I'm trying to build a code that evolves a grid of dimension 2gridDim+1 over a time timeDim. I managed to build such a code using Table with only one problem: when the value of timeDim is of thousands, the time it takes to evaluate is absurd. I tried to find an alternative way to write this code, using NestList withouth success. NestList is able to have an interator if I write it like #[]+1, but it doesn't work when I use it as an element of a list.
I let here a toy working example. Any input would be most appreciated.