Fourier analysis of numerical approximations of hyperbolic equations:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Philadelphia, Pa.
Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104)
1982
|
| Schriftenreihe: | SIAM studies in applied mathematics
5 |
| Schlagworte: | |
| Online-Zugang: | TUM01 UBW01 UBY01 UER01 Volltext |
| Beschreibung: | Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader Includes bibliographical references (s. 131-135) and index Introduction -- Fourier analysis of the accuracy of semi-discretizations -- Higher order semi-discretizations -- Full discretizations - Damping; Diffusion and filtering -- Group velocity -- Time-Fourier transforms -- Fourier analysis and L2-norm of the global error -- Spectral methods -- Equations in two dimensions: Anisotrophy There has been a growing interest in the use of Fourier analysis to examine questions of accuracy and stability of numerical methods for solving partial differential equations. This kind of analysis can produce particularly attractive and useful results for hyperbolic equations. This book provides useful reference material for those concerned with computational fluid dynamics: for physicists and engineers who work with computers in the analysis of problems in such diverse fields as hydraulics, gas dynamics, plasma physics, numerical weather prediction, and transport processes in engineering, and who need to understand the implications of the approximations they use; and for applied mathematicians concerned with the more theoretical aspects of these computations |
| Beschreibung: | 1 Online-Ressource (xii, 135 Seiten) |
| ISBN: | 9780898713923 0898713927 |
| DOI: | 10.1137/1.9781611970876 |
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| 245 | 1 | 0 | |a Fourier analysis of numerical approximations of hyperbolic equations |c Robert Vichnevetsky and John B. Bowles ; with a foreword by Garrett Birkhoff |
| 264 | 1 | |a Philadelphia, Pa. |b Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) |c 1982 | |
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| 500 | |a Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader | ||
| 500 | |a Includes bibliographical references (s. 131-135) and index | ||
| 500 | |a Introduction -- Fourier analysis of the accuracy of semi-discretizations -- Higher order semi-discretizations -- Full discretizations - Damping; Diffusion and filtering -- Group velocity -- Time-Fourier transforms -- Fourier analysis and L2-norm of the global error -- Spectral methods -- Equations in two dimensions: Anisotrophy | ||
| 500 | |a There has been a growing interest in the use of Fourier analysis to examine questions of accuracy and stability of numerical methods for solving partial differential equations. This kind of analysis can produce particularly attractive and useful results for hyperbolic equations. This book provides useful reference material for those concerned with computational fluid dynamics: for physicists and engineers who work with computers in the analysis of problems in such diverse fields as hydraulics, gas dynamics, plasma physics, numerical weather prediction, and transport processes in engineering, and who need to understand the implications of the approximations they use; and for applied mathematicians concerned with the more theoretical aspects of these computations | ||
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Datensatz im Suchindex
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| author | Vichnevetsky, Robert Bowles, John B. |
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| id | DE-604.BV039747223 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:10:18Z |
| institution | BVB |
| isbn | 9780898713923 0898713927 |
| language | English |
| lccn | 81085699 |
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| publishDate | 1982 |
| publishDateSearch | 1982 |
| publishDateSort | 1982 |
| publisher | Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) |
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| series | SIAM studies in applied mathematics |
| series2 | SIAM studies in applied mathematics |
| spelling | Vichnevetsky, Robert (DE-588)133301583 aut Fourier analysis of numerical approximations of hyperbolic equations Robert Vichnevetsky and John B. Bowles ; with a foreword by Garrett Birkhoff Philadelphia, Pa. Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) 1982 1 Online-Ressource (xii, 135 Seiten) txt rdacontent c rdamedia cr rdacarrier SIAM studies in applied mathematics 5 Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader Includes bibliographical references (s. 131-135) and index Introduction -- Fourier analysis of the accuracy of semi-discretizations -- Higher order semi-discretizations -- Full discretizations - Damping; Diffusion and filtering -- Group velocity -- Time-Fourier transforms -- Fourier analysis and L2-norm of the global error -- Spectral methods -- Equations in two dimensions: Anisotrophy There has been a growing interest in the use of Fourier analysis to examine questions of accuracy and stability of numerical methods for solving partial differential equations. This kind of analysis can produce particularly attractive and useful results for hyperbolic equations. This book provides useful reference material for those concerned with computational fluid dynamics: for physicists and engineers who work with computers in the analysis of problems in such diverse fields as hydraulics, gas dynamics, plasma physics, numerical weather prediction, and transport processes in engineering, and who need to understand the implications of the approximations they use; and for applied mathematicians concerned with the more theoretical aspects of these computations Differential equations, Hyperbolic / Numerical solutions Approximation theory Fourier analysis Hyperbolische Differentialgleichung (DE-588)4131213-2 gnd rswk-swf Harmonische Analyse (DE-588)4023453-8 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Hyperbolische Differentialgleichung (DE-588)4131213-2 s Numerisches Verfahren (DE-588)4128130-5 s Harmonische Analyse (DE-588)4023453-8 s DE-604 Bowles, John B. (DE-588)1242345825 aut Erscheint auch als Druck-Ausgabe 0-89871-181-9 Erscheint auch als Druckausgabe 0898713927 Erscheint auch als Druckausgabe 9780898713923 SIAM studies in applied mathematics 5 (DE-604)BV047229985 5 https://doi.org/10.1137/1.9781611970876 Verlag Volltext |
| spellingShingle | Vichnevetsky, Robert Bowles, John B. Fourier analysis of numerical approximations of hyperbolic equations SIAM studies in applied mathematics Differential equations, Hyperbolic / Numerical solutions Approximation theory Fourier analysis Hyperbolische Differentialgleichung (DE-588)4131213-2 gnd Harmonische Analyse (DE-588)4023453-8 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| subject_GND | (DE-588)4131213-2 (DE-588)4023453-8 (DE-588)4128130-5 |
| title | Fourier analysis of numerical approximations of hyperbolic equations |
| title_auth | Fourier analysis of numerical approximations of hyperbolic equations |
| title_exact_search | Fourier analysis of numerical approximations of hyperbolic equations |
| title_full | Fourier analysis of numerical approximations of hyperbolic equations Robert Vichnevetsky and John B. Bowles ; with a foreword by Garrett Birkhoff |
| title_fullStr | Fourier analysis of numerical approximations of hyperbolic equations Robert Vichnevetsky and John B. Bowles ; with a foreword by Garrett Birkhoff |
| title_full_unstemmed | Fourier analysis of numerical approximations of hyperbolic equations Robert Vichnevetsky and John B. Bowles ; with a foreword by Garrett Birkhoff |
| title_short | Fourier analysis of numerical approximations of hyperbolic equations |
| title_sort | fourier analysis of numerical approximations of hyperbolic equations |
| topic | Differential equations, Hyperbolic / Numerical solutions Approximation theory Fourier analysis Hyperbolische Differentialgleichung (DE-588)4131213-2 gnd Harmonische Analyse (DE-588)4023453-8 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| topic_facet | Differential equations, Hyperbolic / Numerical solutions Approximation theory Fourier analysis Hyperbolische Differentialgleichung Harmonische Analyse Numerisches Verfahren |
| url | https://doi.org/10.1137/1.9781611970876 |
| volume_link | (DE-604)BV047229985 |
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