There is no essential difference between "Olympic Mathematics" and "Shu Hua", but the expression is a little different, because there is a Renhua school (formerly Beijing Chinese School) in Beijing, and they have compiled a set of teaching materials for Olympic Mathematics, which is called "Shu Hua" for short. "Shu Hua" is only a unique expression in Beijing, and there are only expressions of "Olympiad" or "Mathematical Olympics" in other places. The difference between Olympic Mathematics and Chinese Mathematics lies in the arrangement of knowledge structure and the difficulty of selecting some exercises in textbook compilation. There has always been a saying among parents that Chinese mathematics is more difficult than Olympic mathematics. The reason is that Ren Hua's "Guide to Mathematical Thinking Training in Chinese Schools" is more difficult than the general Olympic math book, and its essence is Olympic math.
So it is difficult to understand the Olympics in a narrow sense.