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Direct Methods of Solving Multidimensional Inverse Hyperbolic Problems

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...

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Bibliographic Details
Main Authors: Kabanikhin, Sergey I., Satybaev, Abdigany D. (Author), Shishlenin, Maxim A. (Author)
Format: eBook
Language:English
Published: Berlin De Gruyter 2013, [2013]©2004
Edition:Reprint 2013
Series:Inverse and Ill-Posed Problems Series
Subjects:
Partielle Differentialgleichung
Direct Problem
Boundary Control
Gel'fand-levitan-krein
Inverse Problems
Finite-difference Scheme Inversion
Projection
Inverses Problem
Mathematics / Differential Equations / General / Bisacsh
Linearization
Online Access:
Collection: DeGruyter MPG Collection - Collection details see MPG.ReNa
Description
Summary: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 method and prove theorems of convergence, conditional stability, and other properties of the mentioned methods
Item Description:Mode of access: Internet via World Wide Web
Physical Description:1 online resource Zahlr. Abb
ISBN:9783110960716

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