An Introduction to the Numerical Analysis of Spectral Methods

Mercier, Bertrand

ISBN 10: 3662137577 / ISBN 13: 9783662137574

Published by Springer 2014-08, 2014

About this Item

Seller Inventory # 6666-IUK-9783662137574

Bibliographic Details

• Title: An Introduction to the Numerical Analysis of Spectral Methods
• Publisher: Springer 2014-08
• Publication Date: 2014
• Language: English
• ISBN 10: 3662137577
• ISBN 13: 9783662137574
• Binding: PF
• Condition: New

About this title

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.