User: knarf Date: 2012/03/13 09:34 AM
Modified: / ET.tex
Log: clarify 1/r^2 falloff
File Changes:
Directory: / ============
File [modified]: ET.tex Delta lines: +3 -1 =================================================================== --- ET.tex 2012-03-13 08:08:34 UTC (rev 301) +++ ET.tex 2012-03-13 14:34:22 UTC (rev 302) @@ -1473,7 +1473,9 @@ The spatial derivatives $\partial_i$ are evaluated by comparing neighboring grid points, corresponding to a second-order stencil evaluated in the middle between the two neighboring grid points. -Second-order decay is assumed, hence $p=2$. +Although strictly speaking different variables or even different +components of tensors can fall off differently, we find that +using $p=2$ works well in practice.
As with the initial conditions above, this boundary condition is evaluated on several layers of grid points, starting from the