I don't know if you have an ATI or a Geforce video card, but this article from GeForce explains VSync pretty well.
http://www.geforce.com/hardware/technology/adaptive-vsync/technologySo turning off VSync can eliminate (or help reduce) stuttering when your frame rates are low. You may get screen tearing by turning it off, but that's not as bad as a stuttering jerky picture.
Please let us know if turning off VSync improves the stuttering for you. If not, the game may need another patch.
Can someone tell me the best settings to help make the game run smoother and anything else I might be able to do to help the matter?
In general, just turn all the graphics extras off or down.