Direct Methods of Solving Multidimensional Inverse Hyperbolic Problems

ISBN-13: 9783110627374 / Angielski / Twarda / 179 str.

Abdigany D. Satybaev;Maxim A. Shishlenin;Sergey I. Kabanikhin

Opis

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 methodand prove theorems of convergence, conditional stability, and other properties of the mentioned methods.