There are other secondary advantage of simulation too. The big advantage computers have is ... doing lots of computations (who knew?). Once a simulation is invo

There are other secondary advantage of simulation too. The big advantage computers have is ... doing lots of computations (who knew?). Once a simulation is involved, suddenly Monte Carlo methods can be employed to take advantage of that. A bunch of mathematically intractable optimisation problems are, in practice, easily solved by guess-check-refine strategies like evolutionary algorithms. Having been involved in optimisation problems that involved the SIMPLEX algorithm; as a mere mortal I'd much, much rather be debugging simulations than pages of awkward linear equations. In most cases I argue accuracy is worth more than precision. Plus, simulations demo well.