Direct Methods of Solving Multidimensional Inverse Hyperbolic Problems
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Beschreibung
The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.
The authors consider dynamic types of inverse problems in which the additional information is given by the trace of the direct problem on a (usually time-like) surface of the domain. They discuss theoretical and numerical background of the finite-difference scheme inversion, the linearization method, the method of Gel'fand-Levitan-Krein, the boundary control method, and the projection methodand prove theorems of convergence, conditional stability, and other properties of the mentioned methods.
Autor*in
Sergey I. Kabanikhin
Themen in »Direct Methods of Solving Multidimensional Inverse Hyperbolic Problems«
Boundary Control Direct Problem Finite-Difference Scheme Inversion Gel'fand-Levitan-Krein Inverse Problems Linearization Projection Inverses Problem Partielle Differentialgleichung