  In this short note, we discuss the basic approach to computational modeling
of dynamical systems. If a dynamical system contains multiple time scales,
ranging from very fast to slow, computational solution of the dynamical system
can be very costly. By resolving the fast time scales in a short time
simulation, a model for the effect of the small time scale variation on large
time scales can be determined, making solution possible on a long time
interval. This process of computational modeling can be completely automated.
Two examples are presented, including a simple model problem oscillating at a
time scale of 1e-9 computed over the time interval [0,100], and a lattice
consisting of large and small point masses.
