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Domain & activity

I am a former member of the MOCO and MACARON teams. My field of research is the model order reduction (MOR) of Hamiltonian systems.

shallow_water

Figure – Shallow water simulation.

Publications & preprints

  • Reduced Particle in Cell method for the Vlasov-Poisson system using auto-encoder and Hamiltonian neural networks
    R. Côte, E. Franck, L. Navoret, G. Steimer, V. Vigon
    Submitted. hal-05116555, arXiv:2506.15203

  • Reduced order modeling using auto-encoder and Hamiltonian neural networks
    R. Côte, E. Franck, L. Navoret, V. Vigon, G. Steimer
    Commun. in Comput. Phys., 2025. doi:10.4208/cicp.OA-2023-0300, hal-04237799, arXiv:2311.06104

  • Hyperbolic reduced model for Vlasov-Poisson equation with Fokker-Planck collision
    E. Franck, I. Labanni, Y. Nasseri, L. Navoret, G. Parasiliti Rantone, G. Steimer
    ESAIM: ProcS; 2024. doi:10.1051/proc/202477213, hal-04099697

Thesis

  • Model order reduction method for Hamiltonian dynamics using deep learning
    G. Steimer
    PhD thesis, Université de Strasbourg, 2025. tel-05219770

(Some) conferences, oral presentations and seminars

  • Model order reduction method for Hamiltonian dynamics using deep learning
    R. Côte, E. Franck, L. Navoret, G. Steimer, V. Vigon
    Seminar, Culham, England, October 21, 2025. slides

  • Model order reduction method for Hamiltonian dynamics using deep learning
    G. Steimer
    PhD defense, Université de Strasbourg, France, Septembre 12, 2025. slides

  • Model order reduction of Hamiltonian systems
    G. Steimer
    Seminar, MAThEOR Days, Sainte-Marie-aux-Mines, France, July 15, 2025. slides

  • Reduced Particle in Cell method for the Vlasov-Poisson system using auto-encoder and Hamiltonian neural network
    R. Côte, E. Franck, L. Navoret, G. Steimer, V. Vigon
    4th International Nonlinear Dynamics Conference (NODYCON 2025), New-York, USA, June 25, 2025. slides

In progress

CEMRACS summer school 2022

I participated in CEMRACS 2022 on the theme "Transport in Physics, Biology, and Urban Traffic". I took part in a project titled "Model order reduction in velocity space and learning for the Vlasov-Maxwell equations" which resulted in a publication doi:10.1051/proc/202477213.