Recent content by MJD3366

] This isn't right, I made some errors again. It really should be: \displaystyle \frac{\partial^2}{\partial x\partial y} = \sin mh_{\theta}\cos mh_{\theta} \frac{\partial^2}{\partial h_r^2} - \frac{\sin mh_\theta\cos mh_\theta}{h_r} \frac{\partial}{\partial h_r} - \frac{\sin^2mh_{\theta}...

Wow, how embarrassing... I made a huge mistake regarding the operator \frac{\partial^2}{\partial x\partial y}. In my haste I assumed you could just multiply the operators \frac{\partial}{\partial x} and \frac{\partial}{\partial y}, but this obviously is not true. It's correct expression is...

Is there nobody who can help me out with this? Maybe the problem statement is not clear enough? (although this is exactly how it is stated in the original text).

Homework Statement This shouldn't be so hard to do I guess, but I just cannot figure it out. The problem statement: Prove that the special form of the discrete Laplacian operator in radial coordinates acting on a grid function u_{l,m} at the central grid point l=0, m=0, given by...