Approximate Solution of Operator Equations:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1972
|
| Schlagwörter: | |
| Links: | https://doi.org/10.1007/978-94-010-2715-1 |
| Beschreibung: | 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 |
| Umfang: | 1 Online-Ressource (496p) |
| ISBN: | 9789401027151 9789401027175 |
| DOI: | 10.1007/978-94-010-2715-1 |
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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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Datensatz im Suchindex
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| any_adam_object | |
| author | Krasnoselʹskij, Mark Aleksandrovič 1920-1997 |
| author_GND | (DE-588)115703853 (DE-588)110493575 |
| author_facet | Krasnoselʹskij, Mark Aleksandrovič 1920-1997 |
| author_role | aut |
| author_sort | Krasnoselʹskij, Mark Aleksandrovič 1920-1997 |
| author_variant | m a k ma mak |
| building | Verbundindex |
| bvnumber | BV042423800 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)879622168 (DE-599)BVBBV042423800 |
| 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 |
| doi_str_mv | 10.1007/978-94-010-2715-1 |
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| id | DE-604.BV042423800 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:10:49Z |
| institution | BVB |
| isbn | 9789401027151 9789401027175 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027859217 |
| oclc_num | 879622168 |
| open_access_boolean | |
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| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (496p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1972 |
| publishDateSearch | 1972 |
| publishDateSort | 1972 |
| publisher | Springer Netherlands |
| record_format | marc |
| 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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