While the most attractive feature of the Monte Carlo method is the ability to directly simulate diverse physical phenomena (chemical phenomena are regarded as ''physics''), it is also a powerful technique for studying differential and integral equations. While considerable activity exists in solving integral equations arising in transport theory, not much recent literature is available on direct applications to solutions of partial differential equations, particularly to systems of nonlinear equations. For a while activity in developing the Monte Carlo method was diminished, but recently there seems to be a revival of stochastic simulation of physical phenomena, particularly in chemistry and material science. 53 refs.