4 papers
Amplification of numerical wave packets for transport equations with two boundaries
Romain Bonnet-Eymard, Jean-François Coulombel, Grégory Faye
The purpose of this note is to investigate the coupling of Dirichlet and Neumann numerical boundary conditions for the transport equation set on an interval. When one starts with a…
Nonlinear orbital stability of stationary shock profiles for the Lax-Wendroff scheme
Jean-François Coulombel, Grégory Faye
In this article we study the spectral, linear and nonlinear stability of stationary shock profile solutions to the Lax-Wendroff scheme for hyperbolic conservation laws. We first cl…
The local limit theorem for complex valued sequences: the parabolic case
Jean-François Coulombel, Grégory Faye
We give a complete expansion, at any accuracy order, for the iterated convolution of a complex valued integrable sequence in one space dimension. The remainders are estimated sharp…
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…