Weak Stability of Nonuniformly Stable Multidimensional Shocks. - Jean-François Coulombel (SIAM J. Math. Anal., 2002)

Stability of Finite Difference Schemes for Hyperbolic Initial Boundary Value Problems. - Jean-François Coulombel (SIAM J. Numer. Anal., 2009)

Semigroup stability of finite difference schemes for multidimensional hyperbolic initial-boundary value problems. - Jean-François Coulombel; Antoine Gloria (Math. Comput., 2011)

Discrete transparent boundary conditions for the two-dimensional leap-frog scheme. - Christophe Besse; Jean-François Coulombel; Pascal Noble (CoRR, 2019)

High order numerical schemes for transport equations on bounded domains. - Benjamin Boutin; Thi Hoai Thuong Nguyen; Abraham Sylla; Sébastien Tran-Tien; Jean-François Coulombel (CoRR, 2019)

On some stable boundary closures of finite difference schemes for the transport equation. - Jean-François Coulombel; Tomas Lundquist (CoRR, 2020)

The Leray-Gårding method for finite difference schemes. II. Smooth crossing modes. - Jean-François Coulombel (CoRR, 2020)

Generalized gaussian bounds for discrete convolution powers. - Jean-François Coulombel; Grégory Faye (CoRR, 2020)

Sharp stability for finite difference approximations of hyperbolic equations with boundary conditions. - Jean-François Coulombel; Grégory Faye (CoRR, 2021)

The Green's function of the Lax-Wendroff and Beam-Warming schemes. - Jean-François Coulombel (CoRR, 2022)

The Neumann boundary condition for the two-dimensional Lax-Wendroff scheme. - Jean-François Coulombel; Antoine Benoit (CoRR, 2022)

The Neumann boundary condition for the two-dimensional Lax-Wendroff scheme. II. - Antoine Benoit; Jean-François Coulombel (CoRR, 2024)

The local limit theorem for complex valued sequences: the parabolic case. - Jean-François Coulombel; Grégory Faye (CoRR, 2024)

Nonlinear orbital stability of stationary shock profiles for the Lax-Wendroff scheme. - Jean-François Coulombel; Grégory Faye (CoRR, 2024)

Amplification of numerical wave packets for transport equations with two boundaries. - Romain Bonnet-Eymard; Jean-François Coulombel; Grégory Faye (CoRR, 2025)