Surname First Name(s): Kabanikhin (in passport Kabanikhine) Affiliation and official address: Sobolev Institute of Mathematics |

Date and place of birth:

27 December, 1952, Batagai, Yakutskaya ASSR.Nationality:

RussianEducation (degrees, dates, universities):

B.S., 1973, Novosibirsk State University

M.S., 1975, Novosibirsk State University

Ph.D., 1978 Computer Center,

Siberian Branch of Russian Academy of Science

Dr.Sci., 1990, Institute of Mathematics, Siberian Branch of Russian Academy

of ScienceCareer/Employment

(employers, positions and dates):Computer Center, Research Scientist, 1975 - 1984

Computer Center, Senior Research Scientist, 1984 - 1987

Institute of Mathematics, Senior Research Scientist, 1987 - 1990

Institute of Mathematics, Chief Research Scientist, 1990 - present time

Novosibirsk State University, Assistent Professor, 1978 - 1981

Novosibirsk State University, Associate Professor, 1981 - 1990

Novosibirsk State University, Full Professor, 1990 - present timeInvited temporary positions

Geophysical Institute of Prague, Senior visiting scientist, 1984

Mathematical Institute of Bulgarian Academy of Science, Sofia,

Senior visiting scientist, 1989

Kazakh Branch of All Union Institute of Prospecting Geophysics,

Alma-Ata, Visiting Scientist, 1990, 1991, 1992

All Union Institute of Geophysics and Well-Logging, Tver, Visiting Scientist,

1990, 1991

Royal Institute of Technology, Stockholm, Visiting Professor, 1992, 1994, 1996

Milan University, Visiting Professor, 1990, 1992, 1993, 1997, 1999, 2001

Florence University, Visiting Professor, 1990, 1992, 1993

Kyoto University, Visiting Professor, 1993.

Perugia University, Visiting Professor, 1993.

Cambridge University, Visiting Professor, 1994

Tokyo University, Full Professor, September 1999-September 2000.

Hangzhou University, China, December 2000- January 2001.Specialization (specify):

(i) main field: Inverse problems of mathematical physics,

numerical analysis of inverse and ill-posed problems

(ii) other fields: Inverse problems in Geophysics, computerized

tomography, numerical methods

(iii) current reseach interests: Numerical analysis of inverse problems

Honours, Awards, Fellowships, Membership of Professional Societies

Member of Siberian Mathematical Society,

Member of American Mathematical Society,

Publications

- Number of papers in refereed journals: 40

- Number of communications to scientific meetings: 24

- Books: 5Recent selected publications:

MONOGRAPHS1. Inverse problems of elecrodynamics, Novosibirsk, Computer

Center, 1984 (with V.G.Romanov and T.P.Pukhnacheva, in Russian).

2. Projection-difference methods of determining of hyperbolic

equations coefficients, Nauka, Novosibirsk, 1989.

3. Inverse problems of geoelectrics, Moscow, Nauka, 1991

(with V.G.Romanov, in Russian).

4. Inverse problems for Maxwell's equations,

Utrecht, The Netherlands, VSP, 1994

(with V.G.Romanov).

5. Identification problems of wave phenomena.

Utrecht, The Netherlands, VSP, 1999

(with A. Lorenzi).

LIST OF SCIENTIFICAL PAPERS1. Kabanikhin S.I., 1976. On a formulation of the two-dimensional inverse

problem for an oscillation equation. In: Incorrect Mathematical

problems and problems of Geophysics., Novosibirsk, pp. 64-73.

2. Kabanikhin S.I., 1977. A finite-difference inverse problem

regularisation for an oscillation equation. In: Problems of

correctness in mathemtical physics., Novosibirsk, pp. 57-69

(in Russian).

3. Kabanikhin S.I., 1979. Solvability of one dynamical inverse problem of

seismology. In: Conditionally Correct mathematical problems and

problems of Geophysics., Novosibirsk, pp. 43-51 (in Russian).

4. Kabanikhin S.I., 1979. Application of energy inequalities to an

inverse problem for a hyperbolic equation. Differential Equat. 15,

61-67 (in Russian).

5. Kabanikhin S.I. Finite-difference regularization of the inverse problem

for an oscillation equation. In: Problems of Correctness of Problems

Math. Physics, Novosibirsk, V.Ts. SO AN SSSR,1979, pp.57-69.

6. Kabanikhin S.I.On the finite-difference method of determining the

coefficient of a hyperbolic system. Zh.V.M. i M.F., 1979, v. 19, N 2,

pp. 417-425

7. The finite-difference method of determining the coefficient of

a hyperbolic system of 1-st kind. In: Uniqueness, stability and

method of solving inverse and incorrect problems. Novosibirsk,

V.Ts. SO AN SSSR,1979, pp. 36-44.

8. Kabanikhin S.I., 1980. The finite-difference method for

determining the coefficients of a hyperbolic methods for determining

thee coefficients of a hyperbolic system of the first kind. In:

Uniqueness, stability and methods of solving inverse and ill-posed

prblems., Novosibirsk, pp. 36-43 (in Russian).

9. Kabanikhin S.I., 1981. A problem of determining the cofficients

of the acoustics equation. In: Nonclassical problems of mathemtical

physics. Computer Cent., Akad. Sci. USSR, Novosibirsk, pp. 93-100

(in Russian).

10. Kabanikhin S.I., 1981. An approximate method for solving in

inverse problem for the acoustics equation. In: Approximate solution

methods and questions of the well-posedness of inverse problems.

Comput. Cent., Akad. Sci. USSR, Novosibirsk, pp. 55-62 (in Russian)

11. Kabanikhin S.I., Abdiev K.S., 1982. Modeling the initial stage

of electromagnetic current establishment and using this in the problem

of defining the conductivity tensor. In: Questions of correctness of

math. phys. and analysis problem. Computer Center, Sib. Br., Ac. Sci.

USSR, Novosibirsk, pp. 85-94.

12. Kabanikhin S.I., Boboev K., 1982. A finite difference method for

cut determination in Pn-approximations of non-stationary kinetic

transfer equation. In: Metods of solving of the Ill-posed problems.,

Novosibirsk, pp. 213-217 (in Russian).

13. Kabanikhin S.I., Zh.A.Akhmetov.Finite-difference regularization

of the inverse problem for hyperbolic sistem of the 1-st order.

In: Method of solving inverse problems. Novosibirsk,1983, pp.65-74.

14. Blagoveshensky A.S., Kabanikhin S.I., 1983. Inverse problem of

the theory of wave propagation in a semi-infinite non-regular

wavequide. Differential Equations, 19, 603-607 (in Russian).

15. Kabanikhin S.I., 1983. Regularization of multidimentional

inverse problems based on the projection method. In: Theory and

methods for solving ill-posed problems and their applications.,

Nov.St.Univ., Novosibirsk, pp. 101-104 (in Russian).

16. Kabanikhin S.I. On the convergence of the project method of

solution to multi-dimentional inverse problems for hyperbolic

equations. In: Theory and method of solving inverse problems and

their applications.Novosibirsk, V.Ts. SO AN SSSR, IAM by M.V.Keldysh,

1983, pp.111-112.

17. Kabanikhin S.I. Regularization of multidimentional inverse problems

on the basis of projection method. In: Theory and method of solving

ill-posed problems and their applications.

Novosibirsk, NGU, 1983, pp.101-104.

18. Kabanikhin S.I., 1984. The solvability of inverse problems for

differential equations. Dokl. Akad. Nauk USSR, 277, 788-791

(in Russian).

19. Kabanikhin S.I., 1984. A projection method for solving

multidimentional inverse problems for hyperbolic equations. In:

Ill-posed problems of mathematical physics and analysis. Nauka, Sib.

Br., Novosibirsk, 257, pp. 55-59 (in Russian).

20. Kabanikhin S.I., 1984. A scheme of second order accuracy for the

solution of a nonlinear Volterra operator equation. In: Methods for

solving ill-posed mathematical problems and problems of geophysics.

Comp. Cent., Akad. Sci. USSR, Novosibirsk, pp. 66-75 (in Russian).

21. Kabanikhin S.I., V.I.Prijmenko, K.S.Abdiev. Algorithm of detemining

the field of surface current sourse in diffusion approximation.

In: Ill-posed Problems of Math. Physics and Analysis, Novosibirsk,

Nauka, 1984, pp. 234-235,

22. Kabanikhin S.I. Projection method of multidimentional inverse

problems for hyperbolic equations. In: Ill-posed Problems of Math.

Physics and Analysis, Novosibirsk, Nauka, 1984, pp. 55-59.

23. Kabanikhin S.I., Abdiev K.S., 1986. Projection-difference method

for solution of 3-D inverse prtoblem of geoellectrics. In: Questions

of correctness of math. phys. and analysis problem. SB AS USSR,

Novosibirsk, pp. 61-72.

24. Kabanikhin S.I. Projection-difference method of solving thee-

dimentional inverse problems of geoelectrics. In: Problems of

Correctness of Inverse Problems of Math. Physics, Novosibirsk,

V.Ts. SO AN SSSR, 1986, pp.61-72.

25. Kabanikhin S.I., Satybaev A.D., 1987. A finite-difference

algorithm for solving a mixed problem for a two-dimensional wave

equation. In: Mathematical Analysis and Differential Equations.

Novosibirsk St. Univ., Novosibirsk, pp. 39-57 (in Russian).

26. Kabanikhin S.I., 1987. Regularization of multidimensional

inverse prlblems for hyperbolic equation on the basis of a projection

method. Dokl. Akad. Nauk USSR, 292, 534-537 (in Russian).

27. Kabanikhin S.I. Martakov S.I., 1988. Investigation of the

projection-defference methods for geoelectrics. Preprint N 13, AS

USSR, Inst. of Math., Novosibirsk.

28. Kabanikhin S.I., Satybaev A.D., 1988. A finite-difference

regularization of linearized inverse problem for two-dimensional wave

equation. In: Ill-posed Problems. Institute Math., Novosibirsk, pp.

39-57 (in Russian).

29. Kabanikhin S.I., 1988. Linear regularization of multidimensional

inverse problems for hyperbolic equations. Preprint N 27, Institute

Math. Sib.Br. Ac. Sci. USSR, Novosibirsk, (in Russian).

30. Kabanikhin S.I. Martakov S.V. Investigation the project-difference

method of solving direct and inverse problems of geoelectrics. Preprint

of Inst. of Mathem. of Siber. Br. of the USSR Academy of Sci., 1988, N13,

51p.

31. Kabanikhin S.I., Martakov S.V., Tabarovskii L.A., Shiphon N.Y,

1989. Studing the dielectric permeability of medium near borehole in

the early stady process. In: Investigations on conditional correctness

of the problems of Mathematical Physics . Novosibirsk, SO AN SSSR,

Inst. of Math., pp.40-59.

32. Kabanikhin S.I., Martakov S.V., Morgunova T.Ya., and Podgornaya L.E., 1990.

Undersurface radiolocation problem for the underground investigations on

the small depths. In: Solution methods of inverse problems .

Novosibirsk, SO AN SSSR, Inst. of Math., pp. 61-72.

33. Iskakov K.T., Kabanikhin S.I., 1991. The solution of

one-dimensional inverse problem of geoelectrics by the method of

conjugate gradients. In: Russian Journal of Theoretical and Applied

Mechanics , USA, New York, N 3, pp. 78-88.

34. Kabanikhin S.I.,Lorenzi A., 1991. An identification problem related

to the integrodifferential Maxwell's equations. Inverse Problems

Printed in the UK. 863-886

35. Kabanikhin S.I. and Karchevsky A.L., 1992. Optimization Method of Solving

Inverse Problems of Geoelectrics. I lll-posed Problem in Natural Sciences.

A.Tikhonov (Ed.) VSP/TSP

36. Kabanikhin S.I., Karchevsky A.L., Lorenzi A., 1992. Lavrent'ev

Regularization of Solutions to Linear Integrodifferential Inverse Problem.

Preprint 44, Universita di Milano, Dipartimento di Matimatica.

37. S.Sh. Bimuratov, and S.I. Kabanikhin, 1992. The solution of one-dimensional

inverse problems of electrodynamics by the Newton-Kantorocivh method.

Comput. Maths Math. Phys., Vol. 32, No. 12, printed in Great Britain.

pp. 1729-1743.

38. Romanov V.G., Kabanikhin S.I. Inverse problems for Maxwell's equations,

VSP, Utrecht, The Netherlands, 1994.

39. Kabanikhin S.I., Discrete inverse problems for hyperbolic equations. Abstracts .

Inverse and ill-posed problems. International conference dedicated to

the memory of academician A.N.Tikhonov, (IIPP--96). Moscow, Dialog-MSU,

1996, p.87.

40. Kabanikhin S.I. and Bakanov G.B.,

Discrete analogy of the Gelfand-Levitan equation.

Journal of Inverse and Ill-Posed Problems (1996) vol. 4(5),

pp. 409--435.

41. Kabanikhin S.I. and Bakanov G.B., Properties of the cost function in the hyperbolic

inverse problems. Abstracts. Inverse and ill-posed problems.

International conference dedicated to the memory of academician

A.N.Tikhonov, (IIPP-96) Moscow, Dialog-MSU, 1996, p.24.

42. Kabanikhin S.I., Romanov V.G., Gottlieb J., Martakov S.V. and Schlaeger S.,

Identification of electromagnetic parameters for media with

microstructure. Abstracts of Conference on Inverse Problems of Wave

Propagation and Diffraction (September 23--27,1996), Aix-les-bains,

France, 1996, pp. 18--21.

43. Kabanikhin S.I. and Yamamoto M.,

The Gel'fand-Levitan theory for systems and its application

to nonstationary problems. Abstracts. Inverse and ill-posed problems.

International conference dedicated to the memory of academician

A.N.Tikhonov, (IIPP-96) Moscow, Dialog-MSU, 1996, p.87.

44. Kabanikhin S.I. and Bakanov G.B.,

The optimizational method for solving the discrete inverse problem

for hyperbolic equation. Journal of Inverse and Ill-Posed Problems

(1996) vol.4(6), The Netherlands, Utrecht, pp. 513--530.

45. Kabanikhin S.I., Romanov V.G., Gottlieb J. and Martakov S.V.,

An inverse problem for special dispersive media arising from ground

penetrating radar. Journal of Inverse and Ill-Posed Problems (1997)

vol 5 (2), The Netherlands, Utrecht, pp. 175--192.

46. Kabanikhin S.I.,

Discrete inverse problems for hyperbolic equations.

2-nd Saxon Symposium on Inverse Problems,

Germany, Oybin, September 24-26, 1997.

47. Alekseenko A.,M., and Kabanikhin S.I.,

Uniqueness of the stationary point for the one-dimensional inverse problem

in two-dimensional space. Journal of Inverse and Ill-Posed Problems

1998 vol. 6(2), The Netherlands, Utrecht, pp. 95--114.

48. Alekseenko A.M., and Kabanikhin S.I.,

Identification of an electromagnetic source in Magnetoencephalography.

Journal of Inverse and Ill-Posed Problems (1998)

vol. 7(5), The Netherlands, Utrecht, pp. 95--114.

49. Kabanikhin S.I., Kowar R., and Scherzer O.,

On the Landweber iteration for the solution of a parameter identification

problem in the hyperbolic partial differential equation of the second

order. Journal of Inverse and Ill-Posed Problems (1998) vol.6(5),

The Netherlands, Utrecht, pp. 403--430.

50. Kabanikhin S.I., Koptyug I.,V., Iskakov K.T., and Sagdeev R.Z.,

Inverse problem for a quasilinear equation of diffusion.

Journal of Inverse and Ill-Posed Problems (1998) vol.6(4),

The Netherlands, Utrecht, pp. 335--352.

51. Kabanikhin S.I., Karchevsky A.L.,

Optimization algorithm of solving Cauchy problem for elleptic equation.

Dokladi Rossiiskoi Akademii Nauk (1998) vol.359(4), pp. 445--447

52. Kabanikhin S.I., Romanov V.G.,

Direct and inverse problems of electromagnetoelasticity.

Physics and Chemistry of the Earth (1998) vol.23(9/10), pp. 883--894.

53. Kabanikhin S.I., and Lorenzi A.,

Identification Problems of Wave Phenomena, Uthecht, The Netherlands,

VSP, (1999), 310pp.

54. Azamatov J.S., and Kabanikhin S.I.,

Nonlinear Volterra operator equations. L2 - theory.

Journal of Inverse and Ill-Posed Problems (1999)

vol.7(6), The Netherlands, Utrecht, pp. 487--510.

55. Alekseenko A.M., and Kabanikhin S.I.,

Numerical algorithm for identification problem of magnetoencephalography.

Journal of Inverse and Ill-Posed Problems (1999)

vol.7(5), The Netherlands, Utrecht, pp. 385--408.

56. Kabanikhin S.I.,

Numerical methods for solving acoustic inverse problem.

1-st Workshop on Inverse Problems in Underwater Acoustics,

Heraklion, Crete, HELLAS, May 17-19, 1999, p. 63.

57. Kabanikhin S.I.,

Numerical analysis of hyperbolic inverse problems in L2.

Inverse and Direct Problems and Applications,

Milano -- Gargnano, Italy, April 26-30, 1999.

58. Koptyug I.V., Kabanikhin S.I., Iskakov K.T., Fenelonov V.B.,

Khitrina L.Yu., Sagdeev R.Z. and Parmon V.N. A quantitative NMR

imaging studi of mass transport in porous solids during drying

Chemical Engineering Science, Pergamon v.55, 2000. pp.1559-1571.

59. Kabanikhin S.I., Koptyug I.V., Iskakov K.T. Inverse problem for the

diffusion equation and its application to describe the sorption process.

Tokyo, Japan. 2000

60. Kabanikhin S.I., Koptyug I.V., Iskakov K.T., Sagdeev R.Z. Inverse

problem for diffusion transport of water upon single pellet moisture sorbtion.

International Journal of Nonlinear Sciences and Numerical Simulation

Shanghai Universitet v.1, 2000, pp.31-42.

61. S.I. Kabanikhin, K.T. Iskakov and

M. Yamamoto, H1- conditional stability with explicit Lipshitz

constant for a one-dimensional inverse acoustic problem.

University of Tokyo, Graduate school of mathematical sciences,

Tokyo, Japan. (to appear)