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GLOBAL CONVERGENCE AND QUASI REVERSIBILITY FOR COEFFICIENT INVERSE PROBLEMS
Title
GLOBAL CONVERGENCE AND QUASI REVERSIBILITY FOR COEFFICIENT INVERSE PROBLEMS
Author
Kuzhuget, Andrey
Date Created
2011
Subjects--Topical
Mathematics
Description
An inverse problem of the determination of an initial condition in ahyperbolic equation from the lateral Cauchy data is considered. Thisproblem has applications to the thermoacoustic tomography, as wellas to linearized coefficient inverse problems...
Globally convergent numerical methods for several inverse problems based on Carleman estimates
Title
Globally convergent numerical methods for several inverse problems based on Carleman estimates
Author
Le, Thi Thu Thuy
Date Created
2023
Subjects--Topical
Mathematics
Description
This dissertation focuses on developing efficient numerical methods and theoretical analysis for solving various inverse problems that arise in the fields of mathematics, physics, engineering, and beyond. The goal of inverse problems is to explore...
SOLUTION OF A 1-D INVERSE PROBLEM BY THE CONVEXIFICATION METHOD
Title
SOLUTION OF A 1-D INVERSE PROBLEM BY THE CONVEXIFICATION METHOD
Author
Abney, Ray
Date Created
2019
Subjects--Topical
Mathematics, Physics
Description
In this thesis, we demonstrate a method outlined by Dr. Mikhail Klibanov for solving a 1-D coefficient inverse problem by the convexification method. Our inverse problem in question concerns finding buried bombs, where the dielectric constants of ...