Publications

Research [report]

Refereed publications

(HS: numerical analysis for hyperbolic systems, QC: quantum chemistry, FV: complex applications of finite volumes, CS: computer science)

Papers

     [QC] Editor with A. Bandrauk (Sherbrooke), J. Moloney (U. Arizona)
              Book: Mathematical methods and models in laser filamentation
              To appear Springer, 2015

     [QC] In collaboration with X. Antoine (IECL, Nancy)
               Asymptotic estimates of the convergence rate of Schwarz waveform relaxation domain decomposition methods for the imaginary-time linear and nonlinear Schroedinger equations.
              Submitted, 2015

     [QC] In collaboration with F. Fillion-Gourdeau (INRS)
               Galerkin method for unsplit 3-D time dependent Dirac equation using atomically/kinetically balanced B-spline basis.
              Submitted, 2015

     [QC] In collaboration with A. Bandrauk (U. Sherbrooke / CRM)
               Nonperturbative nonlinear Schroedinger models for intense laser pulse propagation.
               To appear, 2015

     [QC] In collaboration with X. Yang (Univ. California SB)
               Geometric optics and Herman-Kluk formalism beyond the semi-classical regime for ABC
               Submitted, 2015

     [QC] In collaboration with X. Yang (Univ. California SB)
               A FGA-based two-level method for Schroedinger equation
               In preparation, 2015

[QC] Two-dimensional modeling, optimization and simulation of cancer radiotherapy by femtosecond laser filamentation.
In preparation, 2014

[QC] Development of non-perturbative nonlinear optics models.
J. Phys. A: Math. & Theo. Phys., (48) 2015

     [QC] In collaboration with X. Antoine (IECL, Nancy)
               Absorbing boundary conditions for relativistic quantum mechanics for particles subject to classical electromagnetic fields. A microlocal approach.
               J. of Comput. Phys. (277) 2014

     [QC] In collaboration with X. Antoine (IECL, Nancy)
              Domain decomposition methods and high order absorbing boundary conditions for TDSE.
              Accepted in J. of Sc. Comput. , 2014

     [QC] In collaboration with Bandrauk, Fillion
               Time Dependent Dirac Equation solver in 3-d Asymmetric Geometry .
               J. Comput. Phys. (272) 2014

     [QC] In collaboration with Bandrauk, Fillion
                Review article: Gauge invariance
               J. of Phys. B. , 46(15), 2013.

     [QC] In collaboration with A. Cournoyer (INO), P. Turbis (CRM)
               Stochastic optimization of the temporal shape for laser pulse ablation.
               Applied Math. Research eXpress, 2014(1), 2014.

     [QC] In collaboration with J.H. Jung (SUNY)
               Efficient Determination of Critical Velocity of Solitons in Gross-Pitaveskii Equation using Generalized Polynomial Chaos Methods.
               Applied Num. Math. , 72, 2013

     [QC] In collaboration with A. Bandrauk, F. Fillion-Gourdeau (CRM)
               Resonantly enhanced pair production in a simple diatomic model.
               Phys. Rev Lett., 110(1), 2013

     [QC] In collaboration with A. Bandrauk, F. Fillion-Gourdeau (CRM)
               Enhanced Schwinger pair production in many-centre systems .
               J. Phys. B., 46, 2013

     [QC] In collaboration with C. Koelher, L. Berge, S. Skupin (CEA, Max Planck Inst., P6)
               Saturation of nonlinear refractive index .
               Phys. Rev. A , 87:043811, 2013

     [QC] In collaboration with F. Fillion-Gourdeau (CRM)
               Relativistic spectrum of diatomic molecules.
               Phys. Rev A, 85(2), 2012

     [QC] In collaboration with F. Fillion-Gourdeau (CRM)
               Pair production in counter propagating lasers.
               Phys. Rev A, 86(3) 2012

     [QC] In collaboration with F. Fillion-Gourdeau (CRM)
               Exact solution for simple relativistic molecular ionization model using WTK theory
               J. Phys. A: Math. & Theo. Phys., 45 (21) 2012.

     [QC] In collaboration with F. Fillion-Gourdeau (CRM)
               Numerical Solution of the Time-Dependent Dirac Equation in Coordinate Space without Fermion Doubling.
               Comput. Phys. Comm. , 183 (2012), pp. 1403-1415

    [HS] In collaboration with N. Chalmers (Waterloo U.)
               On the Numerical Approximation of One-dimensional Nonconservative Hyperbolic Systems
               J. Comput. Sc. , 4(1-2), 2013

     [HS] In collaboration with S. Labbe (U. of Grenoble)
   On the reservoir technique convergence - Part II. In preparation.

     [QC] In collaboration with A. Bandrauk (U. Sherbrooke / CRM)
               Fast and Accurate Numerical Nonlinear Optics Model for Intense and Short Laser Pulses
               J. Comput. Sc. , 3(3) 2012

[HS] Is the reservoir technique that computationally complex ?

    [QC] In collaboration with E. Zaoui (U. Montreal / CRM)
               Simulations of laser-gas interaction via a Maxwell-Schroedinger-Plasma model: towards quantum filamentation.
               Physica D, 241(12) 2012.

   [QC] In collaboration with A. Bandrauk (U. Sherbrooke / CRM)
            A Simple and Accurate Mixed P_0-Q_1 FE Solver for the Maxwell-Dirac Equations
               Nonlin. Anal., 12(1), 2011.

     [QC] In collaboration with A. Bandrauk, S. Chelkowski (U. Sherbrooke / CRM)
               The WASP model: A micro-macro system for Wave-Schroedinge-Plasma equations for Filamentation .
               Comm. in Comput. Phys. (CiCP), 9(2), 2011.

     [QC] In collaboration with A. Bandrauk (U. de Sherbrooke and CRM)
               Multiresolution scheme for TDSE.
               Comput. Phys. Comm., 181 (3), 2010.

     [HS] In collaboration with N. Chalmers (Carleton U.)
               Approximation of nonconservative hyperbolic systems based on different nonconservative product definitions
               Can. Applied Math. Q, 17(3), 2009

     [QC] In collaboration with A. Bandrauk (U. de Sherbrooke and CRM) and S. Chelkowski (U. of Sherbrooke)
       Mathematical modeling of boundary conditions for laser-molecule Time Dependent Schroedinger Equations
               and some aspects of their numerical computation - One-dimensional case. Num. Meth. for P.D.E., 25(1) 2009

[HS] In collaboration with S. Labbe (Paris XI-Orsay)
On the reservoir technique convergence - Part I. J. Math. Anal. Appl., 356(2) 2009

   [HS] In collaboration with F. Alouges (Paris XI-Orsay), F. DeVuyst (ECP), G. LeCoq(ENS Cachan)
       The reservoir technique for hyperbolic systems of conservation laws.
               European J. Mech. B / Fluids, 27 (6), 2008.

     [QC] In collaboration with A. Bandrauk (U. de Sherbrooke and CRM) and S. Chelkowski (U. of Sherbrooke)
       Attosecond Pulse Generation from Aligned Molecules - Dynamics and Propagation in H2+.
               New J. of Physics, vol. 10, 2008.

     [QC] In collaboration with A. Bandrauk (U. of Sherbrooke and CRM) et S. Chelkowski (U. of Sherbrooke)
       Numerical Maxwell-Schroedinger model for laser-molecule interaction and propagation.
             Comput. Phys. Comm., 177 (12), 2007.

     [HS] In collaboration with F. Alouges (Paris XI-Orsay), G. LeCoq(ENS Cachan)
             Multidimensional extension of the reservoir technique : application to linear hyperbolic systems.
             J. of Sci. Comput., vol. 31 (issue 3), 2007.

   [FV] In collaboration with A. Soulaimani and A. Ben Haj Ali (ETS/U. of Quebec).
         An accurate positivity preserving scheme for the Spalart-Allmaras turbulence model.
             Comput. Methods Appl. Mech. and Engrg. , vol. 196 (issue 17-20), 2007.
   [Keywords: Turbulence, Navier-Stokes, boundary layer, finite element and volume schemes]

   [QC] In collaboration with A. Bandrauk (U. de Sherbrooke et CRM) and S. Chelkowski (U. de Sherbrooke)
       A Maxwell-Schroedinger model for non-perturbative laser-molecule interaction and some aspects of its numerical computation.
               Proceedings & Notes CRM (A.M.S.) "High-dimensional Partial Differential Equations in Science and Engineering", vol. 41, 2007

     [QC] In collaboration with Y.Saad, J. Chelikowsky (U. of Minnesota).
               An efficient computation of the coupling matrix in Time-Dependent Density Functional Theory.
          Comput. Phys. Comm., 167 (1), 2005.

[HS] On the stability of discrete shocks solutions of flux schemes. Revision for
Inter. J. Finite Vol.

    [QC] In collaboration with G. Zerah (CEA/DAM).
              Recursion method for the electronic structure calculation.
        Comput. Phys. Comm., 158 (1), 2004.

    [HS] In collaboration with Pauline Godillon (ENS de Lyon)
              A Lax shock profile satisfying a sufficient condition of spectral instability.
            J. of Math. Anal. Appl., Vol 283 No 1, pp 12-24, 2003.

[HS] Existence of viscous profiles for the compressible Navier-Stokes equations.
Appl. Anal., Vol 82, No 7, pp 645-654, 2003.

[HS] In collaboration with Vincent Seignole (ENS de Cachan and CEA/Saclay)
Convection systems with stiff source terms .
Math. Models Methods Appl. Sci., Vol 13, No 7, pp 971-1018, 2003.

    [HS] In collaboration with F. Alouges (Paris XI), F. de Vuyst (ECP), G. LeCoq (ENS de Cachan)
          Un procede de reduction de la diffusion numerique pour les schemas a difference de flux d'ordre un pour les systemes hyperboliques.
              C.R. Math. Acad. Sci. Paris 335(7),627-632, 2002.

Proceedings

     [CS] In collaboration with F. Fillion-Gourdeau
       Relativistic ground state of diatomic molecules from the numerical solution of the Dirac equation on parallel computers
               Proceedings of High Perf. Comput. Symp. '11, Journal of Physics: Conference Series 341 (1) , art. no. 012006 (JPCS)

     [CS] In collaboration with F. Fillion-Gourdeau
       Numerical Solution of the Dirac Equation and Applications in Laser-Matter Interaction.
               Proceedings of AIP Conference Proceedings 1368 , pp. 13-16 AMMCS 2011.

     [CS] In collaboration with A. Bandrauk (U. of Sherbrooke and CRM)
       A Maxwell-Schroedinger-Plasma model and computing aspects for intense, high frequency and ultrashort laser-gas interaction.
               Proceedings of High Perf. Comput. Symp. '09, Lect. Notes in Comput. Sc., Springer, 2010.

     [CS] In collaboration with A. Bandrauk (U. of Sherbrooke and CRM)
       Efficient Parallel Computing for Laser-Gas Quantum Interaction and Propagation.
               Proceedings of High Perf. Comput. Symp. '08, IEEE, 2008.

[QC] In collaboration with A. Bandrauk (U. of Sherbrooke and CRM) and S. Chelkowski (U. of Sherbrooke)
Propagation effects on attosecond pulse dynamics. Proceedings SPIE, vol 6733, 2007.

     [FV] In collaboration with A. Soulaimani and A. Ben Haj Ali (ETS/U. of Quebec)
         "Positive scheme for the Spalart-Allmaras turbulence model. Application to aerodynamics"
             Proceedings du 36th AIAA Fluid Dynamics Conference and Exhibit 2006, San Fransisco, June 5-8, 2006.

    [HS] In collaboration with F. Alouges (Paris XI-Orsay), G. Le Coq (ENS Cachan)
        "Extension of the reservoir technique to multidimensional linear equations"
          "Fourth International Symposium on Finite Volumes for Complex Applications", pp411-421
              Marrakech, July, 2005.

[FV] In collaboration with A. Soulaimani and A. Ben Haj Ali (ETS/U. of Quebec)
"Accurate positive scheme for the Spalart-Allmaras turbulence model"
Proceedings ECCOMAS 2004, Finland July 24-28, 2004.

    [QC] In collaboration with G. Chabrier (ENS Lyon), Winisdoerfer (ENS Lyon), G. ZÃƒÂ©rah (CEA/DAM).
            Orbital free simulations for warms dense matter physics. Proceedings of
              Fifth International Symposium on behaviour of dense media under high dynamic pressures
            June (2003).

    [HS] In collaboration with F. Alouges (Paris XI-Orsay), F. de Vuyst (Paris XII), G. Le Coq (ENS).
              Reservoir scheme for the systems of conservation laws. Proceedings of
              "Third International Symposium on Finite Volumes for Complex Applications", pp261-268.
          June 24-28, (2002) / Porquerolles, France.

Technical reports

    [FV] Implicitation en flux des schemas de flux.
              Rapport technique CEA/Saclay/DM2S/SFME/LGLS/RT/01-010, 2001.
              [Keywords: multiD implicit finite volume schemes, two-pahse flows, numerical simulations]

    [CS] Inclusion de Numerical Platon dans OVAP.
              Rapport technique CEA/Saclay/DM2S/SFME/LGLS/RT/01-013A, 2001.
            [Keywords : parallelism, O.O.C.., MPI, OpenMP]

Seminar of applied Mathematics of Ecole Polytechnique de Montreal (Canada), 2006.