:10 - 12:40 Pirumov U.G. Mathematical models of nonlinear processes in ecology and solution of applied problems
12:40 - 13:00 Demyanov Yu.A. The use of Dorodnicyn variables and method for the solution of new problems of boundary layer theory
13:00 - 14:30 Lunch
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December 9 (Thursday)
Section "Mathematical physics and computational methods"
Morning session (room 355)
Chairman: Abramov Aleksandr Aleksandrovich
10:00 - 10:30 Kholodov A.S., Kholodov Ya.A. On high-precision monotone schemes for hyperbolic equations
10:30 - 10:50 Matus P.P., Polyakov D.B. Stability and monotonicity of difference schemes for equations of gas dynamics in Riemann invariants
10:50 - 11:10 Gulin A.V. On the stability of a family of non self-adjoint difference schemes
11:10 - 11:40 Coffee break
11:40 - 12:00 Abramov A.A., Ul'yanova V.I., Yukhno L.F. On singular nonlinear selfadjoint spectral problem for systems of ordinary differential equations
12:00 - 12:20 Dorodnitsyn V.A. Lie group symmetries of finite-difference equations
12:20 - 12:40 Ramazanov M.D. Calculation of variational splines in non-Hilbert spaces
12:40 - 13:00 Rakhmatullin D.Ya. Approximate integration by cubature formulas
13:00 - 13:20 Tolstykh A.I. Multioperators technique for constructing high-order approximations and schemes
13:20 - 14:50 Lunch
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December 9 (Thursday)
Section "Computer science and mathematical modelling in economics"
Morning session (CC RAS, Conference hall)
Chairman: Lotov Aleksandr Vladimirovich
10:30 - 11:00 Khachaturov V.R. Contemporary problems of operations research
11:00 - 11:20 Menshikov I.S. Game theory and experimental economics about rationality of decision making
11:20 - 11:50 Coffee break
11:50 - 12:20 Elkin V.I. Control systems, Lie groups and Pfaffian systems
12:20 - 12:40 Dikusar V.V.,
Zubov N.V.
Qualitative and numerical methods in control problems
12:40 - 14:10 Lunch
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December 9 (Thursday)
Section "Mathematical physics and computational methods"
Evening session 1 (CC RAS, Conference hall)
Chairman: Kobelkov Georgy Mikhailovich
14:10 - 14:30 Vabishchevich P.N. Additive schemes (splitting schemes) for solving unsteady problems of incompressible viscous flows
14:30 - 14:50 Kobelkov G.M. Splitting schemes for Navier-Stokes equations
14:50 - 15:10 Olshanskii M.A. Solving the Navier-Stokes equations in velocity-vorticity-helical density variables
15:10 - 15:30 Paltsev B.V. On an iterative method with boundary condition splitting and compatibility conditions for the nonstationary Stokes problem
15:30 - 15:50 Soloviev M.B. Numerical implementations of a new iterative method with boundary condition splitting for the nonstationary Stokes problem
15:50 - 16:10 Shkadov V.Ya., Aleksyuk A.I., Shkadova V.P. The numerical solution of the Navier-Stokes equations for viscous fluid flow around bodies
16:10 - 16:40 Coffee break
16:40 - 17:00 Bogovskii M.E. An estimate for the global convergence rate of iterations to strong solutions of the Navier-Stokes problem
17:00 - 17:20 Nechepurenko Yu.M. Stability analysis of non-stationary systems
17:20 - 17:40 Popov I.V., Fryazinov I.V. A method of adaptive artificial viscosity
17:40 - 18:00 Wolkov A.V. Peculiarities of Galerkin method application to the solution of Navier-Stokes equations
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December 9 (Thursday)
Section "Mathematical physics and computational methods"
Evening session 2 (room 355)
Chairman: Mikhailov Igor Efimovich
14:50 - 15:20 Kulikovskii A.G., Chugainova A.P. Self-similar asymptotics for solutions which describe the nonlinear waves
15:20 - 15:40 Aksenov A.V. Symmetries of fundamental solutions and Riemann function of second order hyperbolic equation
15:40 - 16:00 Konyukhova N.B., Kurochkin S.V. On nonlinear Ginzburg-Landau boundary value problem for a superconducting plate in a magnetic field
16:00 - 16:30 Coffee break
16:30 - 16:50 Zhura N.A. Boundary value problems for systems of equations of principal type with constant coefficients on the plane
16:50 - 17:10 Atamuratov A.G., Mikhailov I.E. Numerical solution of the problem of beam oscillations damping
17:10 - 17:30 Vassilevski Yu.V., Kapyrin I.V., Nikitin K.D., Danilov A.A. Conservative and monotone schemes for problems of filtration and transport in porous media
17:30 - 17:50 Kaporin I.Ye. On efficient implementation of preconditioned iterative linear solvers on high-performance computer systems
17:50 - 18:10 Tsurkov V.I. Splitting and singular solutions of the two-fluid hydrodinamic equations for Bose-Einstein condensate
18:10 - 18:30 Konshin I.N. Overlap construction for symmetric linear systems parallel solution
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December 9 (Thursday)
Section "Mathematical modelling in natural sciences"
Evening session (room 113)
Chairman: Tarko Aleksandr Mikhailovich
14:30 - 15:00 Marchuk G.I., Agoshkov V.I., Zalesny V.B., Parmuzin E.I., Shutyaev V.P. Inverse and variational data assimilation problems for complicated mathematical models of the geophysical hydrodynamics
15:00 - 15:20 Karamzin Yu.N., Polyakov S.V., Fedirko V.A. Numerical basis for computer simulation of electron transport in micro- and nanostructures
15:20 - 15:40 Parkhomenko V.P. Numerical experiments with global climate model
15:40 - 16:00 Tarko A.M., Usatyuk V.V. Modelling the impact of economic activities of mankind on the global biosphere processes
16:00 - 16:30 Coffee break
16:30 - 16:50 Vlasov V.I., Skorokhodov S.L., Fujita Yashima H. A model of air motion in a lower part of typhoon
16:50 - 17:10 Belotelov N.V. The problem of the adequate models of ecological systems
17:10 - 17:30 Yakovenko G.N. Information compression of mathematical model on the example of the interaction of populations
17:30 - 17:50 Sarancha D.A. Using of exact methods in description sciences (on ecological-biological examples)
17:50 - 18:10 Turchak L.I. Shidlovskii V.P. Mathematical modelling in gas lubrication
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December 10 (Friday)
Section "Continuum Mechanics"
Morning session (room 355)
Chairman: Bishaev Aleksandr Mikhailovich
10:00 - 10:20 Bogdanov A.N., Diesperov V.N., Zhuk V.I., Chernyshev A.V. Free interaction phenomenon in transonic flows and boundary layer stability
10:20 - 10:40 Arhipov A.S., Bishaev A.M. Non-steady-state approach to the modelling of a low-density plasma jet flowing from a plasma source
10:40 - 11:00 Zhukov V.T., Feodoritova O.B. Some approaches to high temperature process simulation
11:00 - 11:20 Ivanov M.Ya. The method of integral relations, conservation laws and thermodynamics of the work process of high-temperature turbojet engines
11:20 - 11:50 Coffee break
11:50 - 12:20 Neyland V.Ya., Sokolov L.A., Shvedchenko V.V. Influence of temperature factor on structure of supersonic separation flows
12:20 - 12:50 Vlasov V.I., Gorshkov A.B., Kovalev R.V., Lunev V.V., Churakov D.A. Investigations of hypersonic flows of real gas around bodies
12:50 - 13:10 Diesperov V.N., Korolev G.L. The viscous interaction investigation of transonic gas flow over a small axisymmetric element of roughness
13:10 - 13:40 Coffee break
13:40 - 14:10 Egorov I.V., Novikov A.V., Sudokov V.G., Fedorov A.V. Numerical modelling of the stability and susceptibility of hypersonic flows of viscous gas
14:10 - 14:40 Gaifullin A.M., Zubtsov A.V. Extension of the Prandtl-Batchelor theorem to non-stationary flows with closed streamlines
14:40 - 15:00 Dorodnitsyn A.V. Radiative gas-dynamics near astrophysical objects
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December 10 (Friday)
Section "Mathematical physics and computational methods"
Morning session (CC RAS, Conference hall)
Chairman: Stepanov Sergey Yakovlevich
10:00 - 10:30 Pascal M. New events in stick slip oscillators behavior
10:30 - 10:50 Grebenikov E.A., Zemtsova N.I. On some mathematical problems of homographic dynamics
10:50 - 11:10 Ter-Krikorov A.M. Transitional process from unstable equilibrium to stable cycle in systems of two and three orders
11:10 - 11:40 Coffee break
11:40 - 12:00 Stepanov S.Ya. Numerical investigation of limit cycles with dry friction
12:00 - 12:20 Sergeev V.S. The investigation of stability and dynamics in systems with aftereffect described by integrodifferential equations of the Volterra type
12:20 - 12:40 Sumbatov A.S. On stationary motions of the simplest servosystem in the conditions of weightlessness
12:40 - 13:00 Bezrodnykh S.I., Vlasov V.I. Highly effective analytic-numerical method for solving a class of singularly perturbed systems of nonlinear differential equations
13:00 - 13:30 Coffee break
13:30 - 14:00 Gushchin V.A. Mathematical modelling of the incompressible fluid flows
14:00 - 14:20 Golubiatnikov A.N. On the problem of acceleration of a liquid body
14:20 - 14:40 Sveshnikov A.G., Perova L.V. On propagation of perturbations excited in fluid by moving sources
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December 10 (Friday)
Section "Computer science and mathematical modelling in economics"
Morning session (room 113)
Chairman: Fourougian Meran Gabibullaevich
10:00 - 10:30 Pavlovsky Yu.N. Geometric theory of decomposition
10:30 - 11:00 Pospelov I.G. Experience of modelling of the Russian economy during the global financial crisis
11:00 - 11:20 Fourougian M.G. Problems of CAD of real-time systems
11:20 - 11:50 Coffee break
11:50 - 12:10 Brodsky Yu.I. Oscillation in the odd competitive systems
12:10 - 12:30 Matveev I.A. Detection of eye iris by correlated maxima of brightness gradient projections
12:30 - 12:50 Brodsky Yu.I. Instrumental system for distributed simulation
12:50 - 13:10 Vorontsov K.V. On combinatorial theory of overfitting
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