An Introduction to the Numerical Analysis of Spectral Methods (Lecture Notes in Physics)
Publisher: Springer
Published: Jun 05, 1989
Number of pages: 154
ISBN-13: 9783540511069
Description: 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.