Recent publications

Recent Publications (since 2012)

Note: the researchers’ personal web page may contain more recent publications.
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André D. Bandrauk (Université de Sherbrooke)
Peter Bartello (McGill University)
Jacques Bélair (Université de Montréal)
Peter Edwin Caines (McGill University)
Xiao-Wen Chang (McGill University)
Rustum Choksi (McGill University)
Antony R. Humphries (McGill University)
Jean-Philippe Lessard (McGill University)
Jean-Christophe Nave (McGill University)
Adam M. Oberman (McGill University)
Robert G. Owens (Université de Montréal)
Gantumur Tsogtgerel (McGill University)
Adrian Vetta (McGill University)

André D. Bandrauk

Monographs and books:

Bandrauk, A. D., Lorin de la Grandmaison, E., Moloney, J. V. (EDT), Laser Filamentation, CRM Series in Mathematical Physics, New York, Springer, 2016.

Book chapters:

Bandrauk, A. D., Mauger, F., Yuan, K.-J., « Molecules in bichromatic circularly polarized laser pulses: Electron recollision and harmonic generation », in Progress in Ultrafast Intense Laser Science XIII, K. Yamanouchi, W. T. Hill, III, G. G. Paulus, éd., Springer Series in Chemical Physics, Cham, Springer, 2017.
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.

Peer-reviewed journal articles:

Chelkowski, S., Bandrauk, A. D., « Photon-momentum transfer in molecular photoionization », Physical Review A. Atomic, Molecular, and Optical Physics, 97:5 (mai 2018), 53401, 8 p.
Yuan, K.-J., Bandrauk, A. D., « Symmetry in circularly polarized molecular high-order harmonic generation with intense bicircular laser pulses », Physical Review A. Atomic, Molecular, and Optical Physics, 97:2 (février 2018), 23408, 10 p.
Lytova, M., Lorin de la Grandmaison, E., Bandrauk, A. D., « Nonlinear nonperturbative optics model enriched by evolution equation for polarization », Multiscale Modeling & Simulations, 16:3 (2018), 1175–1205.
Bandrauk, A. D., Guo, J., Yuan, K.-J., « Circularly polarized attosecond pulse generation and applications to ultrafast magnetism », Journal of Optics, 19:12 (décembre 2017), 124016, 19 p.
Yuan, K.-J., Lu, H., Bandrauk, A. D., « Molecular photoelectron interference effects by intense circularly polarized attosecond x-ray pulses », Structural Chemistry, 28:5 (octobre 2017), 1297—1309.
Yuan, K.-J., Chelkowski, S., Bandrauk, A. D., « Ultrafast molecular photoionization by two-color orthogonally polarized ultraviolet laser pulses: Effects of relative pulse phases », Chemical Physics Letters, 683 (septembre 2017), 639–646.
Yuan, K.-J., Lu, H., Bandrauk, A. D., « Photoionization of triatomic molecular ions $\mathrm{H}_3^{2+}$ by intense bichromatic circularly polarized attosecond UV laser pulses », Journal of Physics B. Atomic, Molecular and Optical Physics, 50:12 (juin 2017), 124004.
Shu, C.-C., Yuan, K.-J., Dong, D., Petersen, I. R., Bandrauk, A. D., « Identifying strong-field effects in indirect photofragmentation reactions », The Journal of Physical Chemistry Letters, 8:1 (mai 2017), 1–6.
Chelkowski, S., Bandrauk, A. D., Corkum, P. B., « Photon-momentum transfer in photoionization: From few photons to many », Phys. Rev. A, 95 (mai 2017), 53402, 7 p.
Yuan, K.-J., Shu, C.-C., Dong, D., Bandrauk, A. D., « Attosecond dynamics of molecular electronic ring currents », The Journal of Physical Chemistry Letters, 8:10 (mai 2017), 2229—2235.
Paramonov, G. K., Kühn, O., Bandrauk, A. D., « Excitation of $\mathrm{H}^+_2$ with one-cycle laser pulses: shaped post-laser-field electronic oscillations, generation of higher- and lower-order harmonics », Molecular Physics, 115:15-16 (2017), 1846–1860.
Chelkowski, S., Bandrauk, A. D., « Photon momentum transfer in photoionisation: unexpected breakdown of the dipole approximation », Molecular Physics, 115:15-16 (2017), 1971–1983.
Ooi, C. H. R., Ho, W., Bandrauk, A. D., « Effects of ultrashort laser pulses on angular distributions of photoionization spectra », Scientific Reports, 7 (2017), 6739, 22 p.
Yuan, K.-J., Bandrauk, A. D., « Monitoring coherent electron wave packet excitation dynamics by two-color attosecond laser pulses », The Journal of Chemical Physics, 145:19 (novembre 2016), 194304, 9 p.
Lytova, M., Lorin de la Grandmaison, E., Bandrauk, A. D., « Propagation of intense and short circularly polarized pulses in a molecular gas: From multiphoton ionization to nonlinear macroscopic effects », Physical Review A. Atomic, Molecular, and Optical Physics, 94 (juillet 2016), 13421, 12 p.
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 $\mathrm{H}_2^+$ 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 Schrodinger 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 $\mathrm{H}_2^+$ 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 $\mathrm{H}_2$ 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.
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 equations for polarization effects, and the SFA-like nonlinear optics model », Journal of Physics A. Mathematical and Theoretical, 48:10 (mars 2015), 105201, 47 p.
Yuan, K.-J., Bandrauk, A. D., « Molecular alignment dependent electron interference in attosecond ultraviolet photoionization », Structural Dynamics, 2:1 (janvier 2015), 014101, 9 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 $\mathrm{H}^+_2$ 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), 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 $\mathrm{H}_2\mathrm{CO}$ 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 $\mathrm{He}\mathrm{H}^+$ 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 $\mathrm{H}_2$ », 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, 31 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 $\mathrm{H}^+_2$ and $\mathrm{H}\mathrm{He}^{2+}$ 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 $\mathrm{CS}_2$ 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.

Peer-reviewed conference proceedings:

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.

Peter Bartello

Peer-reviewed journal articles:

Kafi Abad, H. A., Bartello, P., « Spontaneous imbalance in the non-hydrostatic Boussinesq equations », Journal of Fluid Mechanics, 847 (juillet 2018), 614–643.
Asselin, O., Bartello, P., Straub, D. N., « On Boussinesq dynamics near the tropopause », Journal of the Atmospheric Sciences, 75:2 (février 2018), 571–585.
Chen, S., Yau, M. K. P., Bartello, P., « Turbulence effects of collision efficiency and broadening of droplet size distribution in cumulus clouds », Journal of the Atmospheric Sciences, 75:1 (janvier 2018), 203–217.
Kafi Abad, H. A., Bartello, P., « Rotating stratified turbulence and the slow manifold », Computers & Fluids, 151 (2017), 23–34.
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.

Jacques Bélair

Book chapters:

Wu, J., Campbell, S. A., Bélair, J., « Time-delayed neural networks: stability and oscillations », in Encyclopedia of Computational Neuroscience, D. Jaeger, R. Jung, éd., New York, Springer, 2015.

Peer-reviewed journal articles:

Provencher Langlois, G., Craig, M., Humphries, A. R., Mackey, M. C., Mahaffy, J., Bélair, J., Moulin, T., Sinclair, S. R., Wang, L., « Normal and pathological dynamics of platelets in humans », Journal of Mathematical Biology, 75:6-7 (décembre 2017), 1411–1462.
Véronneau-Veilleux, F., Bélair, J., « Modeling circadian fluctuations of pharmacokinetic parameters », Mathematical Modelling of Natural Phenomena, 12:5 (2017), 146–161.
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.

Peter Edwin Caines

Book chapters:

Caines, P., « Mean field games », in Encyclopedia of Systems and Control , Tariq Samad, John Baillieul, éd., Springer, Berlin, Springer, 2013.

Peer-reviewed journal articles:

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., « $\epsilon$-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.

Peer-reviewed conference proceedings:

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.

Other conference proceedings:

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.

Xiao-Wen Chang

Peer-reviewed journal articles:

Chang, X.-W., Wymeersch, H., Champagne, B., Toussaint, G. T., Yousefi, S., « A novel approach for ellipsoidal outer-approximation of the intersection region of ellipses in the plane », Computational Optimization and Applications, 69:2 (mars 2018), 383–402.
Wen, J., Chang, X.-W., « Success probability of the Babai estimators for box-constrained integer linear models », IEEE Transactions on Information Theory, 63:1 (janvier 2017), 631–648.
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.

Peer-reviewed conference proceedings:

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

Peer-reviewed journal articles:

Burchard, A., Choksi, R., Topaloglu, I. A., « Nonlocal shape optimization via interactions of attractive and repulsive potentials », Indiana University Mathematics Journal, 67:1 (2018), 375–395.
Choksi, R., Muratov, C., Topaloglu, I. A., « An old problem resurfaces nonlocally: Gamow’s liquid drops inspire today’s research and applications », Notices of the American Mathematical Society, 64:11 (décembre 2017), 1275–1283.
Alama, S., Bronsard, L., Choksi, R., Topaloglu, I. A., « Ground-states for the liquid drop and TFDW models with long-range attraction », Journal of Mathematical Physics, 58:10 (octobre 2017), 103503, 11 p.
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.
van Gennip, Y., Athavale, P., Gilles, J., Choksi, R., « A regularization approach to blind deblurring and denoising of QR barcodes », IEEE Transactions on Image Processing, 24:9 (septembre 2015), 2864–2973.
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.
Choksi, R., Fetecau, R. C., Topaloglu, I. A., « On minimizers of interaction functionals with competing attractive and repulsive potentials », Annales de l’Institut Henri Poincaré. Analyse Non Linéaire, 32:6 (2015), 1283–1305.
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.

Antony R. Humphries

Peer-reviewed journal articles:

Provencher Langlois, G., Craig, M., Humphries, A. R., Mackey, M. C., Mahaffy, J., Bélair, J., Moulin, T., Sinclair, S. R., Wang, L., « Normal and pathological dynamics of platelets in humans », Journal of Mathematical Biology, 75:6-7 (décembre 2017), 1411–1462.
Calleja, R. C., Humphries, A. R., Krauskopf, B., « Resonance phenomena in a scalar delay differential equation with two state-dependent delays », SIAM Journal on Applied Dynamical Systems, 16:3 (2017), 1474–1513.
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, 28:3-4 (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.
Calleja, R. C., Doedel, E. J., 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.
Calleja, R. C., Doedel, E. J., 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.

Jean-Philippe Lessard

Peer-reviewed journal articles:

Breden, M., Lessard, J.-P., « Polynomial interpolation and a priori bootstrap for computer-assisted proofs in nonlinear ODEs », Discrete and Continuous Dynamical Systems. Series B, 23:7 (septembre 2018), 2825–2858.
Lessard, J.-P., « Computing discrete convolutions with verified accuracy via Banach algebras and the FFT », Applications of Mathematics, 63:3 (juin 2018), 219–235.
Castelli, R., Gameiro, M., Lessard, J.-P., « Rigorous numerics for ill-posed PDEs: periodic orbits in the Boussinesq equation », Archive for Rational Mechanics and Analysis, 228:1 (avril 2018), 129–157.
van den Berg, J. B., Breden, M., Lessard, J.-P., Murray M., « Continuation of homoclinic orbits in the suspension bridge equation: a computer-assisted proof », Journal of Differential Equations, 264:5 (mars 2018), 3086–3130.
Kiss, G., Lessard, J.-P., « Rapidly and slowly oscillating periodic solutions of a delayed van der Pol oscillator », Journal of Dynamics and Differential Equations, 29:4 (décembre 2017), 1233–1257.
Jaquette, J., Lessard, J.-P., Mischaikow, K., « Stability and uniqueness of slowly oscillating periodic solutions to Wright’s equation », Journal of Differential Equations, 263:11 (décembre 2017), 7263-7286.
Lessard, J.-P., Sander, E., Wanner, T., « Rigorous continuation of bifurcation points in the diblock copolymer equation », Journal of Computational Dynamics, 4:1-2 (juin 2017), 71–118.
Figueras, J.-L., Gameiro, M., Lessard, J.-P., de la Llave, R., « A framework for the numerical computation and a posteriori verification of invariant objects of evolution equations », SIAM Journal on Applied Dynamical Systems, 16:2 (2017), 1070–1088.
Gameiro, M., Lessard, J.-P., « A posteriori verification of invariant objects of evolution equations: periodic orbits in the Kuramoto-Sivashinsky PDE », SIAM Journal on Applied Dynamical Systems, 16:1 (2017), 687–728.
Lessard, J.-P., Mireles James, J. D., « Computer assisted Fourier analysis in sequence spaces of varying regularity », SIAM Journal on Mathematical Analysis, 49:1 (2017), 530–561.
Lessard, J.-P., Mireles James, J. D., Ransford, J., « Automatic differentiation for Fourier series and the radii polynomial approach », Physica D. Nonlinear Phenomena, 334 (novembre 2016), 174–186.
Lessard, J.-P., « Rigorous verification of saddle–node bifurcations in ODEs », Indagationes Mathematicae. New Series, 27:4 (septembre 2016), 1013–1026.
Hungria, A., Lessard, J.-P., Mireles James, J. D., « Rigorous numerics for analytic solutions of differential equations: the radii polynomial approach », Mathematics of Computation, 85:299 (mai 2016), 1427–1459.
Gameiro, M., Lessard, J.-P., Pugliese, A., « Computation of smooth manifolds via rigorous multi-parameter continuation in infinite dimensions », Foundations of Computational Mathematics, 16:2 (avril 2016), 531–575.
Breden, M., Lessard, J.-P., Mireles James, J. D., « Computation of maximal local (un)stable manifold patches by the parameterization method », Indagationes Mathematicae. New Series, 27:1 (janvier 2016), 340–367.
Gameiro, M., Lessard, J.-P., Ricaud, Y., « Rigorous numerics for piecewise-smooth systems: A functional analytic approach based on Chebyshev series », Journal of Computational and Applied Mathematics, 292 (janvier 2016), 654–673.
Castelli, R., Lessard, J.-P., Mireles James, J. D., « Analytic enclosure of the fundamental matrix solution », Applications of Mathematics, 60:6 (décembre 2015), 617–636.
van den Berg, J. B., Lessard, J.-P., « Rigorous numerics in dynamics », Notices of the American Mathematical Society, 62:9 (octobre 2015), 1057–1061.
D’Ambrosio, L., Lessard, J.-P., Pugliese, A., « Blow-up profile for solutions of a fourth order nonlinear equation », Nonlinear Analysis. Theory, Methods & Applications, 121 (juillet 2015), 280–335.
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.
Breden, M., Desvillettes, L., Lessard, J.-P., « Rigorous numerics for nonlinear operators with tridiagonal dominant linear part », Discrete and Continuous Dynamical Systems. Series A, 35:10 (2015), 4765–4789.
van den Berg, J. B., Deschênes, A., Lessard, J.-P., Mireles James, J. D., « Stationary coexistence of hexagons and rolls via rigorous computations », SIAM Journal on Applied Dynamical Systems, 14:2 (2015), 942–979.
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., « Efficient rigorous numerics for higher-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.
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.

Peer-reviewed conference proceedings:

Lessard, J.-P., « Continuation of solutions and studying delay differential equations via rigorous numerics », in Rigorous Numerics in Dynamics, 2016 AMS Short Course “Rigorous Numerics in Dynamics” (Seattle, WA, 2016), J. B. van den Berg, J.-P. Lessard, éd., Proceedings of Symposia in Applied Mathematics, Vol. 74, Providence, RI, Amer. Math. Soc., 2018, 81–122.
Castelli, R., Lessard, J.-P., « A method to rigorously enclose eigenpairs of complex interval matrices », in Applications of Mathematics 2013, Applications of Mathematics 2013 (Prague, 2013), J. Brandts, S. Korotov, M. Křížek, J. Šístek, T. Vejchodský, éd., Prague, Institute of Mathematics, Academy of Sciences of the Czech Republic, 2013, 21–31.

Jean-Christophe Nave

Peer-reviewed journal articles:

Abraham, D., Marques, A. N., Nave, J.-C., « A correction function method for the wave equation with interface jump conditions », Journal of Computational Physics, 353 (janvier 2018), 281–299.
Marques, A. N., Nave, J.-C., Rosales, R. R., « High order solution of Poisson problems with piecewise constant coefficients and interface jumps », Journal of Computational Physics, 335 (avril 2017), 497–515.
Wan, A. T. S., Bihlo, A., Nave, J.-C., « Conservative methods for dynamical systems », SIAM Journal on Numerical Analysis, 55:5 (2017), 2255–2285.
Tcheng, A., Nave, J.-C., « A low complexity algorithm for non-monotonically evolving fronts », Journal of Scientific Computing, 69:3 (décembre 2016), 1165–1191.
Galagusz, R., Shirokoff, D., Nave, J.-C., « A Fourier penalty method for solving the time-dependent Maxwell’s equations in domains with curved boundaries », Journal of Computational Physics, 306 (février 2016), 167–198.
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.
Tcheng, A., Nave, J.-C., « A fast-marching algorithm for nonmonotonically evolving fronts », SIAM Journal on Scientific Computing, 38:4 (2016), A2307–A2333.
Wan, A. T. S., Bihlo, A., Nave, J.-C., « The multiplier method to construct conservative finite difference schemes for ordinary and partial differential equations », SIAM Journal on Numerical Analysis, 54:1 (2016), 86–119.
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), 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.

Research reports:

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

Peer-reviewed journal articles:

Abbasi, B., Oberman, A. M., « Computing the level set convex hull », Journal of Scientific Computing, 75:1 (avril 2018), 26–42.
Abbasi, B., Calder, J., Oberman, A. M., « Anomaly detection and classification for streaming data using PDEs », SIAM Journal on Applied Mathematics, 78:2 (2018), 921–941.
Oberman, A. M., « Nonlinear elliptic PDEs: applications and computation », CMS Notes/ Notes de la SMC, 49:6 (décembre 2017), 16–17.
Oberman, A. M., Ruan, Y., « A partial differential equation for the rank one convex envelope », Archive for Rational Mechanics and Analysis, 224:3 (juin 2017), 955–984.
Froese, B. D., Oberman, A. M., Saldanha Salvador, T. M., « Numerical methods for the 2-Hessian elliptic partial differential equation », IMA Journal of Numerical Analysis, 37:1 (janvier 2017), 209–236.
Liu, J., Froese, B. D., Oberman, A. M., Xiao, M., « A multigrid scheme for 3D Monge–Ampère equations », International Journal of Computer Mathematics, 94:9 (2017), 1850–1866.
Oberman, A. M., Zwiers, I., « Adaptive finite difference methods for nonlinear elliptic and parabolic partial differential equations with free boundaries », Journal of Scientific Computing, 68:1 (juillet 2016), 231–251.
Manfredi, J. J., Oberman, A. M., Svirodov, A. P., « Nonlinear elliptic Partial Differential Equations and $p$-harmonic functions on graphs », Differential and Integral Equations, 28:1-2 (décembre 2015), 79–102.
Oberman, A. M., Saldanha Salvador, T. M., « Filtered schemes for Hamilton-Jacobi equations: a simple construction of convergent accurate difference schemes », Journal of Computational Physics, 284 (mars 2015), 367–388.
Carlier, G., Oberman, A. M., Oudet, E., « Numerical methods for matching for teams and Wasserstein barycenters », ESAIM. Mathematical Modelling and Numerical Analysis, 49:6 (2015), 1621–1642.
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.
Benamou, J.-D., Froese, B. D., Oberman, A. M., « Numerical solution of the Optimal Transportation problem using the Monge–Ampère equation », Journal of Computational Physics, 260 (mars 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.

Robert G. Owens

Peer-reviewed journal articles:

Bennoune, M., Morin-Drouin, J., Owens, R. G., « On the jump conditions for the immersed interface method », SIAM Journal on Scientific Computing, 38:3 (2016), A1280–A1316.
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 smoothed particle hydrodynamics-immersed boundary method », International Journal of Numerical Analysis and Modeling, Series B, 3:2 (2012), 126–167.

Gantumur Tsogtgerel

Peer-reviewed journal articles:

Al Balushi, I., Jiang, W., Tsogtgerel, G., Kim, T.-Y., « Adaptivity of a B-spline based finite-element method for modeling wind-driven ocean circulation », Computer Methods in Applied Mechanics and Engineering, 332 (avril 2018), 1–24.
Tsogtgerel, G., « Convergence rates of adaptive methods, Besov spaces, and multilevel approximation », Foundations of Computational Mathematics, 17:4 (août 2017), 917–956.
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.

Research reports:

Tsogtgerel, G., « On the convergence theory of adaptive mixed element methods for the Stokes problem », arXiv:1403.0895, 2014, 24pp p.

Adrian Vetta

Book chapters:

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

Peer-reviewed journal articles:

Shepherd, B., Vetta, A., « The inapproximability of maximum single-sink unsplittable, priority and confluent flow problems », Theory of Computing, 13 (2017), 20, 25 p.
Joret, G., Vetta, A., « Reducing the rank of a matroid », Discrete Mathematics & Theoretical Computer Science, 17:2 (2015), 143–156.
Cheriyan, J., Laekhanukit, B., Naves, G., Vetta, A., « Approximating rooted Steiner networks », ACM Transactions on Algorithms, 11:2 (novembre 2014), 8, 22 p.
Laekhanukit, B., Vetta, A., Wilfong, G., « Routing regardless of network stability », Algorithmica, 70:3 (novembre 2014), 561–593.
Li, Z., Narayanan, M., Vetta, A., « The complexity of the simultaneaous cluster problem », Journal of Graph Algorithms and Applications, 18:1 (2014), 1–34.

Peer-reviewed conference proceedings:

Bousquet, N., Cai, Y., Hunkenschröder, C., Vetta, A., « On the economic efficiency of the combinatorial clock auction », in Proceedings of the Twenty-Seventh Annual ACM–SIAM Symposium on Discrete Algorithms, ACM–SIAM Symposium on Discrete Algorithms (Arlington, VA, 2016), R. Krauthgamer, éd., Philadelphia, PA, SIAM, 2016, 1407–1423.
Boodaghians, S., Vetta, A., « The combinatorial world (of auctions) according to GARP », in Algorithmic Game Theory, 8th International Symposium on Algorithmic Game Theory (Saarbrücken, 2015), M. Hoefer, éd., Lecture Notes in Computer Science, Vol. 9347, Berlin, Springer, 2015, 125–136.
Shepherd, B., Vetta, A., Wilfong, G., « Polylogarithmic approximations for the capacitated single-sink confluent flow problem », in 2015 IEEE 56th Annual Symposium on Foundations of Computer Science—FOCS 2015, 56th IEEE Annual Symposium on Foundations of Computer Science—FOCS 2015 (Berkeley, CA, 2015), Los Alamitos, CA, IEEE Computer Soc., 2015, 748–758.
Anbalagan, Y., Huang, H., Lovett, S., Norin, S., Vetta, A., Wu, H., « Large supports are required for well-supported Nash equilibria », in Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques, N. Garg, K. Jansen, A. Rao, J. D. P. Rolim, éd., Leibniz International Proceedings in Informatics, Vol. 40, Dagstuhl, Schloss Dagstuhl–Leibniz-Zentrum für Informatik, 2015, 78–84.
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
Bousquet, N., Norin, S., Vetta, A., « A near-optimal mechanism for impartial selection », in Web and Internet Economics, Web and Internet Economics, T.-Y. Liu, Q. Qi, Y. Ye, éd., Lecture Notes in Computer Science, Vol. 8877, Cham, Springer, 2014, 133–146.
Berbeglia, G., Sloan, P., Vetta, A., « Bounds on the profitability of a durable good monopolist », in Web and Internet Economics, Web and Internet Economics, T.-Y. Liu, Q. Qi, Y. Ye, éd., Lecture Notes in Computer Science, Vol. 8877, Cham, Springer, 2014, 292–293.
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, 2013), Y. Chen, N. Immorlica, éd., Lecture Notes in Computer Science, Vol. 8289, Berlin, Springer, 2013, 15–23.
Laekhanukit, B., Vetta, A., Wilfong, G., « Routing regardless of network stability », in Algorithms – ESA 2012, 20th Annual European Symposium (Ljubjana, 2012), L. Epstein, P. Ferragina, éd., Lecture Notes in Computer Science, Vol. 7501, Berlin, Springer, 2012, 719–730.
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.