Optimal Methods For Ill Posed Problems
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Optimal Methods for Ill-Posed Problems
Author: Vitalii P. Tanana
language: en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date: 2018-03-19
The book covers fundamentals of the theory of optimal methods for solving ill-posed problems, as well as ways to obtain accurate and accurate-by-order error estimates for these methods. The methods described in the current book are used to solve a number of inverse problems in mathematical physics. Contents Modulus of continuity of the inverse operator and methods for solving ill-posed problems Lavrent’ev methods for constructing approximate solutions of linear operator equations of the first kind Tikhonov regularization method Projection-regularization method Inverse heat exchange problems
Computational Methods for Inverse Problems
Provides a basic understanding of both the underlying mathematics and the computational methods used to solve inverse problems.