Stability theory for some scalar finite difference schemes : Validity of the modified equations approach. - Firas Dhaouadi; Emilie Duval; Sergey Tkachenko; Jean-Paul Vila (CoRR, 2020)

Hyperbolic relaxation models for thin films down an inclined plane. - Firas Dhaouadi; Sergey L. Gavrilyuk; Jean-Paul Vila (Appl. Math. Comput., 2022)

A first order hyperbolic reformulation of the Navier-Stokes-Korteweg system based on the GPR model and an augmented Lagrangian approach. - Firas Dhaouadi; Michael Dumbser (J. Comput. Phys., 2022)

An Eulerian hyperbolic model for heat transfer derived via Hamilton's principle: analytical and numerical study. - Firas Dhaouadi; Sergey L. Gavrilyuk (CoRR, 2023)

An exactly curl-free finite-volume scheme for a hyperbolic compressible barotropic two-phase model. - Laura Río-Martín; Firas Dhaouadi; Michael Dumbser (CoRR, 2024)

A first-order hyperbolic reformulation of the Cahn-Hilliard equation. - Firas Dhaouadi; Michael Dumbser; Sergey L. Gavrilyuk (CoRR, 2024)

An Exactly Curl-Free Finite-Volume/Finite-Difference Scheme for a Hyperbolic Compressible Isentropic Two-Phase Model. - Laura Río-Martín; Firas Dhaouadi; Michael Dumbser (J. Sci. Comput., 2025)

Structure Preserving Finite Volume Schemes on Voronoi Grids: Curl Involution, Asymptotic Limit and Thermodynamics. - Walter Boscheri; Firas Dhaouadi (CoRR, 2025)