Sobolev Institute of Mathematics, Novosibirsk, Russia
Head of Laboratory: Prof. V.G. Romanov
Central subject of investigations is inverse problems
connected to differential equations describing the process of wave propagation (acoustic,
elastic, electromagnetic and so on). Inverse problems consist in determination of variable
coefficients of differential equations using information about the solution of these
equations. As a rule, this information is given on the boundary of some domain inside
which the coefficients are to be found. The investigation techniques of inverse problems
include, certainly, as a necessary part, a comprehensive investigation of initial boundary
value problems. The latter problems usually are called direct problems.
Main areas of research:
Investigation of uniqueness, stability and existence of
inverse problems for equations and systems of hyperbolic type including acoustic, elastic,
electrodynamic and electroelastic equations.
Construction and justification of numerical methods for
solving inverse problems. These methods include extension of the solution from the
boundary of the domain, minimization of a residual functional using conjugate gradients,
discrete analogs of Gelfand-Levitan equation.
Development of integral geometry (tomography) methods as
applied to inverse problems for elastic and electrodynamic equations (inverse kinematic
problem in linear and nonlinear variants, ray setting of inverse problems).
Development of tomographic methods based on transport
equation taking into consideration absorption and scattering. Obtaining stability theorems
and creating numerical algorithms.
Mathematical modeling of geophysical problems for
Sobolev Institute of Mathematics
630090, Novosibirsk 90,
Acad. Koptyug's Avenue, 4
Dr. A.N. Bondarenko email@example.com
Dr. T.V. Bugueva firstname.lastname@example.org
Prof. S.I. Kabanikhin email@example.com
Dr. A.L. Karchevsky firstname.lastname@example.org
Dr. O.A. Klimenko email@example.com
Dr. S.V. Martakov firstname.lastname@example.org
Dr. R.G. Mukhometov
Dr. V.I. Priimenko email@example.com
Prof. V.G. Romanov firstname.lastname@example.org
Dr. M.V. Soukhoroslova email@example.com
Prof. V.G. Yakhno firstname.lastname@example.org
Seminars usually take place on Friday afternoons at 4 p.m.
in Rm. 417, Institute of Mathematics. All welcome !
Please contact Olga Klimenko for further information,
Dr. A.N. Bondarenko
Dr. T.V. Bugueva
Prof. S.I. Kabanikhin
Dr. A.L. Karchevsky
Dr. O.A. Klimenko
Dr. S.V. Martakov
Dr. R.G. Mukhometov
Dr. V.I. Priimenko
Prof. V.G. Romanov
Dr. M.V. Soukhoroslova
Prof. V.G. Yakhno
Update: 18 Îêòÿáðü, 2001