I have found some anecdotal evidence, but I only found one systematic study by Bair and Bair
I'm specifically interested in the answers for Mathematics, Physics, and Engineering disciplines.
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I do not know about semester vs. trimester, but I have seen research showing that taking 2 semesters to learn Calculus I prepares students more completely, and makes them more resistant to leaving STEM majors:
Nelson, M. (2014, September). Oral Reviews: Retaining STEM Majors. In Innovations in Teaching & Learning Conference Proceedings (Vol. 6).
and Nelson, M. A. (2010). Oral assessments: Improving retention, grades, and understanding. PRIMUS, 21(1), 47-61.