Direct Methods of Solving Multidimensional Inverse Hyperbolic Problems
Author | : Sergey I. Kabanikhin |
Publisher | : Walter de Gruyter |
Total Pages | : 188 |
Release | : 2013-04-09 |
Genre | : Mathematics |
ISBN | : 3110960710 |
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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.