Version française

Welcome !

Welcome on Hélène Hivert's webpage ! I am an associate professor in Ecole Centrale de Lyon, and my research is led in the team MMCS of the Institut Camille Jordan (Lyon, France).

I work on numerical analysis for PDEs arising in physics and biology. In particular, I am interested in multi-scale schemes for kinetic equations and population models.

Submitted works

• V. Calvez, H. Hivert, H. Yoldas, Concentration in Lotka-Volterra parabolic equations: an asymptotic-preserving scheme, hal-03635830, 2022.

• N. Ayi, M. Herda, H. Hivert, I. Tristani, On a structure-preserving numerical method for fractional Fokker-Planck equations, hal-03305165, 2021.

Accepted or published works

• N. Ayi, M. Herda, H. Hivert, I. Tristani, A note on hypocoercivity for kinetic equations with heavy-tailed equilibrium, C. R. Math. Acad. Sci. Paris, 358.3:333-340, 2020.

• V. Calvez, S. Figuero Iglesias, H. Hivert, S. Méléard, A. Melnykova, S. Nordmann, Horizontal gene transfer: numerical comparison between stochastic and deterministic approaches, ESAIM, Proc. Surv., 67:135-160, 2020.

• B. Fabrèges, H. Hivert, K. Le Balc'h, S. Martel, F. Delarue, F. Lagoutière, N. Vauchelet, Numerical schemes for the aggregation equation with pointy potentials, ESAIM, Proc. Surv., 65:384-400, 2019.

• H. Hivert, A first-order asymptotic preserving scheme for front propagation in a kinetic reaction-transport equation, J. Comput. Phys., 367:253-278, 2018.

• H. Hivert, Numerical schemes for kinetic equation with diffusion limit and anomalous time scale, Kinet. Relat. Models, 11(2):409-439, 2018. DOI: 10.3934/krm.2018019.

• A. Bondesan, S. Dellacherie, H. Hivert, J. Jung, V. Lleras, C. Mietka, Y. Penel, Study of a depressurisation process at low Mach number in a nuclear reactor core In: ESAIM ProcS 55 (2016), p. 41-60. (Proceeding CEMRACS 2015). DOI: https://doi.org/10.1051/proc/201655041 (free access).

• N. Crouseilles, H. Hivert, M. Lemou, Numerical schemes for kinetic equations in the anomalous diffusion limit. Part II : degenerate collision frequency, SIAM, J. Sc. Comput., 38(4): A2464-A2491, 2016. DOI: 10.1137/15M1053190 .

• N. Crouseilles, H. Hivert, M. Lemou, Numerical schemes for kinetic equation in the diffusion and anomalous diffusion limits. Part I : the case of heavy-tailed equilibrium, SIAM, J. Sc. Comput., 38(2): A737-A764, 2016. DOI: 10.1137/15M1011366 .

• N. Crouseilles, H. Hivert, M. Lemou, Multiscale numerical schemes for kinetic equations in the anomalous diffusion limit, C. R. Math. Acad. Sci. Paris, Elsevier Masson, 2015, 353(8), pp. 755-760. DOI : 10.1016/j.crma.2015.05.003 .

PhD

• Étude mathématique et numérique de quelques modèles cinétiques et de leurs asymptotiques : limites de diffusion et de diffusion anormale, tel-01393275, 2016. The introduction is in french, the chapters in english.

French agregation of mathematics

During the year I spent preparing the french agregation of mathematics, I wrote a document (in french) with all the lessons I worked on. To help the future candidates to prepare this competitive exam, I decided to give full acces to it. It is now widely used.

Contact : Ecole Centrale de Lyon - Département MI
                 Bâtiment E6 - Bureau 6225
                 36, avenue Guy de Collongue
                 69 134 Ecully CEDEX - France

                 helene [dot] hivert [at] ec-lyon [dot] fr