About Me
I am a third-year PhD student at the Institut de Mathématiques de Toulouse. My advisors are Jean-François Coulombel and Grégory Faye. The main goal of my thesis is to prove a result of orbital nonlinear stability of discrete shock profiles for systems of conservation laws.
Research
Preprints
- Linear stability of discrete shock profiles for systems of conservation laws (2023, submitted) - [HAL],[arXiv],[PDF version]
- Tamed stability of finite difference schemes for the transport equation on the half-line (2023, accepted for publication in Mathematics of Computation) - [Journal], [HAL],[arXiv]
- Local limit theorem for complex valued sequences (2022, submitted) - [HAL],[arXiv]
Proceedings
- Large time behavior of finite difference schemes for the transport equation, HYP 2022 (accepted for publication) - [HAL]
Organizing responsabilities
- Co-organizer of the PDE doctoral seminar at the Institut de Mathématiques de Toulouse 09/2023 - Present
Seminars and Conferences
- Seminar EMA, November 23, 2023, Calais (France) - [Slides]
- Seminar of Numerical Analysis of the IRMAR, November 16, 2023, Rennes (France) - [Slides]
- Congrès des Jeunes Chercheurs en Mathématiques et Applications 2023, September 25-27, 2023, Gif-sur-Yvette (France) - [Slides]
- Numhyp23 : Numerical Methods for Hyperbolic Problems, June 26-30, 2023, Bordeaux (France) - [Slides]
- Workshop on spatial dynamics and related approaches, September 5-7, 2022, Stuttgart (Germany) - [Poster]
- XVIII International Conference on Hyperbolic Problems: Theory, Numerics, and Applications, June 20-24, 2022, Málaga (Spain) - [Slides]
Teaching
- 2023-2024:
- Functions and Calculus 1, L1, TD, first semester, 28H
- Introduction to Real Analysis, L1, TD/TP, second semester, 32H
- 2022-2023:
- Functions and Calculus 1, L1, TD, first semester, 28H
- Linear Algebra 1, L1, TP, first semester, 4H
- Introduction to Real Analysis, L1, TD/TP, second semester, 32H
- Linear Algebra 1, L1, TP, second semester, 4H
- 2021-2022:
- Numerical Methods, L2, TD/TP, first semester, 24H
- Analysis, L1, Demi-cours/TD/TP, second semester, 41H
Email
lucas.coeuret@math.univ-toulouse.fr
Address
Institut de Mathématiques de Toulouse
Université Paul Sabatier
118, route de Narbonne
F-31062 Toulouse Cedex 9
Bâtiment 1R3, bureau 301.