T. P., F. Laurent On the entropy dissipation of systems of quadratures, under review, link.
K. Ait-Ameur, M. Essadki, M. Massot, T. P., Limitation strategies for high-order discontinuous Galerkin schemes applied to an Eulerian model of polydisperse sprays, under review, link.
L. Reboul, T. P., M. Massot, Second-order asymptotic preserving schemes for nonlinear hyperbolic balance laws with stiff relaxation source term, under review, link.
Articles
A. Alvarez-Laguna, T. P. Kinetic theory and moment models for non-equilibrium electrons in a reactive weakly-ionized plasma, accepted for publication in Kin. Rel. Mod., 2025, link.
A. Loison, T. P., S. Kokh, M. Massot, Two-scale modelling of two-phase flows based on the Stationary Action Principle and a Geometric Method Of Moments, J. Fluid Mech., 1003, 2025, A27, link.
A. Loison, S. Kokh, T. P., M. Massot, A unified two-scale gas–liquid multi-fluid model with capillarity and interface regularization through a mass transfer between scales, Int. J. Fluid Mech., 177, 2024, pp. 104857 link.
M. Abdelmalik, Z. Cai, T. P., On the Renormalization Maps for the φ-Divergence Moment Closures Applied in Radiative Transfer, J. Comput. Theor. Transport, 52(6), 2023, pp. 399-428, link.
M. Abdelmalik, Z. Cai, T. P., Moment methods for the 3D radiative transfer equation based on phi-divergences, Comput. Meth. Appl. Mech. Eng., 417(A), 2023, link.
K. Ait-Ameur, S. Kokh, M. Pelanti, M. Massot, T.P., An acoustic-transport splitting method for the barotropic Baer-Nunziato two-phase flow model, ESAIM: Proceeding and surveys, 72, 2023, pp. 94-116, link.
T. P., A moment closure based on a projection on boundary of the realizability domain: Analysis and extension, Kin. Rel. Mod., 15(5), 2022, pp. 793-822, link.
T. P., N. Aguillon, B. Després, E. Godlewski, M. Ndjinga, Existence and uniqueness of generalized solutions to hyperbolic systems with linear fluxes and stiff sources, J. Hyp. Diff. Eq., 18(3), 2021, pp. 653-700, link
T. P., A moment closure based on a projection on boundary of the realizability domain: 1D case, Kin. Rel. Mod., 13(6), 2020, pp. 1243-1280, link
A. Alvarez-Laguna, T. P., T. Magin, P. Chabert, A. Bourdon, M. Massot, An asymptotic preserving well-balanced scheme for the isothermal fluid equation in low-temperature plasma applications, J. Comput. Phys., 419, 2020, pp. 1-29, link
T. P., S. Brull and B. Dubroca, A numerical approach for a system of transport equations in the field of radiotherapy, Commun. Comput. Phys., 25(4), 2018, pp. 1097-1126, pdf
G. Birindelli, J.-L. Feugeas, J. Caron, B. Dubroca, G. Kantor, J. Page, T. P., V. T. Tikhonchuk, and Ph. Nicolaï, High performance modelling of the transport of energetic particles for photon radiotherapy, Phys. Med., spec. issue SFPM 2016 conference, 42, 2017, pp. 305-312, link
T. P., G. W. Alldredge, S. Brull, B. Dubroca and M. Frank, An approximation of the M2 closure: Application in radiotherapy dose simulation, J. Sci. Comput., 71(1) 2017, pp. 71-108, pdf
T. P., D. Aregba-Driollet, S. Brull, B. Dubroca and M. Frank, Relaxation schemes for the M1 model with space-dependent flux: Application to radiotherapy dose calculation, Commun. Comput. Phys., 19(01), 2016, pp. 168-191, pdf
J. Caron, J.-L. Feugeas, B. Dubroca, G. Kantor, C. Dejean, T. P., Ph. Nicolai, E. D'Humières, M. Frank, V. Tikhonchuk, Deterministic model for the transport of energetic particles: Application in the electron radiotherapy, Phys. Medica, 31(8), 2015, pp. 912-921, link
Actes de conférences
Z. Tazakkati, A. Alvarez Laguna, M. Massot, T. P., Derivation of a 4-moment model for electron transport in Hall-effect thrusters from a gyrokinetic model, accepted as Proc. RGD 2024, link.
T. P., Some recent advances on the method of moments in kinetic theory, ESAIM: ProcS, Proc. journées SMAI 2021, 75, 2023, pp. 86-95, link
L. Reboul, T. P., M. Massot, A simple second-order Implicit-Explicit asymptotic preserving scheme for the Hyperbolic Heat equations, AIP Conf. Proc., Proc. RGD32, 2996, 2024, pp. 190003, link
T. P., On the discretization of discontinuous sources of hyperbolic balance laws, Proc. ECCOMAS 2022, link
T. P., Existence of steady two-phase flows with discontinuous boiling effects, AIMS on Appl. Math., Proc. HYP conf. 2018, 10, pp. 603-610, pdf
T. P., S. Brull, B. Dubroca and M. Frank, On the transverse diffusion of beams of photons in radiation therapy, Springer, Proc. HYP conf. 2016, pp. 465-477, pdf
T. P., G. W. Alldredge, S. Brull, B. Dubroca and M. Frank, The M2 model for dose simulation in radiationtherapy, J. Comput. Theor. Transport, 45(3), Proc. 24th Int. Conf. on Transport Theory, 2016, pp 174-183, pdf
T. P., D. Aregba-Driollet, S. Brull, B. Dubroca and M. Frank, Relaxation schemes for the M1 model with space-dependent flux: Application to radiotherapy dose calculation, Proc. M&C+SNA+MC conf., 2015, pdf