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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…mehr

Produktbeschreibung
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.
  • Produktdetails
  • Scientific Computation
  • Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
  • Softcover reprint of hardcover 1st ed. 2006
  • Seitenzahl: 592
  • Erscheinungstermin: 19. Oktober 2010
  • Englisch
  • Abmessung: 235mm x 155mm x 31mm
  • Gewicht: 916g
  • ISBN-13: 9783642068003
  • ISBN-10: 3642068006
  • Artikelnr.: 32021089
Autorenporträt
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".
Inhaltsangabe
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.

Rezensionen
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
From the reviews:

"The main aim of the book is to discuss the approximations of solutions to ordinary and partial differential equations in single domains by expansions in smooth, global basis functions. ... furnishes a comprehensive discussion of the mathematical theory of spectral methods in single domains ... . All chapters are enhanced with material on Galerkin method ... . The discussion of direct and iterative solution methods is endowed with numerical examples that illustrate the key properties of various spectral approximations and solution algorithms." (Nina Shokina, Zentralblatt MATH, Vol. 1093 (19), 2006)