Changing only the correction fraction shows the sampled recurrence before the stability label. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.
highlighted = computed this step
Half correction approaches without crossing
Correction 1/2 moves states 0, 4, 6, 7 volts. The remaining error is 1 volt.
0,4,6,7e3=1
Full correction reaches the target and stays
Correction 1 gives states 0, 8, 8, 8 volts, so later errors are zero.
0,8,8,8e3=0
Three halves crosses the target but still damps
Correction 3/2 gives states 0, 12, 6, 9 volts. The final signed error is negative 1 volt.