Greetings, First, I have not yet used Mathematica, but I will be soon. I would like to know the complexity involved with using Mathematica to generate source code, and if anyone has generated such code for computing derivatives of spherical harmonics.
I am working on a classical mathematical application involving partial differential equations and the approximation of its solution. We started with Laplace's equation and used an approximation based on a variation of spherical harmonics which met our computational needs ( we have mangled the coefficients for computational reasons.) Now we are planning on extending our work to other PDE's by taking derivatives where appropriate.