DNA sequencing, and everything we do with it, would be pretty painful without the computing power we have.
We've also gotten the ability to do much better fluid dynamics modeling, astrophysics simulations (whether you believe them or not), climate models (likewise). I've made use of the processing power we have now to do a bunch of "experimentation" in representation theory, though that's not obvious from the resulting writeup, which is more or less algebraic proof.
In general, for a lot of research areas where we think we have a decent model of some of the things that are going on more computing power means more ability to use a computer to look for things to actually try in the lab (and thus refine the model) as well as more ability to collect and handle data.
And then there's the mundane bits, like being able to find existing work more easily, being able to typeset and disseminate your papers more easily and so forth.
We've also gotten the ability to do much better fluid dynamics modeling, astrophysics simulations (whether you believe them or not), climate models (likewise). I've made use of the processing power we have now to do a bunch of "experimentation" in representation theory, though that's not obvious from the resulting writeup, which is more or less algebraic proof.
In general, for a lot of research areas where we think we have a decent model of some of the things that are going on more computing power means more ability to use a computer to look for things to actually try in the lab (and thus refine the model) as well as more ability to collect and handle data.
And then there's the mundane bits, like being able to find existing work more easily, being able to typeset and disseminate your papers more easily and so forth.