A boundary multiplier/fictitious domain method for the steady incompressible Navier-Stokes equations. - Vivette Girault; Roland Glowinski; Hilda López; Jean-Paul Vila (Numerische Mathematik, 2001)

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

Renormalized Meshfree Schemes I: Consistency, Stability, and Hybrid Methods for Conservation Laws. - Nathalie Lanson; Jean-Paul Vila (SIAM J. Numer. Anal., 2008)

Renormalized Meshfree Schemes II: Convergence for Scalar Conservation Laws. - Nathalie Lanson; Jean-Paul Vila (SIAM J. Numer. Anal., 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)

Stability Theory for Difference Approximations of Euler-Korteweg Equations and Application to Thin Film Flows. - Pascal Noble; Jean-Paul Vila (SIAM J. Numer. Anal., 2014)

A numerical reduced model for thin liquid films sheared by a gas flow. - Gianluca Lavalle; Jean-Paul Vila; Ghislain Blanchard; Claire Laurent; F. Charru (J. Comput. Phys., 2015)

Centered-Potential Regularization for the Advection Upstream Splitting Method. - Martin Parisot; Jean-Paul Vila (SIAM J. Numer. Anal., 2016)

An explicit asymptotic preserving low Froude scheme for the multilayer shallow water model with density stratification. - Frédéric Couderc; Arnaud Duran; Jean-Paul Vila (J. Comput. Phys., 2017)

Augmented Skew-Symetric System for Shallow-Water System with Surface Tension Allowing Large Gradient of Density. - Didier Bresch; Nicolas Cellier; Frédéric Couderc; Marguerite Gisclon; Pascal Noble; Gaël Richard; Christian Ruyer-Quil; Jean-Paul Vila (CoRR, 2019)

An accurate multi-regime SPH scheme for barotropic flows. - A. Collé; J. Limido; Jean-Paul Vila (J. Comput. Phys., 2019)

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)

Augmented skew-symmetric system for shallow-water system with surface tension allowing large gradient of density. - Didier Bresch; Nicolas Cellier; Frédéric Couderc; Marguerite Gisclon; Pascal Noble; Gaël Richard; Christian Ruyer-Quil; Jean-Paul Vila (J. Comput. Phys., 2020)

Energy-stable staggered schemes for the Shallow Water equations. - Arnaud Duran; Jean-Paul Vila; Rémy Baraille (J. Comput. Phys., 2020)

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