Guillaume Bonnet

Department of Mathematics
University of Maryland
College Park, MD 20742

Room 4104


I am a postdoctoral researcher in applied mathematics at University of Maryland, in the team of Ricardo Nochetto. Previously, I worked with Andrea Cangiani at SISSA and with Jean-Marie Mirebeau and Frédéric Bonnans at Université Paris-Saclay and École polytechnique. My main research topic so far is finite-difference and finite-element-type numerical schemes for nonlinear degenerate elliptic PDEs such as the Hamilton-Jacobi-Bellman and Monge-Ampère equations, and for linear nondivergence form diffusion problems.



Works under finalization

  • With A. Cangiani and R. Nochetto. Virtual element discretization of linear and nonlinear nondivergence form diffusion equations.


  • Discretization of the second boundary value problem for the Monge-Ampère equation using Voronoi’s first reduction, SIAM Conference on Computational Science and Engineering 2023, March 2023, Amsterdam, Netherlands
  • Finite difference discretization of degenerate elliptic equations using Voronoi’s first reduction, Workshop on the theory and numerics of Mean Field Games and Hamilton-Jacobi equations, June 2022, Rome, Italy.
  • Monotone finite difference discretization of the Monge-Ampère equation of optimal transport, Oberwolfach Workshop on Numerical Methods for Fully Nonlinear and Related PDEs, June 2021, Oberwolfach, Germany.
  • A linear finite difference scheme to approach Randers distances on Cartesian grids, SMAI 2021, June 2021, La Grande-Motte, France. Parallel session: Numerical methods.
  • Efficient discretizations of non-linear and anisotropic PDEs on Cartesian grids, ICIAM 2019, July 2019, Valencia, Spain. Mini-symposium: Anisotropic variational models and anisotropic PDEs.
  • Efficient discretizations of non-linear and anisotropic PDEs on Cartesian grids, Mafelap 2019, June 2019, Brunel University London, UK. Mini-symposium: Numerical methods for nonvariational PDEs.

PhD manuscript


I was involved in teaching the following courses:

  • Math 246H — Differential Equations for Engineers Honors, University of Maryland (primary teacher).
  • MATLAB refresher course, Master of Applied Mathematics, Université Paris-Saclay (primary teacher).
  • Numerical analysis with Python, Bachelor of Mathematics, Université Paris-Saclay.
  • Matrix analysis and optimization, Bachelor of Mathematics, Université Paris-Saclay.

Other activities

I was a coorganizer of the CJC-MA 2021 conference for young researchers in France.

Curriculum vitae

I was born in June, 1997.