Direct Methods of Solving Multidimensional Inverse Hyperbolic Problems
Author | : Sergey I. Kabanikhin |
Publisher | : Walter de Gruyter |
Total Pages | : 188 |
Release | : 2013-04-09 |
ISBN-10 | : 9783110960716 |
ISBN-13 | : 3110960710 |
Rating | : 4/5 (16 Downloads) |
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.