These are the Julia codes for the numerical demonstrations of the manuscript“Differential estimates for fast multilevel nonconvex optimisation” (arXiv:2412.01481). Prerequisites These codes were written for Julia 1.12. You may get Julia from julialang.org. Using Navigate your unix shell to the directory containing this README.md and then run: $ julia --project=. The first time doing this, to ensure all the dependencies are installed, run ]instantiate Afterwards in the Julia shell, type: using TrackingCodes This may take a while as Julia precompiles the code. Then, to generate all the experiments in the manuscript, run: batchrun_demos() You will find the results in the directory res/. To only run the EIT or minimal surface experiments, you can use: TrackingCodes.EIT.batchrun_demos() TrackingCodes.MinSurf.batchrun_demos()