Hello,
I found your project very interesting, and I think I could be the person you are looking for.
I read the fourth problem and I found it is related to electromagnetism, as a physicist I know some theory that could be useful for reducing the order of the algorithm for computing forces. I would have to evaluate some approaches, especially some recursive algorithms.
I am new at freelancer.com and I would really appreciate If you choose me. I am available full time if you would like to discuss the problem.
Thank you for considering me,
Eliana