The Semi-Discreted Approach to Time-Stapping

So instead of ODE, it's O delta E, like capital delta for difference. We are literally taking the difference operator. So now it's a vector equation? Well, it's always a vector equation. But now the idea is you only have a step in time, which is Dx, and DfDt or whatever. Oh, so you just replace your derivative operator with that matrix? Your position, derivative operator. Exactly. The corners are literally minus 2, minus 2 instead of 1,. then multiply the half.