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Approximate Solution of Operator Equations

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

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Approximate Solution of Operator Equations

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

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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Page Count

495

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Springer Science & Business Media

Published Date

ISBN 10

9401027153

ISBN 13

9789401027151

Approximate Solution of Operator Equations

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

Write a review Read reviews Take a Quiz Solve Book Puzzle

Approximate Solution of Operator Equations

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

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.

Average ratings

N/A

5

0%

4

0%

3

0%

2

0%

1

0%

Solve jigsaw puzzle

Age

Page Count

495

Publisher

Springer Science & Business Media

Published Date

ISBN 10

9401027153

ISBN 13

9789401027151