An Introduction to the Numerical Analysis of Spectral Methods (Lecture Notes in Physics (318))

Mercier, Bertrand

ISBN 10: 3662137577 / ISBN 13: 9783662137574

Published by Springer, 2013

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Bibliographic Details

• Title: An Introduction to the Numerical Analysis of Spectral Methods (Lecture Notes in Physics (318))
• Publisher: Springer
• Publication Date: 2013
• Language: English
• ISBN 10: 3662137577
• ISBN 13: 9783662137574
• Binding: Paperback
• Condition: Like New
• Book Type: book

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Synopsis

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.