Most of my projects are written in French, please contact me for any information about them.
November 2025-April 2026
Supervised by: Helin GONG and Yvon MADAY.
Project to be defined on AI, Reduced Basis and Data Assimilation
Coming not really soon.
April-September 2025
Supervised by: Erell JAMELOT and Andrew PEITAVY.
Discontinuous Galerkin Method and "a posteriori" estimators
May-August
Supervised by: Giovanni STABILE
Project ERC StG DANTE - Data Aware efficient models of the urban microclimate.
Study of an a posteriori error estimator for Reduced Order Models of Finite Volume Methods in CFD
I proposed a weak formulation of Finite Volume Method (FVM) to make use of an a posteriori error estimator of Reduced Order Models (ROM) defined in the framework of Finite Element Method (FEM).
I also created a research diary, longer than the report, in which I wrote all my ideas, addition material and demonstrations and our detailed methodology:
February
Supervised by: Magalie FROMONT
Research project and presentation of results in a lecture format in collaboration with Rachelle RUELLE on approximation spaces for deep neural networks.
December
Supervised by: Rémi Carles
Research project and presentation of results in a lecture format in collaboration with Maxence MICHOT on general solutions of the Schrödinger equation.
May-July
Internship supervisor: Alberto ROSSO
Numerical analysis of branching processes
Modeling and statistical analysis of critical branching processes such as Lévy flights and Brownian motion and their clustering statistics in the neutronic and avalanche cases.
January-April
Supervised by: Hugo Eulry
Classical methods for solving linear and non-linear partial differential equations
Research project in collaboration with Dimitry BERGEAULT on classical methods for solving partial differential equations. We gathered knowledge through reading articles and books, constructed Sobolev spaces, several representation theorems (Lax-Milgram, Riesz, ...) and solved classical equations.
2021-2022
Supervised by: Pascal TONNELIER, MP* mathematics professor
Generation of virtual data through Generative Adversarial Networks
Project in collaboration with Junior ROGNON.
Partial proof of the correction of generative adversarial network (GAN) algorithms with Lebesgue Measure Theory and application to medical data of breast cancer.
Code.
2019-2021
Supervised by: Marie HEZARD and Pascal TONNELIER, MPSI and MP* mathematics professors
Optimisation of a warehouse layout
Numerical optimization of a set of rectangles in a limited space. The goal was to calculate the best arrangement and try different methods to obtain reliable results in a short amount of time.
Email: raphael.lecoq [at] ens-rennes.fr
Updated: April 2025