Inverse and Ill-Posed Problems Series, Direct Methods of Solving Multidimensional Inverse Hyperbolic Problems

By Maxim A Shishlenin, Sergey I Kabanikhin, Abdigany D Satybaev

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.

• Format: Hardcover
• Language: English
• ISBN: 311062737X
• ISBN13: 9783110627374
• Release Date: January 1
• Publisher: de Gruyter
• Length: 179 Pages
• Age Range: 22 years and up
• Grade Range: Postsecondary