Clarify Comparison Against Modelica section of the documentation with regard to nonlinear systems

[gwr69]

In the section Comparison of ModelingToolkit vs Equation-Based and Block Modeling Languages the subsection Comparison Against Modelica has a final bullet point that reads:

Modelica can be used to simulate ODE and DAE systems. ModelingToolkit.jl has a much more expansive set of system types, including nonlinear systems, SDEs, PDEs, and more.

I believe this should be adapted to read:

Modelica is designed for simulating ODE and DAE systems (which can include nonlinear dynamics). In contrast, ModelingToolkit.jl supports a much broader range of system types, including SDEs, PDEs, and more.

The current text misleadingly suggests Modelica might not be able to handle nonlinear systems. I find the adapted text clearer in this regard.

[ChrisRackauckas]

That description is still missing the whole class of time-independent nonlinear systems, like mixed integer nonlinear programming problems. Probably a better description is:

Modelica is designed for simulating ODE and DAE systems (which can include nonlinear dynamics). In contrast, ModelingToolkit.jl supports a much broader range of system types, including SDEs, PDEs, time-independent nonlinear systems (e.g. various forms of optimization problems) and more.

[gwr69]

The improvement is what counts—you're the mathematician! Thanks. 😊