An Introduction to the Numerical Analysis of Spectral Methods
Bertrand Mercier - An Introduction to the Numerical Analysis of Spectral Methods
Published: 1989-06-05 | ISBN: 3540511067, 3662137577, 0387137577 | PDF | 154 pages | 2.6 MB
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.