Sparsity enabled cluster reduced-order models for control. - Eurika Kaiser; Marek Morzynski; Guillaume Daviller; J. Nathan Kutz; Bingni W. Brunton; Steven L. Brunton (J. Comput. Phys., 2018)

A stable Spectral Difference approach for computations with triangular and hybrid grids up to the 6th order of accuracy. - Adèle Veilleux; Guillaume Puigt; Hugues Deniau; Guillaume Daviller (J. Comput. Phys., 2022)

Stable Spectral Difference Approach Using Raviart-Thomas Elements for 3D Computations on Tetrahedral Grids. - Adèle Veilleux; Guillaume Puigt; Hugues Deniau; Guillaume Daviller (J. Sci. Comput., 2022)

Learning an optimised stable Taylor-Galerkin convection scheme based on a local spectral model for the numerical error dynamics. - Luciano Drozda; Pavanakumar Mohanamuraly; Lionel Cheng; Corentin Lapeyre; Guillaume Daviller; Yuval Realpe; Amir Adler; Gabriel Staffelbach; Thierry Poinsot (J. Comput. Phys., 2023)

Artificial viscosity-based shock capturing scheme for the Spectral Difference method on simplicial elements. - Nadir-Alexandre Messaï; Guillaume Daviller; Jean-François Boussuge (J. Comput. Phys., 2024)

Extending the machine-learned optimised stable Taylor-Galerkin scheme to solve the Burgers' equation. - Pavanakumar Mohanamuraly; Corentin Lapeyre; Guillaume Daviller; Amir Adler; Gabriel Staffelbach (J. Comput. Phys., 2025)