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 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.
1012150572
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 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.
54.99 In Stock
An Introduction to the Numerical Analysis of Spectral Methods

An Introduction to the Numerical Analysis of Spectral Methods

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

An Introduction to the Numerical Analysis of Spectral Methods

by Bertrand Mercier

Paperback(Softcover reprint of the original 1st ed. 1989)

$54.99 
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Overview

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.

Product Details

ISBN-13: 9783662137574
Publisher: Springer Berlin Heidelberg
Publication date: 08/23/2014
Series: Lecture Notes in Physics , #318
Edition description: Softcover reprint of the original 1st ed. 1989
Pages: 154
Product dimensions: 6.69(w) x 9.61(h) x 0.01(d)

Table of Contents

Fourier spectral method.- Polynomial spectral methods.
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