Hey everyone,
I'm trying to reconstruct coordinate mapping as described here starting at page 2: http://www3.nd.edu/~gtryggva/CFD-Course/2011-Lecture-24.pdf
I started with the 1D example, what I did is:
1: depends(f, x);
2: depends(x, a);
3: diff(f, x);
4: diff(f, a);
5: diff(f, x, 2);
6: diff(f, a, 2);
4 and 6 get me the results from the pdf which is great. However 3 and 5 do the obvious and return me df/dx or d^2f/dx^2 which is right but not what I want. Is there a way to tell Maxima that it shouldn't include df/dx in the results?
After that I'll also need the reverse mapping from (xi, eta) to (x, y). I tried to depend xi and eta on x and y but that got me into an infinite loop. is there an easy way to declare these reverse dependencies without dining the whole calculation from scratch?
Finally: I'm needing this stuff for my bachelors thesis, so latex code for the results would be great. I noticed that the tex function returns plain tex with some stuff that shouldn't be used today (\over instead of \frac,?). Is there a way to get better tex code?
Thanks a lot in advance!
regards,
Paul