- #1

nassboy

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Later Feynman states that, "For any other shape, you can guess an approximate field with some unknown parameters like alpha and adjust them to get a minimum. You will get excellent numerical results for otherwise intractable problems."

I can't seem to apply his method to anything but the simplest of cases. For example, coming up with an approximate field that meets complicated boundary conditions in 2D seems impossible...leaving conformal mapping as the only usable method of solving such problems. I also tried solving another problem that Feynman solves in a more traditional manner, "Colloidal particles in an electrolyte." using the least action principle...but what approximate field should I choose besides a polynomial?