68 citations · 137 across the 20 of their papers we have counts for
23 papers
Integral operator approach over octonions to solution of nonlinear PDE
Emmanuel Frenod, Sergey Victor Ludkowski
Integration of nonlinear partial differential equations with the help of the non-commutative integration over octonions is studied. An apparatus permitting to take into account sym…
Long time simulation of a highly oscillatory Vlasov equation with an exponential integrator
Emmanuel Frenod, Sever Hirstoaga, Mathieu Lutz
We change a previous time-stepping algorithm for solving a multi-scale Vlasov-Poisson system within a Particle-In-Cell method, in order to do accurate long time simulations. As an…
Two-Scale numerical simulation of sand transport problems
Emmanuel Frenod, Ibrahima Faye, Diaraf Seck
In this paper we consider a model for short term dynamics of dunes in tidal area. We construct a Two-Scale Numerical Method based on the fact that the solution of the equation whic…
Homogenization-Based Numerical Mathods, Homogenization, Asymptotic Analysis, Asymptotic Expansion, Numerical Simulation
Emmanuel Frenod
In this note, a classification of Homogenization-Based Numerical Methods and (in particular) of Numerical Methods that are based on the Two-Scale Convergence is done. In this class…
An exponential integrator for a highly oscillatory Vlasov equation
Emmanuel Frenod, Sever Adrian Hirstoaga, Eric Sonnendrücker
In the framework of a Particle-In-Cell scheme for some 1D Vlasov-Poisson system depending on a small parameter, we propose a time-stepping method which is numerically uniformly acc…
Paralic confinement computations in coastal environment with interlocked areas
Jean-Philippe Bernard, Emmanuel Frenod, Antoine Rousseau
This paper is in the continuity of a work program. Its goal is to develop an approach of the paralic confinement usable from the modeling slant, before implementing it in numerical…