If I have to document a simulation or the results of running julia and the math behind it, I will sometimes use a library I wrote to programmatically create Latex output, including math , figures and tables etc to generate either a slide deck or even a full report.
I can even write the report in Lyx and then simply include the latex output from my simulations.
There are similar capabilities for matlab and python, e.g.
pyt2tex, etc.
pytexit — pytexit 0.4.0 documentation .
It’s not too hard to do it on your own. I’d release it but unfortunately I don’t control it’s license.