Research

Publications
  • Thomas Jacumin and Andreas Langer, 2025. “An Adaptive Finite Difference Method for Total Variation Minimization”. Numer Algor. doi: 10.1007/s11075-025-02044-6.
  • Zakaria Belhachmi and Thomas Jacumin. “Adjoint Method in PDE-Based Image Compression.” Asymptotic Analysis, October 7, 2024, 1–28. doi: 10.3233/ASY-241944.
  • Zakaria Belhachmi and Thomas Jacumin. “Optimal interpolation data for PDE-based compression of images with noise”. en. In: Communications in Nonlinear Science and Numerical Simulation 109 (June 2022), p. 106278. issn: 1007-5704. doi: 10.1016/j.cnsns.2022.106278.

Proceedings
  • Thomas Jacumin, Roland Masson, Laurent Jeannin, and Arthur Dartois. “A Coats-Based Formulation for Multiphase Reactive Transport: Application to Hydrogen Storage in Porous Media.” ECMOR 2026, 2026, 1–20. doi: 10.3997/2214-4609.202637078.

Preprints
  • Thomas Jacumin, Roland Masson, Laurent Jeannin and Arthur Dartois. A Coats-Based Formulation for Multiphase Reactive Transport: Application to Hydrogen Storage in Porous Media. (to appear).
  • Zakaria Belhachmi and Thomas Jacumin. Optimal Transport Model of Optical Flow Estimation: Constant and Varying Illumination Cases. hal:04829141. Dec. 2024. hal: hal-04829141 (Submitted in Journal of Mathematical Study).
  • Zakaria Belhachmi and Thomas Jacumin. Iterative Approach to Image Compression with Noise: Optimizing Spatial and Tonal Data. arXiv:2209.14706. Sept. 2022. doi: 10.48550/arXiv.2209.14706.

Software