The real answer to this problem is to invest more money on research. If there are more people looking at a particular problem, there is less and less chance that a big mistake will be hiding. Many have the wishful thinking that if we were just more careful with procedures or software or technology or something else, then the results would be more robust. Unfortunately this doesn't work when you have fixed resources to perform extremely complex research. The power of science is not on individual results (papers), but on how these results confirm or refute each other over time.