Title: Challenges in understanding the formation of planetary systems Abstract: Although over 300 planets are now cataloged around other stars, a complete model for planet formation is currently lacking. A number of characteristics of exoplanets - including orbital ellipticities, and orbital periods - indicate that strong dynamical (gravitational) interaction may have taken place amongst objects in a majority of known systems. I will outline a computational approach to investigating this possibility that involves the high precision simulation of hundreds to thousands of planetary systems over tens of millions of years in order to derive statistical expectations that can be tested against observation. Challenges include the need to sample the distribution "tails" of the planetary population - in particular the planets on very large orbits that are just beginning to be successfully imaged.