email to myself

I'm feeling ill today. This is frustrating because I am thinking up ideas to solve some problems. I've been sending emails to myself so far. Here is a good example:

Notes for coding:

If I map 1/r, I need to have a 1/r falloff in my solution. This means I need spherical symmetry rather than a 1-D wave equation.

With a shrinking outer boundary, I need to store more data on the radial values.

With spherical symmetry, I can likely use a simple \partial_r\Phi = 0 as a regularity boundary condition at r=0.