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25 Remote Warehouse Mathematics- Differential Equations

Studies in Cognitive Systems #301: Ill-Posed Problems: Theory and Applications

by A. B. Bakushinskii

Studies in Cognitive Systems #301: Ill-Posed Problems: Theory and Applications Cover

Synopses & Reviews

Publisher Comments:

This volume presents a unified approach to the solution of ill-posed problems, based on the concept of a regularizing algorithm (RA). This idea is then explored in depth in the discussion of topics such as common conditions for the existence of regularizing algorithms, necessary and sufficient conditions of the approximations for linear problems, and the principle of iterative regularization for nonlinear problems. The majority of these issues have not previously been discussed in a monograph on ill-posed problems. The efficiency of many of the suggested algorithms will prove useful in their application to a wide range of practical problems. This volume can be read by anyone with a basic knowledge of functional analysis. This book will be of interest to applied mathematicians, engineers, and specialists in inverse problems.

Book News Annotation:

Presents a unified approach to the solution of ill-posed problems based on the concept of a regularizing algorithm. Discusses in depth such topics as the common conditions for the existence of regularizing algorithms, necessary and sufficient conditions of the approximations for linear problems, and the principle of iterative regularization for nonlinear problems. Addressed to applied mathematicians, engineers, specialists in inverse problems, and other with a good foundation in functional analysis. Not a translation of the authors' work in Russian, but based on it.
Annotation c. Book News, Inc., Portland, OR (booknews.com)

Product Details

ISBN:
9780792330738
Subtitle:
Theory and Applications
Author:
Bakushinskii, A. B.
Author:
Goncharsky, A.
Publisher:
Kluwer Academic Publishers
Subject:
Differential equations, partial
Subject:
Approximation theory
Subject:
Differential Equations - Partial Differential Equations
Subject:
Number Systems
Subject:
Chemistry - General
Series:
Studies in Cognitive Systems
Series Volume:
301
Publication Date:
September 1994
Binding:
Hardcover
Language:
English
Pages:
272
Dimensions:
9.21x6.14x.63 in. 1.23 lbs.

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