Convergence of an explicit finite volume scheme for first order symmetric systems. - Jean-Paul Vila; Philippe Villedieu (Numerische Mathematik, 2003)

A quadrature-based moment method for dilute fluid-particle flows. - Olivier Desjardins; Rodney O. Fox; Philippe Villedieu (J. Comput. Phys., 2008)

An accurate low-Mach scheme for a compressible two-fluid model applied to free-surface flows. - Nicolas Grenier; Jean-Paul Vila; Philippe Villedieu (J. Comput. Phys., 2013)

A non-overlapping optimized Schwarz method for the heat equation with non linear boundary conditions and with applications to de-icing. - Lokman Bennani; Pierre Trontin; Remi Chauvin; Philippe Villedieu (Comput. Math. Appl., 2020)

Non-conservative Godunov-type schemes: Application to two-phase flows with surface tension using Lagrange-transport splitting strategy. - Lucas Tallois; Simon Peluchon; Gérard Gallice; Philippe Villedieu (J. Comput. Phys., 2025)