These proceedings contain the invited papers delivered at the 2nd IMACS International Conference on Computational Physics, held in St Louis, USA, on October 6 - 9, 1993. The meetings was aimed at bringing together computational scientists and engineers of different disciplines for a fruitful exchange of information on methods, software and hardware. The topics covered include fluid mechanics, aerodynamics, material physics, condensed matter physics, neural networks, nonlinear dynamics, particle physics and others.