--- a/src/SbpOperators/volumeops/derivatives/second_derivative.jl	Mon Mar 14 10:20:39 2022 +0100
+++ b/src/SbpOperators/volumeops/derivatives/second_derivative.jl	Tue Mar 15 21:38:55 2022 +0100
@@ -9,11 +9,23 @@
 
 On a one-dimensional `grid`, `D2` is a `VolumeOperator`. On a multi-dimensional `grid`, `D2` is the outer product of the
 one-dimensional operator with the `IdentityMapping`s in orthogonal coordinate dirrections.
-Also see the documentation of `SbpOperators.volume_operator(...)` for more details.
+
+See also: [`volume_operator`](@ref).
 """
 function second_derivative(grid::EquidistantGrid, inner_stencil, closure_stencils, direction)
     h_inv = inverse_spacing(grid)[direction]
     return SbpOperators.volume_operator(grid, scale(inner_stencil,h_inv^2), scale.(closure_stencils,h_inv^2), even, direction)
 end
-second_derivative(grid::EquidistantGrid{1}, inner_stencil, closure_stencils) = second_derivative(grid,inner_stencil,closure_stencils,1)
-export second_derivative
+second_derivative(grid::EquidistantGrid{1}, inner_stencil::Stencil, closure_stencils) = second_derivative(grid,inner_stencil,closure_stencils,1)
+
+"""
+    second_derivative(grid, stencil_set, direction)
+
+Creates a `second_derivative` operator on `grid` along coordinate dimension `direction` given a parsed TOML
+`stencil_set`.
+"""
+function second_derivative(grid::EquidistantGrid, stencil_set, direction)
+    inner_stencil = parse_stencil(stencil_set["D2"]["inner_stencil"])
+    closure_stencils = parse_stencil.(stencil_set["D2"]["closure_stencils"])
+    second_derivative(grid,inner_stencil,closure_stencils,direction);
+end