**The pdf document of the lecture**- Some movies, illustrating the schemes studied in the lecture:
- Explosion of the centered scheme for the linear transport equation
- Upwind scheme for the linear transport equation with a Riemann initial condition
- Upwind scheme for the linear transport equation with a sinus initial condition
- Monotone schemes for a rarefaction wave in the Burgers equation
- Monotone schemes for a shock wave in the Burgers equation
- Explosion of the MUSCL method when no slope limiters are use
- MUSCL method for a rarefaction wave
- MUSCL method for a shock wave
- MUSCL method for the linear transport equation
- Various examples for the simple road traffic equation: cars1 cars2 cars3 cars4