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.
ISBN: | 9783662137574 |
Publication date: | 23rd August 2014 |
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 |