Are "in accordance with" and "according to" interchangeable?

I always use the two expressions interchangeably; well indeed I'm mostly prone to use "in accordance with" in an academic context instead of "according to."

Is that correct? What would you recommend me to use instead?

Additional context (sorry for ignoring this part):

The modern sensibilities about museums have altered remarkably in accordance with/according to the growing interest in the post-post-structural scholarly trends.

Solution 1:

According (to) and Accordance (with) are two different words/phrases. They clearly have the same root (Accord, meaning agreement) but they cannot be used interchangeably.

According to means "as stated by".

Accordance with means "in compliance" or "in agreement"