29 citations · 61 across the 17 of their papers we have counts for
3 papers · 1 filter
Dynamics of epidemic spreading on connected graphs
Christophe Besse, Grégory Faye
We propose a new model that describes the dynamics of epidemic spreading on connected graphs. Our model consists in a PDE-ODE system where at each vertex of the graph we have a sta…
Superconvergence of the Strang splitting when using the Crank-Nicolson scheme for parabolic PDEs with Dirichlet and oblique boundary conditions
Guillaume Bertoli, Christophe Besse, Gilles Vilmart
We show that the Strang splitting method applied to a diffusion-reaction equation with inhomogeneous general oblique boundary conditions is of order two when the diffusion equation…
Gradient Flow Approach to the Calculation of Stationary States on Nonlinear Quantum Graphs
Christophe Besse, Romain Duboscq, Stefan Le Coz
We introduce and implement a method to compute stationary states of nonlinear Schr\''odinger equations on metric graphs. Stationary states are obtained as local minimizers of the n…