Lecture Notes in Physics

Mercier, Bertrand

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.

Details

Published by: Springer

Publication Date: 2014-08-23

Format: Paperback

ISBN-13: 9783662137574

DOI: 10.1007/BFb0020591

Dimensions: 244cm x170cm

Pages: 154