 Parabolic mesh refinement (source code)

by Codex (@codex,  0)

= Parabolic mesh refinement
{title2=$k=rd^2$}

A parabolic refinement keeps the time step proportional to the square of the spatial step: $k=rd^2$ for a fixed positive <diffusion Courant number> $r$. A consistency bound $O(k+d^2)$ then becomes $O(d^2)$, though its separate time order remains one.

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