A New Triangular Finite-Element with Optimum Constraint Ratio for Compressible Fluids. - Daniel Y. Le Roux (SIAM J. Sci. Comput., 2001)

Dispersion Relation Analysis of the $P^NC_1 - P^_1$ Finite-Element Pair in Shallow-Water Models. - Daniel Y. Le Roux (SIAM J. Sci. Comput., 2005)

Conservative semi-implicit semi-Lagrangian scheme for simulation of shallow flows. - Abdolmajid Mohammadian; Daniel Y. Le Roux (Comput. Phys. Commun., 2006)

Analysis of Numerically Induced Oscillations in 2D Finite-Element Shallow-Water Models Part I: Inertia-Gravity Waves. - Daniel Y. Le Roux; Virgile Rostand; Benoit Pouliot (SIAM J. Sci. Comput., 2007)

Kernel Analysis of the Discretized Finite Difference and Finite Element Shallow-Water Models. - Virgile Rostand; Daniel Y. Le Roux; Graham F. Carey (SIAM J. Sci. Comput., 2008)

Analysis of Numerically Induced Oscillations in Two-Dimensional Finite-Element Shallow-Water Models Part II: Free Planetary Waves. - Daniel Y. Le Roux; Benoit Pouliot (SIAM J. Sci. Comput., 2008)

Time Discretization Schemes for Poincaré Waves in Finite-Element Shallow-Water Models. - Daniel Y. Le Roux; Michel Dieme; Abdou Sène (SIAM J. Sci. Comput., 2011)

Spurious inertial oscillations in shallow-water models. - Daniel Y. Le Roux (J. Comput. Phys., 2012)

Dispersion analysis of compatible Galerkin schemes for the 1D shallow water model. - Christopher Eldred; Daniel Y. Le Roux (J. Comput. Phys., 2018)

Dispersion analysis of compatible Galerkin schemes on quadrilaterals for shallow water models. - Christopher Eldred; Daniel Y. Le Roux (J. Comput. Phys., 2019)

Fourier Analyses of High-Order Continuous and Discontinuous Galerkin Methods. - Daniel Y. Le Roux; Christopher Eldred; Mark A. Taylor (SIAM J. Numer. Anal., 2020)

A super-convergent quasi-discontinuous Galerkin method for approximating inertia-gravity and Rossby waves in geophysical flows. - Daniel Y. Le Roux (J. Comput. Phys., 2024)