The Fermi-Pasta-Ulam "numerical experiment": history and pedagogical   perspectives
  The Fermi-Pasta-Ulam (FPU) pioneering numerical experiment played a major role in the history of computer simulation because it introduced this concept for the first time. Moreover, it raised a puzzling question which was answered more than 10 years later. After an introduction to this problem, we briefly review its history and then suggest some simple numerical experiments, with a provided Matlab code, to study various aspects of the ``FPU'' problem. 
Thierry Dauxois, Michel Peyrard and Stefano Ruffo