Several correction fractions show how the same sampled rule approaches, lands on, or crosses the target.
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.