Direct Methods of Solving Multidimensional Inverse Hyperbolic Problems
Download or Read eBook Direct Methods of Solving Multidimensional Inverse Hyperbolic Problems PDF 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.
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) |
Book Synopsis Direct Methods of Solving Multidimensional Inverse Hyperbolic Problems by : Sergey I. Kabanikhin
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.