A beginner's course in finite volume approximation of scalar conservation laws

Jérôme Droniou

Pamplona - Pau - Toulouse - Zaragoza summer school on nonlinear conservation laws, Jaca 11-13/09/2008

• 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