An Introduction to the Numerical Analysis of Spectral Methods

von Bertrand Mercier

154 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Physics
• Themen: Mathematik und Naturwissenschaften Physik Mathematische / Computergestützte / Theoretische Physik
• ISBN: 9783662137574
• Sprache: Englisch
• Erscheinungsdatum: 23.08.2014
• Größe: 24.4 x 17 cm
• Verlag: Springer Berlin