Spectral Methods
Fundamentals in Simple Domains
(Sprache: Englisch)
This book provides the most comprehensive, up-to-date theory and state-of-the-art algorithms of spectral methods. It is written by the authors who pioneered the subject and who introduced spectral methods as a mainstream tool for scientific and engineering computation.
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Produktinformationen zu „Spectral Methods “
This book provides the most comprehensive, up-to-date theory and state-of-the-art algorithms of spectral methods. It is written by the authors who pioneered the subject and who introduced spectral methods as a mainstream tool for scientific and engineering computation.
Klappentext zu „Spectral Methods “
Since the publication of "Spectral Methods in Fluid Dynamics" 1988, spectral methods have become firmly established as a mainstream tool for scientific and engineering computation. The authors of that book have incorporated into this new edition the many improvements in the algorithms and the theory of spectral methods that have been made since then. This latest book retains the tight integration between the theoretical and practical aspects of spectral methods, and the chapters are enhanced with material on the Galerkin with numerical integration version of spectral methods. The discussion of direct and iterative solution methods is also greatly expanded.
Inhaltsverzeichnis zu „Spectral Methods “
- Introduction- Polynomial Approximation
- Basic Approaches to Constructing Spectral Methods
- Algebraic Systems and Solution Techniques
- Basic Approaches to Constructing Spectral Methods
- Algebraic Systems and Solution Techniques
- Global Approximation Results
- Theory of Stability and Convergence for Spectral Methods
- Analysis of Model Boundary-Value Problems
- Appendices A-E
Autoren-Porträt von Claudio Canuto, M. Yousuff Hussaini, Alfio Quarteroni, Thomas A. Zang
The authors are among the leading researchers in the field of computational fluid dynamics and have pioneered and promoted the "Spectral Methods in Fluid Dynamics".
Bibliographische Angaben
- Autoren: Claudio Canuto , M. Yousuff Hussaini , Alfio Quarteroni , Thomas A. Zang
- 2011, 581 Seiten, 10 farbige Abbildungen, 96 Schwarz-Weiß-Abbildungen, Maße: 16,5 x 24,5 cm, Gebunden, Englisch
- By Claudio Canuto, Alfio Quarteroni, M. Y. Hussaini et al.
- Verlag: Springer
- ISBN-10: 3540307257
- ISBN-13: 9783540307259
Sprache:
Englisch
Rezension zu „Spectral Methods “
Aus den Rezensionen:"... Schön ist ... dass die Autoren klar Tendenzen der spektralen Methoden der letzten 20 Jahre aufzeigen ... Im Einzelnen findet der interessierte Leser ... viele interessante Details zu Fragen der polynomialen Approximation und ... eine ausführliche Diskussion spektraler Methoden für zahlreiche Modellprobleme ... Insgesamt ist es ... sichtlich eine lohnenswerte Quelle für alle, die spektrale Methoden lieben. Und man kann gespannt sein, wie im Band 2 komplexere Gebiete und Probleme der Strömungsmechanik behandelt werden." -- H.-G. Roos, in: ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik, 2007, Vol. 87, Issue 1, S. 69
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