The title of my M.Sc. Dissertation is:
Spectral Methods on a Massively Parallel Computer.
The purpose was to compute solutions to a number of partial
differential equations.
The PDE's were transformed to ordinary differential equations by use
of Fourier transformations,
the ODE's were then discretized and integrated in time on a massively
parallel computer, a TMC CM-200.
Click in the picture to see an animation of such a solution to the
Hasegawa-Mima equation
Here is the dissertation
(4.43MB gzip'ed PostScript).