Approximate Solution of Operator Equations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Dordrecht
Springer Netherlands
1972
|
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | 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; Tikhonov'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 University on the application of functional analysis to numerical mathematics. 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 |
| Physical Description: | 1 Online-Ressource (496p) |
| ISBN: | 9789401027151 9789401027175 |
| DOI: | 10.1007/978-94-010-2715-1 |
Staff View
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| 245 | 1 | 0 | |a Approximate Solution of Operator Equations |c by M. A. Krasnoselʹskii, G. M. Vainikko, P. P. Zabreiko, Ya. B. Rutitskii, V. Ya. Stetsenko |
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| 500 | |a 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; Tikhonov'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 University on the application of functional analysis to numerical mathematics. 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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| 700 | 1 | |a Stetsenko, V. Ya |e Sonstige |4 oth | |
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Record in the Search Index
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| author | Krasnoselʹskij, Mark Aleksandrovič 1920-1997 |
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| author_facet | Krasnoselʹskij, Mark Aleksandrovič 1920-1997 |
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| author_variant | m a k ma mak |
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| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| isbn | 9789401027151 9789401027175 |
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| spelling | Krasnoselʹskij, Mark Aleksandrovič 1920-1997 Verfasser (DE-588)115703853 aut Approximate Solution of Operator Equations by M. A. Krasnoselʹskii, G. M. Vainikko, P. P. Zabreiko, Ya. B. Rutitskii, V. Ya. Stetsenko Dordrecht Springer Netherlands 1972 1 Online-Ressource (496p) txt rdacontent c rdamedia cr rdacarrier 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; Tikhonov'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 University on the application of functional analysis to numerical mathematics. 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 Mathematics Mathematics, general Mathematik Approximation (DE-588)4002498-2 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Operatorgleichung (DE-588)4043601-9 gnd rswk-swf Näherungsverfahren (DE-588)4206467-3 gnd rswk-swf Operatorgleichung (DE-588)4043601-9 s Näherungsverfahren (DE-588)4206467-3 s 1\p DE-604 Numerisches Verfahren (DE-588)4128130-5 s 2\p DE-604 Approximation (DE-588)4002498-2 s 3\p DE-604 Vainikko, G. M. Sonstige oth Zabrejko, Petr Petrovič 1939- Sonstige (DE-588)110493575 oth Rutitskii, Ya. B. Sonstige oth Stetsenko, V. Ya Sonstige oth https://doi.org/10.1007/978-94-010-2715-1 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Krasnoselʹskij, Mark Aleksandrovič 1920-1997 Approximate Solution of Operator Equations Mathematics Mathematics, general Mathematik Approximation (DE-588)4002498-2 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Operatorgleichung (DE-588)4043601-9 gnd Näherungsverfahren (DE-588)4206467-3 gnd |
| subject_GND | (DE-588)4002498-2 (DE-588)4128130-5 (DE-588)4043601-9 (DE-588)4206467-3 |
| title | Approximate Solution of Operator Equations |
| title_auth | Approximate Solution of Operator Equations |
| title_exact_search | Approximate Solution of Operator Equations |
| title_full | Approximate Solution of Operator Equations by M. A. Krasnoselʹskii, G. M. Vainikko, P. P. Zabreiko, Ya. B. Rutitskii, V. Ya. Stetsenko |
| title_fullStr | Approximate Solution of Operator Equations by M. A. Krasnoselʹskii, G. M. Vainikko, P. P. Zabreiko, Ya. B. Rutitskii, V. Ya. Stetsenko |
| title_full_unstemmed | Approximate Solution of Operator Equations by M. A. Krasnoselʹskii, G. M. Vainikko, P. P. Zabreiko, Ya. B. Rutitskii, V. Ya. Stetsenko |
| title_short | Approximate Solution of Operator Equations |
| title_sort | approximate solution of operator equations |
| topic | Mathematics Mathematics, general Mathematik Approximation (DE-588)4002498-2 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Operatorgleichung (DE-588)4043601-9 gnd Näherungsverfahren (DE-588)4206467-3 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Approximation Numerisches Verfahren Operatorgleichung Näherungsverfahren |
| url | https://doi.org/10.1007/978-94-010-2715-1 |
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