==== Publications ==== === Livres === - **F. Hubert**, J. Hubbard //CALCUL SCIENTIFIQUE - De la théorie à la pratique - Illustrations avec Maple et Matlab. Volume 1 : Equations algébriques, traitement du signal, géométrie effective//, Vuibert, 2006. 432 pages. {{ :fr:book1.jpeg?100 |}} - **F. Hubert**, J. Hubbard //CALCUL SCIENTIFIQUE - De la théorie à la pratique - Illustrations avec Maple et Matlab. Volume 2 : Equations différentielles ordinaires, équations aux dérivées partielles//, Vuibert, 2006. 288 pages {{ :fr:book2.jpeg?100 |}} ---- === Articles dans des revues avec comité de lecture === - C. Tayou Fosto, S. Girel, F. Anjuère, V. Braud, **F. Hubert**, T. Goudon //A mixture-like model for tumor-immune system interactions. // Journal of Theoretical Biology, Volume 581, 2024. https://doi.org/10.1016/j.jtbi.2024.111738 - S. Chauvet, **F. Hubert**, F. Mann, M. Mezache //Tumorigenesis and axons regulation for the pancreatic cancer: A mathematical approach // Journal of Theoretical Biology, Volume 556, 2023. https://doi.org/10.1016/j.jtbi.2022.11130 - M. Gander, L. Halpern, **F. Hubert**, S. Krell //Discrete Optimization of Robin Transmission Conditions for Anisotropic Diffusion with Discrete Duality Finite Volume Methods // Vietnam J. Math. 2021. https://doi.org/10.1007/s10013-021-00518-3 - M. Gander, L. Halpern, **F. Hubert**, S. Krell //Optimized Schwarz methods with general Ventcell transmission conditions for fully anisotropic diffusion with discrete duality finite volume discretizations // Moroccan Journal of Pure and Applied Analysis, 7(2), p. 182-213, 2021. Published online https://content.sciendo.com/view/journals/mjpaa/mjpaa-overview.xml?language=en&tab_body=latestIssueToc-79907 - E. Denicolai, S. Honoré, **F. Hubert**, R. Tesson //Microtubules (MT) a key target in oncology : Mathematical modeling of anti-MT agents on cell migration//. Mathematical Modelling of Natural Phenomena, Cancer modelling, 15, 2020. Published online https://www.mmnp-journal.org/articles/mmnp/abs/2020/01/mmnp190010/mmnp190010.html - S. Honoré, **F. Hubert**, M. Tournus, D. White //A growth-fragmentation approach for modeling microtubule dynamic instability//, Bulletin of Mathematical Biology, 81 p. 722–758 (2019). - A. Barlukova, D. White, G. Henry, S. Honoré, **F. Hubert** //Mathematical modeling of microtubule dynamic instability: new insight into the link between GTP-hydrolysis and microtubule aging//, M2AN, 52, p. 2433–2456, 2018. - A. Barlukova, S. Honoré, **F. Hubert** //Mathematical Modeling of Effect Of Microtubule-Targeted Agents On Microtubule Dynamic Instability//, ESAIM Proc, 62, p. 1-16, 2018. - D. White , S. Honoré, **F. Hubert** //A new mathematical model for microtubule dynamic instability: exploring the effect of end-binding proteins and microtubule targeting chemotherapy drugs//, Journal Theoritical Biology, 429, p. 18-34, 2017. - N. Hartung, C. Huynh, C. Gaudy-Marqueste, A. Flavian, N. Malissen, MA Richard-Lallemand, **F. Hubert**, JJ Grob //Study of metastatic kinetics in metastatic melanoma treated with B-RAF inhibitors: Introducing mathematical modelling of kinetics into the therapeutic decision//, PLOS One, 12(5) 2017. - **F. Hubert**, M. Jedouaa, I. Khames, J. Olivier, O. Theodoly, A. Trescases // Cell Motility in confinement : a computaional model for the shape of the cell//, ESAIM Proc. And Survey, 55, p. 148-166, déc 2016. - S. Honoré, **F. Hubert** // L'adhésion thérapeutique : un nouveau challenge pour les mathématiques,// A3 Magazine - Rayonnement du CNRS, juillet 2016. - N. Hartung, S. Mollard, D. Barbolosi, A. Benabdallah, G. Chapuisat, G. Henry,S. Giacometti, A. Iliadis, J.Ciccolini, C. Faivre, **F. Hubert** // Mathematical Modeling of tumor growth and metastatics spreading : validation in tumor-bearing mice,// Cancer Research 74, p. 6397-6407, 2014. - L. Halpern, **F. Hubert** // A new nite volume Schwarz algorithm for advection-diusion equations,// SIAM Journal of Numerical Analysis, 52(3), 2014. - D. Barbolosi, A. Benabdallah, S. Benzekry, J. Ciccolini, C. Faivre, **F. Hubert**, F. Verga et B. You // A mathematical model for growing metastases on oncologist's service,// Computational Surgery and dual training, p. 331-338, 2014. - B. Andreianov, M. Bendahname, **F. Hubert** //On 3D DDFV discretization of gradient and divergence operators. II. Discrete functional analysis tools and applications to degenerate parabolic problems,// Computational Methods in applied Mathematics, 13(4), p. 369-410, 2013. - N. André, D. Barbolosi, F. Billy, G. Chapuisat, E. Grenier, **F. Hubert**, A. Rovini // Mathematical model of tumor growth controlled by metronomic chemotherapies,// ESAIM Proceedings, 41, p. 77-94, 2013. - S. Benzekry, G. Chapuisat, J. Ciccolini , A. Erlinger, **F. Hubert** // A new mathematical model for optimizing the combination between antiangiogenic and cytotoxic drugs in oncology,// CRAS, 350, p. 23-28, 2012. - S. Benzekry, N. André, A. Benabdallah, J. Ciccolini, C. Faivre, **F. Hubert**, D. Barbolosi // Modelling the impact of anticancer agents on metastatic spreading,// Mathematical Modelling of Natural Phenomena, 7(1), 306-336, 2012. - B. Andreianov, M. Bendahname, **F. Hubert**, S. Krell // On 3D DDFV discretization of gradient and divergence operators. I. Meshing, operators and discrete duality.,// IMA JNA, 32(4), 1574­1603, 2012. - Y. Coudière, **F. Hubert** // A 3D Discrete Duality Finite Volume Method for Nonlinear Elliptic Equations,// SIAM Journal of Scientic Computing, 33(4), 1739-1764, 2011. - F. Verga, B. You, A. Benabdallah, C. Faivre, C. Mercier, C. Ciccolini, **F. Hubert**, D. Barbolosi //Modélisation du risque d'evolution metastatique chez les patients supposés avoir une maladie localisée, //Oncologie, 13(8), 528-533, 2011. - F. Boyer, **F. Hubert**, J. Le Rousseau //Uniform null-controllability for space/time-discretized parabolic equations,// Nümerische Math. 118(4), 601-660, 2011. - C. Pocci, A. Moussa, G. Chapuisat, **F. Hubert** //Numerical study of the stopping of aura during migraine,// ESAIM : proceedings, 30, 44-52, 2010. - F. Boyer, **F. Hubert**, J. Le Rousseau // Discrete Carleman estimates for elliptic operators in arbitrary dimension and applications,// SIAM J. on Control and Optimization, 48(8), 5357-5397, 2010. - F. Boyer, **F. Hubert**, J. Le Rousseau //Discrete Carleman estimates for elliptic operators and uniform controllability of semi-discretized parabolic equations, //Journal de Mathematiques Pures et Appliquees, 93(3), 240-273, 2010. - **F. Hubert**, M.-C. Viallon //Algorithm to refine a finite volume mesh admissible for parabolic problems,// CRAS Mécanique, 337, 95-100, 2009. - F. Boyer, **F. Hubert**, S. Krell //A Schwarz algorithm for the Discrete Duality Finite Volume (DDFV) scheme,// IMA Jour. Num. Anal., 30, 1062-1100, 2009. - D. Barbolosi, A. Benabdallah, **F. Hubert**, F. Verga //Mathematical and numerical analysis for a model of growing metastatic tumors,// Mathematical Biosciences, 218(1), 1-14, 2009. - P. Angot, F. Boyer, **F. Hubert** //Asymptotic and numerical modelling of flows in fractured porous media,// M2AN, 23, 239-275, 2009. - F. Boyer, **F. Hubert** //Finite volume method for 2D linear and nonlinear elliptic problems with discontinuities,// SIAM Journal of Numerical Analysis, Vol. 46, No 6, pp 3032-3070, 2008. - B. Andreianov, F. Boyer, **F. Hubert** //Discrete duality finite volume schemes for Leray-Lions type problems on general 2D meshes,// Numerical Methods for PDE, Vol. 23, 1, pp 145-195, 2007. - B. Andreianov, F. Boyer, **F. Hubert** //Discrete Besov framework for finite volume approximation of the p-laplacian on non uniform cartesian grids,// ESAIM Proceedings, Vol. 18, pp 1-10, 2007. - B. Andreianov, F. Boyer, **F. Hubert** //On finite volume approximation of regular solutions of the p-laplacian,// IMA Journal Numerical Analysis, Vol. 26, 3, pp. 472-502, 2006. - B. Andreianov, F. Boyer, **F. Hubert** //Besov regularity and new error estimates for nite volume approximations of the p-laplacian,// Num. Math, Vol. 100, 4, pp. 565-592, 2005. - B. Andreianov, F. Boyer, **F. Hubert** //Finite volume schemes for the p-laplacian, on cartesian meshes,// M2AN, Vol. 38,6, pp. 931-960, 2004. - R. Cautrès, R. Herbin, **F. Hubert** //The Lions domain decomposition algorithm on non matching cell-centered nite volume meshes,// IMA Journal Numerical Analysis, Vol. 24, pp. 465-490, 2004. - T. Gallouët, **F. Hubert** //On the convergence of the parabolic approximation of a conservation law in several space dimensions, //Chinese Annals of Mathematics, Vol. 20B, No 1, pp 7-10, 1999. - **F. Hubert** //Global existence for hyperbolic-parabolic systems with large periodic initial data,// Differential and Integral Equations, Vol. 11, No 1, pp 69-83, 1998. - **F. Hubert** //Viscous perturbations of isometric solutions of the Keytz-Kranzer system,// Applied Mathematics Letters, Vol. 10, No 1, pp 51-55, 1997. - **F. Hubert**, D. Serre //Dynamique lente-rapide pour des perturbations de systemes de lois de conservation,// Comptes Rendus de l'Academie des Sciences. Vol. 322, Serie I, pp 231-236, 1996. - **F. Hubert**, D. Serre //Fast-slow dynamics for parabolic perturbations of conservation laws, //Communications in Partial Differential Equations, Vol 21, No 9-10, pp 1587-1608, 1996. ---- === Articles dans des actes de conférences === - M. Gander, L. Halpern, **F. Hubert**, S. Krell // Optimized Robin Transmission Conditions for Anisotropic Diffusion on Arbitrary Meshes , // In: 27st International Conference on Domain Decomposition, Prague, July 2022. - M. Gander, L. Halpern, **F. Hubert**, S. Krell // Overlapping DDFV Schwarz algorithms on non-matching grids , // In: 22st International Conference on Domain Decomposition, Hong Kong, China, Décembre 2020. - M. Gander, L. Halpern, **F. Hubert**, S. Krell // Optimized Schwarz Methods for Anisotropic Diffusion with Discrete Duality Finite Volume Discretizations, // In: Klöfkorn R., Keilegavlen E., Radu F., Fuhrmann J. (eds) Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples. FVCA 2020. Springer Proceedings in Mathematics & Statistics, vol 323. Springer, Cham. https://doi.org/10.1007/978-3-030-43651-3_33. - **F. Hubert**, R. Tesson // Weno scheme for transport equation on unstructured grids with a DDFV approach,// Finite Volumes for Complex Applications 8, Jun 2017, Lille, France. pp.13-21, https://doi.org/10.1007/978-3-319-57394-6_2. - A. Barlukova, S. Honoré, **F. Hubert** //Mathematical modeling of the microtubule dynamic instability: a new approch of GTP-tubulin hydrolysis,// ITM Web of Conferences 5, 00011 (2015), https://doi.org/10.1051/itmconf/20150500011. - N. Hartung, **F. Hubert** //An efficient implementation of a 3D CeVeFE DDFV scheme on cartesian meshes and an application in image processing,// FVCA7, Berlin, Juin 2014, https://doi.org/10.1007/978-3-319-05591-6_63. - hal-01090883v1 Communication dans un congrès Séverine Mollard, Sébastien Benzekry, Giacometti Sarah, Christian Faivre, **Florence Hubert** et al. //Model-based optimization of combined antiangiogenic + cytotoxics modalities: application to the bevacizumab-paclitaxel association in breast cancer models,// AACR Annual Meeting 2014, Apr 2014, San Diego, United States. https://doi.org/10.1158/1538-7445.AM2014-3677. - M. Gander, L. Halpern, **F. Hubert**, S. Krell //DDFV Schwarz Ventcell algorithms ,// 22st International Conference on Domain Decomposition, Lugano, Switzerland, Septembre 2013, https://doi.org/10.1007/978-3-319-18827-0. - L. Halpern, **F. Hubert** //A new finite volume Schwarz algorithm for advection-diffusion equations, //21st International Conference on Domain Decomposition, Rennes, Juin 2012. - M. Gander, **F. Hubert**, S. Krell //Optimized Schwarz algorithms in the framework of DDFV schemes,// 21st International Conference on Domain Decomposition, Rennes, Juin 2012. - R. Eymard, G. Henry, R. Herbin, **F. Hubert**, R. Klöfkorn, G. Manzini //3D Benchmark on Discretization Schemes for Anisotropic Diffusion Problems on General Grids,// FVCA6, Prague, Juin 2011. - Y. Coudière, **F. Hubert**, G. Manzini //A CeVeFE DDFV scheme for discontinuous anisotropic permeability tensors,// FVCA6, Prague, Juin 2011. - Y. Coudière, **F. Hubert**, G. Manzini // Benchmark 3D : CeVeFE-DDFV, a discrete duality scheme with cell/vertex/face+edge unknown,// FVCA6, Prague, Juin 2011. - B. Andreianov, **F . Hubert**, S. Krell // Benchmark 3D : a version of the DDFV scheme with cell/vertex unknowns on general meshes,// FVCA6, Prague, Juin 2011. - Y. Coudière, **F. Hubert** //A 3D Discrete Duality Finite Volume Method for Nonlinear Elliptic Equations,// ALGORITMY, Podanske, Slovaquie, pp. 51-60, Mars 2009. - F. Boyer, **F. Hubert**, J. Le Rousseau // On the approximation of the null-controllability problem for parabolic equations,// ALGORITMY, Podanske, Slovaquie, pp. 101-110, Mars 2009. - R. Herbin, **F. Hubert** // Benchmark on discretization schemes for anisotropic diffusion problems on general grids,// Proceedings of the 5th international symposium on Finite Volumes for Complex Applications, Aussois, Juin 2008. - F. Boyer, **F. Hubert** //Benchmark for Anisotropic Problems.The DDFV "discrete duality finite volumes" and m-DDFV schemes,// Proceedings of the 5th international symposium on Finite Volumes for Complex Applications, Aussois, Juin 2008. - F. Boyer, **F. Hubert**, S. Krell //Non-overlapping Schwarz algorithm for DDFV schemes on general 2D meshes,// Proceedings of the 5th international symposium on Finite Volumes for Complex Applications, Aussois, Juin 2008. - F. Boyer, **F. Hubert** // The m-DDFV Method for Heterogeneous Linear and Nonlinear Elliptic Problems,// Proceedings of the 5th international symposium on Finite Volumes for Complex Applications, Aussois, Juin 2008. - F. Boyer, **F. Hubert** // Finite volume method for nonlinear transmission problems,// Proceedings of 17th International Conference on Domain Decomposition Methods, Jul 2006, Strobl, Austria - B. Andreianov, F. Boyer, **F. Hubert** // Discrete Besov framework for finite volume approximation of the p-Laplacian on non-uniform Cartesian grids,// Paris-sud working group on modelling and scientific computing 2006-2007, 2006, Orsay, France. pp.1-10 .