Using symbolic mathematics to find equations of motion

Specific Domains Modelling & Simulations
1

I am working with a reduced-order mathematical model for the motion of a offshore platform.
The deduction of equations of motion requires a lot of symbolic computation as differentiation of time-dependent variables and inversion of symbolic matrices. I was using Wolfram Mathematica with this purpouse. What packages can be used for this type of algebraic manipulation in Julia?

2

You might want to check out this workshop which does this in full using the universal differential equation methodology:

DataDrivenDiffEq.jl is the library to look at for doing this:

https://datadriven.sciml.ai/dev/sparse_identification/sindy/

and the example mixes neural networks into the training methodology can be found here:

https://github.com/ChrisRackauckas/universal_differential_equations/blob/master/DelayLotkaVolterra/VolterraExp.jl