32GB Ram altogether (16GB kits X 2). I want to know if my computer performance will be stable with this amount of Ram installed on a Gigabyte GA-X79-UP4 with an Intel Core i7 3970X processor.
yes it will work but I advise not. as far as I know there is no 16gb single stick over 1333MHz frequency.
if you want better memories you can always go for 4x8GB with 2133MHZ-CL10 stuff. your motherboard sports 8 channels. and 8x8 is its limit anyways...