Landing on an unstable approach or failure to go around when runway is not in sight is a weakness that humans have. Humans deal with tasks sequentially. The failure to switch tasks even though the second task is more important is known as Cognitive Lockup. Read my view on this aspect which is a factor in unstable approach and runway excursions.
The El Al B-789 managed to get airborne safely despite the 40 Tonne error in weight while calculating the takeoff performance.
I have written a paper on how and why humans commit such grave errors and ways and means to prevent them.
Inattentional blindness, Cognitive bias and poor crew training standards lead to the near world worst air disaster.
How could two pilots execute an approach on the taxiway with 4 aircrafts with almost 1000 passengers in it. They missed the collision by 60 feet.