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 …

The discontinuous spectral element method (DSEM) coupled with an element-by-element
sweeping strategy is proposed as a solution to the radiative transfer equation (RTE) for …

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 …

Thermal radiation is an important physical process and a key mechanism in a class of
challenging engineering and research problems. The principal exascale-candidate …

In recent years, heterogeneous hardware have generalized in almost all supercomputer
nodes, requiring a profound shift on the way numerical applications are implemented. This …

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 conservation …

To address the performance and programming challenges from the constantly evolving
computer architecture in parallel discrete ordinates method, this paper presents our continue …

Advances in high performance computing hardware systems lead to higher levels of
parallelism and optimizations in scientific applications and more specifically in …

This paper describes the implementation of DONUT, a small multi-group S N-DG transport
solver that aims at providing efficient and portable sweep kernels on shared-memory …

Cette thèse avait comme but de départ le développement et l'implémentation d'un solveur
rapide d'ordonnées discrètes, dit SN, pour les Réacteurs à Neutrons Rapides (RNRs) dans …