A numerical strategy for radiative transfer problems with higly oscillating opacities. - Julien Mathiaud; Francesco Salvarani (Appl. Math. Comput., 2013)

Contribution à la modélisation et à la simulation des écoulements complexes : application à la rentrée atmosphérique et aux interactions particules-fluide. (Models and methods for complex flows: application to atmospheric reentry and particle / fluid interactions). - Julien Mathiaud (2018)

Numerical boundary conditions in Finite Volume and Discontinuous Galerkin schemes for the simulation of rarefied flows along solid boundaries. - Céline Baranger; Nicolas Hérouard; Julien Mathiaud; Luc Mieussens (Math. Comput. Simul., 2019)

Inverse ray tracing on icosahedral tetrahedron grids for non-linear laser plasma interaction coupled to 3D radiation hydrodynamics. - Arnaud Colaïtis; I. V. Igumenshchev; Julien Mathiaud; Valeri N. Goncharov (J. Comput. Phys., 2021)

A deterministic numerical scheme for an electron heat transport model. - Antoine Chrisment; A. Debayle; Jean-Luc Feugeas; Pascal Loiseau; P.-E. Masson-Laborde; Julien Mathiaud; Ph. Nicolaï; Vladimir Tikhonchuk (Math. Comput. Simul., 2023)

An asymptotic preserving kinetic scheme for the M1 model of linear transport. - Jean-Luc Feugeas; Julien Mathiaud; Luc Mieussens; Thomas Vigier (Math. Comput. Simul., 2024)

An asymptotic preserving scheme for the M1model of non-local thermal transport for two-dimensional structured and unstructured meshes. - Jean-Luc Feugeas; Julien Mathiaud; Luc Mieussens; Thomas Vigier (CoRR, 2025)

Generalized UGK scheme in the diffusive. - Julien Mathiaud; Luc Mieussens; Nicolas Crouseilles (CoRR, 2025)