Clémentine Courtès

Assistant professor in mathematics

Research

Research interests :

Key words : Partial differential equations, numerical analysis, scientific computing, machine learning

Analysis of numerical schemes: [A2, A1, P2]

  • Finite difference numerical schemes, rate of convergence, error estimates
  • Applications in hydrodynamics: dispersive equations, (Airy's, Korteweg-de Vries', Benjamin-Bona-Mahony's equations), hyperbolic-dispersive systems ("abcd" system of Boussinesq)
Conception of numerical schemes: [A3, P3, P1]
  • High order methods for non linear hyperbolic PDEs, kinetic BGK schemes, Lattice-Boltzmann methods, preconditioner
  • Applications in fluid mechanics: shallow-water equations, multilayer shallow water model, Euler equations at low Mach number
Study and analysis of some localised solutions: [T1]
  • Travelling waves, solitons,
  • Applications in hydrodynamics and magnetism: Korteweg-de Vries-Kuramoto-Sivashinsky's equation, Landau-Lifshitz-Gilbert's equation
Design of reduced models by machine learning : [A4]
  • Neural networks, deep learning, reinforcement learning, optimal control
  • Applications in epidemiology: SIR model, individual-based models on graph
Optimal control problem in minimal time : [A5]
  • Optimal control, adjoint state, optimality conditions
  • Applications in ferromagnetism : Landau-Lifshitz-Gilbert's equation
Micromagnetism modeling : [A6]
  • Curie temperature, ferromagnetic nanowires and nanolayers
  • Applications in ferromagnetism : Landau-Lifshitz-Gilbert's equation

Publications :

Articles:

  • [A6] Micromagnetic simulations of the size dependence of the Curie temperature in ferromagnetic nanowires and nanolayers,
    C.Courtès, M.Boileau, R.Côte, P.-A.Hervieux and G.Manfredi
    submitted, 2023. [HAL] [arXiv]

  • [A5] Minimal time of magnetization switching in small ferromagnetic ellipsoidal samples,
    R.Côte, C.Courtès, G.Ferriere and Y.Privat.
    submitted, 2023. [HAL] [arXiv]

  • [A4] Reduced modelling and optimal control of epidemiological individual-based models with contact heterogeneity,
    C.Courtès, E.Franck, K.Lutz, L.Navoret and Y.Privat.
    Optim. Control Appl. Meth., Vol. 45, Issue 2, 2024, p. 459-493. [paper] [HAL] [arXiv]

  • [A3] Vectorial kinetic relaxation model with central velocity. Application to implicit relaxation schemes,
    D.Coulette, C.Courtès, E.Franck and L.Navoret.
    Communications in Computational Physics. Vol. 27, Issue 4, 2020, p. 976-1013. [paper] [HAL]

  • [A2] Error estimates of finite difference schemes for the Korteweg-de Vries equation,
    C.Courtès, F.Lagoutière and F.Rousset.
    IMA Journal of Numerical Analysis. Vol. 40, Issue 1, 2020, p. 628–685. [paper] [HAL] [arXiv]

  • [A1] Energy estimates for some numerical schemes on the abcd system,
    C.Burtea and C.Courtès.
    Communications in Mathematical Sciences. Vol. 17, Issue 1, 2019, p. 243-298. [paper] [HAL] [arXiv]

Peer-reviewed conference proceedings:
  • [P3] Linear stability of a vectorial kinetic relaxation scheme with a central velocity,
    C.Courtès and E.Franck.
    Hyperbolic Problems : Theory, Numerics and Application, AIMS on Applied Mathematics, Vol. 10, 2020, p. 400-407. [paper] [HAL]

  • [P2] Convergence for PDEs with an arbitrary odd order spatial derivative term,
    C.Courtès.
    Theory, Numerics and Applications of Hyperbolic Problems I, Springer Proceedings in Mathematics and Statistics, Vol. 236, 2018, p. 413-425. [paper] [HAL] [arXiv]

  • [P1] Study of physic-based preconditioning with high order Galerkin method discretization for hyperbolic wave problems,
    C.Courtès, E.Franck, P.Helluy and H.Oberlin.
    Esaim : Proceedings and surveys, Vol. 55, 2016, p. 61-82. [paper] [HAL]

Research report :
  • [R1] Compressed sensing pour l'imagerie radar,
    C.Courtès, G.Dusson, R.Hatchi, R.Molina and A.Thomas.
    Semaine d'Etude Maths Entreprises, Paris, 2015. [HAL]

Ph.D. :

  • [T1] Numerical analysis of hyperbolic-dispersive systems, [TEL] defended on the 11/23/2017 at Paris Sud University. The Ph.D examining committee was composed of
    • Ph.D supervisors : Frédéric Lagoutière and Frédéric Rousset
    • Referees (external examiners) : Claire Chainais-Hillairet and Pascal Noble
    • Jury president : Raphaèle Herbin
    • Examiner : Bertrand Maury

Talks and posters :

In 2024 :

  • Seminar "Rencontres INRIA-LJLL en calcul scientifique", (future) May 2024, Paris
  • Optimization and nonlinear analysis seminar, (future) April 2024, LMA, University of Avignon
  • Numerical analysis and PDEs seminar, February 2024, University of Lille
  • INRIA seminar (POEMS team), February 2024, INRIA, ENSTA, Paris
  • Talk in the TONUS/MACARON days, February 2024, INRIA, Belmont (Bas-Rhin)

In 2023 :

  • Talk for the Lebesgue Ph.D. Meeting (mentor for the 2023 edition), April 2023, University of Nantes
  • Working group on Machine Learning, March 2023, University of Strasbourg
  • Mini-course at the MasterClass of PDE's , January 2023, University of Lorraine, Nancy, lecture notes

In 2022 :

  • Scientific talk for the HCERES visit, October 2022, University of Strasbourg
  • Talk at the workshop of ANR MOSICOF, July 2022, Sorbonne University
  • Reims Mathematics Laboratory seminar, June 2022, University of Reims
  • PDEs days of Élie Cartan's Institut, March 2022, University of Lorraine
  • Analysis seminar, March 2022, University of Strasbourg
  • PDE, Modelling and Scientific computing seminar of Lyon-Saint Etienne, March 2022, Institut Camille Jordan (Lyon)

In 2021 :

  • Working group on Machine Learning (online), December 2021, University of Strasbourg
  • Working group on Machine Learning (online), November 2021, University of Strasbourg
  • Working group on Machine Learning (online), May 2021, University of Strasbourg
  • Working group on Machine Learning (online), March 2021, University of Strasbourg
  • PDEs and numerical analysis seminar (online), January 2021, University of Nice

In 2020 :

  • PDE and Applications seminar (online), December 2020, University of Poitiers
  • Mini-course, EDP seminar (online), November 2020, University of Strasbourg
  • PDEs and numerical analysis seminar, June 2020, University of Nice 1
  • PDE, Modelling and Scientific computing seminar of Lyon-Saint Etienne, May 2020, Institut Camille Jordan (Lyon) 1
  • PDEs days of Élie Cartan's Institut, March 2020, University of Lorraine 1
  • 32nd Seminar on Computational Fluid Dynamics, February 2020, CEA-SMAI/GAMNI (IHP, Paris)
  • 11th Itinerant Workshop in PDEs, January 2020, Bonn (Germany)

1. Seminars cancelled due to COVID-19 outbreak.

In 2019 :

  • Talk at the IRMA day, October 2019, University of Strasbourg
  • Poster session, Conference Numerical Methods for Multiscale Models arising in Physics and Biology, June 2019, University of Nantes
  • Conference Shark-FV 2019, May 2019, Povoa de Varzim (Portugal)
  • Poster session, Journées Jeunes EDPistes, March 2019, INSA of Rennes
  • Numerical Analysis and Scientific Computing seminar, February 2019, University of Besançon

In 2018 :
  • Talk at the "Mathematics for the Industry and Physics" day, December 2018, Toulouse Mathematics Institute
  • Scientific computing and Modeling seminar, December 2018, University of Bordeaux
  • Talk at the new entrants day, October 2018, INSA of Toulouse
  • Poster session, Conference HYP, June 2018, University Park, Pennsylvania (USA) poster
  • Conference HYP, (contributed talk), June 2018, University Park, Pennsylvania (USA)
  • CANUM, (minisymposium), May 2018, Cap d'Agde (Hérault)
  • Journées Jeunes EDPistes, March 2018, University of Lorraine, Nancy
  • INRIA seminar (ANGE team), March 2018, INRIA Paris
  • PDEs and numerical analysis seminar, March 2018, University of Nice
  • Applied mathematics seminar, February 2018, University of Nantes

In 2017 :

  • Lebesgue Ph.D. Meeting, October 2017, University of Rennes
  • Talk at the "numerical analysis and PDEs" day, October 2017, University Paris Sud (Orsay)
  • Talk in the summer school Dispersive hydrodynamics and oceanography: from experiments to theory, August 2017, Les Houches
  • Congress SMAI, June 2017, La Tremblade (Charente-Maritime)
  • Numerical analysis and PDEs seminar, March 2017, Laboratory Paul Painlevé (Lille)
  • Poster session, Journées Jeunes EDPistes, March 2017, Autrans (Isère)
  • Ph.D.'s seminar, March 2017, Laboratory of Mathematics Jean Leray (Nantes)
  • Ph.D.'s seminar "jeunes chercheurs", February 2017, University of Lorraine

In 2016 :

  • Ph.D. students and young doctors' working group, October 2016, University Paris Descartes
  • Ph.D.'s seminar, October 2016, University Paris Est (Créteil)
  • Poster session, Conference HYP, August 2016, Aachen (Germany) poster
  • ECMI Conference, (minisymposium) June 2016, Santiago de Compostela (Spain)
  • CANUM, May 2016, Obernai (Alsace)
  • Numerical Analysis and PDEs seminar, March 2016, University Paris Sud (Orsay)

In 2015 :

  • Young researchers "Landau" seminar November 2015, University of Rennes 1
  • Young researchers seminar, November 2015, University of Reims
  • PDEs seminar, November 2015, University of Strasbourg
  • Talk at the internal meeting, ANR BoND, November 2015, University of Besançon
  • Ph.D.'s seminar, June 2015, University Paris Sud (Orsay)
  • Poster session, Congress SMAI, June 2015, Les Karellis (Savoie) poster

Schools and research projects :

  • Member of associated INRIA team PANDA : 2024-2026,
    • Research project : Study of systems of dispersive PDEs for the propagation of waves
    • Principal Investigator : A. de Laire (University of Lille)
  • Member of ANR project MOSICOF : 2021-2025,
    • Research project : Modeling and Simulation of Complex Ferromagnetic Systems
    • Principal Investigator : S. Labbé (Sorbonne University)
  • Member of ANR project MOSICOF : 2021-2025,
    • Research project : Modeling and Simulation of Complex Ferromagnetic Systems
    • Principal Investigator : S. Labbé (Sorbonne University)
  • Member of ANR DFG project MILK : 2021-2024,
    • Research project : Machine learning for reduced kinetic models
    • Principal Investigator : E. Franck (INRIA Nancy-Grand Est, University of Strasbourg)
  • Principal Investigator of project "PEPS Jeunes Chercheurs" : 2019, (approx. 3500 €)
    • Research project : Study of the magnetization reversal dynamics in nanowires : influence of temperature and external magnetic field
    • Associate collaborators : R.Côte, P.-A.Hervieux, R.Ignat, G.Manfredi
  • Member of project "PEPS Jeunes Chercheurs" : 2018, (approx. 4500 €)
    • Research project : Implicit relaxation schemes for hyperbolic and parabolic systems
    • Other members : E.Franck (Principal Investigator of the project), F.Drui
  • Summer school of the ANR BoND : August 2017, Les Houches
    • Dispersive hydrodynamics and oceanography: from experiments to theory
  • CEMRACS'15 : July-August 2015, CIRM, Marseille
    • Summer school : Coupling Multi-Physics Models involving Fluids
    • Research project : Physic-Based preconditioning for hyperbolic system and Discontinuous Galerkin discretization (joint work with E.Franck, H.Oberlin and P.Helluy)
  • SEME : (Semaine d'Etude Maths Entreprises), January 2015, Paris
    • Research project proposed by Airbus : Application du compress sensing hors du cadre classique du traitement d'images (joint work with G.Dusson, R.Hatchi, R.Molina and A.Thomas) slides , report.
  • Winter school of the ANR BoND : February 2014, Les Houches
    • Nonlinear dispersive waves : theory, numerics and applications

Unpublished works :

  • Master 2 thesis : report (in french)
  • Master 1 thesis (joint work with M.Inglard) : report, slides
  • Bachelor's thesis (joint work with C.Benoist and M.Inglard) : report, slides

Other conferences I have attended :