Black screen is not an indication of a memory issue. If you can play the game normally, but you get a black screen during a specific scene, it's a bug. Don't wait for the developer to fix it, I've had a black screen bug on one scene for the last few updates. If you're not bothered, a new game save could resolve the problem. Otherwise just download someone's full save after you have progressed as far as you can.
If you are getting a black screen when trying to boot the game, this is more likely a software dependency problem.
Update your graphics driver, Direct-X packages, and Microsoft Visual C++ (vcredist) for starts.