Publications

Preprints

  1. Localised Wannier functions in metallic systems
    H. Cornean, D. Gontier, A. Levitt, D. Monaco
    submitted. (arxiv).
  2. Numerical reconstruction of the first band(s) in an inverse {H}ill's problem
    A. Bakhta, V. Ehrlacher, D. Gontier
    submitted. (arxiv).
  3. Minnaert resonances for acoustic waves in bubbly media
    H. Ammari, B. Fitzpatrick, D. Gontier, H. Lee, H. Zhang
    submitted. (arxiv).

Articles

  1. Sub-wavelength focusing of acoustic waves in bubbly media.
    H. Ammari, B. Fitzpatrick, D. Gontier, H. Lee, H. Zhang
    Proc. R. Soc. A 473 (2017), 20170469. (journal, arxiv).
    @article {Ammari20170469, author = {Ammari, H. and Fitzpatrick, B. and Gontier, D. and Lee, H. and Zhang, H.}, title = {Sub-wavelength focusing of acoustic waves in bubbly media}, volume = {473}, number = {2208}, year = {2017}, journal = {Proc. R. Soc. A} }
  2. A mathematical and numerical framework for bubble meta-screens.
    H. Ammari, B. Fitzpatrick, D. Gontier, H. Lee, H. Zhang
    SIAM J. Appl. Math., 77 (2017), 1827–1850. (journal, arxiv).
    @article{Ammari2017mathematical, title={A mathematical and numerical framework for bubble meta-screens}, author={Ammari, H. and Fitzpatrick, B. and Gontier, D. and Lee, H. and Zhang, H.}, journal={SIAM J. App. Math.}, volume={77}, number={5}, pages={1827--1850}, year={2017}, }
  3. Supercell calculations in the reduced Hartree-Fock model for crystals with local defects.
    D. Gontier, S. Lahbabi
    Appl. Math. Res. Express, (2016) 1-64. (journal, arxiv).
    @article{Gontier2016supercell, title={Supercell calculations in the reduced {H}artree-{F}ock model for crystals with local defects}, author={Gontier, D. and Lahbabi, S.}, journal={Appl. Math. Res. Express}, year={2016}, }
  4. A mathematical analysis of the GW0 method for computing electronic excited energies of molecules.
    É. Cancès, D. Gontier, G. Stoltz
    Rev. Math. Phys. 28, 1650008 (2016). (journal, arxiv).
    @article{Cances2016mathematical, title={A mathematical analysis of the {GW}$^0$ method for computing electronic excited energies of molecules}, author={Cancès, É. and Gontier, D. and Stoltz, G.}, journal={Rev. Math. Phys.}, volume={28}, number={04}, pages={1650008}, year={2016}, }
  5. Convergence rates of supercell calculations in the reduced Hartree-Fock model.
    D. Gontier, S. Lahbabi
    M2AN, 50,5 (2016) 1403-1424. (journal, arxiv).
    @article{Gontier2016convergence, title={Convergence rates of supercell calculations in the reduced Hartree- Fock model}, author={Gontier, D. and Lahbabi, S.}, journal={ESAIM: Math. Model. Num. Anal.}, volume={50}, number={5}, pages={1403--1424}, year={2016}, }
  6. Pure-state N-representability in current-spin-density functional theory.
    D. Gontier
    Commun. Math. Sci., 24,4 (2016) 987–1003. (journal, arxiv).
    @article{Gontier2016pure, title={Pure-state $N$-representability in current-spin-density functional theory}, author={Gontier, D.}, journal={Commun. Math. Sci.}, volume={24}, number={4}, pages={987–1003}, year={2016}, }
  7. Existence of minimizers for Kohn-Sham within the Local Spin Density Approximation.
    D. Gontier
    Nonlinearity 28 (2015) 57-76. (journal, arxiv).
    @article{Gontier2014existence, title={Existence of minimizers for {K}ohn--{S}ham within the local spin density approximation}, author={Gontier, D.}, journal={Nonlinearity}, volume={28}, number={1}, pages={57}, year={2014}, }
  8. Sampling based on timing: Time encoding machines on shift-invariant subspaces.
    D. Gontier, M. Vetterli
    ACHA 36,1 (2014) 63-78. (journal, arxiv).
    @article{Gontier2014sampling, title={Sampling based on timing: {T}ime encoding machines on shift-invariant subspaces}, author={Gontier, D. and Vetterli, M.}, journal={Appl. Comput. Harmon. Anal.}, volume={36}, number={1}, pages={63--78}, year={2014}, }
  9. N-representability in non-collinear spin-polarized density functional theory.
    D. Gontier
    Phys. Rev. Lett. 111, 153001 (2013). (journal, arxiv).
    @article{Gontier2013representability, title={$N$-representability in noncollinear spin-polarized density-functional theory}, author={Gontier, D.}, journal={Phys. Rev. Lett.}, volume={111}, number={15}, pages={153001}, year={2013}, }
  10. Stabilization of rigid bodies with frictional supports against dynamic perturbations.
    P. L. Várkonyi, D. Gontier, J. W. Burdick
    2012 IEEE International Conference on Robotics and Automation. (journal).
    @inproceedings{Varkonyi2012, author={Várkonyi, P.L. and Gontier, D. and Burdick, J.W.}, booktitle={2012 IEEE International Conference on Robotics and Automation}, title={On the Lyapunov stability of quasistatic planar biped robots}, year={2012}, volume={}, number={}, pages={63-70}, doi={10.1109/ICRA.2012.6225139}, }

Autres

  1. Contributions mathématiques aux calculs de structures électroniques
    Thèse. (pdf, présentation).



Présentations orales

Conférences

  1. Supercell method for the computation of energies of crystals
    2016-17 Warwick EPSRC Symposium: DFT and Beyond: Analysis and Computation. (Warwick, July 2017). (pdf)
  2. A mathematical study of the GW0 method for computing electronic excited states of molecules
    GDR DynQua. (Grenoble, February 2015). (pdf)
  3. A mathematical study of the GW0 method for computing electronic excited states of molecules
    Mathematical Methods in Quantum Molecular Dynamics. (Oberwolfach, June 2015). (pdf)
  4. Pure-state N-representability in current-spin-density-functional theory
    Fundamental Aspects of DFT. (Oslo, January 2015). (pdf)
  5. A mathematical study of the GW method: the irreducible polarizability
    Solid Math. (Trieste, June 2014). (pdf)
  6. A mathematical study of the GW method
    Theoretical and Numerical Aspects of Quantum Transport. (Aalborg, April 2014). (pdf)
  7. Existence of minimizers for Kohn-Sham within the Local Spin Density Approximation
    Mathematical and Numerical Analysis of Electronic Structure Models. (Berlin, April 2014). (pdf)
  8. N-representability in SDFT
    GDR-CoDFT. (Guidel, May 2013). (pdf)

Séminaires

  1. Minnaert resonance in bubbly media
    Séminaire Pierre-Louis Lions. (Collège de France, June 2017). (pdf, video)
  2. Supercell method for the computation of energies of crystals
    Young Researchers Workshop on Mathematical Models in Quantum Chemistry. (Paris 6, January 2017). (pdf)
  3. Méthode de supercellule pour la simulation de cristaux sans/avec défauts
    Séminaire CMAP. (École Polytechnique, April 2016). (pdf)
  4. Supercell calculations for the simulation of crystals with/without defects
    Séminaire POEMS. (INRIA Saclay, February 2016).
  5. The supercell model for the simulation of crystals, with and without defects
    Séminaire équations non linéaire. (Paris 13, November 2015).
  6. An introduction to quantum chemistry: the Hartree-Fock model
    PhD seminar of Marne-la-Vallée. (ESIEE, June 2014). (pdf)
  7. Complexity of a Sudoku
    PhD seminar of CERMICS/CEREA/IMAGINE. (CERMICS, March 2014). (pdf)
  8. Representability in non-collinear spin-polarized density functional theory
    Mathematical and Numerical Analysis of Electronic Structure Models. (IHP, July 2013). (pdf)
  9. Magnetic Schrödinger operators and magnetic density functional theory
    PhD seminar of CERMICS. (CERMICS, April 2013). (pdf)