These codes implement the experiments for the article “Multigrid methods for total variation” (arXiv:2502.18659) by Felipe Guerra and Tuomo Valkonen. Prerequisites These codes were written for Julia 1.11. You may get Julia from julialang.org. Usage Navigate your unix (or other) 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 MultigridCodes This may take a while as Julia precompiles the code. Then, to generate all the experiments for the article > batchrun_article() The results will be saved on disk. Data sources The Blue Marble image is in the public domain. It is loaded via the Julia TestImages package. The file phantom_slice.mat is extracted, as described in phantom_slice.md, from Belzunce, M. A. (2018). High-Resolution Heterogeneous Digital PET [18F]FDG Brain Phantom based on the BigBrain Atlas (1.0) [Data set]. Zenodo. https://doi.org/10.5281/zenodo.1190598