Yeah the "programming" part has always thrown me off when I started my first Engineering job one of the guys was always talking about an "LP" model I thought it was some deep piece of black magic until I realized it was essentially brute searching for a solution to a series of simultaneous equations.

I think "Linear Optimization" might be a better term, or maybe "Linear Solving".

Modern Linear Programming solvers are a lot more advanced than 'brute searching'. But otherwise, you are right.

That’s the programming part. As others have shared, the “Dynamic” part was made up by Bellman so it sounded important and politicians wouldn’t try to cut his funding. It’s often applied to dynamical systems, but that’s a coincidence.