Regularization Algorithms for Ill-posed Problems - Couverture rigide

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

 
9783110556308: Regularization Algorithms for Ill-posed Problems
Couverture rigide
ISBN 10 : 3110556308 ISBN 13 : 9783110556308
Editeur : De Gruyter, 2018

Synopsis

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

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

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

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
De Gruyter
Date d'édition
2018
Langue
anglais
ISBN 10 
3110556308
ISBN 13 
9783110556308
Reliure
Relié
Nombre de pages
342
Coordonnées du fabricant
non disponible
Personne responsable
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