3 papers
math.NA2024
The Neumann boundary condition for the two-dimensional Lax-Wendroff scheme. II
Antoine Benoit, Jean-François Coulombel
We study the stability of a two-dimensional Lax-Wendroff scheme in a quarter-plane. Following our previous work, we aim here at adapting the energy method in order to study second…
math.NA2022
The Neumann boundary condition for the two-dimensional Lax-Wendroff scheme
Jean-François Coulombel, Antoine Benoit
We study the stability of the two-dimensional Lax-Wendroff scheme with a stabilizer that approximates solutions to the transport equation. The problem is first analyzed in the whol…
math.AP2017
Long-time homogenization and asymptotic ballistic transport of classical waves
Antoine Benoit, Antoine Gloria
Consider an elliptic operator in divergence form with symmetric coefficients.If the diffusion coefficients are periodic, the Bloch theorem allows one to diagonalize the elliptic op…