--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/src/SbpOperators/laplace/secondderivative.jl	Sat Sep 26 15:22:13 2020 +0200
@@ -0,0 +1,45 @@
+"""
+    SecondDerivative{T<:Real,N,M,K} <: TensorOperator{T,1}
+Implements the Laplace tensor operator `L` with constant grid spacing and coefficients
+in 1D dimension
+"""
+
+struct SecondDerivative{T,N,M,K} <: TensorOperator{T,1}
+    h_inv::T # The grid spacing could be included in the stencil already. Preferable?
+    innerStencil::Stencil{T,N}
+    closureStencils::NTuple{M,Stencil{T,K}}
+    parity::Parity
+    #TODO: Write a nice constructor
+end
+export SecondDerivative
+
+LazyTensors.domain_size(D2::SecondDerivative, range_size::NTuple{1,Integer}) = range_size
+
+#TODO: The 1D tensor mappings should not have to dispatch on 1D tuples if we write LazyTensor.apply for vararg right?!?!
+#      Currently have to index the Tuple{Index} in each method in order to call the stencil methods which is ugly.
+#      I thought I::Vararg{Index,R} fell back to just Index for R = 1
+
+# Apply for different regions Lower/Interior/Upper or Unknown region
+function LazyTensors.apply(D2::SecondDerivative{T}, v::AbstractVector{T}, I::Index{Lower}) where T
+    return @inbounds D2.h_inv*D2.h_inv*apply_stencil(D2.closureStencils[Int(I)], v, Int(I))
+end
+
+function LazyTensors.apply(D2::SecondDerivative{T}, v::AbstractVector{T}, I::Index{Interior}) where T
+    return @inbounds D2.h_inv*D2.h_inv*apply_stencil(D2.innerStencil, v, Int(I))
+end
+
+function LazyTensors.apply(D2::SecondDerivative{T}, v::AbstractVector{T}, I::Index{Upper}) where T
+    N = length(v) # TODO: Use domain_size here instead? N = domain_size(D2,size(v))
+    return @inbounds D2.h_inv*D2.h_inv*Int(D2.parity)*apply_stencil_backwards(D2.closureStencils[N-Int(I)+1], v, Int(I))
+end
+
+function LazyTensors.apply(D2::SecondDerivative{T}, v::AbstractVector{T}, index::Index{Unknown}) where T
+    N = length(v)  # TODO: Use domain_size here instead?
+    r = getregion(Int(index), closuresize(D2), N)
+    I = Index(Int(index), r)
+    return LazyTensors.apply(D2, v, I)
+end
+
+LazyTensors.apply_transpose(D2::SecondDerivative{T}, v::AbstractVector{T}, I::Index) where {T} = LazyTensors.apply(D2, v, I)
+
+closuresize(D2::SecondDerivative{T,N,M,K}) where {T<:Real,N,M,K} = M