V. V. Vasin, V. N. Dubinin, V. G. Romanov, “Concluding scientific report for the project of Siberian Division of RAS: “A development of theory and computational technology for solving inverse and extremal problems with an application to mathematical physics and gravity-magneto-prospecting””, Sib. Èlektron. Mat. Izv., 2008, Volume 5,Pages <nobr>427

Reviews

Concluding scientific report for the project of Siberian Division of RAS: “A development of theory and computational technology for solving inverse and extremal problems with an application to mathematical physics and gravity-magneto-prospecting”

V. V. Vasin^a, V. N. Dubinin^b, V. G. Romanov^c

^a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
^b Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences
^c Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Abstract: Investigations of inverse problems for differential or integro-differential equations are presented. Methods of numerical solutions for these problems are developed. These methods are used in some applied problems.

Keywords: inverse and ill-posed problems, Cauchy problem, electrodynamics, elasticity, transport equation, stability estimates, uniqueness, numerical methods.

UDC: 517.54, 517.956, 517.958

MSC: 35L20, 35R30, 35Q99

Received September 1, 2008, published November 24, 2008