Description
Introduction to the Numerical Analysis of Spectral Methods, Paperback by Merc.... Introduction to the Numerical Analysis of Spectral Methods, Paperback by Mercier, Bertrand, ISBN 3662137577, ISBN-13 9783662137574, Like New Used, Free shipping in the US 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. Th addresses students as well as practitioners of numerical analysis. Introduction to the Numerical Analysis of Spectral Methods, Paperback by Mercier, Bertrand, ISBN 3662137577, ISBN-13 9783662137574, Like New Used, Free shipping in the US 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. Th addresses students as well as practitioners of numerical analysis.