MTH472/572: Numerical Methods for PDEs

Spectral and Pseudospectral Methods

Fall 2013, Larts Room 209 Group I, 12:30 - 1:45 PM

Department of Mathematics, UMass Dartmouth

14 Week Tentative Schedule


MTH472/572 Syllabus


The tentative schedule of this course is following the table of contents of the textbook: Spectral Methods in MATLAB by Nick Trefethen. If time permits ( a bit too ambitious maybe), I will also insert additional materials such as Barycentric Lagrange Interpolation, Mapped Chebyshev Grid + Rational Interpolant, and techniques in implementing boundary conditions such as Fictitious Point Method (Fornberg), Resampling Method (Hale & Driscoll), and Spectral Penalty Method (Hesthaven's paper).

Approximation and Derivatives

Time Independent and Depedent PDE Problems