1. Better known as the "Alcubierre Drive", Compress space infront of you and expand the space behind. Essentially inching forward like the inch worm. (If we presume that visually, the inch worm stays in the hunched position and slides forward because our eyes cannot see it's movement) Doing this smoothly in theory lets you accelerate and decelerate infinitely.
https://en.m.wikipedia.org/wiki/Alcubierre_drive
2. Warp space infront of you to create gravity, and pull you forward. Essentially, you make a pot hole in space time, and "fall" into it. This is basically the same Alcubierre Drive, but without the expansion at the rear.
2.1: One version holds that pothole at a specified distance infront of the ship.
2.2: The other version creates the pothole, then removes it before you reach it.