Is there anything I can spray on small scrub brush sapplings over this Winter to kill them off by Spring?

I've cleared a good portion of my backyard that was previously all scrub brush; vines, prickers, small tree shrubs, etc. Really dense small growth stuff. Now, I have small bundles of sappling stumps everywhere from where I pruned them to the ground. Previous experience tells me they are just going to grow back if I don't completely eradicate them. There are far too many to dig out by hand. Any suggestions?