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