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-              v15
+              v16
+= Diffusion Solvers in AstroBEAR =
+Astrobear supports both implicit and explicit thermal diffusion that is both isotropic and anistropic.  We first derive the equations for the implicit-anisotropic case, and then discuss simplifications that arise for isotropic and explicit versions.
 == Basic Equations ==
 The anisotropic conduction equation looks like
 …
 $\partial_t T = \displaystyle \sum_{\parallel, \perp} A \partial_i  B_{ij} \partial_j T^{\lambda+1}$
 where the $\parallel$ or $\perp$ subscript on $A$, $B_{ij}$, and $lambda$ is implied.
+where the $\parallel$ or $\perp$ subscript on $A$, $B_{ij}$, and $\lambda$ is implied.
 $A_\parallel = \frac{\kappa_\parallel}{\rho c_v  \left ( \lambda_\parallel + 1\right ) }$ and $A_\perp = \frac{\kappa_\perp}{\rho c_v  \left (\lambda_\perp + 1 \right )}$