Introduction to Numerical Analysis
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1980
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| Online-Zugang: | Volltext |
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| 100 | 1 | |a Stoer, J. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Introduction to Numerical Analysis |c by J. Stoer, R. Bulirsch |
| 264 | 1 | |a New York, NY |b Springer New York |c 1980 | |
| 300 | |a 1 Online-Ressource (IX, 609 p) | ||
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| 500 | |a This book is based on a one-year introductory course on numerical analysis given by the authors at several universities in Germany and the United States. The authors concentrate on methods which can be worked out on a digital computer. For important topics, algorithmic descriptions (given more or less formally in ALGOL 60), as well as thorough but concise treatments of their theoretical foundations, are provided. Where several methods for solving a problem are presented, comparisons of their applicability and limitations are offered. Each comparison is based on operation counts, theoretical properties such as convergence rates, and, more importantly, the intrinsic numerical properties that account for the reliability or unreliability of an algorithm. Within this context, the introductory chapter on error analysis plays a special role because it precisely describes basic concepts, such as the numerical stability of algorithms, that are indispensable in the thorough treatment of numerical questions. The remaining seven chapters are devoted to describing numerical methods in various contexts. In addition to covering standard topics, these chapters encompass some special subjects not usually found in introductions to numerical analysis. Chapter 2, which discusses interpolation, gives an account of modern fast Fourier transform methods. In Chapter 3, extrapolation techniques for speeding up the convergence of discretization methods in connection with Romberg integration are explained at length | ||
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Datensatz im Suchindex
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| dewey-ones | 518 - Numerical analysis |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4757-5592-3 |
| format | Electronic eBook |
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| genre_facet | Lehrbuch |
| id | DE-604.BV042421667 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-24T04:23:24Z |
| institution | BVB |
| isbn | 9781475755923 9781475755947 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027857084 |
| oclc_num | 1184499508 |
| open_access_boolean | |
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| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (IX, 609 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1980 |
| publishDateSearch | 1980 |
| publishDateSort | 1980 |
| publisher | Springer New York |
| record_format | marc |
| spellingShingle | Stoer, J. Introduction to Numerical Analysis 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/10.1007/978-1-4757-5592-3 |
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