Publications
Book · De Gruyter eBooks · December 31, 2004
Direct Methods of Solving Multidimensional Inverse Hyperbolic Problems
Sergey Igorevich Kabanikhin, A. Satybaev, Maxim A. Shishlenin
Abstract
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.
Numerical methods in inverse problemsDifferential Equations and Boundary ProblemsSpectral Theory in Mathematical Physicsmultidimensional inverse problemslinearizationboundary control method
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