Partial differential equations

AMJAX
ML library
Algebraic multigrid solvers in JAX.
Jan 1, 2026
HighDimPDE.jl
ML library
A Julia package that breaks down the curse of dimensionality when solving nonlocal, nonlinear PDEs.
Jan 1, 2021
Chaotic Slow Slip Events in New Zealand from Two Coupled Slip Patches: A Proof of Concept
Peer-reviewed
2026 ARC Geophysical Research
T. Poulet, S. Truttmann, Victor Boussange, M. Veveakis
PDF Code DOI
Developing an algebraic multigrid solver in JAX
Student project
This project aims to develop a high-performance algebraic multigrid (AMG) solver in JAX that supports automatic differentiation and GPU acceleration, addressing critical gaps in existing Python and Julia implementations. The work will enable efficient gradient-based optimization in scientific machine learning applications requiring large-scale linear system solves, with potential to significantly impact the JAX ecosystem for differentiable physics simulations and inverse problems.
Nov 19, 2025
Developing an algebraic multigrid solver in JAX
Differentiable Programming for Differential Equations: A Review
Peer-reviewed
Accepted at SIAM Review.
2025 arXiv
F. Sapienza, J. Bolibar, F. Schäfer, B. Groenke, A. Pal, Victor Boussange, P. Heimbach, G. Hooker, F. Pérez, P. O. Persson, C. Rackauckas
PDF DOI
Forward and inverse modelling of eco-evolutionary dynamics in ecological and economic systems
Book/report
2022
Victor Boussange
PDF Cite
Forward and inverse modelling of eco-evolutionary dynamics in ecological and economic systems
Deep learning approximations for non-local nonlinear PDEs with Neumann boundary conditions
Peer-reviewed
2022 Partial Differential Equations and Applications
Victor Boussange, Sebastian Becker, Arnulf Jentzen, Benno Kuckuck, Loïc Pellissier
PDF Cite Code
Deep learning approximations for non-local nonlinear PDEs with Neumann boundary conditions