There are quite a few editions of The Bob Pease Show, on Texas Instruments' YouTube channel, where he outlines why he was not a fan of Spice simulations, and a common refrain is "it tells lies!". The analog and digital worlds don't really mesh too well, and modelling the non-linearities of analog systems on a digital computer is where things fall down.
'm just starting to learn about analog computing, but it seems that trying to model a digital system with one would be equally hard. They had hybrid systems with digital sections on a mainly analog machine, and strangely, as Moore's law looks to be about to hit the molecular limit for transistor sizes, they are already looking at analog again. I didn't get it until recently, but that is apparently just what a quantum computer is, or an optical / photonic computer: analog!
have a look at this page for a demonstration of how cool it can be:
http://www.glensstuff.com/P.s.: Alan, if you catch this, could I put in a request for a video? I'd love you to do a segment on the Chua Diode, a non-linear resistor that can be modelled with op amps, and the chaotic oscillator circuit that uses it. The double scroll attractor looks amazing fed to the X and Y inputs of a 'scope and I know that my tentative grasp of what is going on with it would become much firmer once you've explained it to me. It's the Gerry off YT, btw. I'm a big fan of your channel
