24 citations · 30 across the 4 of their papers we have counts for
5 papers
Formal ternary laws and Buchstaber's 2-groups
David Coulette, Frédéric Déglise, Jean Fasel +1
We develop the algebraic formalism of the formal ternary laws of C. Walter and we compare them to Buchstaber's 2-valued formal group laws. We also compute the "elementary" formal t…
High-order implicit palindromic discontinuous Galerkin method for kinetic-relaxation approximation
David Coulette, Emmanuel Franck, Philippe Helluy +2
We construct a high order discontinuous Galerkin method for solving general hyperbolic systems of conservation laws. The method is CFL-less, matrix-free, has the complexity of an e…
Task-based parallelization of an implicit kinetic scheme
Jayesh Badwaik, Matthieu Boileau, David Coulette +4
In this paper we present and implement the Palindromic Discontinuous Galerkin (PDG) method in dimensions higher than one. The method has already been exposed and tested in [4] in t…
Palindromic discontinuous Galerkin method for kinetic equations with stiff relaxation
David Coulette, Emmanuel Franck, Philippe Helluy +2
We present a high order scheme for approximating kinetic equations with stiff relaxation. The objective is to provide efficient methods for solving the underlying system of conserv…
Chodura and Debye sheaths for magnetic fields with grazing incidence -- kinetic simulations
David Coulette, Giovanni Manfredi
When an unmagnetized plasma comes in contact with a material surface, the difference in mobility between the electrons and the ions creates a nonneutral layer known as the Debye sh…