Iterative Krylov methods for large linear systems:
Computational simulation of scientific phenomena and engineering problems often depends on solving linear systems with a large number of unknowns. This book gives insight into the construction of iterative methods for the solution of such systems and helps the reader to select the best solver for a...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2003
|
| Schriftenreihe: | Cambridge monographs on applied and computational mathematics
13 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 URL des Erstveröffentlichers |
| Zusammenfassung: | Computational simulation of scientific phenomena and engineering problems often depends on solving linear systems with a large number of unknowns. This book gives insight into the construction of iterative methods for the solution of such systems and helps the reader to select the best solver for a given class of problems. The emphasis is on the main ideas and how they have led to efficient solvers such as CG, GMRES, and BI-CGSTAB. The author also explains the main concepts behind the construction of preconditioners. The reader is encouraged to gain experience by analysing numerous examples that illustrate how best to exploit the methods. The book also hints at many open problems and as such it will appeal to established researchers. There are many exercises that motivate the material and help students to understand the essential steps in the analysis and construction of algorithms |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xiii, 221 pages) |
| ISBN: | 9780511615115 |
| DOI: | 10.1017/CBO9780511615115 |
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Datensatz im Suchindex
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| dewey-full | 511/.4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511/.4 |
| dewey-search | 511/.4 |
| dewey-sort | 3511 14 |
| dewey-tens | 510 - Mathematics |
| discipline | Informatik Mathematik |
| doi_str_mv | 10.1017/CBO9780511615115 |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:14Z |
| institution | BVB |
| isbn | 9780511615115 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029349760 |
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| physical | 1 online resource (xiii, 221 pages) |
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| publishDate | 2003 |
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| publisher | Cambridge University Press |
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| series2 | Cambridge monographs on applied and computational mathematics |
| spelling | Vorst, H. A. van der 1944- Verfasser aut Iterative Krylov methods for large linear systems Henk A. van der Vorst Cambridge Cambridge University Press 2003 1 online resource (xiii, 221 pages) txt rdacontent c rdamedia cr rdacarrier Cambridge monographs on applied and computational mathematics 13 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Computational simulation of scientific phenomena and engineering problems often depends on solving linear systems with a large number of unknowns. This book gives insight into the construction of iterative methods for the solution of such systems and helps the reader to select the best solver for a given class of problems. The emphasis is on the main ideas and how they have led to efficient solvers such as CG, GMRES, and BI-CGSTAB. The author also explains the main concepts behind the construction of preconditioners. The reader is encouraged to gain experience by analysing numerous examples that illustrate how best to exploit the methods. The book also hints at many open problems and as such it will appeal to established researchers. There are many exercises that motivate the material and help students to understand the essential steps in the analysis and construction of algorithms Iterative methods (Mathematics) Linear systems Iteration (DE-588)4123457-1 gnd rswk-swf Lineares Gleichungssystem (DE-588)4035826-4 gnd rswk-swf Krylov-Verfahren (DE-588)4425226-2 gnd rswk-swf Krylov-Verfahren (DE-588)4425226-2 s Iteration (DE-588)4123457-1 s Lineares Gleichungssystem (DE-588)4035826-4 s 1\p DE-604 Erscheint auch als Druckausgabe 978-0-521-18370-3 Erscheint auch als Druckausgabe 978-0-521-81828-5 https://doi.org/10.1017/CBO9780511615115 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Vorst, H. A. van der 1944- Iterative Krylov methods for large linear systems Iterative methods (Mathematics) Linear systems Iteration (DE-588)4123457-1 gnd Lineares Gleichungssystem (DE-588)4035826-4 gnd Krylov-Verfahren (DE-588)4425226-2 gnd |
| subject_GND | (DE-588)4123457-1 (DE-588)4035826-4 (DE-588)4425226-2 |
| title | Iterative Krylov methods for large linear systems |
| title_auth | Iterative Krylov methods for large linear systems |
| title_exact_search | Iterative Krylov methods for large linear systems |
| title_full | Iterative Krylov methods for large linear systems Henk A. van der Vorst |
| title_fullStr | Iterative Krylov methods for large linear systems Henk A. van der Vorst |
| title_full_unstemmed | Iterative Krylov methods for large linear systems Henk A. van der Vorst |
| title_short | Iterative Krylov methods for large linear systems |
| title_sort | iterative krylov methods for large linear systems |
| topic | Iterative methods (Mathematics) Linear systems Iteration (DE-588)4123457-1 gnd Lineares Gleichungssystem (DE-588)4035826-4 gnd Krylov-Verfahren (DE-588)4425226-2 gnd |
| topic_facet | Iterative methods (Mathematics) Linear systems Iteration Lineares Gleichungssystem Krylov-Verfahren |
| url | https://doi.org/10.1017/CBO9780511615115 |
| work_keys_str_mv | AT vorsthavander iterativekrylovmethodsforlargelinearsystems |