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Author:   Claudio Canuto ,  M. Yousuff Hussaini ,  Alfio Quarteroni ,  Thomas A. Zang
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of hardcover 1st ed. 2006
Dimensions:   Width: 15.50cm , Height: 3.00cm , Length: 23.50cm
Weight:   0.898kg
ISBN:  

9783642068003

ISBN 10:   3642068006
Pages:   581
Publication Date:   19 October 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Polynomial Approximation.- Basic Approaches to Constructing Spectral Methods.- Algebraic Systems and Solution Techniques.- Polynomial Approximation Theory.- Theory of Stability and Convergence.- Analysis of Model Boundary-Value Problems.- Erratum.

Reviews

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)

Aus den Rezensionen: ! Schon 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 ausfuhrliche Diskussion spektraler Methoden fur zahlreiche Modellprobleme ! Insgesamt ist es ! sichtlich eine lohnenswerte Quelle fur alle, die spektrale Methoden lieben. Und man kann gespannt sein, wie im Band 2 komplexere Gebiete und Probleme der Stromungsmechanik behandelt werden. (H.-G. Roos, in: ZAMM - Zeitschrift fur Angewandte Mathematik und Mechanik, 2007, Vol. 87, Issue 1, S. 69)

Author Information

"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""."

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