This is a reference request, and soft question as companion.
I'm curious to ask, from an informative point of view, what about the more important progress in the goal to discretize hard problems in physics and that were in the literature recently, let's say in this decade (2009-2020), as remarkable advances.
For the following question I was inspired in the problems explained in  (if I understand/interpret well the words of the professor in slides of his section What About Future Laws of Physics?, my understanding is that these discussions are related to hard problems in physics).
Question. I would like to ask as reference request, or soft question, for the more important or relevant recent progress in discretizing hard problems in physics.
I'm asking it as a reference request for the more recent advances, then I'm going to try to search and read those references from the literature. If in your discussion as soft question you want to refer about other past articles feel free to do it.
My knowledges in physics or mathematical physics and discretization methods aren't the best, but I think that this could be an interesting post for your colleagues, and reference for all us. Feel free to add your feedback about the post in comments.
 David Tong, Physics and the Integers, University of Cambridge, Trinity Maths Society (2010).