An introduction to the numerical analysis of spectral methods /

This is a very lucid introduction to spectral methods emphasizing the mathematical aspects of the theory rather than the many applications in numerical analysis and the engineering sciences. The first part is a fairly complete introduction to Fourier series while the second emphasizes polynomial exp...

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Bibliographic Details
Main Author: Mercier, Bertrand, 1949-
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin ; New York : Springer-Verlag, [1989]
Series:Lecture notes in physics ; 318.
Subjects:
Online Access:Connect to the full text of this electronic book
Description
Summary:This is a very lucid introduction to spectral methods emphasizing the mathematical aspects of the theory rather than the many applications in numerical analysis and the engineering sciences. The first part is a fairly complete introduction to Fourier series while the second emphasizes polynomial expansion methods like Chebyshev's. The author gives rigorous proofs of fundamental results related to one-dimensional advection and diffusions equations. The book addresses students as well as practitioners of numerical analysis.
Item Description:Translation of: Analyse numérique des méthodes spectrales.
Electronic resource.
Physical Description:1 online resource (v, 154 pages)
Format:Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Bibliography:Includes bibliographical references (pages 153-154).
ISBN:9783540461586 (electronic bk.)
3540461582 (electronic bk.)
9783540511069
3540511067 (Trade Cloth)
ISSN:1616-6361 ;