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Bakushinsky, Anatoly B. / Kokurin, Mikhail M. / Kokurin, Mikhail Yu.

Regularization Algorithms for Ill-Posed Problems

Series:Inverse and Ill-Posed Problems Series 61

    119,95 € / $137.99 / £109.00*

    Hardcover
    Publication Date:
    February 2018
    ISBN
    978-3-11-055630-8
    See all formats and pricing

    Overview

    • Presents the state of the art on algorithms and methods for the regularization of ill-posed problems.
    • Utilizes modern functional analytic techniques.
    • Of interest to researchers and graduate students working in inverse and ill-posed problems.

    Aims and Scope

    This specialized and authoritative book contains an overview of modern approaches to constructing approximations to solutions of ill-posed operator equations, both linear and nonlinear. These approximation schemes form a basis for implementable numerical algorithms for the stable solution of operator equations arising in contemporary mathematical modeling, and in particular when solving inverse problems of mathematical physics. The book presents in detail stable solution methods for ill-posed problems using the methodology of iterative regularization of classical iterative schemes and the techniques of finite dimensional and finite difference approximations of the problems under study. Special attention is paid to ill-posed Cauchy problems for linear operator differential equations and to ill-posed variational inequalities and optimization problems. The readers are expected to have basic knowledge in functional analysis and differential equations. The book will be of interest to applied mathematicians and specialists in mathematical modeling and inverse problems, and also to advanced students in these fields.

    Contents
    Introduction
    Regularization Methods For Linear Equations
    Finite Difference Methods
    Iterative Regularization Methods
    Finite-Dimensional Iterative Processes
    Variational Inequalities and Optimization Problems

    Details

    24.0 x 17.0 cm
    xvi, 326 pages
    2 Fig.
    Language:
    English
    Type of Publication:
    Monograph
    Keyword(s):

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    Anatoly B. Bakushinsky, Russian Academy of Sciences, Russia; Mihail M. Kokurin and Mihail Yu. Kokurin, Mari State University, Russia.

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