BHGMC

Academia

My contributions to numerical analysis

From Feb. 2021 to Jan. 2025, I worked on my PhD thesis at the University of Geneva under the guidance of Prof. Bart Vandereycken and Prof. Martin J. Gander. After that, I worked until May 2026 as a postdoctoral researcher at the Paul Scherrer Institute with Prof. Laura Grigori.

The main focus of my research was on dynamical low-rank approximation, and we've published several methods for solving stiff problems and speeding up computations on non-linear problems. All the articles below are accessible in open access, with publicly accessible source code on GitHub for reproducing the numerical experiments.

Mont Blanc and Geneva Lake from La Dôle (France).
Photo by BHGMC.

Papers

  1. 2026

    Sketch low-rank dynamics: orthogonal vs. oblique projections

    Benjamin Carrel, Laura Grigori · arXiv preprint

  2. 2025

    Interpolatory Dynamical Low-Rank Approximation: Theoretical Foundations and Algorithms

    Benjamin Carrel, Daniel Kressner, Hei Yin Lam, Bart Vandereycken · arXiv preprint

  3. 2025

    Randomized Methods for Dynamical Low-Rank Approximation

    Benjamin Carrel · Journal of Computational Physics

  4. 2023

    Low-rank Parareal: a low-rank parallel-in-time integrator

    Benjamin Carrel, Martin J. Gander, Bart Vandereycken · BIT Numerical Mathematics

PhD thesis

Workshops and conferences

2026

  • SciCADE 2026

    Edinburgh, United Kingdom · June-July 2026 · Seminar talk, invited by Marie Billaud-Friess (Aix-Marseille Université)

2025

  • ILAS 2025

    Kaohsiung, Taiwan · June 2025 · Symposium talk, invited by Igor Simunec (EPFL) and Michele Rinelli (KU Leuven)

2024

  • GAMM 2024

    Magdeburg, Germany · March 2024 · Symposium talk, invited by Dominik Sulz (University of Tübingen)

  • SciCADE 2024

    National University of Singapore · July 2024 · Co-organizer of the symposium “Dynamical Low Rank Approximation: from theory to applications”, with Thomas Trigo Trindade (EPFL)

  • SIAM LA 2024

    Sorbonne Université, Paris, France · May 2024 · Symposium talk, invited by Prof. Steffen W. R. Werner (Virginia Tech)

2023

2022

2021