https://en.wikipedia.org/wiki/Asteroid_impact_avoidance#Hist... - Project Icarus is almost 50 years old. There was a paper about laser ablation 2 years ago. Lot of literature on many different collision avoidance strategies.

There was a talk this year at LLNL showcasing a few methods, each with high resolution mesh-based simulations. Hopefully that's enough information so you can find the slides online.