I've got a set of data that's been manipulated solely numerically. But anyway, for a certain part of that data set, I see that it's convergent (image). But I'm sort of at a loss for how depict that convergence with say, a table, because the error oscillates chaotically but is clearly heading to zero.
Comparing the next error to the previous one will at some points show an increase in the error. I was thinking of using an averaging technique (e.g. Simpson's Integration) which allows me to "smooth out" the curve if I do it enough times. I just don't know if that's a valid approach.