An Introduction to the Numerical Analysis of Spectral Methods

  • Authors
  • Bertrand┬áMercier

Part of the Lecture Notes in Physics book series (LNP, volume 318)

Table of contents

  1. Front Matter
  2. Pages 1-5
  3. Back Matter

About this book


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.


Fourier series calculus diffusion numerical analysis

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag 1989
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-51106-9
  • Online ISBN 978-3-540-46158-6
  • Series Print ISSN 0075-8450
  • Series Online ISSN 1616-6361
  • Buy this book on publisher's site