Publications récentes (depuis 2010)

André D. Bandrauk

Monographies / Livres:
  • Bandrauk, A. D., Lorin de la Grandmaison, E., Moloney, J. V. (EDT), Laser Filamentation, CRM Series in Mathematical Physics, New York, Springer, 2016.
  • Bandrauk, A. D., Ivanov M. (EDT), Quantum Dynamic Imaging, CRM Series in Mathematical Physics, New York, Springer, 2011.
  • Yamanouchi, K., Gerber, G., Bandrauk, A. D. (EDT), Progress in Ultrafast Intense Laser Science. VI 99, Springer Series in Chemical Physics, Vol. 99, Berlin, Springer, 2010.
Chapitres de livres:
  • Bandrauk, A. D., Yuan, K.-J., « Circularly polarized attosecond pulses and molecular atto-magnetism », in From Atomic to Mesoscale: The Role of Quantum Coherence in Systems of Various Complexities, S. A. Malinowskaya, I. Novikova, éd., Singapour, World Scientific, 2015.
  • Yuan, K.-J., Bandrauk, A. D., « Coherent electron wave packet, CEWP, interference in attosecond photoionization with ultrashort circularly polarized XUV laser pulses », in Progress in Ultrafast Intense Laser Science XI, K. Yamanouchi, C. H. Nam, P. Martin, éd., Springer Series in Chemical Physics, Vol. 109, Berlin, Springer, 2014.
  • Yuan, K.-J., Bandrauk, A. D., « Laser induced electron diffraction, LIED, in circular polarization molecular attosecond photoionization, MAP », in Progress in Ultrafast Intense Laser Science XI, K. Yamanouchi, C. H. Nam, P. Martin, éd., Springer Series in Chemical Physics, Vol. 109, Berlin, Springer, 2014.
  • Bandrauk, A. D., Bredtmann, T., Chelkowski, S., « Attosecond dynamics of coherent electron-nuclear wave packets in molecules », in Progress in Ultrafast Intense Laser Science IX, K. Yamanouchi, K. Midorikawa, éd., Springer Series in Chemical Physics, Vol. 104, Berlin, Springer, 2013.
  • Ullrrich, C. A., Bandrauk, A. D., « Atoms and molecules in strong laser fields », in Fundamentals of Time-Dependent Density Functional Theory, M. A. L. Marques, N. T. Maitra, F. M. d. S. Nogueira, E. K. U Gross, A. Rubio, éd., Lecture Notes in Physics, Vol. 837, Berlin, Springer, 2012.
  • Bandrauk, A. D., Légaré, F., « Enhanced ionization of molecules in intense laser fields », in Progress in Ultrafast Intense Laser Science VIII, K. Yamanouchi, M. Nisoli, W. T. Hill, III, éd., Springer Series in Chemical Physics, Vol. 103, Berlin, Springer, 2012.
  • Bandrauk, A. D., Chelkowski, S., Lu, H., « Correlated electron-nuclear motion visualized using a wavelet time-frequency analysis », in Quantum Dynamic Imaging, A. D. Bandrauk, M. Ivanov, éd., CRM Series in Mathematical Physics, New York, Springer, 2011.
  • Bandrauk, A. D., Penka Fowe, E., « Nonperturbative time-dependent density functional theory, TDDFT: study of ionization and harmonic generation in linear di-(N$_2$) and tri-(CO$_2$, OCS, CS$_2$) atomic molecules with ultrashort intense laser pulses-orientational fffects », in Coherence Ultrashort Pulse Laser Emission, F. J. Duarte, éd., Wien, InTech, 2010.
Articles de revues avec comité de lecture:
  • Yuan, K.-J., Chelkowski, S., Bandrauk, A. D., « Photoelectron momentum distributions of molecules in bichromatic circularly polarized attosecond UV laser fields », Physical Review A. Atomic, Molecular, and Optical Physics, 93:5 (mai 2016), 053425, 10 p.
  • Mauger, F., Bandrauk, A. D., Uzer, T. A., « Circularly polarized molecular high harmonic generation using a bicircular laser », Journal of Physics B. Atomic, Molecular and Optical Physics, 49:10 (mai 2016), 10LT01, 5 p.
  • Fillion-Gourdeau, F., Lorin de la Grandmaison, E., Bandrauk, A. D., « Galerkin method for unsplit 3-D Dirac equation using atomically/kinetically balanced B-spline basis », Journal of Computational Physics, 307 (février 2016), 122–145.
  • Yuan, K.-J., Bandrauk, A. D., « Interference asymmetry of molecular frame photoelectron angular distributions in bichromatic UV ionization processes », Journal of Physics B. Atomic, Molecular and Optical Physics, 49:6 (février 2016), 065601, 13 p.
  • Bredtmann, T., Chelkowski, S., Bandrauk, A. D., Ivanov M., « XUV lasing during strong-field-assisted transient absorption in molecules », Physical Review A. Atomic, Molecular, and Optical Physics, 93:2 (février 2016), 021402, 5 p.
  • Bandrauk, A. D., Yuan, K.-J., « Circularly polarised attosecond pulses: generation and applications », Molecular Physics, 114:3-4, 55th Sanibel Symposium Proceedings (2016), 344–355.
  • Paramonov, G. K., Kühn, O., Bandrauk, A. D., « Shaped post-field electronic oscillations in H$_2^+$ excited by two-cycle laser pulses: three-dimensional non-Born–Oppenheimer simulations », The Journal of Physical Chemistry A, 120:19, Ronnie Kosloff Festschrift (2016), 3175–3185.
  • Yuan, K.-J., Bandrauk, A. D., « Attosecond-magnetic-field-pulse generation by electronic currents in bichromatic circularly polarized UV laser fields », Physical Review A. Atomic, Molecular, and Optical Physics, 92:6 (décembre 2015), 063401, 6 p.
  • Chelkowski, S., Bandrauk, A. D., Corkum, P. B., « Photon-momentum transfer in multiphoton ionization and in time-resolved holography with photoelectrons », Physical Review A. Atomic, Molecular, and Optical Physics, 92:5 (novembre 2015), 05140, 5 p.
  • Kraus, P. M., Mignolet, B., Baykusheva, D., Rupenyan, A., Horný, L., Penka Fowe, E., Grassi, G., Tolstikhin, O. I., Schneider, J., Jensen, F., Madsen, L. B., Bandrauk, A. D., Remacle, F., Wörner, H. J., « Measurement and laser control of attosecond charge migration in ionized iodoacetylene », Science, 350:6262 (novembre 2015), 790–795.
  • Yuan, K.-J., Chelkowski, S., Bandrauk, A. D., « Molecular photoelectron momentum distributions by intense orthogonally polarized attosecond ultraviolet laser pulses », Chemical Physics Letters, 638 (octobre 2015), 173–178.
  • Antoine, X., Lorin de la Grandmaison, E., Bandrauk, A. D., « Domain decomposition method and high-order absorbing boundary conditions for the numerical simulation of the time dependent Schrödinger equation with ionization and recombination by intense electric field », Journal of Scientific Computing, 64:3 (septembre 2015), 620–646.
  • Yuan, K.-J., Lu, H., Bandrauk, A. D., « High-order-harmonic generation in molecular sequential double ionization by intense circularly polarized laser pulses », Physical Review A. Atomic, Molecular, and Optical Physics, 92:2 (août 2015), 023415, 5 p.
  • Yuan, K.-J., Chelkowski, S., Bandrauk, A. D., « Molecular photoelectron angular distribution rotations in multi-photon resonant ionization of H$_2^+$ by circularly polarized ultraviolet laser pulses », The Journal of Chemical Physics, 142:14 (avril 2015), 144304, 10 p.
  • Yuan, K.-J., Bandrauk, A. D., « Attosecond-magnetic-field-pulse generation by coherent circular molecular electron wave packets », Physical Review A. Atomic, Molecular, and Optical Physics, 91:4 (avril 2015), 042509.
  • Noh Daud, M., Lu, H., Chelkowski, S., Bandrauk, A. D., « Quantum control of electron-proton symmetry breaking in dissociative ionization of H$_2$ by intense laser pulses », International Journal of Quantum Chemistry, 115:6 (mars 2015), 369–380.
  • Yuan, K.-J., Bandrauk, A. D., « Electron interference in molecular polarization attosecond XUV photoionization », Photonics, 2:1 (mars 2015), 71–92.
  • Yuan, K.-J., Bandrauk, A. D., « Molecular alignment dependent electron interference in attosecond ultraviolet photoionization », Structural Dynamics, 2:1 (janvier 2015), 014101, 9 p.
  • Lorin de la Grandmaison, E., Lytova, M., Memarian, A., Bandrauk, A. D., « Development of nonperturbative nonlinear optics models including effects of high order nonlinearities and of free electron plasma: Maxwell-Schrödinger equations coupled with evolution equation for polarization effects, and the SFA-like nonlinear optics model », Journal of Physics A. Mathematical and Theoretical, 48:10 (2015), 105201, 47 p.
  • Ibrahim, H., Wales, B., Beaulieu, S., Schmidt, B. E., Thiré, N., Bisson, É., Hebeisen, C. T., Wanie, V., Giguére, M., Kieffer, J.-C., Spanner, M., Bandrauk, A. D., Schuurman, M. S., Sanderson, J., Légaré, F., « Tabletop imaging using 266nm femtosecond laser pulses, for characterization of structural evolution in, single molecule, chemical reactions », Journal of Physics. Conference Series, 635 (2015), 112128, 1 p.
  • Bandrauk, A. D., Yuan, K.-J., « Molecules in intense laser fields », Physics in Canada / La Physique au Canada, 71:4 (2015), 240–242.
  • Kraus, P. M., Mignolet, B., Baykusheva, D., Rupenyan, A., Horný, L., Penka Fowe, E., Tolstikhin, O. I., Schneider, J., Jensen, F., Madsen, L. B., Bandrauk, A. D., Remacle, F., Wörner, H. J., « Attosecond charge migration and its laser control », Journal of Physics. Conference Series, 635 (2015), 112136, 1 p.
  • Chelkowski, S., Bandrauk, A. D., Corkum, P. B., « Photon momentum sharing between an electron and an Ion in photoionization: From one-photon (photoelectric effect) to multiphoton absorption », Physical Review Letters, 113:26 (décembre 2014), 263005, 5 p.
  • Antoine, X., Lorin de la Grandmaison, E., Sater, J., Fillion-Gourdeau, F., Bandrauk, A. D., « Absorbing boundary conditions for relativistic quantum mechanics equations », Journal of Computational Physics, 277:15 (novembre 2014), 268–304.
  • Bian, X.-B., Bandrauk, A. D., « Probing nuclear motion by frequency modulation of molecular high-order harmonic generation », Physical Review Letters, 113 (novembre 2014), 193901, 5 p.
  • Mauger, F., Bandrauk, A. D., « Electronic dynamics and frequency effects in circularly polarized strog-field physics », Journal of Physics B. Atomic, Molecular and Optical Physics, 47:19 (octobre 2014), 191001, 5 p.
  • Yuan, K.-J., Chelkowski, S., Bandrauk, A. D., « Rotations of molecular photoelectron angular distributions in adove threshold ionization of H+2 by intense circularly polarized attosecond UV laser pulses », Journal of Physics B. Atomic, Molecular and Optical Physics, 47:20 (octobre 2014), 204009, 18 p.
  • Bandrauk, A. D., Paramonov, G. K., « Excitation of muonic molecules ddμ and dt$\mu$ by super-intense attosecond soft X-ray laser pulses: Shaped post-laser-pulse muonic oscillations and enhancement of nuclear fusion », International Journal of Modern Physics E: Nuclear Physics, 23:9 (septembre 2014), 1430014, 34 p.
  • Fillion-Gourdeau, F., Lorin de la Grandmaison, E., Bandrauk, A. D., « A split-step numerical method for the time-dependent Dirac equation in 3-D axisymmetric geometry », Journal of Computational Physics, 272 (septembre 2014), 559–587.
  • Yuan, K.-J., Bian, X.-B., Bandrauk, A. D., « Two-center interference in molecular photoelectron energy spectra with attosecond circularly polarized XUV laser pulses », Physical Review A. Atomic, Molecular, and Optical Physics, 90 (août 2014), 023407, 10 p.
  • Ibrahim, H., Wales, B., Beaulieu, S., Schmidt, B. E., Thiré, N., Penka Fowe, E., Bisson, É., Hebeisen, C. T., Wanie, V., Giguére, M., Kieffer, J.-C., Spanner, M., Bandrauk, A. D., Sanderson, J., Schuurman, M. S., Légaré, F., « Tabletop imaging of structural evolutions in chemical reactions demostrated for the acetylene action », Nature Communications, 5 (juillet 2014), Article 4422, 8 p.
  • Ooi, C. H. R., Ho, W., Bandrauk, A. D., « Photoelectron angular distributions of excited atoms in intense laser fields », Physical Review A. Atomic, Molecular, and Optical Physics, 90:1 (juillet 2014), 013417, 10 p.
  • Bian, X.-B., Bandrauk, A. D., « Orientation-dependent forward-backward photoelectron holography asymmetric molecules », Physical Review A. Atomic, Molecular, and Optical Physics, 89 (mars 2014), 033423, 5 p.
  • Lefebvre, C., Lu, H., Chelkowski, S., Bandrauk, A. D., « Electron-nuclear dynamics of the one-electron nonlinear polyatomic molecule $\mathrm{H}_3^{2+}$ in ultrashort intense laser pulses », Physical Review A. Atomic, Molecular, and Optical Physics, 89:2 (février 2014), 023403, 12 p.
  • Penka Fowe, E., Couture-Bienvenue, É., Bandrauk, A. D., « Ionization and hamonic generation in CO and H$_2$CO and their cations with ultrashort intense laser pulses with time-dependent density-functional theory », Physical Review A. Atomic, Molecular, and Optical Physics, 89:2 (février 2014), 023414, 8 p.
  • Yuan, K.-J., Chelkowski, S., Bandrauk, A. D., « Molecular photoelectron angular distributions with intense attosecond circularly polarized UV laser pulses », Chemical Physics Letters, 592 (janvier 2014), 334–340.
  • Mauger, F., Bandrauk, A. D., Kamor, A., Uzer, T. A., Chandre, C., « Quantum-classical correspondance in circulary polarized high harmonic generation  », Journal of Physics B. Atomic, Molecular and Optical Physics, 47:4 (janvier 2014), 041001, 5 p.
  • Bian, X.-B., Bandrauk, A. D., « Atomic and molecular photoelectron holography in strong laser fields », Chinese Journal of Physics, 52:1 (janvier 2014), 569–577.
  • Yuan, K.-J., Sun, Z., Bandrauk, A. D., « Autler–Townes effects in attosecond circular polarization molecular photoionization », Journal of Physics. Conference Series, 529 (2014), 012004, 11 p.
  • Yuan, K.-J., Bandrauk, A. D., « Molecular attosecond photoionization with few cycle XUV laser pulses  », Journal of Physics. Conference Series, 497 (2014), 012014, 9 p.
  • Bandrauk, A. D., Lu, H., « Exponential propagators (integrators) for the time-dependent Schrödinger equation  », Journal of Theoretical and Computational Chemistry, 12:6 (septembre 2013), 134001, 17 p.
  • Chelkowski, S., Bredtmann, T., Bandrauk, A. D., « High-harmonic generation from a coherent superposition of electronic states: Controlling interference patterns via short and long quantum orbits », Physical Review A. Atomic, Molecular, and Optical Physics, 88:3 (septembre 2013), 033423, 17 p.
  • Fillion-Gourdeau, F., Lorin de la Grandmaison, E., Bandrauk, A. D., « Enhanced schwinger pair production in many-centre systems », Journal of Physics B. Atomic, Molecular and Optical Physics, 46:17 (août 2013), 175002, 12 p.
  • Dehghanian, E., Bandrauk, A. D., Lagmago Kamta, G., « Enhanced ionization of the non-symmetric HeH$^+$ molecule driven by intense ultrashort laser pulses », The Journal of Chemical Physics, 139:8 (août 2013), 084315, 15 p.
  • Bandrauk, A. D., Fillion-Gourdeau, F., Lorin de la Grandmaison, E., « Atoms and molecules in intense laser fields: gauge invariance of theory and models », Journal of Physics B. Atomic, Molecular and Optical Physics, 46:15 (juillet 2013), 153001, 33 p.
  • Yuan, K.-J., Bandrauk, A. D., « Attosecond-magnetic-field-pulse generation by intense few-cycle circularly polarized UV laser pulses », Physical Review A. Atomic, Molecular, and Optical Physics, 88:1 (juillet 2013), 013417, 6 p.
  • Fillion-Gourdeau, F., Lorin de la Grandmaison, E., Bandrauk, A. D., « New mechanism for the generation of electron-positron pairs in laser-matter interaction: resonantly enhanced pair production in a moleculat system », Journal of Physics. Conference Series, 414:1 (juin 2013), 012013, 10 p. 21st International Laser Physics Workshop
  • Yuan, K.-J., Lu, H., Bandrauk, A. D., « Electron interference in molecular photoionization by attosecond laser pulses », European Journal of Chemical Physics and Physical Chemistry 14:7 (mai 2013), 1496–1501.
  • Matta, C. F., Sowlati-Hashjin, S., Bandrauk, A. D., « Dipole moment surfaces of the $\mathrm{CH}_4 + {}^\bullet X → \mathrm{CH}_3 {}^\bullet + \mathrm{H}X$ ($X = \mathrm{F}, \mathrm{Cl}$) reactions from atomic dipole moment surfaces, and the origins of the sharp extrema of the diplome moments near the transition states », The Journal of Physical Chemistry A, 117, Joel M. Bowman Festschrift (avril 2013), 7468–7483.
  • Köhler, C., Guichard, R., Lorin de la Grandmaison, E., Chelkowski, S., Bandrauk, A. D., Bergé, L., Skupin, S., « On the saturation of the nonlinear refractive index in atomic gases », Physical Review A. Atomic, Molecular, and Optical Physics, 87:4 (avril 2013), 043811, 9 p.
  • Yuan, K.-J., Chelkowski, S., Bandrauk, A. D., « Rotations of molecular photoelectron angular distributions with intense ultrashort circularly polarized attosecond laser pulses », The Journal of Chemical Physics, 138:13 (avril 2013), 134316, 10 p.
  • Köhler, C., Lorin de la Grandmaison, E., Chelkowski, S., Bandrauk, A. D., Bergé, L., Skupin, S., « Saturation of the nonlinear refractive index atomic gases », Physical Review A. Atomic, Molecular, and Optical Physics, 87 (avril 2013), 043811, 9 p.
  • Bian, X.-B., Bandrauk, A. D., « Spectral shifts of nonadiabatic high-order harmonic generation », Applied Sciences, 3:1 (mars 2013), 267–277.
  • Yuan, K.-J., Bandrauk, A. D., « Photoelectron angular distributions in molecular above threshold ionization by two colour circularly polarized ultashort UV laser pulses  », Journal of Modern Optics, 60:17, Ultra-fast Dynamic Imaging of Matter (mars 2013), 1492–1505.
  • Bandrauk, A. D., Chelkowski, S., Lu, H., « High-frequency, correlated nuclear and electron oscillations in molecules in intense laser fields », Chemical Physics, 414 (mars 2013), 73–83.
  • Yuan, K.-J., Bandrauk, A. D., « Single circularly polarized attosecond pulse generation by intense few cycle elliptically polarized laser pulses and Terahertz fields from molecular media  », Physical Review Letters, 110:2 (janvier 2013), 023003, 5 p.
  • Fillion-Gourdeau, F., Lorin de la Grandmaison, E., Bandrauk, A. D., « Resonantly enhanced pair production in a simple diatomic model », Physical Review Letters, 110:1 (janvier 2013), 013002, 5 p.
  • Bian, X.-B., Bandrauk, A. D., « Orientation dependence of nonadiabatic molecular high-order-harmonic generation from resonant polar molecules », Physical Review A. Atomic, Molecular, and Optical Physics, 86:5 (novembre 2012), 053417, 5 p.
  • Fillion-Gourdeau, F., Lorin de la Grandmaison, E., Bandrauk, A. D., « Landau–Zener–Stückelberg interferometry in pair production from counterpropagating lasers », Physical Review A. Atomic, Molecular, and Optical Physics, 86:3 (septembre 2012), 032118, 10 p.
  • Bredtmann, T., Chelkowski, S., Bandrauk, A. D., « Effect of nuclear motion on molecular high order harmonic pump probe spectroscopy  », The Journal of Physical Chemistry A, 116:46, Jörn Manz Festschrift (septembre 2012), 11398–11405.
  • Ooi, C. H. R., Ho, W., Bandrauk, A. D., « Photoionization spectra by intense linear, circular, and elliptic polarized lasers », Physical Review A. Atomic, Molecular, and Optical Physics, 86:2 (août 2012), 023410, 6 p.
  • Fillion-Gourdeau, F., Lorin de la Grandmaison, E., Bandrauk, A. D., « Numerical solution of the time-dependent Dirac equation in coordinate space without fermion-doubling », Computer Physics Communications, 183:7 (juillet 2012), 1403–1415.
  • Spanner, M., Gräfe, S., Chelkowski, S., Pavicic, D., Meckel, M., Zeidler, D., Bardon, A. B., Ulrich, B., Bandrauk, A. D., Villeneuve, D. M., Dörner, R., Corkum, P. B., Staudte, A., « Coulomb asymmetry and sub-cycle electron dynamics in multiphoton multiple ionization of H$_2$ », Journal of Physics B. Atomic, Molecular and Optical Physics, 45:19 (juillet 2012), 194011, 10 p.
  • Fillion-Gourdeau, F., Lorin de la Grandmaison, E., Bandrauk, A. D., « Relativistic Stark resonances in a simple exactly soluble model for a diatomic molecule », Journal of Physics A. Mathematical and Theoretical, 45:21 (juin 2012), 215304, 21 p.
  • Lorin de la Grandmaison, E., Chelkowski, S., Zaoui, E. M., Bandrauk, A. D., « Maxwell–Schrödinger–Plasma (MASP) model for laser–molecule interactions: Towards an understanding of filamentation with intense ultrashort pulses », Physica D. Nonlinear Phenomena, 241:12 (juin 2012), 1059–1071.
  • Bian, X.-B., Bandrauk, A. D., « Attosecond time-resolved imaging of molecular structure by photoelectron holography », Physical Review Letters, 108:26 (juin 2012), 263003, 4 p.
  • Lorin de la Grandmaison, E., Bandrauk, A. D., « Efficient and accurate numerical modeling of a micro-macro nonlinear optics model for intense and short laser pulses », Journal of Computational Science, 3:3, Scientific Computation Methods and Applications (mai 2012), 159–168.
  • Yuan, K.-J., Bandrauk, A. D., « Molecular above-threshold-ionization angular distributions with intense circularly polarized attosecond XUV laser pulses », Physical Review A. Atomic, Molecular, and Optical Physics, 85:5 (mai 2012), 053419, 8 p.
  • Lefebvre, C., Lu, H., Bandrauk, A. D., « Numerical method for dynamic imaging of nonlinear polyatomic molecules », Journal of Physics. Conference Series, 341:1 (mai 2012), 012004, 7 p. High performance computing symposium 2011
  • Yuan, K.-J., Bandrauk, A. D., « Photoelectron angular distribution of H$^+_2$ and HHe$^{2+}$ by intense circularly polarized extreme ultraviolet laser pulses », Journal of Physics B. Atomic, Molecular and Optical Physics, 45:10 (avril 2012), 105601, 15 p.
  • Penka Fowe, E., Bandrauk, A. D., « Nonperturbative time-dependent density functional theory (TDDFT) and time-dependent electron localization function (TDELF) study of the ionization of OCS and CS$_2$ with ultrashort intense laser pulses—Orientational effects », Canadian Journal of Chemistry / Revue canadienne de chimie, 90:7 (mars 2012), 616–624.
  • Yuan, K.-J., Bandrauk, A. D., « Circularly polarized attosecond pulses from molecular high-order harmonic generation by ultrashort intense bichromatic circularly and linearly polarized laser pulses », Journal of Physics B. Atomic, Molecular and Optical Physics, 45:7 (mars 2012), 074001, 21 p.
  • Fillion-Gourdeau, F., Lorin de la Grandmaison, E., Bandrauk, A. D., « Relativistic groud state of diatomic molecules from the numerical solution of the Dirac equation on parallel computers », Journal of Physics. Conference Series, 341:1 (mars 2012), 012006, 10 p. High performance computing symposium
  • Chelkowski, S., Bredtmann, T., Bandrauk, A. D., « High-order-harmonic generation from coherent electron wave packets in atoms and molecules as a toool for monitoring attosecond electrons », Physical Review A. Atomic, Molecular, and Optical Physics, 85:3 (mars 2012), 033404, 14 p.
  • Fillion-Gourdeau, F., Lorin de la Grandmaison, E., Bandrauk, A. D., « Numerical solution of the time-independent Dirac equation for diatomic molecules: $B$ splines without spurious states », Physical Review A. Atomic, Molecular, and Optical Physics, 85:2 (février 2012), 022506, 12 p.
  • Yuan, K.-J., Bandrauk, A. D., « Molecular above-threshold-ionization angular distributions with attosecond bichromatic intense XUV laser pulses », Physical Review A. Atomic, Molecular, and Optical Physics, 85:1 (janvier 2012), 013413, 13 p.
  • Bian, X.-B., Huismans, Y., Smirnova, O., Yuan, K.-J., Vrakking, M. J. J., Bandrauk, A. D., « Subcycle interference dynamics of time-resolved photoelectron holography with midinfrared laser pulses », Physical Review A. Atomic, Molecular, and Optical Physics, 84:4 (octobre 2011), 043420, 8 p.
  • Penka Fowe, E., Bandrauk, A. D., « Nonperturbative time-dependent density-functional theory of ionization and harmonic generation in OCS and CS$_2$ molecules with ultrashort intense laser pulses: Intensity and orientational effects », Physical Review A. Atomic, Molecular, and Optical Physics, 84:3 (septembre 2011), 035402, 5 p.
  • Bocharova, I., Karimi, R., Penka Fowe, E., Brichta, J.-P., Lassonde, P., Fu, X., Kieffer, J.-C., Bandrauk, A. D., Litvinyuk, I. V., Légaré, F., Sanderson, J., « Charge resonance enhanced ionization of CO$_2$ probed by laser Coulomb explosion imaging », Physical Review Letters, 107 (août 2011), 063201, 5 p.
  • Yuan, K.-J., Bandrauk, A. D., « Generation of circularly polarized attosecond pulses by intense ultrashort laser pulses from extended asymmetric molecular ions », Physical Review A. Atomic, Molecular, and Optical Physics, 84:2 (août 2011), 023410, 8 p.
  • Bredtmann, T., Chelkowski, S., Bandrauk, A. D., « Monitoring attosecond dynamics of coherent electron-nuclear wave packets by molecular high-order-harmonic generation », Physical Review A. Atomic, Molecular, and Optical Physics, 84:2 (août 2011), 021401, 4 p.
  • Yuan, K., Bandrauk, A. D., « Angle-dependent molecular above-threshold ionization with ultrashort intense linearly and circularly polarized laser pulses », Physical Review A. Atomic, Molecular, and Optical Physics, 84:1 (juillet 2011), 013426, 7 p.
  • Yuan, K., Bandrauk, A. D., « Circularly polarized molecular high-order harmonic generation in $\mathrm{H}_2^+$ with intense laser pulses and static fields », Physical Review A. Atomic, Molecular, and Optical Physics, 83:6 (juin 2011), 063422, 7 p.
  • Bandrauk, A. D., Chelkowski, S., Yuan, K.-J., « Controlling electron collisions-recollisions with ultrashort intense laser pulses—From femto to attosecond science », International Review of Atomic and Molecular Physics, 2:1 (juin 2011), 1–23.
  • Paramonov, G. K., Bandrauk, A. D., Kühn, O., « Long-range energy transfer and ionization in extended quantum systems driven by ultrashort spatially shaped laser pulses », Physical Chemistry Chemical Physics, 13:19 (mai 2011), 8637–8646.
  • Yuan, K., Lu, H., Bandrauk, A. D., « Linear- and circular-polarization photoionization angular distributions in $\mathrm{H}_2$ and $\mathrm{H}_2^+$ by attosecond xuv laser pulses », Physical Review A. Atomic, Molecular, and Optical Physics, 83:4 (avril 2011), 043418, 16 p.
  • Bian, X.-B., Bandrauk, A. D., « Nonadiabatic molecular high-order harmonic generation from polar molecules: Spectral redshift », Physical Review A. Atomic, Molecular, and Optical Physics, 83:4 (avril 2011), 041403, 4 p.
  • Tchitchekova, D., Lu, H., Chelkowski, S., Bandrauk, A. D., « Molecular high-order harmonic generation in a nonlinear two-electron molecule: the equilateral $\mathrm{H}^+_3$ », Journal of Physics B. Atomic, Molecular and Optical Physics, 44:6 (mars 2011), 065601, 9 p.
  • Lorin de la Grandmaison, E., Bandrauk, A. D., « A simple and accurate mixed $P^0$–$Q^1$ solver for the Maxwell–Dirac equations », Nonlinear Analysis. Real World Applications, 12:1 (février 2011), 190–202.
  • Bian, X.-B., Bandrauk, A. D., « Phase control of multichannel molecular high-order harmonic generation by the asymmetric diatomic molecule HeH2+ in two-color laser fields », Physical Review A. Atomic, Molecular, and Optical Physics, 83:2 (février 2011), 023414, 7 p.
  • Paramonov, G. K., Kühn, O., Bandrauk, A. D., « Energy transfer among distant quantum systems in spatially shaped laser fields: Two H atoms with an internuclear separation of 5.29 nm (100 a.u.) », Physical Review A. Atomic, Molecular, and Optical Physics, 83:1 (janvier 2011), 013418, 12 p.
  • Bondar, D. I., Yudin, G. L., Liu, W.-K., Ivanov M., Bandrauk, A. D., « Nonsequential double ionization below laser-intensity threshold: Anticorrelation of electrons without excitation of parent ion », Physical Review A. Atomic, Molecular, and Optical Physics, 83:1 (janvier 2011), 013420, 6 p.
  • Penka Fowe, E., Bandrauk, A. D., « Nonlinear time-dependent density functional theory investigation and visualization of ionizations in CO$_2$—Effects of laser intensities and molecular orientations », Canadian Journal of Chemistry / Revue canadienne de chimie, 88:11, Dedicated to Russell Jaye Boyd (novembre 2010), 1186–1194.
  • Lorin de la Grandmaison, E., Chelkowski, S., Bandrauk, A. D., « The WASP model: A micro-macro system of wave-Schrödinger-plasma equations for filamentation », Communications in Computational Physics, 9:2 (août 2010), 406–440. soumis en 2009
  • Bian, X.-B., Bandrauk, A. D., « Multichannel molecular high-order harmonic generation from asymmetric diatomic molecules », Physical Review Letters, 105:9 (août 2010), 093903, 4 p.
  • Chelkowski, S., Bandrauk, A. D., « Visualizing electron delocalization, electron–proton correlations, and the Einstein–Podolsky–Rosen paradox during the photodissociation of a diatomic molecule using two ultrashort laser pulses », Physical Review A. Atomic, Molecular, and Optical Physics, 81:6 (juin 2010), 062101, 8 p.
  • Yuan, K., Bandrauk, A. D., « High-order elliptically polarized harmonic generation in extended molecules with ultrashort intense bichromatic circularly polarized laser pulses », Physical Review A. Atomic, Molecular, and Optical Physics, 81:6 (juin 2010), 063412, 7 p.
  • Dehghanian, E., Bandrauk, A. D., Lagmago Kamta, G., « Enhanced ionization of the H$_2$ molecule driven by intense ultrashort laser pulses », Physical Review A. Atomic, Molecular, and Optical Physics, 81:6 (juin 2010), 061403, 4 p.
  • Lorin de la Grandmaison, E., Bandrauk, A. D., « Multiresolution scheme for time-dependent Schrödinger equation », Computer Physics Communications, 181:3 (mars 2010), 626–638.
  • Penka Fowe, E., Bandrauk, A. D., « Nonlinear time-dependent density-functional-theory study of ionization and harmonic generation in CO$_2$ by ultrashort intense laser pulses: Orientational effects », Physical Review A. Atomic, Molecular, and Optical Physics, 81:2 (février 2010), 023411, 8 p.
Actes de colloque avec comité de lecture:
  • Lorin de la Grandmaison, E., Lytova, M., Bandrauk, A. D., « Nonperturbative nonlinear Maxwell–Schrödinger models for intense laser pulse propagation », in Laser Filamentation, Workshop on Mathematical Methods and Models in Laser Filamentation (Montréal, 2014), A. D. Bandrauk, E Lorin, J. V. Moloney, éd., CRM Series in Mathematical Physics, New York, Springer, 2016, 167–183.
  • Ibrahim, H., Wales, B., Beaulieu, S., Schmidt, B. E., Thiré, N., Penka Fowe, E., Bisson, É., Hebeisen, C. T., Wanie, V., Giguére, M., Kieffer, J.-C., Spanner, M., Bandrauk, A. D., Sanderson, J., Schuurman, M. S., Légaré, F., « Tabletop imaging of structural evolutions in chemical reactions », in Ultrafast Phenomena XIX, 19th International Conference on Ultrafast Phenomena, (Okinawa, 2014), K. Yamanouchi, S. Cundiff, R. de Vivie-Riedle, M. Kuwata-Gonokami, L. DiMauro, éd., Springer Proceedings in Physics, Vol. 162, Berlin, Springer, 2015, 130–133.
  • Fillion-Gourdeau, F., Lorin de la Grandmaison, E., Bandrauk, A. D., « Avoiding the coordinate singularity problem in the numerical solution of the Dirac equation in cylindrical coordinates  », in Interdisciplinary Topics in Applied Mathematics, Modeling and Computational Science, M. G. Cojocaru, I. S. Kotsireas, R. N. Makarov, R. V. N. Melnik, H. Shodiev, éd., Springer Proceedings in Mathematics & Statistics, Vol. 117, Springer, 2015, 211–217.
  • Fillion-Gourdeau, F., Lorin de la Grandmaison, E., Bandrauk, A. D., « Numerical solution of the Dirac equation and application in lase-matter interaction », in Advances in Mathematical and Computational Methods: Addressing Modern Challenges of Science, Technology, and Society, I. Kotsireas, R. Melnik, B. West, éd., AIP Conference Proceedings, Vol. 1368, Melvile, NY, Amer. Inst. Phys., 2012, 13–16.
  • Bandrauk, A. D., Paramonov, G. K., « Laser induced nuclear fusion, LINF, in muonic molecules with ultrashort super intense lase fields », in The 2nd International Conference on Ultra-Intense Laser Interaction Science, 2nd International Conference on Ultra-Intense Laser Interaction Science (Frascati, 2009), A. Gamucci, A. Guiletti, L. Labate, éd., AIP Conference Proceedings, Vol. 1209, Amer. Inst. Phys., 2010, 7–10.
  • Bandrauk, A. D., Lu, H., « Efficient numerical methods for the time-dependent Schrödinger equation for molecules in intense laser fields », in High Performance Computing Systems and Applications, 23rd International Symposiumon High Performance Computing Systems and Applications — HPCS 2009 (Kingston, ON, 2009), D. J. K. Mewhart, N. M. Cann, G. W. Slater, T. J. Naughton, éd., Lecture Notes in Computer Science, Vol. 5976, Berlin, Springer, 2010, 99–108.
  • Lorin de la Grandmaison, E., Bandrauk, A. D., « A Maxwell–Schrödinger-plasma model and computing aspects for intense, high frequency and ultrashort laser–gas interaction », in High Performance Computing Systems and Applications, 23rd International Symposium on High Performance Computing Systems and Applications — HPCS 2009 (Kingston, ON, 2009), D. J. K. Mewhart, N. M. Cann, G. W. Slater, T. J. Naughton, éd., Lecture Notes in Computer Science, Vol. 5976, Berlin, Springer, 2010, 70–75.
  • Penka Fowe, E., Bandrauk, A. D., « Nonlinear time-dependent density functional theory studies of ionization in CO$_2$ and N$_2$ by intense laser pulses and molecular orbital reconstruction », in High Performance Computing Systems and Applications, 23rd International Symposium on High Performance Computing Systems and Applications — HPCS 2009 (Kingston, ON, 2009), D. J. K. Mewhart, N. M. Cann, G. W. Slater, T. J. Naughton, éd., Lecture Notes in Computer Science, Vol. 5976, Berlin, Springer, 2010, 134–147.
Peter Bartello

Articles de revues avec comité de lecture:
  • Kafiabad, H. A., Bartello, P., « Balance dynamics in rotating stratified turbulence », Journal of Fluid Mechanics, 795 (mai 2016), 914–919.
  • Asselin, O., Bartello, P., Straub, D. N., « On quasigeostrophic dynamics near the tropopause », Physics of Fluids, 28:2 (février 2016), 026601, 14 p.
  • Bartello, P., Yau, M. K. P., Vaillancourt, P. A., Zwijsen, K., Chen, S., « Cloud droplet collisions in a turbulent environment: Collision statistics and parameterization », Journal of the Atmospheric Sciences, 73:8 (février 2016), 621–636.
  • Bartello, P., Tobias, S. M., « Sensitivity of stratified turbulence to the buoyancy Reynolds number », Journal of Fluid Mechanics, 725 (juin 2013), 1–22.
  • Devenish, B. J., Bartello, P., Brenguier, J., Collins, L. R., Grabowski, W., Ijzermans, R. H., Malinowski, S. P., Reeks, M., Vassilicos, J. C., Warhaft, Z., Wang, L.-P., « Droplet growth in warm turbulent clouds », Quaterly Journal of the Royal Meteorological Society, 138:667 (juillet 2012), Part B,1401–1429.
  • Bourqui, M., Bartello, P., Ait Chaalal, F., « Fast chemical reaction in two-dimensional navier-stokes flow: initial regime », Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, 85:4 (avril 2012), 046306, 12 p.
  • Bartello, P., Devenish, B. J., Haigh, J. D., Vassilicos, J. C., « Clouds and turbulence », Bulletin of the American Meteorological Society, 91:8 (août 2010), 1087–1089.
Actes de colloque avec comité de lecture:
  • Bartello, P., « Quasigeostrophic and stratified turbulence in the atmosphere », in IUTAM Symposium on Turbulence in the Atmosphere and Oceans, IUTAM Symposium on Turbulence in the Atmosphere and Oceans (Cambridge, 2008), D. Dritschel, éd., IUTAM Bookseries, Vol. 28, Dordrecht, Springer, 2010, 117–130.
Jacques Bélair

Chapitres de livres:
  • Wu, J., Campbell, S. A., Bélair, J., « Time-delayed neural networks: stability and oscillations », in Encyclopedia of Computational neuroscience, Dieter Jaeger, Ranu Jung, éd., New York, Springer, 2014.
Articles de revues avec comité de lecture:
  • Abdelrazec, A., Bélair, J., Shan, C., Zhu, H., « Modeling the spread and control of dengue with limited public health resources », Mathematical Biosciences, 271 (janvier 2016), 136–145.
  • Craig, M., Humphries, A. R., Nekka, F., Bélair, J., Li, J., Mackey, M. C., « Neutrophil dynamics during concurrent chemotherapy and G-CSF administration: Mathematical modelling guides dose optimisation to minimise neutropenia », Journal of Theoretical Biology, 385 (novembre 2015), 77–89.
  • Bélair, J., Yuan, Y., « Threshold dynamics in an SEIRS model with latency and temporary immunity », Journal of Mathematical Biology, 69:4 (octobre 2014), 875–904.
  • Yuan, Y., Bélair, J., « Stability and Hopf bifurcation for functional differential equations with distributed delay », SIAM Journal on Applied Dynamical Systems, 10:2 (2011), 551–581.
Actes de colloque avec comité de lecture:
  • Buono, L., Vinet, A., Bélair, J., « Bifurcation analysis of symmetrically coupled fast/slow systems », in International Conference on Applications in Nonlinear Dynamics (ICAND 2010), International Conference on Applications in Nonlinear Dynamics – ICAND 2010 (Lake Louise, AB, 2010), V. In, P. Longhini, A. Palacios, éd., AIP Conference Proceedings, Vol. 1339, Melvile, NY, Amer. Inst. Phys., 2011, 222–235.
Peter Edwin Caines

Chapitres de livres:
  • Caines, P., « Mean field games », in Encyclopedia of Systems and Control , Tariq Samad, John Baillieul, éd., Springer, Berlin, Springer, 2013.
  • Nourian, M., Caines, P., Malhamé, R., Huang, M., « Leader-follower cucker-smale type flocking synthesized via mean field stochastic control theory », in Brain, Body and Machine, Jorge Angeles, Benoit Boulet, James J. Clark, Jozsef Kövecses / Kaleem Siddiqi, éd., Advances in intelligent and soft computing Vol. 83, Berlin, Springer, 2010. Proceedings of an International Symposium on the Occasion of the 25th Anniversary of the McGill University Centre for Intelligent Machines
Articles de revues avec comité de lecture:
  • Nourian, M., Caines, P., Malhamé, R., Huang, M., « Mean field LQG control in leader-follower stochastic multi-agent systems: likelihood ratio based adaptation », IEEE Transactions on Automatic Control, 57:11 (novembre 57:11), 2801–2816.
  • Nourian, M., Caines, P., Malhamé, R., « A mean field game synthesis of initial mean consensus problems: A continuum approach for non-gaussian behavior », IEEE Transactions on Automatic Control, 59:2 (février 2014), 449–455.
  • Caines, P., Passenberg, B., Leibold, M., Stursberg, O., Buss, M., « Optimal control for hydrid systems with partitioned state space », IEEE Transactions on Automatic Control, 58:8 (août 2013), 2131–2136.
  • Nourian, M., Caines, P., « ε-Nash Mean Field Game Theory for Nonlinear Stochastic Dynamical Systems with Major and Minor Agents », SIAM Journal on Control and Optimization, 51:4 (août 2013), 3302–3331.
  • Taringoo, F., Caines, P., « On the optimal of impulsive hybrid systems on Riemannian Manifolds  », SIAM Journal on Control and Optimization, 51:4 (août 2013), 3127–3153.
  • Kizilkale, A. C., Caines, P., « Mean field stochastic adaptive control  », IEEE Transactions on Automatic Control, 58:4 (avril 2013), 905–920.
  • Nourian, M., Caines, P., Malhamé, R., Huang, M., « Nash, social and centralized solutions to consensus problems via mean field control theory », IEEE Transactions on Automatic Control, 58:3 (mars 2013), 639–653.
  • Jia, P., Caines, P., « Analysis of decentralized quantized autions on cooperative networks », IEEE Transactions on Automatic Control, 58:2 (février 2013), 529–534.
  • Caines, P., Ng Yow Thow, S., « On the continuity of optimal controls and value functions with respect to initial conditions », Systems & Control Letters, 61:12 (décembre 2012), 1294–1298.
  • Huang, M., Caines, P., Malhamé, R., « Social optima in mean field LQP control: centralized and descentralized strategies », IEEE Transactions on Automatic Control, 57:7 (juillet 2012), 1736–1751.
  • Taringoo, F., Caines, P., « Gradient geodesic and newton geodesic HMP algorithms for the optimization of hybrid systems », Annual Reviews in Control, 35:2 (décembre 2011), 187–198.
  • Taringoo, F., Caines, P., « Gradient geodesic and newton geodesic HMP algorithms for the optimization of hybrid systems », Annual Reviews in Control, 35:2 (décembre 2011), 187–198.
  • Nourian, M., Malhamé, R., Huang, M., Caines, P., « Mean field (NCE) formulation of estimation based learder-follower collective dynamics », International Journal of Robotics and Automation, 26:1 (2011), 120–129.
  • Huang, M., Caines, P., Malhamé, R., « The NCE (Mean Field) Principle with locality dependent cost interactions », IEEE Transactions on Automatic Control, 55:12 (décembre 2010), 2799–2805.
  • Ma, Z., Caines, P., Malhamé, R., « Control of admission and routing in loss networks: hybrid dynamic programming equations », IEEE Transactions on Automatic Control, 55:2 (février 2010), 350–366.
  • Jia, P., Caines, P., « Analysis of quantized double auctions application to competitive electricity markets », INFOR: Information Systems and Operational Research, 48:4 (2010), 239–250.
  • Jia, P., Caines, P., « Analysis of a class of decentralized dynamical systems: rapid convergence and efficiency of dynmical quantized auctions », IMA Journal of Mathematical Control and Information, 27:3 (2010), 329–372.
Actes de colloque avec comité de lecture:
  • Taringoo, F., Caines, P., « Newton-geodesic HMP algorithms for the optimization of hybrid systems and the geometric properties of hybrid value functions », in Annual Conference on Decision and Control (CDC), 51st IEEE Conference on Decision and Control Maui, HI, USA, IEEE, 2012, 4211–4216.
  • Kizilkale, A. C., Caines, P., « Emergence of coalitions in mean field stochastic systems », in Annual Conference on Decision and Control (CDC), 51st IEEE Conference on Decision and Control Maui, HI, USA, IEEE, 2012, 5768–5773.
  • Kizilkale, A. C., Caines, P., Mannor, S., « Large scale real-time bidding in the smart grid: a mean field framework », in Annual Conference on Decision and Control (CDC), 51st IEEE Conference on Decision and Control Maui, HI, USA, IEEE, 2012, 3680–3687.
  • Nourian, M., Caines, P., « e-Nash Mean Field Game Theory for Nonlinear Stochastic Dynamical Systems with Mixed Agents », in Annual Conference on Decision and Control (CDC), 51st IEEE Conference on Decision and Control Maui, HI, USA, IEEE, 2012, 2090–2095.
  • Gromov, D., Caines, P., « On the stability of interconnected thermodynamic systems with heat and work exchange », in American Control Conference (ACC), Proc. 2012 American Control Conference, IEEE, 2012, 386–391.
  • Taringoo, F., Caines, P., « On an extension of the hybrid minimum principle to systems on lie groups », in American Control Conference (ACC), Proc. 2012 American Control Conference, IEEE, 2012, 4534–4539.
  • Gromov, D., Caines, P., « Hybrid thermodynamic control systems with phase transitions », in Analysis and design of hybrid systems , 4th IFAC Conference on analysis and design of hybrid systems, Maurice Heemels, Bart De Schutter, Mircea Lazar, éd., IFAC, 2012, 277–283.
  • Nourian, M., Caines, P., Malhamé, R., « Mean field analysis of controlled cucker-smale type flocking: Linear analysis and perturbation equations », in Word Congress, Proceedings of the 18th IFAC World Congress, Sergio Bittanti, Angelo Cenedese, Sandro Zampieri, éd., 2011, 4471–4476.
  • Nourian, M., Caines, P., Malhamé, R., « Interconnection of thermodynamic control systems », in Word Congress, Proceedings of the 18th IFAC World Congress, 2011, 6091–6097.
  • Kizilkale, A. C., Caines, P., « Stochastic adaptive nash certainty equivalence control: population parameter distribution estimation  », in 49th Conference on Decision and Control (CDC), Proceedings of the 49th IEEE Conference on Decision and Control, Atlanta, Georgia, IEEE, 2010, 6169–6176.
  • Huang, M., Caines, P., Malhamé, R., « Social dynamics in mean field LQG control: egoistic and altruistic agents », in 49th Conference on Decision and Control (CDC), Proceedings of the 49th IEEE Conference on Decision and Control, Atlanta, Georgia, IEEE, 2010, 3140–3145.
  • Jia, P., Caines, P., « Analysis of decentralized decision proccesses in competitive markets: quantized single and double-sided auctions », in 49th Conference on Decision and Control (CDC), Proceedings of the 49th IEEE Conference on Decision and Control, Atlanta, Georgia, IEEE, 2010, 237–243.
  • Taringoo, F., Caines, P., « Gradient-geodesic HMP algorithms for the optimization of hybrid systems based on the geometry of switching manifolds », in 49th Conference on Decision and Control (CDC), Proceedings of the 49th IEEE Conference on Decision and Control, Atlanta, Georgia, IEEE, 2010, 1534–1539.
  • Passenberg, B., Sobotka, M., Stursberg, O., Buss, M., Caines, P., « An algorithm for discrete state sequence and trajectory optimization for hybrid systems with partitioned state space », in 49th Conference on Decision and Control (CDC), Proceedings of the 49th IEEE Conference on Decision and Control, Atlanta, Georgia, IEEE, 2010, 4223–4229.
  • Passenberg, B., Caines, P., Sobotka, M., Stursberg, O., Buss, M., « The minimum principle for hybrid systems with partitioned state space and unspecified discrete state sequence », in 49th IEEE Conference on Decision and Control (CDC), Proceedings of the 49th IEEE Conference on Decision and Control Atlanta, Georgia, 2010, 6666–6673.
  • Nourian, M., Caines, P., Malhamé, R., Huang, M., « A solution to the consensus problem via stochastic mean field control  », in Estimation and Control of Networked Systems, 2nd IFAC Workshop on Distributed Estimation and Control in Networked Systems, Carlos Canudas de Wit, Alexandre Seuret, éd., Annecy, France, Elsevier, 2010, 323–328.
  • Nourian, M., Caines, P., Malhamé, R., « Synthesis of cucker-smale type flocking via mean field stochastic control theory: nash equilibria », in Proceedings of the 48th Annual Allerton conference on communication, control and computing , 48th Annual Allerton conference on communication, control and computing Allerton, IL, IEEE, 2010, 814–819.
  • Taringoo, F., Caines, P., « On the geometry of switching manifolds for autonomous hydrid systems », in Discrete Event Systems, 10th International Workshop on Discrete Event Systems, Jorg Raisch, Alessandro Guia, Stephane Lafortune, Thomas Moor, éd., Berlin, Germany, Elsevier, 2010, 35–40.
  • Gromov, D., Caines, P., « Initial investigations of hybrid thermodynamic control systems with phase transitions », in Discrete Event Systems, 10th International Workshop on Discrete Event Systems, Jorg Raisch, Alessandro Guia, Stephane Lafortune, Thomas Moor, éd., Berlin, Germany, Elsevier, 2010, 53–58.
  • Kizilkale, A. C., Caines, P., « Stochastic adaptive nash certainty equivalence control: self-identification case », in Proceedings of the 19th international Symposium on Mathematical Theory of Networks and Systems, 19th international Symposium on Mathematical Theory of Networks and Systems, Budapest, Hungary, 2010, 2093–2099.
  • Taringoo, F., Caines, P., « On the geometry and deformation of switching manifolds for autonomous hybrid systems », in Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems , 19th International Symposium on Mathematical Theory of Networks and Systems, Budapest, Hungary, 2010, 761–766.
Actes de colloque sans comité de lecture:
  • Taringoo, F., Caines, P., « The exponential gradient HMP algorithm for the optimization of hybrid systems on lie groups analysis and design of hybrid systems », in Analayss and Design of Hybrid Systems, 4th IFAC Conference on Analysis and Design of Hybrid Systems Maurice Heemels, Bart De Schutter, Mircea Lazar, éd., 2012, 33–38.
  • Nourian, M., Caines, P., Malhamé, R., « An evolution mean field equation system of initial mean consensus behaviour: a stability analysis », in 50th IEEE Conference on decision and control and european control conference, Proc. 50th IEEE Conference on Decision and Control, Orlando, FL, IEEE, 2011, 5029–5034.
  • Nourian, M., Caines, P., Malhamé, R., « A solution to the initial mean consensus problem via a continuum based mean field control approach », in 50th IEEE Conference on decision and control and european control conference, Proc. 50th IEEE Conference on Decision and Control, Orlando, FL, IEEE, 2011, 5708–5713.
  • Kizilkale, A. C., Caines, P., « Mean field (NCE) stochastic control populations of major and egoist-altruist agents », in 50th IEEE Conference on decision and control and european control conference, Proc. 50th IEEE Conference on Decision and Control, Orlando, FL, IEEE, 2011, 5542–5552.
  • Gromov, D., Caines, P., « Stability of interconnected thermodynamic systems », in 50th IEEE Conference on decision and control and european control conference, Proc. 50th IEEE Conference on Decision and Control, Orlando, FL, IEEE, 2011, 6730–6735.
Xiao-Wen Chang

Articles de revues avec comité de lecture:
  • Yousefi, S., Chang, X.-W., Champagne, B., « Mobile localization in non-line-of-signt using constrained square-root unscented Kalman filter », IEEE Transactions on Vehicular Technology, 64:5 (mai 2015), 2071–2083.
  • Anjos, M. F., Chang, X.-W., Ku, W.-Y., « Lattice preconditioning for the real relaxation branch-and-bound approach for integer least squares problems », Journal of Global Optimization, 59:3 (juillet 2014), 227–242.
  • Al Borno, M., Chang, X.-W., Xie, X., « On “Decorrelation” in solving integer least-squares problems for ambiguity determination », Survey Review, 46:334 (janvier 2014), 37–49.
  • Chang, X.-W., Wen, J., Xie, X., « Effects of the LLL reduction on the success probability of the Babai point and on the complexity of sphere decoding », IEEE Transactions on Information Theory, 59:8 (août 2013), 4915–4926.
  • Chen, X., Chang, X.-W., Liu, X. S., « Adjustment for utilization control in distributed real-time embedded systems », IEEE Transactions on Parallel and Distributed Systems, 24:5 (mai 2013), 1052–1061.
  • Chang, X.-W., Stehlé, D., Villard, G., « Perturbation analysis of the QR factor R in the context of LLL lattice basis reduction », Mathematics of Computation, 81:279 (juillet 2012), 1487–1511.
  • Chang, X.-W., « On the perturbation of the Q-factor of the QR factorization », Numerical Linear Algebra with Applications, 19:3 (mai 2012), 607–619.
  • Chang, X.-W., Li, R.-C., « Multiplicative perturbation analysis for QR factorizaions », Numerical Algebra, Control and Optimization (NACO), 1:2 (juin 2011), 301–316.
  • Chang, X.-W., Stehlé, D., « Rigorous perturbation bounds of some Matrix factorizations », SIAM Journal on Matrix Analysis and Applications, 31:5 (2010), 2841–2859.
Actes de colloque avec comité de lecture:
  • Yousefi, S., Chang, X.-W., Champagne, B., « Distributed cooperative localization in wireless sensor networks without NLOS identification », in Proceedings of the 11th workshop on positioning navigation and communication 2014(WPNC’14), 2014, 6pp.
  • Yousefi, S., Chang, X.-W., Champagne, B., « An improved extended kalman filter for localization of a mobile node with NLOS anchors », in Proceedings of the ninth international conference on wireless and mobile communications (ICWMC2013), IARIA, 2013, 25–30.
  • Yousefi, S., Chang, X.-W., Champagne, B., « A joint localization and synchronization technique using time of arrival at mutiple antenna receivers », in Proceedings of 47Th Annual Asilomar Conference on Signals, Systems, and Computers (ASILOMAR 2013), California, IEEE, 2013, 2017–2021.
  • Chen, X., Liu, X. S., Wang, S., Chang, X.-W., « TailCon: Power-minimizing tail percentile control of response time in server clusters », in SRDS '12 Proceedings of the 2012 IEEE 31st Symposium on Reliable Distributed Systems, Washington, DC, IEEE Computer Society, 2012, 61–70.
Rustum Choksi

Articles de revues avec comité de lecture:
  • Larsson, L., Choksi, R., Nave, J.-C., « Geometric self-assembly of rigid shapes: a simple Voronoi approach », SIAM Journal on Applied Mathematics, 76:3 (2016), 1101–1125.
  • Shirokoff, D., Choksi, R., Nave, J.-C., « Sufficient conditions for global minimality of metastable states in a class of non-convex functionals: a simple approach via quadratic lower bounds », Journal of Nonlinear Science, 25:3 (juin 2015), 539–582.
  • Choksi, R., Topaloglu, I. A., Tsogtgerel, G., « Axisymmetric critical points of a nonlocal isoperimetric problem on the two-sphere », ESAIM. Control, Optimisation and Calculus of Variations, 21:1 (2015), 247–270.
  • Powers, L., Choksi, R., Nave, J.-C., « An iterative algorithm for computing measures of generalized voronoi regions », SIAM Journal on Scientific Computing, 36:2 (avril 2014), A792–A827.
  • Choksi, R., Fonseca, I., Zwicknagl, B., « A few remarks on variational models for denoising », Communications in Mathematical Sciences, 12:5 (2014), 843–857.
  • Choksi, R., Veneroni, M., « Global minimizers for the doubly-constrained Helfrich energy: the axisymmetric case », Calculus of Variations and Partial Differential Equations, 48:3-4 (novembre 2013), 337–366.
  • Choksi, R., Morandotti, M., Veneroni, M., « Global minimizers for axisymmetric multiphase membranes », ESAIM. Control, Optimisation and Calculus of Variations, 19:4 (octobre 2013), 1014–1029.
  • Choksi, R., « On global minimizers for a variational problem with long-range interactions », Quarterly of Applied Mathematics, 70:3 (septembre 2012), 517–537.
  • Choksi, R., van Gennip, Y., Oberman, A. M., « Anisotropic total variation regularized $L^1$ approximation and denoising/deblurring of 2D bar codes », Inverse Problems and Imaging, 5:3 (août 2011), 591–617.
  • Choksi, R., Peletier, M. A., « Small volume-fraction limit of the diblock copolymer problem: II. Diffuse-interface functional », SIAM Journal on Mathematical Analysis, 43:2 (2011), 739–763.
  • Choksi, R., Maras, M., Williams, J. F., « 2D phase diagram for minimizers of Cahn-Hilliard functional with long-range interactions », SIAM Journal on Applied Dynamical Systems, 10:4 (2011), 1344–1362.
  • Choksi, R., Peletier, M. A., « Small volume fraction limit of the diblock copolymer problem: I. Sharp-interface functional », SIAM Journal on Mathematical Analysis, 42:3 (2010), 1334–1370.
  • Choksi, R., van Gennip, Y., « Deblurring of one dimensional bar codes via total variation energy minimization  », SIAM Journal on Imaging Sciences, 3:4 (2010), 735–764.
Eusebius J. Doedel

Articles de revues avec comité de lecture:
  • Doedel, E. J., Pando Lambruschini, C. L., « Multiparameter bifurcations and mixed-mode oscillations in Q-switched CO2 lasers », Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, 89 (mai 2014), 052904, 17 p.
  • Volodymyr, R., Doedel, E. J., « Periodic orbits associated with the libration points of the massive rotating straight segment », International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 24:4 (avril 2014), 1430012, 15 p.
  • Dijkstra, H. A., Wubs, F. W., Cliffe, A. K., Doedel, E., Dragomirescu, I. F., Eckhardt, B., Gelfgat, A. Y., Hazel, A. L., Lucarini, V., Salinger, A., Phipps, E. T., Sanchez-Umbria, J., Schuttelaars, H., Tuckerman, L., Thiele, U., « Numerical bifucation methods and their application to fkuid dynamics: Analysis beyond simulation », Communications in Computational Physics, 15:1 (janvier 2014), 1–45.
  • Calleja, R., Doedel, E., Humphries, A. R., Lemus Rodriguez, A., Oldeman, B., « Boundary-value problem formulations for computing invariant manifolds and connecting orbits in the circular restricted three body problem », Celestial Mechanics and Dynamical Astronomy, 114:1-2 (octobre 2012), 77–106.
  • Volodymyr, R., Doedel, E., « Periodic orbits associated with the libration points of the homogeneus rotating gravitating triaxial ellipsoid  », International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 22:10 (octobre 2012), 1230035, 20 p.
  • Doedel, E., Pando Lambruschini, C. L., « Hysteresis of periodic and chaotic passive Q-switching self-pulsations in a molecular laser model, and the stark effect as a codimension- 2 parameter », International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 22:10 (octobre 2012), 1250238, 15 p.
  • Bakri, T., Kuznetsov, Y. A., Verhulst, F., Doedel, E., « Multiple solutions of a generalized singular perturbed bratu problem », International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 22:4 (avril 2012), 1250095, 10 p.
  • Doedel, E., Krauskopf, B., Osinga, H., « Global invariant manifolds in the transition to preturbulence in the Lorenz system », Indagationes Mathematicae. New Series, 22:3-4 (décembre 2011), 222–240.
  • Doedel, E., Pando Lambruschini, C. L., « Isolas of periodic passive Q-switching self-pulsations in the three-level: two-level model for a laser with a saturable absorber », Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, 84:5 (novembre 2011), 056207, 8 p.
  • Aguirre, P., Doedel, E., Krauskopf, B., Osinga, H., « Investigating the consequences of global bifurcations for two-dimensional invariant manifolds of vector fields », Discrete and Continuous Dynamical Systems. Series A, 29:4 (avril 2011), 1309–1344.
  • Doedel, E., Oldeman, B., Pando Lambruschini, C. L., « Bifurcation structures in a model of a CO2 laser with a fast saturable absorber », International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 21:1 (janvier 2011), 305–322.
Rapports de recherche:
  • Doedel, E. J., Krauskopf, B., Pando Lambruschini, C. L., « A numerical bifurcation study of a basic model of two coupled laserswith absorption », avril 2014, 9pp p.
Antony R. Humphries

Articles de revues avec comité de lecture:
  • Craig, M., Humphries, A. R., Mackey, M. C., « A mathematical model of granulopoiesis incorporating the negative feedback dynamics and kinetics of G-CSF/neutrophil binding and internalization », Bulletin of Mathematical Biology, 78:12 (décembre 2016), 2304–2357.
  • Humphries, A. R., Bernucci, D. A., Calleja, R. C., Homayounfar, N., Snarski, M., « Periodic solutions of a singularly perturbed delay differential equation with two state-dependent delays », Journal of Dynamics and Differential Equations, 28:3 (septembre 2016), 1215–1263.
  • Craig, M., Humphries, A. R., Nekka, F., Bélair, J., Li, J., Mackey, M. C., « Neutrophil dynamics during concurrent chemotherapy and G-CSF administration: Mathematical modelling guides dose optimisation to minimise neutropenia », Journal of Theoretical Biology, 385 (novembre 2015), 77–89.
  • Wall, E., Guichard, F., Humphries, A. R., « Synchronization in ecological systems by weak dispersal coupling with time delay », Theoretical Ecology, 6:4 (novembre 2013), 405–418.
  • Calleja, R., Doedel, E., Humphries, A. R., Lemus Rodriguez, A., Oldeman, B., « Boundary-value problem formulations for computing invariant manifolds and connecting orbits in the circular restricted three body problem », Celestial Mechanics and Dynamical Astronomy, 114:1-2 (octobre 2012), 77–106.
  • Humphries, A. R., DeMasi, O., Magpantay, F., Upham, F., « Dynamics of a delay differential equation with multiple state dependent delays », Discrete and Continuous Dynamical Systems. Series A, 32:8 (août 2012), 2701–2727.
  • De Luca, J., Humphries, A. R., Rodrigues, S. B., « Finite element boundary value integration of Wheeler–Feynman electrodynamics », Journal of Computational and Applied Mathematics, 236:13 (juillet 2012), 3319–3337.
  • Humphries, A. R., Moore, B. E., Van Vleck, E. S., « Front solutions for bistable differential-difference equations with inhomogeneous diffusion », SIAM Journal on Applied Mathematics, 71:4 (2011), 1374–1400.
  • De Luca, J., Guglielmi, N., Humphries, A. R., Politi, A., « Electromagnetic two-body problem: recurrent dynamics in the presence of state-dependent delay  », Journal of Physics A. Mathematical and Theoretical, 43:20 (avril 2010), 205103, 20 p.
Jean-Philippe Lessard

Articles de revues avec comité de lecture:
  • Correc, A., Lessard, J.-P., « Coexistence of nontrivial solutions of the one-dimensional Ginzburg–Landau equation: a computer-assisted proof », European Journal of Applied Mathematics, 26:1 (février 2015), 33–60.
  • Castelli, R., Lessard, J.-P., Mireles James, J. D., « Parameterization of invariant manifolds for periodic orbits. I. Efficient numerics via the Floquet normal forms », SIAM Journal on Applied Dynamical Systems, 14:1 (2015), 132–167.
  • Lessard, J.-P., Mireles-James, J. D., Reinhardt, C., « Computer assisted proof of transverse saddle-to-saddle connecting orbits for first order vector fields », Journal of Dynamics and Differential Equations, 26:2 (juin 2014), 267–313.
  • Lessard, J.-P., Reinhardt, C., « Rigorous numerics for nonlinear differential equations using Chebyshev series », SIAM Journal on Numerical Analysis, 52:1 (janvier 2014), 1–22.
  • Breden, M., Lessard, J.-P., Vanicat, M., « Global bifurcation diagram of steady states of systems of PDEs via rigorous numerics: a 3-component reaction-diffusion system », Acta Applicandae Mathematicae, 128 (décembre 2013), 113–152.
  • Gameiro, M., Lessard, J.-P., « Effcient rigorous numerics for high-dimensional PDEs via one-dimensional estimates », SIAM Journal on Numerical Analysis, 51:4 (juillet 2013), 2063–2087.
  • Castelli, R., Lessard, J.-P., « Rigorous numerics in Floquet theory: computing stable and unstable bundles of periodic orbits », SIAM Journal on Applied Dynamical Systems, 12:1 (février 2013), 204–245.
  • Castelli, R., Lessard, J.-P., « A method to rigorously enclose eigendecompositions of interval matrices », Applications of Mathematics (2013), 21–31.
  • Kiss, G., Lessard, J.-P., « Computational fixed-point theory for differential delay equations with multiple time lags », Journal of Differential Equations, 252:4 (février 2012), 3093–3115.
  • Gameiro, M., Lessard, J.-P., « Existence of secondary bifurcations or isolas for PDEs », Nonlinear Analysis. Theory, Methods & Applications, 74:12 (novembre 2011), 4131–4137.
  • Gameiro, M., Lessard, J.-P., « Rigorous computation of smooth branches of equilibria for the three dimensional Cahn–Hilliard equation », Numerische Mathematik, 117:4 (avril 2011), 753–778.
  • van den Berg, J. B., Mireles-James, J., Lessard, J.-P., Mischaikow, K., « Rigorous numerics for symmetric connecting orbits: even homoclinics of the Gray–Scott equation », SIAM Journal on Mathematical Analysis, 43:4 (2011), 1557–1594.
  • Gameiro, M., Lessard, J.-P., « Analytic estimates and rigorous continuation for equilibria of higher-dimensional PDEs », Journal of Differential Equations, 249:9 (novembre 2010), 2237–2268.
  • van den Berg, J. B., Lessard, J.-P., Mischaikow, K., « Global smooth solution curves using rigorous branch following », Mathematics of Computation, 79:271 (juillet 2010), 1565–1584.
  • Lessard, J.-P., « Recent advances about the uniqueness of the slowly oscillating periodic solutions of Wright's equation », Journal of Differential Equations, 248:5 (mars 2010), 992–1016.
Rapports de recherche:
  • Breden, M., Desvillettes, L., Lessard, J.-P., « Rigorous numerics for nonlinear operators with tridiagonal dominant linear parts », Université Laval, 2014, 24pp p.
  • Hungria, A., Lessard, J.-P., Mireles-James, J. D., « Rigorous numerics for analytic solutions of differential equations: the radii polynomial approach  », Université Laval, 2014, 30pp p.
Emmanuel Lorin de la Grandmaison

Monographies / Livres:
  • Bandrauk, A. D., Lorin de la Grandmaison, E., Moloney, J. V. (EDT), Laser Filamentation, CRM Series in Mathematical Physics, New York, Springer, 2016.
Articles de revues avec comité de lecture:
  • Fillion-Gourdeau, F., Lorin de la Grandmaison, E., Bandrauk, A. D., « Galerkin method for unsplit 3-D Dirac equation using atomically/kinetically balanced B-spline basis », Journal of Computational Physics, 307 (février 2016), 122–145.
  • Antoine, X., Lorin de la Grandmaison, E., Bandrauk, A. D., « Domain decomposition method and high-order absorbing boundary conditions for the numerical simulation of the time dependent Schrödinger equation with ionization and recombination by intense electric field », Journal of Scientific Computing, 64:3 (septembre 2015), 620–646.
  • Lorin de la Grandmaison, E., Lytova, M., Memarian, A., Bandrauk, A. D., « Development of nonperturbative nonlinear optics models including effects of high order nonlinearities and of free electron plasma: Maxwell-Schrödinger equations coupled with evolution equation for polarization effects, and the SFA-like nonlinear optics model », Journal of Physics A. Mathematical and Theoretical, 48:10 (2015), 105201, 47 p.
  • Antoine, X., Lorin de la Grandmaison, E., Sater, J., Fillion-Gourdeau, F., Bandrauk, A. D., « Absorbing boundary conditions for relativistic quantum mechanics equations », Journal of Computational Physics, 277:15 (novembre 2014), 268–304.
  • Fillion-Gourdeau, F., Lorin de la Grandmaison, E., Bandrauk, A. D., « A split-step numerical method for the time-dependent Dirac equation in 3-D axisymmetric geometry », Journal of Computational Physics, 272 (septembre 2014), 559–587.
  • Turbis, P., Lorin de la Grandmaison, E., Cournoyer, A., « Optimization of the temporal shape of laser pulses for ablation », Applied Mathematics Research eXpress, 2014:2 (mars 2014), 244–274.
  • Chakraborty, D., Jung, J.-H., Lorin de la Grandmaison, E., « An effcient determination of critical parameters of nonlinear Schrödinger equation with a point-like potential using generalized polynomial chaos methods  », Applied Numerical Mathematics, 72 (octobre 2013), 115–130.
  • Fillion-Gourdeau, F., Lorin de la Grandmaison, E., Bandrauk, A. D., « Enhanced schwinger pair production in many-centre systems », Journal of Physics B. Atomic, Molecular and Optical Physics, 46:17 (août 2013), 175002, 12 p.
  • Bandrauk, A. D., Fillion-Gourdeau, F., Lorin de la Grandmaison, E., « Atoms and molecules in intense laser fields: gauge invariance of theory and models », Journal of Physics B. Atomic, Molecular and Optical Physics, 46:15 (juillet 2013), 153001, 33 p.
  • Fillion-Gourdeau, F., Lorin de la Grandmaison, E., Bandrauk, A. D., « New mechanism for the generation of electron-positron pairs in laser-matter interaction: resonantly enhanced pair production in a moleculat system », Journal of Physics. Conference Series, 414:1 (juin 2013), 012013, 10 p. 21st International Laser Physics Workshop
  • Köhler, C., Guichard, R., Lorin de la Grandmaison, E., Chelkowski, S., Bandrauk, A. D., Bergé, L., Skupin, S., « On the saturation of the nonlinear refractive index in atomic gases », Physical Review A. Atomic, Molecular, and Optical Physics, 87:4 (avril 2013), 043811, 9 p.
  • Köhler, C., Lorin de la Grandmaison, E., Chelkowski, S., Bandrauk, A. D., Bergé, L., Skupin, S., « Saturation of the nonlinear refractive index atomic gases », Physical Review A. Atomic, Molecular, and Optical Physics, 87 (avril 2013), 043811, 9 p.
  • Fillion-Gourdeau, F., Lorin de la Grandmaison, E., Bandrauk, A. D., « Resonantly enhanced pair production in a simple diatomic model », Physical Review Letters, 110:1 (janvier 2013), 013002, 5 p.
  • Chalmers, N., Lorin de la Grandmaison, E., « On the numerical approximation of one-dimensional nonconservative hyperbolic systems », Journal of Computational Science, 4:1-2, Computational Methods for Hyperbolic Problems (2013), 111–124.
  • Fillion-Gourdeau, F., Lorin de la Grandmaison, E., Bandrauk, A. D., « Landau–Zener–Stückelberg interferometry in pair production from counterpropagating lasers », Physical Review A. Atomic, Molecular, and Optical Physics, 86:3 (septembre 2012), 032118, 10 p.
  • Fillion-Gourdeau, F., Lorin de la Grandmaison, E., Bandrauk, A. D., « Numerical solution of the time-dependent Dirac equation in coordinate space without fermion-doubling », Computer Physics Communications, 183:7 (juillet 2012), 1403–1415.
  • Fillion-Gourdeau, F., Lorin de la Grandmaison, E., Bandrauk, A. D., « Relativistic Stark resonances in a simple exactly soluble model for a diatomic molecule », Journal of Physics A. Mathematical and Theoretical, 45:21 (juin 2012), 215304, 21 p.
  • Lorin de la Grandmaison, E., Chelkowski, S., Zaoui, E. M., Bandrauk, A. D., « Maxwell–Schrödinger–Plasma (MASP) model for laser–molecule interactions: Towards an understanding of filamentation with intense ultrashort pulses », Physica D. Nonlinear Phenomena, 241:12 (juin 2012), 1059–1071.
  • Lorin de la Grandmaison, E., Bandrauk, A. D., « Efficient and accurate numerical modeling of a micro-macro nonlinear optics model for intense and short laser pulses », Journal of Computational Science, 3:3, Scientific Computation Methods and Applications (mai 2012), 159–168.
  • Fillion-Gourdeau, F., Lorin de la Grandmaison, E., Bandrauk, A. D., « Relativistic groud state of diatomic molecules from the numerical solution of the Dirac equation on parallel computers », Journal of Physics. Conference Series, 341:1 (mars 2012), 012006, 10 p. High performance computing symposium
  • Fillion-Gourdeau, F., Lorin de la Grandmaison, E., Bandrauk, A. D., « Numerical solution of the time-independent Dirac equation for diatomic molecules: $B$ splines without spurious states », Physical Review A. Atomic, Molecular, and Optical Physics, 85:2 (février 2012), 022506, 12 p.
  • Lorin de la Grandmaison, E., Bandrauk, A. D., « A simple and accurate mixed $P^0$–$Q^1$ solver for the Maxwell–Dirac equations », Nonlinear Analysis. Real World Applications, 12:1 (février 2011), 190–202.
  • Lorin de la Grandmaison, E., Chelkowski, S., Bandrauk, A. D., « The WASP model: A micro-macro system of wave-Schrödinger-plasma equations for filamentation », Communications in Computational Physics, 9:2 (août 2010), 406–440. soumis en 2009
  • Lorin de la Grandmaison, E., Bandrauk, A. D., « Multiresolution scheme for time-dependent Schrödinger equation », Computer Physics Communications, 181:3 (mars 2010), 626–638.
Actes de colloque avec comité de lecture:
  • Lorin de la Grandmaison, E., Lytova, M., Bandrauk, A. D., « Nonperturbative nonlinear Maxwell–Schrödinger models for intense laser pulse propagation », in Laser Filamentation, Workshop on Mathematical Methods and Models in Laser Filamentation (Montréal, 2014), A. D. Bandrauk, E Lorin, J. V. Moloney, éd., CRM Series in Mathematical Physics, New York, Springer, 2016, 167–183.
  • Fillion-Gourdeau, F., Lorin de la Grandmaison, E., Bandrauk, A. D., « Avoiding the coordinate singularity problem in the numerical solution of the Dirac equation in cylindrical coordinates  », in Interdisciplinary Topics in Applied Mathematics, Modeling and Computational Science, M. G. Cojocaru, I. S. Kotsireas, R. N. Makarov, R. V. N. Melnik, H. Shodiev, éd., Springer Proceedings in Mathematics & Statistics, Vol. 117, Springer, 2015, 211–217.
  • Fillion-Gourdeau, F., Lorin de la Grandmaison, E., Bandrauk, A. D., « Numerical solution of the Dirac equation and application in lase-matter interaction », in Advances in Mathematical and Computational Methods: Addressing Modern Challenges of Science, Technology, and Society, I. Kotsireas, R. Melnik, B. West, éd., AIP Conference Proceedings, Vol. 1368, Melvile, NY, Amer. Inst. Phys., 2012, 13–16.
  • Lorin de la Grandmaison, E., Bandrauk, A. D., « A Maxwell–Schrödinger-plasma model and computing aspects for intense, high frequency and ultrashort laser–gas interaction », in High Performance Computing Systems and Applications, 23rd International Symposium on High Performance Computing Systems and Applications — HPCS 2009 (Kingston, ON, 2009), D. J. K. Mewhart, N. M. Cann, G. W. Slater, T. J. Naughton, éd., Lecture Notes in Computer Science, Vol. 5976, Berlin, Springer, 2010, 70–75.
Rapports de recherche:
  • Marcotte, O., Huang, H., Lorin de la Grandmaison, E., « Comptes rendus du Quatrième atelier de résolution de problèmes industriels de Montréal / Proceedings of the
    Fourth Montreal Industrial Problem Solving Workshop », Centre de recherches mathématiques, CRM-3327, avril 2013.
Sherwin A. Maslowe

Chapitres de livres:
  • Maslowe, S. A., « Evolution equations for finite amplitude waves in parallel shear flows », in Nonlinear Physical Systems: Spectral Analysis, Stability and Bifurcations, Oleg N. Kirillov, Dmitry E. Pelinovsky, éd., Wiley, 2014.
Articles de revues avec comité de lecture:
  • Feys, J., Maslowe, S. A., « Linear stability of the moore-saffman model for a trailing wingtip vortex », Physics of Fluids, 26 (2014), 15p.024108.
  • Maslowe, S. A., Spiteri, R. J., « A study of singular modes associated with over-reflection and related phenomena », Journal of Fluid Mechanics, 728 (juillet 2013), 120–145.
  • Feys, J., Maslowe, S. A., « Long nonlinear surface waves in the presence of a variable current », Studies in Applied Mathematics, 126:3 (avril 2011), 303–318.
Jean-Christophe Nave

Articles de revues avec comité de lecture:
  • Kolomenskiy, D., Nave, J.-C., Schneider, K., « Adaptive gradient-augmented level set method with multiresolution error estimation », Journal of Scientific Computing, 66:1 (janvier 2016), 116–140.
  • Larsson, L., Choksi, R., Nave, J.-C., « Geometric self-assembly of rigid shapes: a simple Voronoi approach », SIAM Journal on Applied Mathematics, 76:3 (2016), 1101–1125.
  • Shirokoff, D., Choksi, R., Nave, J.-C., « Sufficient conditions for global minimality of metastable states in a class of non-convex functionals: a simple approach via quadratic lower bounds », Journal of Nonlinear Science, 25:3 (juin 2015), 539–582.
  • Shirokoff, D., Nave, J.-C., « A Sharp-Interface Active Penalty Method for the Incompressible Navier-Stokes Equations », Journal of Scientific Computing, 62:1 (janvier 2015), 53–77.
  • Bihlo, A., Nave, J.-C., « Convecting reference frames and invariant numerical models », Journal of Computational Physics, 272 (septembre 2014), 656–663.
  • Powers, L., Choksi, R., Nave, J.-C., « An iterative algorithm for computing measures of generalized voronoi regions », SIAM Journal on Scientific Computing, 36:2 (avril 2014), A792–A827.
  • Kohno, H., Nave, J.-C., « A new method for the level set equation using a hierarchical-gradient truncation and remapping technique », Computer Physics Communications, 184:6 (juin 2013), 1547–1554.
  • Bihlo, A., Nave, J.-C., « Invariant discretization schemes using evolution projection techniques », SIGMA. Symmetry, Integrability and Geometry. Methods and Applications, 9 (2013), Article 052, 23 p.
  • Kamrin, K., Rycroft, C. H., Nave, J.-C., « Reference map technique for finite-strain elasticity and fluid-solid interaction », Journal of the Mechanics and Physics of Solids, 60:11 (novembre 2012), 1952–1969.
  • Seibold, B., Rosales, R. R., Nave, J.-C., « Jet schemes for advection problems », Discrete and Continuous Dynamical Systems. Series B, 17:4 (juin 2012), 1229–1259.
  • Chidyagwai, P., Nave, J.-C., Rosales, R. R., Seibold, B., « A comparative study of the efficiency of jet schemes », International Journal of Numerical Analysis and Modeling, Series B, 3:3 (avril 2012), 297–306.
  • Liang, X., Deng, D., Nave, J.-C., Johnson, S. G., « Linear stability analysis of capillary instabilities for concentric cylindrical shells », Journal of Fluid Mechanics, 683 (septembre 2011), 235–262.
  • Marques, A. N., Nave, J.-C., Rosales, R. R., « A Correction function method for poisson problems with interface jump conditions », Journal of Computational Physics, 230:20 (août 2011), 7567–7597.
  • Slocum, A. H., Codd, D. S., Buongiorno, J., Forsberg, C., McKrell, T., Nave, J.-C., Papanicolas, C. N., Ghobeity, A., Noone, C. J., Passerini, S., Rojas, F., Mitsos, A., « Concentrated solar power on demand », Solar Energy, 85:7 (juillet 2011), 1519–1529.
  • Deng, D., Nave, J.-C., Johnson, S. G., Fink, Y., Liang, X., « Exploration of in-fiber nanostructures from capillary instability », Optics Express, 19:17 (2011), 16273–16290.
  • Nave, J.-C., Liu, X.-D., Banerjee, S., « Direct numerical simulation of liquid films with large interfacial deformation », Studies in Applied Mathematics, 125:2 (août 2010), 153–177.
  • Nave, J.-C., Rosales, R. R., Seibold, B., « A gradient-augmented level set method with an optimally local, coherent advection scheme », Journal of Computational Physics, 229:10 (mai 2010), 3802–3827.
Rapports de recherche:
  • Marques, A. N., Nave, J.-C., Rosales, R. R., « Fast and accurate solution of the Poisson equation in an immersed setting », McGill, arXiv:1401.8084, janvier 2014.
  • Mercier, O., Nave, J.-C., « The characteristic mapping method for the linear advection of arbitrary sets », McGill, arXiv:1309.2731, septembre 2013, 20pp p.
Adam M. Oberman

Articles de revues avec comité de lecture:
  • Benamou, J.-D., Froese, B. D., Oberman, A. M., « Numerical solution of the optimal transportation problem via viscosity solutions for the Monge–Ampère equation », Journal of Computational Physics, 260 (août 2014), 107–126.
  • Huang, Y., Oberman, A. M., « Numerical methods for the fractional laplacian: a finite difference-quadrature approach », SIAM Journal on Numerical Analysis, 52:6 (2014), 3059–3084.
  • Oberman, A. M., « Finite difference methods for the infinity Laplace and $p$-Laplace equations », Journal of Computational and Applied Mathematics, 254 (décembre 2013), 65–80.
  • Froese, B. D., Oberman, A. M., « Convergent filtered schemes for the Monge–Ampère partial differential equation », SIAM Journal on Numerical Analysis, 51:1 (avril 2013), 423–444.
  • Oberman, A. M., « A numerical method for variational problems with convexity constraints », SIAM Journal on Scientific Computing, 35:1 (janvier 2013), A378–A396.
  • Froese, B. D., Oberman, A. M., « Convergent finite difference solvers for viscosity solutions solutions of the elliptic Monge–Ampère equation in dimensions two and higher », SIAM Journal on Numerical Analysis, 49:4 (2012), 1692–1714.
  • Oberman, A. M., Sylvestre, L., « The Dirichlet problem for the convex envelope », Transactions of the American Mathematical Society, 363:11 (novembre 2011), 5871–5886.
  • Oberman, A. M., Osher, S., Takei, R., Tsai, R., « Numerical methods for anisotropic mean curvature flow based on a discrete time variational formulation », Communications in Mathematical Sciences, 9:3 (septembre 2011), 637–662.
  • Choksi, R., van Gennip, Y., Oberman, A. M., « Anisotropic total variation regularized $L^1$ approximation and denoising/deblurring of 2D bar codes », Inverse Problems and Imaging, 5:3 (août 2011), 591–617.
  • Froese, B. D., Oberman, A. M., « Fast finite difference solvers for singular solutions of the elliptic Monge–Ampère equation », Journal of Computational Physics, 230:3 (février 2011), 818–834.
  • Benamou, J.-D., Froese, B. D., Oberman, A. M., « Two numerical methods for the elliptic Monge–Ampère equation », M2AN. Mathematical Modelling and Numerical Analysis, 44:4 (juillet 2010), 737–758.
  • Oberman, A. M., « Convergence rates for difference schemes for polyhedral nonlinear parabolic equations », Journal of Computational Mathematics, 28:4 (juillet 2010), 474–488.
Rapports de recherche:
  • Carlier, G., Oberman, A. M., Oudet, E., « Numerical methods for matching for teams and Wasserstein barycenters », arXiv:1411.3602, 2014.
  • Manfredi, J. J., Oberman, A. M., Svirodov, A. P., « Nonlinear elliptic Partial Differential Equations and p-harmonic functions on graphs », arXiv:1212.0834, décembre 2012.
  • Benamou, J.-D., Froese, B. D., Oberman, A. M., « Numerical solution of the optimal transportation problem using the Monge–Ampère equation », arXiv:1208.4870, août 2012.
Robert G. Owens

Chapitres de livres:
  • Owens, R. G., Phillips, T. N., Lozinski, A., « The Langevin and Fokker–Planck equations in polymer rheology », in Numerical Methods in Non-Newtonian Fluid Mechanics, R. Glowinski, J. J. Xu, éd., Handbook of Numerical Analysis, Vol. 16, Elsevier, 2011.
Articles de revues avec comité de lecture:
  • Tawfik, Y., Owens, R. G., « A mathematical and numerical investigation of the hemodynamical origins of oscillations in microvascular networks », Bulletin of Mathematical Biology, 75:4 (avril 2013), 676–707.
  • Noutcheuwa, R. K., Owens, R. G., « A new incompressible particle hydrodynamics-immersed boundary method », International Journal of Numerical Analysis and Modeling, Series B, 3:2 (2012), 126–167.
  • Noutcheuwa, R. K., Owens, R. G., « A mixed Brownian dynamics — SPH method for the simulation of flows of suspension of bead-spring chains is confined geometries with hydrodynamic interaction », Journal of Non-Newtonian Fluid Mechanics, 166:23-24 (décembre 2011), 1327–1346.
  • Lozinski, A., Owens, R. G., « Some remarks on the equivalence of Kirkwood's diffusion equation and the coupled fluctuating polymer and solvent kinetic equations of Oono and Freed. », Journal of Non-Newtonian Fluid Mechanics, 166:21-22 (novembre 2011), 1297–1303.
  • Iolov, A., Bourgault, Y., Owens, R. G., Fortin, A., Kane, A. S., « A finite element method for a microstructure-based model of blood », International Journal for Numerical Methods in Biomedical Engineering, 27:9 (septembre 2011), 1321–1349.
  • Iolov, A., Kane, A. S., Bourgault, Y., Owens, R. G., Fortin, A., « A finite element methods for a microstructure-based model of blood », International Journal for Numerical Methods in Biomedical Engineering, 27:9 (septembre 2011), 1321–1349.
  • Degond, P., Lozinski, A., Owens, R. G., « Kinetic models for dilute solutions of dumbbells in non-homogeneous flows revisited », Journal of Non-Newtonian Fluid Mechanics, 165:9-10 (mai 2010), 509–518.
  • Moyers-Gonzalez, M. A., Owens, R. G., « Mathematical modelling of the cell-depleted peripheral layer in the steady flow of blood in a tube », Biorheology, 47:1 (2010), 39–71.
Actes de colloque avec comité de lecture:
  • Kane, A. S., Bourgault, Y., Iolov, A., Owens, R. G., Fortin, A., « Computation of blood flows accounting for red-blood cell aggregation/fragmentation », in Proceedings of the Seventh International Symposium on Turbulence and Shear Flow Phenomena, Seventh International Symposium on Turbulence and Shear Flow Phenomena — TSFP-7 (Ottawa, ON, 2011), 2011.
Bruce Shepherd

Chapitres de livres:
  • Chekuri, C., Naves, G., Shepherd, B., « Maximum edge-disjoint paths in k-sums of graphs », in Automata, languages, and programming, Fedor V. Fomin, Rusins Freivalds, Marta Kwuiùtkowska, David Peleg, éd., Lecture Notes in Computer Science, Vol. 7965, Berlin, Springer, 2013. 40th International Colloquium, ICALP 2013, Riga, Latvia, July 8-12, 2013, Proceedings, Part I
  • Jain, N., Menache, I., Naor, S., Shepherd, B., « Topology-aware VM migration in bandwidth oversubcribed datacenter networks », in Automata, languages and programming, Artur Czumaj, Kurt Mehlhorn, Andrew Pitts, Roger Wattenhofer, éd., Lecture Notes in Computer Science, Vol. 7392, Berlin, Springer, 2012. 39th International Colloquium, ICALP 2012; Warwick, UK, July 2012; proceedings, part II
Articles de revues avec comité de lecture:
  • Frechette, A., Shepherd, B., Thottan, M. K., Winzer, P. J., « Shortest path versus multi-hub routing in networks with uncertain demand », IEEE/ACM Transaction on Networking, PP:99 (octobre 2014), 13 p.
  • Chekuri, C., Khanna, S., Shepherd, B., « The all-nothing multicommodity flow problem », SIAM Journal on Computing, 42:4 (juillet 2013), 1467–1493.
  • Goyal, N., Olver, N., Shepherd, B., « The VPN conjecture is true », Journal of the ACM, 60:3, Art.17 (juin 2013), 17 p.
  • Chekuri, C., Shepherd, B., Weibel, C., « Flow-cut gaps for integer and fractional multiflows », Journal of Combinatorial Theory. Series B, 103:2 (mars 2013), 248–273.
  • Anshelevich, E., Shepherd, B., Wilfong, G., « Strategic network formation through peering and service agreements », Games and Economic Behavior, 73-1 (septembre 2011), 17–38.
  • Chekuri, C., Antonakopoulos, S., Zhang, L., Shepherd, B., « Buy-at-bulk network design with protection », Mathematics of operations research 36:1 (février 2011), 71–87.
Actes de colloque avec comité de lecture:
  • Azar, Y., Kamara, S., Menache, I., Raykova, M., Shepherd, B., « Co-location-resistant clouds », in Proceedings of the 6th edition of the ACM Workshop on Cloud Computing Security, 21st ACM Conference on Computer and Communications Security, New York, ACM, 2014, 9–20.
  • Azar, Y., Reuven Cohen, I., Kamara, S., Shepherd, B., « Tight bounds for online vector bin packing », in Symposium on theory of computing conference, STOC’13, Palo Alto, CA, USA, June 1-4, STOC ACM symposium on theory of computing, Dan Boneh, Tim Roughgarden, Joan Feigenbaum, éd., ACM International Conference Proceeding Series, Vol. 45, New York, ACM, 2013, 961–970.
  • Séguin-Charbonneau, L., Shepherd, B., « Maximum edge-disjoint paths in planar graphs with congestions 2 », in Foundations of computer science, IEEE annual symposium, 52nd 2011., 2011 IEEE 52nd Annual symposium on foundations of computer science, Proceedings - Foundations of Computer Science, Los Alamitos. CA, IEEE Comput. Soc., 2011, 200–209. CFP11053-PRT
Gantumur Tsogtgerel

Articles de revues avec comité de lecture:
  • Choksi, R., Topaloglu, I. A., Tsogtgerel, G., « Axisymmetric critical points of a nonlocal isoperimetric problem on the two-sphere », ESAIM. Control, Optimisation and Calculus of Variations, 21:1 (2015), 247–270.
  • Arnold, D. N., Falk, R. S., Guzman, J., Tsogtgerel, G., « On the consistency of the combinatorial codifferential », Transactions of the American Mathematical Society, 366:10 (octobre 2014), 5487–5502.
  • Holst, M., Tsogtgerel, G., « The lichnerowicz equation on compact manifolds with boundary », Classical and Quantum Gravity, 30:20 (octobre 2013), 205011, 31 p.
  • Tsogtgerel, G., « Adaptive boundary element methods with convergence rates », Numerische Mathematik, 124:3 (juillet 2013), 471–516.
  • Holst, M., Lunasin, E., Tsogtgerel, G., « Analysis of the general family of regularized navier-stokes and magnetohydrodynamics models », Journal of Nonlinear Science, 20:5 (octobre 2010), 523–567.
Rapports de recherche:
  • Tsogtgerel, G., « Convergence rates of adaptive methods, Besov spaces, and multilevel approximation », arXiv:1408.3889, 2014, 48pp p.
  • Tsogtgerel, G., « On the convergence theory of adaptive mixed element methods for the Stokes problem », arXiv:1403.0895, 2014, 24pp p.
  • Holst, M., Tsogtgerel, G., Zhu, Y., « Local convergence of adaptive methods for nonlinear partial differential equations  », arXiv:1001.1382, janvier 2010, soumis.
Adrian Vetta

Chapitres de livres:
  • Laekhanukit, B., Naves, G., Vetta, A., « Non-redistributive second welfare theorems », in Internet and network economics, Paul W. Goldberg, éd., Lecture Notes in Computer Science, Vol. 7695, Berlin, Springer, 2012. 8th International Workshop, WINE 2012, Liverpool, UK, December 10-12, 2012. Proceedings
  • Mirrokni, V. S., Thain, N., Vetta, A., « A theoretical examination of practical game playing: lookahead search », in Algorithmic Game Theory, Maria Serna, éd., Lecture Notes in Computer Science, Vol. 7615, Berlin, Springer, 2012. 5th International Symposium, SAGT 2012, Barcelona Spain, October 22-23, 2012 Proceedings
  • Laekhanukit, B., Vetta, A., Wilfong, G., « Routing regardless of network stability », in Algorithms - ESA 2012, Leah Epstein, Paolo Ferragina, éd., Lecture Notes in Computer Science, Vol. 7501, Berlin, Springer, 2012. 20th Annual European Symposium, Ljubjana, Slovenia, September 10-12, 2012. Proceedings
  • Kuleshov, V., Vetta, A., « On the efficiency of markets with two-sided proportional allocation mechanisms », in Algorithmic game theory , Spyros Kontogiannis, Elias Koutsoupias, Paul G. Spirakis, éd., Lecture Notes in Computer Science, Vol. 6386, Berlin, Springer, 2010. Third International Symposium, SAGT 2010, Athens, Greece, October 18-20, 2010. Proceedings
  • Naves, G., Sonnerat, N., Vetta, A., « Maximum flows on disjoint paths », in Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques , Maria Serna, Ronen Shaltiel, Klaus Jansen, José Rolim, éd., Lecture Notes in Computer Science, Vol. 6302, Berlin, Springer, 2010. 13th International Workshop, APPROX 2010, and 14th International Workshop, RANDOM 2010, Barcelona, Spain, September 1-3, 2010. Proceedings
Articles de revues avec comité de lecture:
  • Li, Z., Narayanan, M., Vetta, A., « The complexity of the simultaneaous cluster problem  », Journal of Graph Algorithms and Applications, 18:1 (2014), 1–34.
  • Kim, E., Sabharwal, A., Vetta, A., Blanchette, M., « Predicting direct protein interactions from affinity purification mass spectrometry data », Algorithms for Molecular Biology, 5:34 (octobre 2010), 17 p.
  • Drescher, M., Vetta, A., « An approximation algorithm for the maximum leaf spanning arborescence problem  », Journal ACM Transaction On Algorithms (TALG), 6:3, Art.46 (juin 2010), 18 p.
  • Narayanan, M., Vetta, A., Schadt, E. E., Zhu, J., « Simultaneous clustering of multiple gene expression and physical interaction datasets », PLoS Computational Biology, 6:4 (avril 2010), e1000742, 13 p.
  • Zhentao, L., Vetta, A., « Bounds on the cleaning times of robot vacuums », Operations Research Letters, 38:1 (janvier 2010), 69–71.
  • Sonnerat, N., Vetta, A., « Galaxy cutsets in graphs », Journal of Combinatorial Optimization, 19:3 (2010), 415–427.
Actes de colloque avec comité de lecture:
  • Alkalay-Houlihan, C., Vetta, A., « False-name bidding and economic efficiency in combinatorial auctions », Proceedings of the Twenty-Eighth AAAI Conference on Artificial Intelligence, 2014, 538–544. https://www.aaai.org/ocs/index.php/AAAI/AAAI14/paper/view/8572/8467
  • Anbalagan, Y., Norin, S., Savani, R., Vetta, A., « Polylogarithmic supports are required for approximate well-supported nash equilibria below 2/3 », in Web and Internet Economics, 9th International Conference, WINE 2013, Cambridge, MA, USA, December 11-14, 2013, Proceedings, Yiling Chen, NIcoles Immorlica, éd., Lecture Notes in Computer Science, Vol. 8289, Berlin, Springer, 2013, 15–23.
  • Cheriyan, J., Laekhanukit, B., Naves, G., Vetta, A., « Approximating rooted steiner networks », in Proceeding of the Twenty-Third Annual ACM-SIAM Symposium on Discrete Algorithms, 23rd Symposia on Discrete Algorithms — SODA12 (Kyoto, 2012), Yuval Rabani, éd., Philadelphia, PA, SIAM, 2012, 1499–1511.
  • Blanchette, M., Kim, E., Vetta, A., « Clique cover on sparse networks », in 2012 Proceedings of the Fourteenth Workshop on Algorithm Engineering and Experiments (ALENEX), Meeting on Algorithm Engineering & Experiments — ALENEX12 (Kyoto, 2012), David A. Bader, Dort Mutzel, éd., Philadelphia, PA, SIAM, 2012, 93–102.
Jian-Jun Xu

Articles de revues avec comité de lecture:
  • Xu, J.-J., Tan, X., Zhang, R., « A note on Phillips(1991): “ A constrained maximum likelihood approach to estimating switching regressions” », Journal of Econometrics, 154:1 (janvier 2010), 35–41.
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