Accession Number : ADA307873

Title :   Mathematical Algorithms for Multi-Dimensional Inverse Scattering Problems in Inhomogeneous Media.

Descriptive Note : Final technical rept. 1 Oct 91-30 Sep 95,

Corporate Author : NORTH CAROLINA UNIV AT CHARLOTTE DEPT OF MATHEMATICS

Personal Author(s) : Klibanov, Michael V.

PDF Url : ADA307873

Report Date : 01 MAY 1996

Pagination or Media Count : 6

Abstract : A number of numerical methods for multi-dimensional inverse scattering problems was developed theoretically, and some of them were tested computationally. Some related results on numerical methods for ill-posed Cauchy problems and phase retrieval problems were developed. The most promising direction of this research is an idea of the so- called 'Carleman's Weight Method'. This idea allows one to construct globablly convex cost functionals for a number of multi-dimensional inverse scattering problems.

Descriptors :   *ALGORITHMS, *INVERSE SCATTERING, MATHEMATICAL MODELS, COMPUTATIONS, WEIGHTING FUNCTIONS, THREE DIMENSIONAL, PARTIAL DIFFERENTIAL EQUATIONS, CONVERGENCE, NUMERICAL METHODS AND PROCEDURES, CAUCHY PROBLEM.

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE