An Introduction to the Numerical Analysis of Spectral Methods

Softcover Nachdruck of the original 1. Auflage 1989
ISBN: 978-3-662-13757-4
Verlag: Springer

Buch, Englisch, 154 Seiten, Format (B × H): 170 mm x 244 mm, Gewicht: 296 g

Reihe: Lecture Notes in Physics

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.

Zielgruppe

Research

Autoren/Hrsg.

Mercier, Bertrand

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik

Inhaltsverzeichnis

Fourier spectral method.- Polynomial spectral methods.