Hi,

I am trying to get an understanding how ADE is formed. Looking at the paper on ADE I have a couple of questions:

1. the second derivatives are presented as a linear combination of 4 points, I can't see where the approximation is done, at which point? I was trying to do Taylor around but could not hit the same approximation.

2. the method is called "explicit". What I am confused is looking at the representation there are as many unknown points at n+1 level in time direction as the dimensionality of the equation, so it is not quite explicit, is there a matrix equation to be solved at every level or not?

I'd appreciate any insights. Thanks!