Implementing spectral methods for partial differential equations: algorithms for scientists and engineers

✍ Scribed by Kopriva, David A

• Publisher: Springer
• Year: 2009
• Tongue: English
• Leaves: 401
• Series: Scientific computation
• Category: Library

✦ Synopsis

This book explains how to solve partial differential equations numerically using single and multidomain spectral methods. It shows how only a few fundamental algorithms form the building blocks of any spectral code, even for problems with complex geometries.

✦ Table of Contents

Front Matter....Pages i-xviii
Front Matter....Pages 1-1
Spectral Approximation....Pages 3-38
Algorithms for Periodic Functions....Pages 39-57
Algorithms for Non-Periodic Functions....Pages 59-87
Front Matter....Pages 89-89
Survey of Spectral Approximations....Pages 91-147
Spectral Approximation on the Square....Pages 149-221
Transformation Methods from Square to Non-Square Geometries....Pages 223-246
Spectral Methods in Non-Square Geometries....Pages 247-292
Spectral Element Methods....Pages 293-354
Erratum....Pages 395-396
Back Matter....Pages 355-394

✦ Subjects

Partial Differential Equations;Numerical and Computational Physics;Numeric Computing;Theoretical, Mathematical and Computational Physics;Computational Mathematics and Numerical Analysis