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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. - 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

Articles dans des revues avec comité de lecture

  1. 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
  2. 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
  3. 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
  4. 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
  5. 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
  6. 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).
  7. 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.
  8. 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.
  9. 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.
  10. 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.
  11. 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.
  12. S. Honoré, F. Hubert L'adhésion thérapeutique : un nouveau challenge pour les mathématiques, A3 Magazine - Rayonnement du CNRS, juillet 2016.
  13. 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.
  14. L. Halpern, F. Hubert A new nite volume Schwarz algorithm for advection-diusion equations, SIAM Journal of Numerical Analysis, 52(3), 2014.
  15. 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.
  16. 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.
  17. 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.
  18. 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.
  19. 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.
  20. 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.
  21. 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.
  22. 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.
  23. F. Boyer, F. Hubert, J. Le Rousseau Uniform null-controllability for space/time-discretized parabolic equations, Nümerische Math. 118(4), 601-660, 2011.
  24. C. Pocci, A. Moussa, G. Chapuisat, F. Hubert Numerical study of the stopping of aura during migraine, ESAIM : proceedings, 30, 44-52, 2010.
  25. 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.
  26. 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.
  27. F. Hubert, M.-C. Viallon Algorithm to refine a finite volume mesh admissible for parabolic problems, CRAS Mécanique, 337, 95-100, 2009.
  28. 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.
  29. 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.
  30. P. Angot, F. Boyer, F. Hubert Asymptotic and numerical modelling of flows in fractured porous media, M2AN, 23, 239-275, 2009.
  31. 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.
  32. 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.
  33. 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.
  34. 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.
  35. 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.
  36. B. Andreianov, F. Boyer, F. Hubert Finite volume schemes for the p-laplacian, on cartesian meshes, M2AN, Vol. 38,6, pp. 931-960, 2004.
  37. 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.
  38. 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.
  39. 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.
  40. F. Hubert Viscous perturbations of isometric solutions of the Keytz-Kranzer system, Applied Mathematics Letters, Vol. 10, No 1, pp 51-55, 1997.
  41. 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.
  42. 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

  1. 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.
  2. 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.
  3. 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.
  4. 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.
  5. 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.
  6. 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.
  7. 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.
  8. L. Halpern, F. Hubert A new finite volume Schwarz algorithm for advection-diffusion equations, 21st International Conference on Domain Decomposition, Rennes, Juin 2012.
  9. M. Gander, F. Hubert, S. Krell Optimized Schwarz algorithms in the framework of DDFV schemes, 21st International Conference on Domain Decomposition, Rennes, Juin 2012.
  10. 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.
  11. Y. Coudière, F. Hubert, G. Manzini A CeVeFE DDFV scheme for discontinuous anisotropic permeability tensors, FVCA6, Prague, Juin 2011.
  12. Y. Coudière, F. Hubert, G. Manzini Benchmark 3D : CeVeFE-DDFV, a discrete duality scheme with cell/vertex/face+edge unknown, FVCA6, Prague, Juin 2011.
  13. 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.
  14. Y. Coudière, F. Hubert A 3D Discrete Duality Finite Volume Method for Nonlinear Elliptic Equations, ALGORITMY, Podanske, Slovaquie, pp. 51-60, Mars 2009.
  15. 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.
  16. 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.
  17. 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.
  18. 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.
  19. 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.
  20. F. Boyer, F. Hubert Finite volume method for nonlinear transmission problems, Proceedings of 17th International Conference on Domain Decomposition Methods, Jul 2006, Strobl, Austria
  21. 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 .