Recent publications (since 2010)

André D. Bandrauk

Monographs and books:
  • 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.
  • Bandrauk, A. D., Ivanov M. (EDT), Quantum Dynamic Imaging, CRM Series in Mathematical Physics, New York, Springer, 2011.
Book chapters:
  • Bandrauk, A. D., Penka Fowe, E., « Nonperturbative time-dependent density functional theory, TDDFT: study of ionization and harmonic generation in linear di-(N2) and tri-(CO2, OCS, CS2) atomic molecules with ultrashort intense laser pulses-orientational fffects », in Coherence Ultrashort Pulse Laser Emission, F. J. Duarte, eds., Wien, InTech, 2010.
  • 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, ed., CRM Series in Mathematical Physics, New York, Springer, 2011.
  • 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, eds., 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 », in Progress in Ultrafast Intense Laser Science VIII, Kaoru Yamanouchi, Mauro Nisoli, Wendell T. Hill, eds., Springer Series in Chemical Physics, Vol. 103, Berlin, Springer, 2012.
  • Bandrauk, A. D., Bredtman, T., Chelkowski, S., « Attosecond dynamics of coherent electron-nuclear wave packets in molecules », in Progress in Ultrafast Intense Laser Science , Kaoru Yamanouchi, Katsumi Midorikawa, ed., Springer Series in Chemical Physics, Vol. 104, Berlin, Springer, 2013.
  • Bandrauk, A. D., Yuan, K.-J., « Coherent electron wave packets (CEWP) - Interference in Attosecond Photoionization with Ultra short Circularly Polarized XUV Laser Pulses », in Progress in Ultrafast Intense Laser Science XI, Kaoru Yamanouchi, Chang Hee Nam, Philippe Martin, eds., Springer Series in Chemical Physics, Vol. 109, Berlin, Springer, 2014.
  • Bandrauk, A. D., Yuan, K.-J., « Laser Induced Electron Diffraction (LIED), in Circular Polarization Molecular Attosecond Photoionization (MAP) », in Progress in Ultrafast Intense Laser Science XI, Kaoru Yamanouchi, Chang Hee Nam, Philippe Martin, eds., Springer Series in Chemical Physics, Vol. 109, Berlin, Springer, 2014.
  • Bandrauk, A. D., Yuan, K.-J., « Circularly polarized attosecond pulses and molecular atto-magnetism », in Attosecond Science, S. Malinowskaya, eds., World Scientific, XXXX.
Peer-reviewed journal articles:
  • Penka Fowe, E., Bandrauk, A. D., « Nonlinear time-dependent density-functional-theory study of ionization and harmonic generation in CO2 by ultrashort intense laser pulses: Orientational effects », Physical Review A. Atomic, Molecular, and Optical Physics, 81:2 (February 2010), 023411, 8 pages.
  • Lorin de la Grandmaison, E., Bandrauk, A. D., « Multiresolution scheme for time-dependent Schrödinger equation », Computer Physics Communications, 181:3 (March 2010), 626–638.
  • 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 (June 2010), 062101, 8 pages.
  • 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 (June 2010), 063412, 7 pages.
  • Dehghanian, E., Bandrauk, A. D., Lagmago Kamta, G., « Enhanced ionization of the H2 molecule driven by intense ultrashort laser pulses », Physical Review A. Atomic, Molecular, and Optical Physics, 81:6 (June 2010), 061403, 4 pages.
  • 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 (August 2010), 406–440.
  • Bian, X.-B., Bandrauk, A. D., « Multichannel molecular high-order harmonic generation from asymmetric diatomic molecules », Physical Review Letters, 105:9 (August 2010), 093903, 4 pages.
  • Penka Fowe, E., Bandrauk, A. D., « Nonlinear time-dependent density functional theory investigation and visualization of ionizations in CO2 — Effects of laser intensities and molecular orientations », Canadian Journal of Chemistry / Revue canadienne de chimie, 88:11, Special Issue dedicated to Professor R. J. Boyd (November 2010), 1186–1194.
  • 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 (2011), 8637–8646.
  • Bandrauk, A. D., Chelkowski, S., Yuan, K., « Laser control of collision–recollisition », International Review of Atomic and Molecular Physics, 2 (2011), 1–23.
  • 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 (January 2011), 013418, 12 pages.
  • 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 (January 2011), 013420, 6 pages.
  • 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 (February 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 (February 2011), 023414, 7 pages.
  • 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 (March 2011), 065601, 9 pages.
  • 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 (April 2011), 043418, 16 pages.
  • 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 (April 2011), 041403, 4 pages.
  • 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 (June 2011), 063422, 7 pages.
  • 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 (June 2011), 23pp.
  • 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 (July 2011), 013426, 7 pages.
  • 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 CO2 probed by laser Coulomb explosion imaging », Physical Review Letters, 107 (August 2011), 063201, 5 pages.
  • 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 (August 2011), 023410, 8 pages.
  • Bredtman, 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 (August 2011), 021401, 4 pages.
  • 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 (September 2011), 035402, 5 pages.
  • 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 (October 2011), 043420, 8 pages.
  • 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 (January 2012), 013413 (13pp).
  • 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 (February 2012), 022506, 12 pages.
  • 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 CS2 with ultrashort intense laser pulses - Orientational effects », Canadian Journal of Chemistry / Revue canadienne de chimie, 90:7 (March 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 (March 2012), 074001 (21pp).
  • 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 (March 2012), 012006 (10pp).
  • Chelkowski, S., Bredtman, 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 (March 2012), 033404 (14pp).
  • Yuan, K.-J., Bandrauk, A. D., « Photoelectron angular distribution of H+2 and HHe2+ by intense circularly polarized extreme ultraviolet laser pulses », Journal of Physics B. Atomic, Molecular and Optical Physics, 45:10 (April 2012), 105601 (15pp).
  • 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 (May 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 (May 2012), 053419 (8pp).
  • Lefebvre, C., Lu, H., Bandrauk, A. D., « Numerical method for dynamic imaging of nonlinear polyatomic molecules », Journal of Physics. Conference Series, 341:1 (May 2012), 012004 (7pp).
  • 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 (May 2012), 159-168.
  • 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 (June 2012), 215304, 21 pages.
  • 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 (June 2012), 1059–1071.
  • Bian, X.-B., Bandrauk, A. D., « Attosecond time-resolved imaging of molecular structure by photoelectron holography », Physical Review Letters, 108:26 (June 2012), 263003 (4pp).
  • 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 (July 2012), 1403–1415.
  • Spanner, M., Chelkowski, S., Pavicic, D., Meckel, M., Zeidler, D., Ulrich, B., Bandrauk, A. D., Villeneuve, D. M., Dörner, R., Corkum, P. B., Staudte, A., Gräfe, S., Bardon, A. B., « Coulomb asymmetry and sub-cycle electron dynamics in multiphoton multiple ionization of H2 », Journal of Physics B. Atomic, Molecular and Optical Physics, 45:19 (July 2012), 194011(10pp).
  • Fillion-Gourdeau, F., Lorin de la Grandmaison, E., Bandrauk, A. D., « Numerical solution of the time-dependent dirac equation in coordinate space fermion -doubling », Computer Physics Communications, 183:7 (July 2012), 1403-1415.
  • Raymond Ooi, C. H., 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 (August 2012), 023410 (6pp).
  • 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 (September 2012), 032118, 10 pages.
  • Bredtman, 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 (September 2012), 11398-11405.
  • 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 (November 2012), 053417 (5pp).
  • 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 (January 2013), 013002, 5 pages.
  • 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 (January 2013), 023003 (5pp).
  • 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 (January 2013), 013002 (5pp).
  • Bian, X.-B., Bandrauk, A. D., « Spectral shifts of nonadiabatic high-order harmonic generation », Applied Sciences, 3:1 (March 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 (March 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 (March 2013), 73-83.
  • Matta, C. F., Sowlati-Hashjin, S., Bandrauk, A. D., « Dipole moment surfaces of the CH4 + •X → CH3• + HX (X = F, 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 (April 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 (April 2013), 043811 (9pp).
  • 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 (April 2013), 134316 (10pp).
  • 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 (April 2013), 043811, 9pp.
  • 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 (May 2013), 1496-1501.
  • 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 (June 2013), 012013 (10pp).
  • 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 (July 2013), 153001 (33pp).
  • 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 (July 2013), 013417 (6pp).
  • 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 (August 2013), 175002 (12pp).
  • Chelkowski, S., Bredtman, 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 (August 2013), 033423 (17pp).
  • 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 (August 2013), 084315 (15pp).
  • Bandrauk, A. D., Lu, H., « Exponential propagators (integrators) for the time-dependent schrödinger equation  », Journal of Theoretical and Computational Chemistry, 12:6 (September 2013), 134001 (17pp).
  • Raymond Ooi, C. H., Ho, W., Bandrauk, A. D., « Photoelectron angular distributions of excited atoms in intense laser fields », Physical Review A. Atomic, Molecular, and Optical Physics, 90 (2014), 013417, 10pp.
  • 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 (2014), 204009, 18pp.
  • Yuan, K.-J., Sun, Z., Bandrauk, A. D., « Autler-Townes effects in attosecond circular polarization molecular photoionization », Journal of Physics. Conference Series, 529:1 (2014), 012004, 11pp.
  • Yuan, K.-J., Bandrauk, A. D., « Molecular attosecond photoionization with few cycle XUV laser pulses  », Journal of Physics. Conference Series, 497 (2014), 012014, 9pp.
  • Yuan, K.-J., Chelkowski, S., Bandrauk, A. D., « Molecular photoelectron angular distributions with intense attosecond circularly polarized UV laser pulses », Chemical Physics Letters, 592 (January 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 (January 2014), 041001, 5pp.
  • Bian, X.-B., Bandrauk, A. D., « Atomic and molecular photoelectron holography in strong laser fields », Chinese Journal of Physics, 52:1-II (February 2014), 569-577.
  • Lefebvre, C., Lu, H., Chelkowski, S., Bandrauk, A. D., « Electron-nuclear dynamics of the one-electron nonlinear polyatomic molecule H32+ in ultrashort intense laser pulses
     », Physical Review A. Atomic, Molecular, and Optical Physics, 89 (February 2014), 023403, 12pp.
  • Penka Fowe, E., Couture-Bienvenue, E., Bandrauk, A. D., « Ionization and hamonic generation in CO and H2 CO and their cations with ultrashort intense laser pulses with time-dependent density-functional theory », Physical Review A. Atomic, Molecular, and Optical Physics, 89 (February 2014), 023414, 8pp.
  • Bian, X.-B., Bandrauk, A. D., « Orientation-dependent forward-backward photoelectron holography asymmetric molecules », Physical Review A. Atomic, Molecular, and Optical Physics, 89 (March 2014), 033423, 5pp.
  • 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, 5:4422 (July 2014), 8pp.
  • 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 (August 2014), 023407, 10pp.
  • Bandrauk, A. D., Paramonov, G. K., « Excitation of muonic molecules ddμ and dtμ 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 (September 2014), 1430014, 34pp.
  • 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 (October 2014), 191001, 5pp.
  • 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 (November 2014), 268-304.
  • 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, 47pp.
  • Antoine, X., Lorin de la Grandmaison, E., Bandrauk, A. D., « Domain decomposition methods and high-order absorbing boundary conditions for the numerical simulation of the Time Dependent Schrödinger Equation with ionization and recombination by intense electric filed » (XXXXX), 28pp.
  • Fillion-Gourdeau, F., Lorin de la Grandmaison, E., Bandrauk, A. D., « A slipt-step numerical method for the time-dependent dirac equation in 3-D axisymmetric Geometry », Journal of Computational Physics (XXXXX), accepted.
  • 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 (XXXXX), accepted.
Peer-reviewed conference proceedings:
  • 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, eds., 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, eds., 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, eds., 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 CO2 and N2 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, eds., Lecture Notes in Computer Science, Vol. 5976, Berlin, Springer, 2010, 134–147.
  • 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, Ilias Kotsireas, Roderick Melnik, Brian West, eds., AIP Conference Proceedings, Vol. 1368, Melvile, NY, Amer. Inst. Phys., 2012, 13-16.
Peter Bartello

Peer-reviewed journal articles:
  • Bartello, P., Devenish, B. J., Haigh, J. D., Vassilicos, J. C., « Clouds and turbulence », Bulletin of the American Meteorological Society, 91:8 (August 2010), 1087–1089.
  • 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 (April 2012), 046306, 12pp.
  • 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 (July 2012), Part B,1401-1429.
  • Bartello, P., Tobias, S. M., « Sensitivity of stratified turbulence to the buoyancy reynolds number », Journal of Fluid Mechanics, 725 (2013), 1-22.
Peer-reviewed conference proceedings:
  • 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, eds., IUTAM Bookseries, Vol. 28, Dordrecht, Springer, 2010, 117–130.
Jacques Bélair

Book chapters:
  • Wu, J., Campbell, S. A., Bélair, J., « Time-delayed neural networks: stability and oscillations », in Encyclopedia of Computational neuroscience, Dieter Jaeger, Ranu Jung, ed., New York, Springer, 2014.
Peer-reviewed journal articles:
  • 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.
  • Bélair, J., Yuan, Y., « Threshold dynamics in an SEIRS model with latency and temporary immunity », Journal of Mathematical Biology, 69:4 (October 2014), 875-904.
  • 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 (XXXXX), submitted.
Peer-reviewed conference proceedings:
  • 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, eds., AIP Conference Proceedings, Vol. 1339, Melvile, NY, Amer. Inst. Phys., 2011, 222–235.
Anne Bourlioux

Peer-reviewed journal articles:
  • Bourlioux, A., Em, A., Turbis, P., « A posteriori error estimation for subgrid flamelet models », Multiscale Modeling & Simulations, 8:2 (2010), 481–497.
Peter Edwin Caines

Book chapters:
  • 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, eds., Advances in intelligent and soft computing Vol. 83, Berlin, Springer, 2010.
  • Caines, P., « Mean field games », in Encyclopedia of Systems and Control , Tariq Samad, John Baillieul, ed., Springer, Berlin, Springer, 2013.
Peer-reviewed journal articles:
  • 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.
  • 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 (February 2010), 350-366.
  • Huang, M., Caines, P., Malhamé, R., « The NCE (Mean Field) Principle with locality dependent cost interactions », IEEE Transactions on Automatic Control, 55:12 (December 2010), 2799-2805.
  • 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.
  • Taringoo, F., Caines, P., « Gradient geodesic and newton geodesic HMP algorithms for the optimization of hybrid systems », Annual Reviews in Control, 35:2 (December 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 (December 2011), 187-198.
  • Huang, M., Caines, P., Malhamé, R., « Social optima in mean field LQP control: centralized and descentralized strategies », IEEE Transactions on Automatic Control, 57:7 (July 2012), 1736-1751.
  • 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 (December 2012), 1294-1298.
  • Jia, P., Caines, P., « Analysis of decentralized quantized autions on cooperative networks », IEEE Transactions on Automatic Control, 58:2 (February 2013), 529-534.
  • 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 (March 2013), 639-653.
  • Kizilkale, A. C., Caines, P., « Mean field stochastic adaptive control  », IEEE Transactions on Automatic Control, 58:4 (April 2013), 905-920.
  • 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 (August 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 (August 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 (August 2013), 3127-3153.
  • 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 (February 2014), 449-455.
  • 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 (November 57:11), 2801-2816.
Peer-reviewed conference proceedings:
  • 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, ed., 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, eds., 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, eds., 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.
  • 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, eds., 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.
  • 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, eds., IFAC, 2012, 277-283.
Other conference proceedings:
  • 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.
  • 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, eds., 2012, 33-38.
Xiao-Wen Chang

Peer-reviewed journal articles:
  • Chang, X.-W., Stehlé, D., « Rigorous perturbation bounds of some Matrix factorizations », SIAM Journal on Matrix Analysis and Applications, 31:5 (2010), 2841-2859.
  • Chang, X.-W., Li, R.-C., « Multiplicative perturbation analysis for QR factorizaions », Numerical Algebra, Control and Optimization (NACO), 1:2 (June 2011), 301-316.
  • Chang, X.-W., « On the perturbation of the Q-factor of the QR factorization », Numerical Linear Algebra with Applications, 19:3 (May 2012), 607-619.
  • 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 (July 2012), 1487-1511.
  • 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 (May 2013), 1052-1061.
  • 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 (August 2013), 4915-4926.
  • Al Borno, M., Chang, X.-W., Xie, X., « On “Decorrelation” in solving integer least-squares problems for ambiguity determination », Survey Review, 46:334 (January 2014), 37-49.
  • 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 (July 2014), 227-242.
  • 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 (XXXXX), accepted.
Peer-reviewed conference proceedings:
  • 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.
  • 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.
  • 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.
Rustum Choksi

Peer-reviewed journal articles:
  • 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.
  • 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., 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 (August 2011), 591–617.
  • Choksi, R., « On global minimizers for a variational problem with long-range interactions », Quarterly of Applied Mathematics, 70:3 (September 2012), 517-537.
  • Choksi, R., Morandotti, M., Veneroni, M., « Global minimizers for axisymmetric multiphase membranes », ESAIM. Control, Optimisation and Calculus of Variations, 19:4 (October 2013), 1014-1029.
  • 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 (November 2013), 337-366.
  • Choksi, R., Fonseca, I., Zwicknagl, B., « A few remarks on variational models for denoising », Communications in Mathematical Sciences, 12:5 (2014), 843-857.
  • Powers, L., Choksi, R., Nave, J.-C., « An iterative algorithm for computing measures of generalized voronoi regions », SIAM Journal on Scientific Computing, 36:2 (April 2014), A792-A827.
  • 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 (XXXX).
  • Choksi, R., Fetecau, R. C., Topaloglu, I. A., « On minimizers of interaction functionals with competing attractive and repulsive potentials » (XXXXXX), submitted.
  • 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 (XXXXXX), accepted.
Eusebius J. Doedel

Peer-reviewed journal articles:
  • 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 (January 2011), 305-322.
  • 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 (April 2011), 1309-1344.
  • 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 (November 2011), 056207 (8pp).
  • 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 (December 2011), 222-240.
  • 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 (April 2012), 1250095(10pp).
  • 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 (October 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 (October 2012), 1230035(20pp).
  • 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 (October 2012), 1250238(15pp).
  • 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 (January 2014), 1-45.
  • 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 (April 2014), 1430012, 15pp.
  • 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 (May 2014), 052904, 17pp.
Research reports:
  • Doedel, E. J., Krauskopf, B., Pando Lambruschini, C. L., « A numerical bifurcation study of a basic model of two coupled laserswith absorption », April 2014, 9pp p.
Antony R. Humphries

Peer-reviewed journal articles:
  • 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 (April 2010), 205103, 20 pages.
  • 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., Humphries, A. R., Rodrigues, S. B., « Finite element boundary value integration of Wheeler–Feynman electrodynamics », Journal of Computational and Applied Mathematics, 236:13 (July 2012), 3319-3337.
  • 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 (August 2012), 2701-2727.
  • 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 (October 2012), 77-106.
  • Wall, E., Guichard, F., Humphries, A. R., « Synchronization in ecological systems by weak dispersal coupling with time delay », Theoretical Ecology, 6:4 (November 2013), 405-418.
  • 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 (XXXXX), submitted.
Jean-Philippe Lessard

Peer-reviewed journal articles:
  • Lessard, J.-P., « Recent advances about the uniqueness of the slowly oscillating periodic solutions of Wright's equation », Journal of Differential Equations, 248:5 (March 2010), 992–1016.
  • van den Berg, J. B., Lessard, J.-P., Mischaikow, K., « Global smooth solution curves using rigorous branch following », Mathematics of Computation, 79:271 (July 2010), 1565–1584.
  • Gameiro, M., Lessard, J.-P., « Analytic estimates and rigorous continuation for equilibria of higher-dimensional PDEs », Journal of Differential Equations, 249:9 (November 2010), 2237-2268.
  • 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., « Rigorous computation of smooth branches of equilibria for the three dimensional Cahn–Hilliard equation », Numerische Mathematik, 117:4 (April 2011), 753–778.
  • Gameiro, M., Lessard, J.-P., « Existence of secondary bifurcations or isolas for PDEs », Nonlinear Analysis. Theory, Methods & Applications, 74:12 (November 2011), 4131–4137.
  • Kiss, G., Lessard, J.-P., « Computational fixed-point theory for differential delay equations with multiple time lags », Journal of Differential Equations, 252:4 (February 2012), 3093–3115.
  • Castelli, R., Lessard, J.-P., « A method to rigorously enclose eigendecompositions of interval matrices », Applications of Mathematics (2013), 21-31.
  • 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 (February 2013), 204–245.
  • Gameiro, M., Lessard, J.-P., « Effcient rigorous numerics for high-dimensional PDEs via one-dimensional estimates », SIAM Journal on Numerical Analysis, 51:4 (July 2013), 2063-2087.
  • 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 (December 2013), 113-152.
  • Lessard, J.-P., Reinhardt, C., « Rigorous numerics for nonlinear differential equations using Chebyshev series », SIAM Journal on Numerical Analysis, 52:1 (January 2014), 1-22.
  • 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 (June 2014), 267-313.
  • Castelli, R., Lessard, J.-P., Mireles-James, J. D., « Parameterization of invariant manifolds for periodic orbits (I): efficient numerics via the floquet normal James », SIAM Journal on Applied Dynamical Systems (XXXXX), accepted.
  • 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 (XXXXXX), accepted.
  • Gameiro, M., Lessard, J.-P., Pugliese, A., « Computation of smooth manifolds via rigorous multi-parameter continuation in infinite dimensions » (XXXXXXX), submitted.
Research reports:
  • 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

Peer-reviewed journal articles:
  • Lorin de la Grandmaison, E., Bandrauk, A. D., « Multiresolution scheme for time-dependent Schrödinger equation », Computer Physics Communications, 181:3 (March 2010), 626–638.
  • 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 (August 2010), 406–440.
  • 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 (February 2011), 190–202.
  • 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 (February 2012), 022506, 12 pages.
  • 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 (March 2012), 012006 (10pp).
  • 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 (May 2012), 159–168.
  • 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 (May 2012), 159-168.
  • 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 (June 2012), 215304, 21 pages.
  • 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 (June 2012), 1059–1071.
  • 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 (July 2012), 1403–1415.
  • Fillion-Gourdeau, F., Lorin de la Grandmaison, E., Bandrauk, A. D., « Numerical solution of the time-dependent dirac equation in coordinate space fermion -doubling », Computer Physics Communications, 183:7 (July 2012), 1403-1415.
  • 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 (September 2012), 032118, 10 pages.
  • 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., « Resonantly enhanced pair Production in a simple diatomic model », Physical Review Letters, 110:1 (January 2013), 013002, 5 pages.
  • 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 (January 2013), 013002 (5pp).
  • 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 (April 2013), 043811 (9pp).
  • 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 (April 2013), 043811, 9pp.
  • 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 (June 2013), 012013 (10pp).
  • 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 (July 2013), 153001 (33pp).
  • 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 (August 2013), 175002 (12pp).
  • 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 (October 2013), 115-130.
  • 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 (March 2014), 244-274.
  • 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 (November 2014), 268-304.
  • 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, 47pp.
  • Antoine, X., Lorin de la Grandmaison, E., Bandrauk, A. D., « Domain decomposition methods and high-order absorbing boundary conditions for the numerical simulation of the Time Dependent Schrödinger Equation with ionization and recombination by intense electric filed » (XXXXX), 28pp.
  • Fillion-Gourdeau, F., Lorin de la Grandmaison, E., Bandrauk, A. D., « A slipt-step numerical method for the time-dependent dirac equation in 3-D axisymmetric Geometry », Journal of Computational Physics (XXXXX), accepted.
  • 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 (XXXXX), accepted.
Peer-reviewed conference proceedings:
  • 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, eds., Lecture Notes in Computer Science, Vol. 5976, Berlin, Springer, 2010, 70–75.
  • 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, Ilias Kotsireas, Roderick Melnik, Brian West, eds., AIP Conference Proceedings, Vol. 1368, Melvile, NY, Amer. Inst. Phys., 2012, 13-16.
Research reports:
  • 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, April 2013.
Sherwin A. Maslowe

Book chapters:
  • 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, ed., Wiley, 2014.
Peer-reviewed journal articles:
  • Feys, J., Maslowe, S. A., « Long nonlinear surface waves in the presence of a variable current », Studies in Applied Mathematics, 126:3 (April 2011), 303–318.
  • Maslowe, S. A., Spiteri, R. J., « A study of singular modes associated with over-reflection and related phenomena », Journal of Fluid Mechanics, 728 (July 2013), 120-145.
  • Feys, J., Maslowe, S. A., « Linear stability of the moore-saffman model for a trailing wingtip vortex », Physics of Fluids, 26 (2014), 15p.024108.
Jean-Christophe Nave

Peer-reviewed journal articles:
  • 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 (May 2010), 3802-3827.
  • Nave, J.-C., Liu, X.-D., Banerjee, S., « Direct numerical simulation of liquid films with large interfacial deformation », Studies in Applied Mathematics, 125:2 (August 2010), 153-177.
  • 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.
  • 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 (July 2011), 1519-1529.
  • 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 (August 2011), 7567-7597.
  • 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 (September 2011), 235-262.
  • 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 (April 2012), 297-306.
  • Seibold, B., Rosales, R. R., Nave, J.-C., « Jet schemes for advection problems », Discrete and Continuous Dynamical Systems. Series B, 17:4 (June 2012), 1229-1259.
  • 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 (November 2012), 1952-1969.
  • Bihlo, A., Nave, J.-C., « Invariant discretization schemes using evolution projection techniques », SIGMA. Symmetry, Integrability and Geometry. Methods and Applications, 9 (2013), Art. 052, 23pp.
  • 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 (June 2013), 1547-1554.
  • Powers, L., Choksi, R., Nave, J.-C., « An iterative algorithm for computing measures of generalized voronoi regions », SIAM Journal on Scientific Computing, 36:2 (April 2014), A792-A827.
  • Bihlo, A., Nave, J.-C., « Convecting reference frames and invariant numerical models », Journal of Computational Physics, 272 (September 2014), 656-663.
  • Shirokoff, D., Nave, J.-C., « A Sharp-Interface Active Penalty Method for the Incompressible Navier-Stokes Equations », Journal of Scientific Computing, 62:1 (January 2015), 53-77.
  • Kolomenskiy, D., Nave, J.-C., Schneider, K., « Adaptive gradient-augmented level set method with multiresolution error estimation », Journal of Scientific Computing (XXXXX), accepted.
  • 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 (XXXXXX), accepted.
Research reports:
  • Mercier, O., Nave, J.-C., « The characteristic mapping method for the linear advection of arbitrary sets », McGill, arXiv:1309.2731, September 2013, 20pp p.
  • 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, January 2014.
Adam M. Oberman

Peer-reviewed journal articles:
  • 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 (July 2010), 737–758.
  • Oberman, A. M., « Convergence rates for difference schemes for polyhedral nonlinear parabolic equations », Journal of Computational Mathematics, 28:4 (July 2010), 474–488.
  • 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 (February 2011), 818–834.
  • 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 (August 2011), 591–617.
  • 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 (September 2011), 637–662.
  • Oberman, A. M., Sylvestre, L., « The Dirichlet problem for the convex envelope », Transactions of the American Mathematical Society, 363:11 (November 2011), 5871–5886.
  • 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., « A numerical method for variational problems with convexity constraints », SIAM Journal on Scientific Computing, 35:1 (January 2013), A378-A396.
  • Froese, B. D., Oberman, A. M., « Convergent filtered schemes for the Monge–Ampère partial differential equation », SIAM Journal on Numerical Analysis, 51:1 (April 2013), 423-444.
  • 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 (August 2014), 107-126.
  • Huang, Y., Oberman, A. M., « Numerical methods for the fractional laplacian: a finite difference-quadrature approach », SIAM Journal on Numerical Analysis (XXXX), accepted.
  • Oberman, A. M., « Finite difference methods for the infinity Laplace and $p$-Laplace equations », Journal of Computational and Applied Mathematics (XXXXX), accepted.
Research reports:
  • Benamou, J.-D., Froese, B. D., Oberman, A. M., « Numerical solution of the optimal transportation problem using the Monge–Ampère equation », arXiv:1208.4870, August 2012.
  • Manfredi, J. J., Oberman, A. M., Svirodov, A. P., « Nonlinear elliptic Partial Differential Equations and p-harmonic functions on graphs », arXiv:1212.0834, December 2012.
  • Carlier, G., Oberman, A. M., Oudet, E., « Numerical methods for matching for teams and Wasserstein barycenters », arXiv:1411.3602, 2014.
Robert G. Owens

Book chapters:
  • 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, ed., Handbook of Numerical Analysis, Vol. 16, Elsevier, 2011.
Peer-reviewed journal articles:
  • 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.
  • 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 (May 2010), 509–518.
  • 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 (September 2011), 1321–1349.
  • Iolov, A., Kane, A. S., Bourgault, Y., Owens, R. G., Fortin, A., « A finite element method for a microstructure-based model of blood », International Journal for Numerical Methods in Biomedical Engineering, 27:9 (September 2011), 1321-1349.
  • 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 (November 2011), 1297–1303.
  • 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 (December 2011), 1327–1346.
  • 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.
  • 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 (April 2013), 676-707.
  • Bennoune, M., Morin-Drouin, J., Owens, R. G., « On the jump conditions for the immersed interface method », SIAM Journal on Scientific Computing (XXXXXX), submitted.
Peer-reviewed conference proceedings:
  • 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

Book chapters:
  • 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, eds., Lecture Notes in Computer Science, Vol. 7392, Berlin, Springer, 2012.
  • 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, eds., Lecture Notes in Computer Science, Vol. 7965, Berlin, Springer, 2013.
Peer-reviewed journal articles:
  • Chekuri, C., Antonakopoulos, S., Zhang, L., Shepherd, B., « Buy-at-bulk network design with protection », Mathematics of operations research 36:1 (February 2011), 71-87.
  • Anshelevich, E., Shepherd, B., Wilfong, G., « Strategic network formation through peering and service agreements », Games and Economic Behavior, 73-1 (September 2011), 17-38.
  • Chekuri, C., Shepherd, B., Weibel, C., « Flow-cut gaps for integer and fractional multiflows », Journal of Combinatorial Theory. Series B, 103:2 (March 2013), 248-273.
  • Goyal, N., Olver, N., Shepherd, B., « The VPN conjecture is true », Journal of the ACM, 60:3, Art.17 (June 2013), 17pp.
  • Chekuri, C., Khanna, S., Shepherd, B., « The all-nothing multicommodity flow problem », SIAM Journal on Computing, 42:4 (July 2013), 1467-1493 (27pp).
  • 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 (October 2014), 13pp.
Peer-reviewed conference proceedings:
  • 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.
  • 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, eds., ACM International Conference Proceeding Series, Vol. 45, New York, ACM, 2013, 961-970.
  • 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.
Gantumur Tsogtgerel

Peer-reviewed journal articles:
  • Holst, M., Lunasin, E., Tsogtgerel, G., « Analysis of the general family of regularized navier-stokes and magnetohydrodynamics models », Journal of Nonlinear Science, 20:5 (October 2010), 523-567.
  • Tsogtgerel, G., « Adaptive boundary element methods with convergence rates », Numerische Mathematik, 124:3 (July 2013), 471-516.
  • Holst, M., Tsogtgerel, G., « The lichnerowicz equation on compact manifolds with boundary », Classical and Quantum Gravity, 30:20 (October 2013), 205011(31pp).
  • 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 (October 2014), 5487-5502.
  • 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 (XXXX).
Research reports:
  • Holst, M., Tsogtgerel, G., Zhu, Y., « Local convergence of adaptive methods for nonlinear partial differential equations  », arXiv:1001.1382, January 2010, submitted.
  • 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.
Adrian Vetta

Book chapters:
  • 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, eds., Lecture Notes in Computer Science, Vol. 6386, Berlin, Springer, 2010.
  • 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, eds., Lecture Notes in Computer Science, Vol. 6302, Berlin, Springer, 2010.
  • Laekhanukit, B., Naves, G., Vetta, A., « Non-redistributive second welfare theorems », in Internet and network economics, Paul W. Goldberg, eds., Lecture Notes in Computer Science, Vol. 7695, Berlin, Springer, 2012.
  • Mirrokni, V. S., Thain, N., Vetta, A., « A theoretical examination of practical game playing: lookahead search », in Algorithmic Game Theory, Maria Serna, eds., Lecture Notes in Computer Science, Vol. 7615, Berlin, Springer, 2012.
  • Laekhanukit, B., Vetta, A., Wilfong, G., « Routing regardless of network stability », in Algorithms - ESA 2012, Leah Epstein, Paolo Ferragina, ed., Lecture Notes in Computer Science, Vol. 7501, Berlin, Springer, 2012.
Peer-reviewed journal articles:
  • Sonnerat, N., Vetta, A., « Galaxy cutsets in graphs », Journal of Combinatorial Optimization, 19:3 (2010), 415-427.
  • Zhentao, L., Vetta, A., « Bounds on the cleaning times of robot vacuums », Operations Research Letters, 38:1 (January 2010), 69-71.
  • Narayanan, M., Vetta, A., Schadt, E. E., Zhu, J., « Simultaneous clustering of multiple gene expression and physical interaction datasets », PLoS Computational Biology, 6:4 (April 2010), e1000742 (13pp).
  • Drescher, M., Vetta, A., « An approximation algorithm for the maximum leaf spanning arborescence problem  », Journal ACM Transaction On Algorithms (TALG), 6:3, Art.46 (June 2010), 18pp.
  • Kim, E., Sabharwal, A., Vetta, A., Blanchette, M., « Predicting direct protein interactions from affinity purification mass spectrometry data », Algorithms for Molecular Biology, 5:34 (October 2010), 17pp.
  • 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:
  • 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, eds., 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, ed., Philadelphia, PA, SIAM, 2012, 93-102.
  • 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, ed., Lecture Notes in Computer Science, Vol. 8289, Berlin, Springer, 2013, 15-23.
  • 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.
Jian-Jun Xu

Peer-reviewed journal articles:
  • 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 (January 2010), 35-41.
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