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An Introduction to the Numerical Analysis of Spectral Methods

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An Introduction to the Numerical Analysis of Spectral Methods 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.

About This Edition

ISBN: 9783662137574
Publication date:
Author: Bertrand Mercier
Publisher: Springer an imprint of Springer Berlin Heidelberg
Format: Paperback
Pagination: 154 pages
Series: Lecture Notes in Physics
Genres: Mathematical physics
Numerical analysis
Classical mechanics
Maths for engineers