Introduction to Numerical Analysis:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1993
|
| Ausgabe: | Second Edition |
| Schriftenreihe: | Texts in Applied Mathematics
12 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | On the occasion of this new edition, the text was enlarged by several new sections. Two sections on B-splines and their computation were added to the chapter on spline functions: Due to their special properties, their flexibility, and the availability of well-tested programs for their computation, B-splines play an important role in many applications. Also, the authors followed suggestions by many readers to supplement the chapter on elimination methods with a section dealing with the solution of large sparse systems of linear equations. Even though such systems are usually solved by iterative methods, the realm of elimination methods has been widely extended due to powerful techniques for handling sparse matrices. We will explain some of these techniques in connection with the Cholesky algorithm for solving positive definite linear systems. The chapter on eigenvalue problems was enlarged by a section on the Lanczos algorithm; the sections on the LR and QR algorithm were rewritten and now contain a description of implicit shift techniques. In order to some extent take into account the progress in the area of ordinary differential equations, a new section on implicit differential equations and differential-algebraic systems was added, and the section on stiff differential equations was updated by describing further methods to solve such equations |
| Beschreibung: | 1 Online-Ressource (XIII, 660 p) |
| ISBN: | 9781475722727 9781475722741 |
| ISSN: | 0939-2475 |
| DOI: | 10.1007/978-1-4757-2272-7 |
Internformat
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| 245 | 1 | 0 | |a Introduction to Numerical Analysis |c by J. Stoer, R. Bulirsch |
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| 490 | 1 | |a Texts in Applied Mathematics |v 12 |x 0939-2475 | |
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| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Numerical analysis | |
| 650 | 4 | |a Numerical Analysis | |
| 650 | 4 | |a Mathematik | |
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Datensatz im Suchindex
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| author | Stoer, J. |
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| dewey-full | 518 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 518 - Numerical analysis |
| dewey-raw | 518 |
| dewey-search | 518 |
| dewey-sort | 3518 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4757-2272-7 |
| edition | Second Edition |
| format | Electronic eBook |
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| spelling | Stoer, J. Verfasser aut Introduction to Numerical Analysis by J. Stoer, R. Bulirsch Second Edition New York, NY Springer New York 1993 1 Online-Ressource (XIII, 660 p) txt rdacontent c rdamedia cr rdacarrier Texts in Applied Mathematics 12 0939-2475 On the occasion of this new edition, the text was enlarged by several new sections. Two sections on B-splines and their computation were added to the chapter on spline functions: Due to their special properties, their flexibility, and the availability of well-tested programs for their computation, B-splines play an important role in many applications. Also, the authors followed suggestions by many readers to supplement the chapter on elimination methods with a section dealing with the solution of large sparse systems of linear equations. Even though such systems are usually solved by iterative methods, the realm of elimination methods has been widely extended due to powerful techniques for handling sparse matrices. We will explain some of these techniques in connection with the Cholesky algorithm for solving positive definite linear systems. The chapter on eigenvalue problems was enlarged by a section on the Lanczos algorithm; the sections on the LR and QR algorithm were rewritten and now contain a description of implicit shift techniques. In order to some extent take into account the progress in the area of ordinary differential equations, a new section on implicit differential equations and differential-algebraic systems was added, and the section on stiff differential equations was updated by describing further methods to solve such equations Mathematics Numerical analysis Numerical Analysis Mathematik Numerische Mathematik (DE-588)4042805-9 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Numerische Mathematik (DE-588)4042805-9 s 2\p DE-604 Bulirsch, R. Sonstige oth Texts in Applied Mathematics 12 (DE-604)BV002476038 12 https://doi.org/10.1007/978-1-4757-2272-7 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 |
| spellingShingle | Stoer, J. Introduction to Numerical Analysis Texts in Applied Mathematics Mathematics Numerical analysis Numerical Analysis Mathematik Numerische Mathematik (DE-588)4042805-9 gnd |
| subject_GND | (DE-588)4042805-9 (DE-588)4123623-3 |
| title | Introduction to Numerical Analysis |
| title_auth | Introduction to Numerical Analysis |
| title_exact_search | Introduction to Numerical Analysis |
| title_full | Introduction to Numerical Analysis by J. Stoer, R. Bulirsch |
| title_fullStr | Introduction to Numerical Analysis by J. Stoer, R. Bulirsch |
| title_full_unstemmed | Introduction to Numerical Analysis by J. Stoer, R. Bulirsch |
| title_short | Introduction to Numerical Analysis |
| title_sort | introduction to numerical analysis |
| topic | Mathematics Numerical analysis Numerical Analysis Mathematik Numerische Mathematik (DE-588)4042805-9 gnd |
| topic_facet | Mathematics Numerical analysis Numerical Analysis Mathematik Numerische Mathematik Lehrbuch |
| url | https://doi.org/10.1007/978-1-4757-2272-7 |
| volume_link | (DE-604)BV002476038 |
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