Dr. Patrick Cohn has these insights on how to putt the fast greens at Augusta. Easy to translate his thoughts to your game when you play on a course and greens which is tougher than you're used to playing.

"Mental Keys to Conquering the greens at Augusta:

This is no time to overhaul the stroke. If a player has stroke problem and is focused more on stroke than on line and speed, he is domed from the first putt of the tournament.

Players must tune up their touch on the greens by hitting a ton of longer putts. Touch develops by hitting every possible putt the golfer may face in the tournament. He must practice putts left to right, right to left, uphill, downhill, sidehill, you name it. Specific drills for developing touch are paramount.
The player must love to use the putter on every hole and relish the challenge of the greens. A fearless attitude is critical to putting free. If a player worries about three-putting, he'll probably four-putt!
Finally, every one has to have a short memory for lip outs and missed birdie opportunities on the greens. A player must convince himself that par is a good score. Even a great putter on top of his game must accept par, interpret lip outs as a sign of good putting to come, and react to a three-putt with the composure of someone with amnesia. Attitude and patience will go a long way towards the goal of conquering the greens at Augusta."

Patrick Cohn's website is http://www.peaksports.com