For the order of RK, is the assumption that only second and fourth order methods will be used? Stating that "the user will specify..." sounds more like an input requirement and belongs elsewhere (e.g. an input specification or a user responsibility).
Stating that your ODEs must be stiff and continuous belongs here rather than stating it in your Goals section (i.e. remove it from your goal section so that it has a broader starting scope and narrow it with your assumptions)
Isn't stating that the output of the vector of an ODE must match the size of the input vector part of the correct solution specification (Output subsection)?
I've updated the first assumption to reflect the change you suggested.
I added a reference to this assumption in the goals section, rather than removing it entirely.
It's referencing the output of the ODE, which is an input; I'm just making explicit that the ODE doesn't output vectors with more elements than the number of elements in the input.
I have a few questions here: