--- a/src/SbpOperators/volumeops/derivatives/first_derivative.jl	Wed Mar 23 12:39:35 2022 +0100
+++ b/src/SbpOperators/volumeops/derivatives/first_derivative.jl	Wed Mar 23 12:43:03 2022 +0100
@@ -1,14 +1,14 @@
 """
     first_derivative(grid::EquidistantGrid, inner_stencil, closure_stencils, direction)
 
-Creates the first-derivative operator `D1` as a `TensorMapping`
+Creates the first-derivative operator `D1` as a `LazyTensor`
 
 `D1` approximates the first-derivative d/dξ on `grid` along the coordinate dimension specified by
 `direction`, using the stencil `inner_stencil` in the interior and a set of stencils `closure_stencils`
 for the points in the closure regions.
 
 On a one-dimensional `grid`, `D1` is a `VolumeOperator`. On a multi-dimensional `grid`, `D1` is the outer product of the
-one-dimensional operator with the `IdentityMapping`s in orthogonal coordinate dirrections.
+one-dimensional operator with the `IdentityTensor`s in orthogonal coordinate dirrections.
 
 See also: [`volume_operator`](@ref).
 """
@@ -16,16 +16,31 @@
     h_inv = inverse_spacing(grid)[direction]
     return SbpOperators.volume_operator(grid, scale(inner_stencil,h_inv), scale.(closure_stencils,h_inv), odd, direction)
 end
-first_derivative(grid::EquidistantGrid{1}, inner_stencil::Stencil, closure_stencils) = first_derivative(grid,inner_stencil,closure_stencils,1)
+
 
 """
-    first_derivative(grid, stencil_set, direction)
+    first_derivative(grid, inner_stencil, closure_stencils)
+
+Creates a `first_derivative` operator on a 1D `grid` given `inner_stencil` and `closure_stencils`.
+"""
+first_derivative(grid::EquidistantGrid{1}, inner_stencil::Stencil, closure_stencils) = first_derivative(grid, inner_stencil, closure_stencils, 1)
+
 
-Creates a `first_derivative` operator on `grid` along coordinate dimension `direction` given a parsed TOML
-`stencil_set`.
 """
-function first_derivative(grid::EquidistantGrid, stencil_set, direction)
+    first_derivative(grid, stencil_set::StencilSet, direction)
+
+Creates a `first_derivative` operator on `grid` along coordinate dimension `direction` given a `stencil_set`.
+"""
+function first_derivative(grid::EquidistantGrid, stencil_set::StencilSet, direction)
     inner_stencil = parse_stencil(stencil_set["D1"]["inner_stencil"])
     closure_stencils = parse_stencil.(stencil_set["D1"]["closure_stencils"])
     first_derivative(grid,inner_stencil,closure_stencils,direction);
 end
+
+
+"""
+    first_derivative(grid, stencil_set)
+
+Creates a `first_derivative` operator on a 1D `grid` given a `stencil_set`.
+"""
+first_derivative(grid::EquidistantGrid{1}, stencil_set::StencilSet) = first_derivative(grid, stencil_set, 1)