Kill a Vampire with Fire

At first, fire seems like an easy fix to your vampire problems, but there is a problem. Yes, it will burn vampires, just like it burns humans, but unlike sunlight and silver, it's only through natural means that a vampire will burn by fire. What I mean is, the reason sunlight and silver burn a vampire and cause its healing process to slow dramatically is because vampires are inherently cursed by these two elements. While fire can burn just as well as sunlight or silver, it does nothing to slow the healing process of the vampire, because vampires are not cursed with a weakness to fire.
If you're going to use fire to kill a vampire, you're going to need to have a big fire and have the vampire stuck in it for a long time. Probably, say, an hour to be safe, though about a half hour will usually do the trick. This is because the vampire heals as it burns. The hotter the fire, the faster it burns, but you're still basically trying to beat the speed of the vampire's healing process. Should the vampire be mostly burnt but then escape the fire, it can still survive.
This is another situation where tying a vampire down with silver to immobilize it would be very handy, if you could manage it.