This book explains how, when and why the pseudospectral approach works.
Inhaltsverzeichnis
1. Introduction; 2. Introduction to spectral methods via orthogonal functions; 3. Introduction to PS methods via finite differences; 4. Key properties of PS approximations; 5. PS variations/enhancements; 6. PS methods in polar and spherical geometries; 7. Comparisons of computational cost - FD vs. PS methods; 8. Some application areas for spectral methods; Appendices.