It was more Europeans rediscovering lost European and West-Asian ideas, anyway. People love to cite the arabs and turks as the source for all this learning, but it was almost entirely leftover Greek and Roman shit they happened to pick up and translate during their conquests. Europeans just got around to translating it later.
The christian Byzantines were the ones who gave Roman texts (written in ancient Greek, as that was the scholarly language of the Roman elite) to the European powers around the 12th and 13th century translated into more appropriate languages.
Mainland Europe also didn't just stop all scientific advancement from the migration era to the start of the renascence like some people think as well. There was a significant slowing, as many things had to be relearned or re-designed as nobody could read the source material anymore (the literacy of ancient Greek totally died out around 700ad if I'm not remembering wrong, I think I am, but for some reason 700 really just sticks in my mind) and old knowledge had to be re-published and proven again.
Additionally, the term "Dark Ages" isn't meant to imply an evil or regressive time. It was coined because we lack so much original source material from the time. A lot of what's available to us is actually history book like writings from the late medieval and early renascence period.