Introduction to Numerical Analysis:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1980
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 |
| Beschreibung: | 1 Online-Ressource (IX, 609 p) |
| ISBN: | 9781475755923 9781475755947 |
| DOI: | 10.1007/978-1-4757-5592-3 |
Internformat
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| 245 | 1 | 0 | |a Introduction to Numerical Analysis |c by J. Stoer, R. Bulirsch |
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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 | 10.1007/978-1-4757-5592-3 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T01:21:09Z |
| institution | BVB |
| isbn | 9781475755923 9781475755947 |
| language | English |
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| spelling | Stoer, J. Verfasser aut Introduction to Numerical Analysis by J. Stoer, R. Bulirsch New York, NY Springer New York 1980 1 Online-Ressource (IX, 609 p) txt rdacontent c rdamedia cr rdacarrier 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 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 https://doi.org/10.1007/978-1-4757-5592-3 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 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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