An Introduction to the Numerical Analysis of Spectral Methods by Bertrand MercierAn Introduction to the Numerical Analysis of Spectral Methods by Bertrand Mercier

An Introduction to the Numerical Analysis of Spectral Methods

byBertrand Mercier

Paperback | August 23, 2014

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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.
Title:An Introduction to the Numerical Analysis of Spectral MethodsFormat:PaperbackPublished:August 23, 2014Publisher:Springer Berlin HeidelbergLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3662137577

ISBN - 13:9783662137574

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Table of Contents

Fourier spectral method.- Polynomial spectral methods.