Numerical Analysis in Modern Scientific Computing: An Introduction
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
2003
|
| Ausgabe: | Second Edition |
| Schriftenreihe: | Texts in Applied Mathematics
43 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This introductory book directs the reader to a selection of useful elementary numerical algorithms on a reasonably sound theoretical basis, built up within the text. The primary aim is to develop algorithmic thinking-emphasizing long-living computational concepts over fast changing software issues. The guiding principle is to explain modern numerical analysis concepts applicable in complex scientific computing at much simpler model problems. For example, the two adaptive techniques in numerical quadrature elaborated here carry the germs for either exploration methods or multigrid methods in differential equations, which are not treated here. The presentation draws on geometrical intuition wherever appropriate, supported by large number of illustrations. Numerous exercises are included for further practice and improved understanding. This text will appeal to undergraduate and graduate students as well as researchers in mathematics, computer science, science, and engineering. At the same time, it is addressed to practical computational scientists who, via self-study, wish to become acquainted with modern concepts of numerical analysis and scientific computing on an elementary level. The sole prerequisite is undergraduate knowledge in linear algebra and calculus |
| Beschreibung: | 1 Online-Ressource (XVIII, 340 p) |
| ISBN: | 9780387215846 9781441929907 |
| ISSN: | 0939-2475 |
| DOI: | 10.1007/978-0-387-21584-6 |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 518 - Numerical analysis |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-0-387-21584-6 |
| edition | Second Edition |
| format | Electronic eBook |
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| spelling | Deuflhard, Peter Verfasser aut Numerical Analysis in Modern Scientific Computing An Introduction by Peter Deuflhard, Andreas Hohmann Second Edition New York, NY Springer New York 2003 1 Online-Ressource (XVIII, 340 p) txt rdacontent c rdamedia cr rdacarrier Texts in Applied Mathematics 43 0939-2475 This introductory book directs the reader to a selection of useful elementary numerical algorithms on a reasonably sound theoretical basis, built up within the text. The primary aim is to develop algorithmic thinking-emphasizing long-living computational concepts over fast changing software issues. The guiding principle is to explain modern numerical analysis concepts applicable in complex scientific computing at much simpler model problems. For example, the two adaptive techniques in numerical quadrature elaborated here carry the germs for either exploration methods or multigrid methods in differential equations, which are not treated here. The presentation draws on geometrical intuition wherever appropriate, supported by large number of illustrations. Numerous exercises are included for further practice and improved understanding. This text will appeal to undergraduate and graduate students as well as researchers in mathematics, computer science, science, and engineering. At the same time, it is addressed to practical computational scientists who, via self-study, wish to become acquainted with modern concepts of numerical analysis and scientific computing on an elementary level. The sole prerequisite is undergraduate knowledge in linear algebra and calculus Mathematics Computer science / Mathematics Numerical analysis Engineering Numerical Analysis Theoretical, Mathematical and Computational Physics Computational Intelligence Computational Mathematics and Numerical Analysis Informatik Ingenieurwissenschaften 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 Hohmann, Andreas Sonstige oth https://doi.org/10.1007/978-0-387-21584-6 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 | Deuflhard, Peter Numerical Analysis in Modern Scientific Computing An Introduction Mathematics Computer science / Mathematics Numerical analysis Engineering Numerical Analysis Theoretical, Mathematical and Computational Physics Computational Intelligence Computational Mathematics and Numerical Analysis Informatik Ingenieurwissenschaften Mathematik Numerische Mathematik (DE-588)4042805-9 gnd |
| subject_GND | (DE-588)4042805-9 (DE-588)4123623-3 |
| title | Numerical Analysis in Modern Scientific Computing An Introduction |
| title_auth | Numerical Analysis in Modern Scientific Computing An Introduction |
| title_exact_search | Numerical Analysis in Modern Scientific Computing An Introduction |
| title_full | Numerical Analysis in Modern Scientific Computing An Introduction by Peter Deuflhard, Andreas Hohmann |
| title_fullStr | Numerical Analysis in Modern Scientific Computing An Introduction by Peter Deuflhard, Andreas Hohmann |
| title_full_unstemmed | Numerical Analysis in Modern Scientific Computing An Introduction by Peter Deuflhard, Andreas Hohmann |
| title_short | Numerical Analysis in Modern Scientific Computing |
| title_sort | numerical analysis in modern scientific computing an introduction |
| title_sub | An Introduction |
| topic | Mathematics Computer science / Mathematics Numerical analysis Engineering Numerical Analysis Theoretical, Mathematical and Computational Physics Computational Intelligence Computational Mathematics and Numerical Analysis Informatik Ingenieurwissenschaften Mathematik Numerische Mathematik (DE-588)4042805-9 gnd |
| topic_facet | Mathematics Computer science / Mathematics Numerical analysis Engineering Numerical Analysis Theoretical, Mathematical and Computational Physics Computational Intelligence Computational Mathematics and Numerical Analysis Informatik Ingenieurwissenschaften Mathematik Numerische Mathematik Lehrbuch |
| url | https://doi.org/10.1007/978-0-387-21584-6 |
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