Approximate Solution of Operator Equations

Krasnosel'skii, M.A.; Vainikko, G.M.; Zabreyko, R.P.; Ruticki, Ya.B.; Stet'senko, V.Va.

ISBN 10: 9001504035 / ISBN 13: 9789001504038

Editore: Kluwer Academic Publishers, 1972

Most items will be dispatched the same or the next working day. A copy that has been read but remains in clean condition. All of the pages are intact and the cover is intact and the spine may show signs of wear. The book may have minor markings which are not specifically mentioned. Ex library copy with usual stamps & stickers. Codice articolo wbs3251463490

Riassunto:

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.

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Titolo: Approximate Solution of Operator Equations
Casa editrice: Kluwer Academic Publishers
Data di pubblicazione: 1972
Legatura: Rilegato
Condizione: Good