Direct Methods of Solving Multidimensional Inverse Hyperbolic Problems

Direct Methods of Solving Multidimensional Inverse Hyperbolic Problems
Author :
Publisher : Walter de Gruyter
Total Pages : 188
Release :
ISBN-10 : 9783110960716
ISBN-13 : 3110960710
Rating : 4/5 (710 Downloads)

Book Synopsis Direct Methods of Solving Multidimensional Inverse Hyperbolic Problems by : Sergey I. Kabanikhin

Download or read book Direct Methods of Solving Multidimensional Inverse Hyperbolic Problems written by Sergey I. Kabanikhin and published by Walter de Gruyter. This book was released on 2013-04-09 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


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