• Make sure to run the following tests with Julia 1.11.7.

• Clone the reproducibility repository and navigate to the directory:

git clone git@github.com:amrueda/paper_2025_sbp_fdec.git
cd paper_2025_sbp_fdec

• Instantiate the code:

julia --project=./code -e 'import Pkg; Pkg.instantiate()'

• The following convergenge tests output XML files with three columns. The first column is the data for $E_x$, the second one for $E_y$ and the third one for $B_z$.

• Run the convergence tests for the weak form variant with SSPRK time integration for one element:

julia --project=./code -e 'include(joinpath("code", "examples", "convergence_weak_form.jl"))'

• Run the convergence tests for the weak form variant with Crank-Nicolson time integration for one element:

julia --project=./code -e 'include(joinpath("code", "examples", "convergence_weak_form_implicit.jl"))'

• Run the convergence tests for the strong form variant with SSPRK time integration for one element as validation of the equivalence to the weak form. This test is not shown in the paper since the results are the same up to machine precision.

julia --project=./code -e 'include(joinpath("code", "examples", "convergence_strong_form.jl"))'

• Run the convergence tests for the weak form variant with SSPRK time integration for a constant number of nodes per element. This runs several convergence tests for varying amounts of points:

julia --project=./code -e 'include(joinpath("code", "examples", "convergence_var_nodes.jl"))'

• The last two tests output the divergence and energy plots:

• Run the energy and divergence tests to T = 1 for a coarse and a fine resolution:

julia --project=./code -e 'include(joinpath("code", "examples", "div_energy_coarse_fine.jl"))'

• Run the energy and divergence tests to T = 10000 for a coarse resolution:

julia --project=./code -e 'include(joinpath("code", "examples", "div_energy_test_T10000.jl"))'