Publications

Preprints Link to heading

1. Energy consistent hyperbolic approximation for a class of fourth-order partial differential equations (2026)

   Barthwal, R., Dhaouadi, F. and Rohde, C.

   arXiv:2608.09478

   preprint   
2. Analysis and structure-preserving discretization of the Heat-GLM system (2026)

   Dhaouadi, F., Río-Martín, L. and Dumbser, M.

   arXiv:2607.22151

   preprint   

Articles in peer-reviewed journals Link to heading

1. On hyperbolic approximations for a class of dispersive and diffusive-dispersive equations (2026)

   Barthwal, R., Dhaouadi, F. and Rohde, C.

   Journal of Nonlinear Science, 36(5), p.106.

   preprint    journal   
2. Structure preserving finite volume schemes on Voronoi grids: curl involution, asymptotic limit and thermodynamics (2026)

   Boscheri, W. and Dhaouadi, F.

   Journal of Scientific Computing, 107(3), p.80.

   preprint    journal   
3. A first-order hyperbolic reformulation of the Cahn-Hilliard equation (2025)

   Dhaouadi, F., Dumbser, M. and Gavrilyuk, S.

   Proceedings of the Royal Society A, 481(2312), p.20240606.

   preprint    journal   
4. An exactly curl-free finite-volume/finite-difference scheme for a hyperbolic compressible isentropic two-phase model (2025)

   Río-Martín, L., Dhaouadi, F. and Dumbser, M.

   Journal of Scientific Computing, 102(1), p.13.

   preprint    journal    Accepted Copy   
5. An Eulerian hyperbolic model for heat transfer derived via Hamilton’s principle: analytical and numerical study (2024)

   Dhaouadi, F. and Gavrilyuk, S.

   Proceedings of the Royal Society A, 480(2283), p.20230440.

   preprint    journal    Accepted Copy    Code   
6. A structure-preserving finite volume scheme for a hyperbolic reformulation of the Navier–Stokes–Korteweg equations (2023)

   Dhaouadi, F. and Dumbser, M.

   Mathematics, 11(4), p.876.

   journal    Accepted Copy   
7. A first order hyperbolic reformulation of the Navier-Stokes-Korteweg system based on the GPR model and an augmented Lagrangian approach (2022)

   Dhaouadi, F. and Dumbser, M.

   Journal of Computational Physics, 470, p.111544.

   journal    Accepted Copy   
8. Hyperbolic relaxation models for thin films down an inclined plane (2022)

   Dhaouadi, F., Gavrilyuk, S. and Vila, J.P.

   Applied Mathematics and Computation, 433, p.127378.

   journal    Accepted Copy   
9. Stability theory for some scalar finite difference schemes: validity of the modified equations approach (2021)

   Dhaouadi, F., Duval, E., Tkachenko, S. and Vila, J.P.

   ESAIM: Proceedings and Surveys, 70, pp.124-136.

   preprint    journal    Accepted Copy   
10. Extended Lagrangian approach for the defocusing nonlinear Schrödinger equation (2019)

    Dhaouadi, F., Favrie, N. and Gavrilyuk, S.

    Studies in Applied Mathematics, 142(3), pp.336-358.

    preprint    journal    Accepted Copy   

PhD thesis Link to heading

1. An augmented Lagrangian approach for Euler-Korteweg type equations (2020)
   Université Paul Sabatier - Toulouse III
   theses.fr    PDF

Dissemination activities Link to heading