Thèse
"Mathematical modelling for dose deposition in photontherapy" (Présentation de la soutenance)
Travaux en cours
  • A. Alvarez-Laguna, T. P. Moment methods for the 3D radiative transfer equation based on phi-divergences computer methods, in progress.
  • A. Loison, T. P., S. Kokh, M. Massot, A two-scale two-phase flow model with capillarity and mass transfer between scales, in progress.
  • K. Ait-Ameur, S. Kokh, M. Massot, T.P., On limitation techniques for dicontinuous Galerkin applied to moment equation for polydisperse flows, under review, 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, under review, link.
  • K. Ait-Ameur, A. Loison, T. P., M. Massot, Simulation of polydisperse oscillating droplets with kinetic schemes for geometric moment equations, under review.
  • 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
  • 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 system 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
  • T. P., Some recent advances on the method of moments in kinetic theory, accepted as Proc. SMAI 2021, link.
  • L. Reboul, T. P., M. Massot, A simple second-order Implicit-Explicit asymptotic preserving scheme for the Hyperbolic Heat equations, accepted as Proc. RGD32, 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, Proc. HYP conf. 2018, AIMS on Appl. Math., 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, Proc. HYP conf. 2016, Springer, pp. 465-477, pdf
  • T. P., G. W. Alldredge, S. Brull, B. Dubroca and M. Frank, The M2 model for dose simulation in radiationtherapy, Proc. 24th Int. Conf. on Transport Theory, J. Comput. Theor. Transport, 45(3), 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