I'm going to implement the following stencil operators:
backward differences with accuracy O(h) and O(h^2)
central differences with accuracy O(h^2) and O(h^4)
forward differences with accuracy O(H) and O(h^2)
for the first through fourth derivatives (altogether, 24 stencil
operators).
Question: naming conventions.
Here are some possibilities, illustrated for the case of
a 2nd-order accurate 4th derivative in the 3rd dimension:
1. central<4,2>::diff(A,3)
2. central<4,2,3>(A) or central<4,2>(A,3) **
3. central4thOrder2(A,3)
4. central42(A,3)
** requires a language feature not widely available yet
Personally I'm leaning towards #4, but I'm open to pursuasion.
Cheers,
Todd
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