Approximate Solution of Operator Equations

M. A. Krasnosel'skii (u. a.)

ISBN 10: 940102717X / ISBN 13: 9789401027175

Published by Springer, 2011

Approximate Solution of Operator Equations | M. A. Krasnosel'skii (u. a.) | Taschenbuch | 496 S. | Englisch | 2011 | Springer | EAN 9789401027175 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand. Seller Inventory # 105625424

Synopsis:

One of the most important chapters in modern functional analysis is the theory of approximate methods for solution of various mathematical problems. Besides providing considerably simplified approaches to numerical methods, the ideas of functional analysis have also given rise to essentially new computation schemes in problems of linear algebra, differential and integral equations, nonlinear analysis, and so on. The general theory of approximate methods includes many known fundamental results. We refer to the classical work of Kantorovich; the investigations of projection methods by Bogolyubov, Krylov, Keldysh and Petrov, much furthered by Mikhlin and Pol'skii; Tikho­ nov's methods for approximate solution of ill-posed problems; the general theory of difference schemes; and so on. During the past decade, the Voronezh seminar on functional analysis has systematically discussed various questions related to numerical methods; several advanced courses have been held at Voronezh Uni­ versity on the application of functional analysis to numerical mathe­ matics. Some of this research is summarized in the present monograph. The authors' aim has not been to give an exhaustive account, even of the principal known results. The book consists of five chapters.

Bibliographic Details

Title: Approximate Solution of Operator Equations
Publisher: Springer
Publication Date: 2011
Binding: Taschenbuch
Condition: Neu