I agree with Makach.
Let the guys who are creating the algorithms use the tools that they are most familiar with. Because there are two separate (and equally important) tasks to work on in this project. First, there is the creating of an efficient, elegant and appropriate mathematically sound algorithm, then there is the twistedly difficult task of translating it into CPU-speak. The mathimaticians should focus on their first task, and to make it easier for them, allow them to use the toosl they are comfortable with. In terms of man hours, it is a much more efficient use of their time to write MATLAB code, than it would be to have them learn a new programming language.
Your task is to unearth the (presumably) brilliant mathematics that are buried within the gibberish code.
That part is just a perspective on the problem at hand. Here's the actual answer.
Communication, mutual respect, and teaching/learning.
Communication & Mutual Respect
You must communicate with them often. Work closely with them and ask them questions whenever you come across something you're not sure of. This is much easier when there is mutual respect, which means that if you spend all your time criticizing their coding abilities, then they will be forced to spend all their time criticizing your math abilities. Instead, try quick learning-sessions. ("Lunch & Learn" is a fairly common tactic)
Teaching/Learning
The first and most important piece of wisdom to impart to them is commenting. Have them comment the crap out of their code. Tell them that the comments are much more important than the code quality, and that as long as their comments are right, they can leave the rest up to you guys. Because they can. They don't need to have their code look beautiful, for be the fastest, they just need it to make sense to you guys.
To continue this mutual learning scenario, if you notice some very simple very common mistakes they are making, (nothing NEARLY as complicated as multithreading) just give them a quick heads up. "That way works (or doesn't) but here's a way to do it that is a little different but it will make your lives much much easier." Encourage them to reciprocate by trying to notice which nuances or parts of their algorithms which you and your team are having difficulty with and teach a little tutorial about it.
Once you guys get the communication flowing, you'll find it easier and easier to shape their coding style to what is best for your team, and they will also find it easier to understand why you don't see it the same way they do.
Also, as mentioned by Kekoav, make sure they provide a few fully loaded test cases.
That means for something like
A -> B -> C -> D -> Solution
They would provide you all the values for A, then what it looks like at B, then what it looks like at C and so on. So that you can be certain that not only is it correct at the end, but it's also correct at every step of the way. Try to have them provide examples that are regular, and also a few of them that are unusual, so that you can be certain your code covers edge cases.