My thanks to Grose and co-authors for their patience as I have gone through their paper. The generally positive reviews and the authors' responses, together with the way in which we were able to collaboratively test and improve the ease of installation and use of the code base, have convinced me that the paper need not be sent back to review. As a result, I have performed a final review of the article myself.

Just three technical corrections/notes are below.

l 140: I was actually fine with your earlier gradient notation, though there is no problem in being explicit. However, what appears to be a typo in your explict versions of these equations turns them into differential operators multiplied by field $f$ rather than the partial derivitaives themselves. Could you please correct this?

l 384-389. Unlike your referees, I am not familiar enough with this implicit approach to check the ma
th without some significant study. Based on my above comment, could you please just double-check your
results here? Considering that your referees commented on the mathematics, I feel justified in not g
oing so deeply into these equations myself.

l 231: Be sure that you note that this is $\times$ rather than x.