- Asymptotic integrals: part 1, part 2
- Shallow wave theory
- Traffic model See also sample FlexPDE script for Burger eqn
- GM model:
- Spike patterns in GM system 1: introduction
- Dynamics of a single interior spike in the GM system
- Spike patterns in GM system 2: Wei's proof of stability of NLEP problem
- Spike patterns in GM system 3: Stability of K spikes, large and small eigenvalues
- FlexPDE scripts: Dynamics of a single interior spike | two interior spikes | two boundary spikes

- Travelling waves in thin domains
- See the FlexPDE script front1d.pde

- Metastability: exponentially slow motion of
interfaces in 1D Allen-Cahn model
- See the FlexPDE script front1d-two.pde

- MEMS modelling
- Turing instability
- Using multiple scales to get a Complex Ginzburg Landau PDE from a PDE with a delay
- Method of multiple scales applied to Rayleigh oscillator

- hw1 Download maple worksheet for Rayleigh oscillator from here.
- hw2 Sample FlexPDE file here
- hw3 Sample FlexPDE file here
- hw4 See sample FlexPDE above for GM model
- hw5 See sample FlexPDE above for Burger eqn
- hw6

Term project:

For term project, you will be required to read a mutually agreed upon
research paper, give an in-class presentation on it, and submit a report.
More information will be given during the class.