Mini-Course: Introduction to Spectral Methods
Speaker: Professor Wang Li-Lian (Nanyang Technological University, Singapore)
Time: 14:30-16:30, July 27th, Monday
08:30-10:30, July 28th, Tuesday
14:30-16:30, July 28th, Tuesday
Venue: 5107, the 5th Teaching Building
Contents:
1. Spectral bases from eigenvalue problems
Fourier and generalised Fourier bases from Laplace eigenvalue problems
Singular Sturm-Liouville problems and orthogonal systems
Fundamental approximation theory
2. Fourisation and polynomial-based spectral methods
The notion of “Fourisation” in spectral methods
Some algorithms and analysis of Legendre and Chebyshev spectral methods
Legendre spectral collocation method and its preconditioning