Thats not how that works. From PHB pg. 197.
Damage at O Hit Points.
lf you take any damage while you have O hit points, you suffer a death saving throw failure. If the damage is from a critical hit, you suffer two failures instead. lf the damage equals or exceeds your hit point maximum, you suffer instant death.
You take the failed death save(s) and if the damage is enough to send you to negative total HP you still die instantly.
Yes, I missed that.
Still, any damage under your HP maximum does not matter to you when you are at 0HP. so you could each turn take damage equal to your maximum -1 and survive. A titan using a gigantic 2 handed hammer won't kill you any faster than a biting rat. And to make sure that you are dead said titan has to smash your unmoving body multiple times.