You are required to provide the source of any quoted material in your question. This is from a Baidu article and it seems to be a simple mistake.
Speed up should not be used like this. It is most likely intended to be a "speeded up developing process" or a "sped up developing process" or something similar.
The Contribution that the UK Brings to the World
Britain plays an important role in technology, science, literature and so on. Due to the industrial revolution taking place in Britain, the whole world stepped into a speed up developing process. Many famous scientists from Britain also change the world in many fields, including math, biology and physics. What’s more, many writers contribute to the literature development of Britain, which also affects the rest of the world.