No, you're making the assertion first, that everyone positively asserts that the universe is continuous, and second that computer scientists see algorithmic systems as being simulations of analytical systems.
The first i am agnostic to (although i do like the feynman quote at the top of http://arxiv.org/pdf/quant-ph/0206089v2 which was linked to above), and the second is most certainly false, as i have indicated above.
The evidence in NKS to support wolfram's assertion that the universe is a simple program is circumstantial at best, and so his windmill tilting quests for the program that is the universe seems quixotic at best, and arrogantly foolhardy at worst.
Analytical modeling, algorithmic modeling, or whatever other model someone wants to use to represent reality are models until you can prove them to actually be fundamentally connected with the manner in which reality functions.