CURRICULUM VITAE

Ivan P. Smirnov

Laboratory of acoustics № 223

IAP RAS

43 Ulyanova str. , Nizhny Novgorod, Russia

Department of Radiophysics
Nizhny Novgorod St. University
23 Gagarina av. , Nizhny Novgorod, Russia

Phone:

e-mail:

Personal data

Born in Russia (Rybnaya, Gorky region) on November 2, 1952.
Married, daughter Evgenya (born 1978), son Alexey (born 1981).
Russian citizen.

Fields of interest

• Mathematical theory of optimal control

·         The probability theory and the theory of stochastic processes

·         High-frequency underwater acoustics

·         Waves in random media, chaos

·         Ocean tomography

·         Numerical modeling

Education

Degrees

Professional appointments

1975 - 1977	Engineer in radiophysics	Scientific Research Radiophysical Institute
		(NIRFI), Gorky, Russia, USSR
1980 - 1983	Junior member of teaching	Gorky St. University, Russia, USSR
1983 - 1988	Reader	Gorky St. University, Russia, USSR
1988 - 2001	Associate Professor	Nizhny Novgorod St. University, Russia.
Since 2001	Researcher officer	IAP RAS, Nizhny Novgorod, Russia

Recent distinctions and awards

Lenin scholarship for students at 1974

Received the USSR State Certification Committee certificate of the Associate Professor, 1990

Membership

Russian Acoustical Society

Main scientific interests (1975 - 2003)

My M.S. Degree Thesis work concerns two problems in mathematical physics. The first one [1] is the problem of the nonlinear mathematical transfer theory, and the second one [5] is the problem of the optimal control on the stochastic processes which are the solution of a stochastic differential equation for the continuous processes.

During 1975 - 1977 I took part in experimental works on ultra long radio-wave propagation (in NIRFI, [2]).

From 1977 to 1980 I worked on mathematical theory of the optimal control (under the supervision of V.I. Plotnikov and S.F. Morozov). My Ph.D. Thesis work 'Investigation by variational methods of the optimization problems for the stochastic integral equations for discontinuous processes' was devoted to the control systems of the form

where w is a Wiener process, [(n)\tilde] is a Poisson random measure. The main result of this work is the necessary and sufficient conditions of the process (1) optimality (for a given maximizing functional) in the form of stochastic maximum principle (see [3,4,6]). Using general functional approach (of V.I. Plotnikov) I obtained new results concerned this problem, in particular, local maximum principles in the problem of coefficients b,g control. Next achievement was a new functional form of the adapted process representation. Applying this form the various principle maximum received by other researchers ( J. Kushner, J. M. Bismut, V.I. Arkin ) can be united.

Later I studied some other problems of the stochastic optimal control: a new time-control problem [8], the problem of entrance of a stochastic process to the given region [9,10] etc.

In 1980 - 1990 I worked as an applied programmer in several physical projects at Gorky St. University (1980 - 1985, with V.P. Dokuchaev and A.E. Krupina [7]) and at the Institute of Applied Physics, Russian Academy of Sciences (1985 - 1990, with A.I. Saichev and A.L. Virovlyansky). I developed some program complexes (in Fortran and C) for solving of the ionospheric plasma equations and modeling of the sound wave propagation process in an inhomogeneous media (in the geometry optics approach).

Since 1990 I have performed a few works in the theory of high-frequency wave propagation in random inhomogeneous medium, wave scattering and Ocean tomography (with A.I. Khil'ko, [11,12,13,14,15]).

In 2000-2002 I took part (with A.L. Virovlyansky) in the work of Prof. G.M. Zaslavsky group (CIMS, NYU) for the ray chaos investigations [16,18]. I developed the program complex (in C++) for the action-angle presentation of the ray trajectories.

Pedagogical activity (1978 - 2003)

During my post-graduate student days (1978 - 1980) I worked as a reader and a teaching assistant in basic courses in Probability Theory (Nizhny Novgorod State University, Radiophysical Department).

Since 1980 I have been working as a lecturer in the Radiophysical Department of Nizhny Novgorod State University (sub-faculty of mathematics). I gave the following basic courses:

1. The Probability Theory and Mathematical Statistics (1980 - 1988)

2.      Differential Equations (For part time students in the Radiophysical Department, NNSU, 1980 - 1983)

3.      Numerical Analysis (Gorky Polytechnic Institute,1982)

4.      The Mathematical Analysis (1988 - 1992)

5.      The Mathematical Physics (Since 1992)

I also gave the special course in Functional Analysis (1980 - 1988).

During this period I conducted practical training in various courses of mathematics, such as:

1. probability theory,

2.      mathematical analysis,

3.      mathematical physics,

4.      differential equation,

5.      analytical geometry and algebra,

6.      vector and tensor analysis,

7.      numerical analysis and computer coding (Basic, Fortran, C, Pascal).

I have published 13 booklets (of various mathematical subjects) for students.

I supervised 5 diploma thesis works (Nizhny Novgorod State University, Radiophysical Department, Mechanical and Mathematical Department)

In 1977-2001 I took a leading part in organization and conducting of student mathematical olympiads in the Radiophysical Department NNSU.

Conferences

I took part in a few all-union and international meetings and conferences:

1. ''Seminar of Petrovsky I.G. and session of MMSC'', Moscow, USSR, January 1978

2.      ''10-th All-Union Symposium in Diffraction and Wave Propagation (SDW-10)'', Vinnica, USSR, September 1990

3.      ''XVI All-Union School on Theory of Operators in Functional Spaces'', Nizhny Novgorod, Russia, September 1991

4.      Int. Conference on Optimal Control, Irkutsk, USA, October 1991

5.      ''International scientific school-seminar for post-graduates in the university of Nizhny Novgorod'', Nizhny Novgorod, Russia, 1 - 14 of June 1992

6.      Int. Conference ''Int. Noise-4 and Vibration Control'', St. Petersburg, Russia, 1993

7.      Int. Conference ''Mathematical algorithms-1'', Nizhny Novgorod, Russia, 15 of August 1994

8.      Int. ''French Conference on Acoustics'', Tuluse, France, 2 - 6 of May, 1994

9.      Int. Conference ''Mathematical algorithms-2'', Nizhny Novgorod, Russia, 26 of June1995

10.  Int. Meeting ''OCEAN'95'', San Diego, USA, 8 - 13 of October 1995

11.  ''3-rd European Conference on Underwater Acoustics'', FORTH-IACM, Heraclion, Crete, May 1996

12.  Int. Conference ''HF97'', Larichi, Italy, 21 - 24 of April 1997

13.  Int. Conference ''Acoustics of Ocean'', IORAS: Moscow, Russia, May 1998

14.  ''16-th International Congress on Acoustics and 135th Meeting ASA'98'', Seattle, Washington, 20 - 26 of June 1998

15.  ''4-th International Conference on the Theoretical and Computational Acoustics'', Trieste, Italy, May 1999

Main publications (total amount - 70)

[1]      

Morozov S.F., Smirnov I.P. Nonlinear mathematical problems of simulating and baking pulses transfer in nervous tissue, Journal of applied mathematics and mathematical physics, 1977, v.17, 1, 149 - 161.

[2]      

Alimov V.A., Gorbachev A.A., Krasilnikov V.D,.Smirnov I.P, Syz'min. A.M. Investigation of ionosphere influence on long radio-wave propagation, Geomagnetism and aeronomy, 1977, v.17, 2, 355 - 357.

[3]      

Morozov S.F., Smirnov I.P. Minimum principles in optimal control problems by stochastic processes, Applied mathematics and mechanics, 1978, v.42, 2, 233 - 244.

[4]      

Smirnov I.P. Optimal control for partially observable dynamic system with stochastic parameters, Applied mathematics and mechanics, 1979, v.43, 4, 621 - 628.

[5]      

Smirnov I.P., Morozov S.F. Optimal control problem for stochastic process, Differential equations, 1979, v.15, 5, 945 - 946.

[6]      

Smirnov I.P. On the optimal control for linear system of stochastic differential equations with the quadratic criterion, Differential equations (Differentsyalnye uravneniya), 1982, v.18, 4, 607 - 614.

[7]

Krupina A.E., Smirnov I.P. Ion-cyclotron instability in ionospheric plasma, Geomagnetism and aeronomy, 1985, v.25, 1, 146 - 148.

[8]

Smirnov I.P. Optimal time-control problem for stochastic control system, Differential equations, 1986, v.22, 2, 247 - 254.

[9]

Smirnov I.P. On control for probability of entrance of the system to the given region, Differential equations, 1990, v.26, 10, 1753 - 1758.

[10]

Smirnov I.P. Necessary conditions for optimality in the problem of entrance of stochastic control process to the given region, Differential equations, 1990, v.26, 11, 1943 - 1949.

[11]

Smirnov I.P., Khil'ko A.I. Wave form of short shock wave reflected from bubble layers in water. Journal de physique IY, Colloque C5, (suppl. JPIII,N5) may 1994, v.4, 1117 - 1120.

[12]

Smirnov I.P., Khil'ko A.I., Zorin A.Yu. Temporal characteristics of communications channels between source and receiver in inhomogeneous medium, Radiophysics and quantum electronics, 1994, v.37, 11, 1373 - 1387.

[13]

Smirnov I.P., Khil'ko A.I. The ray approximation in wave scattering by a curvilinear surface in an inhomogeneous media, Acoustical journal, 1995, v.41, 1, 139 - 145.

[14]

Smirnov I.P., Khil'ko A.I., Caruthers J.W. The existence conditions of the weakly divergent bundles in layered waveguides, Radiophysics and quantum electronics, 1999, v.42, 10, 982 - 991.

[15]

Smirnov I.P., Khil'ko A.I., Burdukovskaya V.G. On the ground of a numerical algorithm of the wave intensity calculation, Radiophysics and quantum electronics, , 1999, v.42, 12, 1172 - 1180.

[16]

Smirnov I.P., Virovlyansky A.L., Zaslavsky G.M. Theory and applications of ray chaos to the underwater acoustics, Ph. Rev. (E), 2001, Vol. 64, 036221.

[17]

Smirnov I.P. , Khil'ko A.I., Caruthers J.W. Prospects for medium-scale diffraction tomography on the shelf, Journal of Computational Acoustics, 2001, Vol. 9 , No. 2, 395 – 411.

[18]     

            Smirnov I.P., Virovlyansky A.L., Zaslavsky G.M. Sensitivity of travel time, Chaos, 2002, Vol. 12, Issue 3, 617 – 635.