Recent publications (since 2007)

André D. Bandrauk

Monographs and books:
  • Bandrauk, A. D., Delfour, M. C., Le Bris, C. (EDT), High-Dimensional Partial Differential Equations in Science and Engineering 41, CRM Proceedings & Lecture Notes, Vol. 41, Providence, RI, Amer. Math. Soc., 2007.
  • 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:
  • Chelkowski, S., Bandrauk, A. D., « Sub-laser cycle structures in Coulomb explosion of molecular hydrogen », in Applications Briefs 2006, 2007.
  • Bandrauk, A. D., Barmaki, S., Chelkowski, S., Lagmago Kamta, G., « Molecular harmonic generation », in Progress in Ultrafast Intense Laser Science III, K. Yamanouchi, S. L. Chin, P. Agostini, G. Ferrante, eds., Springer Series in Chemical Physics, Vol. 89, Berlin, Springer, 2008.
  • Bandrauk, A. D., Chelkowski, S., Yudin, G. L., « Attochemistry is coming on », in Atoms and Molecules in Laser and External Fields, M. Mohan, eds., New Delhi, Narosa Publ. House, 2008.
  • 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.
Peer-reviewed journal articles:
  • Bandrauk, A. D., Chelkowski, S., Yudin, G. L., « Attosecond science and electron control », Photons, 4 (2007), 20–24.
  • Bandrauk, A. D., Barmaki, S., Lagmago Kamta, G., « Laser phase control of high-order harmonic generation at large internuclear distance: The H$^+$-H$^+_2$ system », Physical Review Letters, 98:1 (January 2007), 013001, 4 pages.
  • Staudte, A., Pavicic, D., Chelkowski, S., Zeidler, D., Meckel, M., Niikura, H., Schöffer, M., Schössler, M., Ulrich, B., Rajeev, P. P., Weber, T., Jahnke, T., Villeneuve, D. M., Bandrauk, A. D., Cocke, C. L., Corkum, P. B., Dörner, R., « Attosecond strobing of two-surface population dynamics in dissociating H2+ », Physical Review Letters, 98:7 (February 2007), 073003, 4 pages.
  • Dussault, J.-P., Shen, H., Bandrauk, A. D., « Penalty algorithms in Hilbert spaces », Acta Mathematica Sinica (English Series), 23:2 (February 2007), 229–236.
  • Yudin, G. L., Patchkovskii, S., Corkum, P. B., Bandrauk, A. D., « Attosecond photoelectron interference in the separable Coulomb–Volkov continuum », Journal of Physics B. Atomic, Molecular and Optical Physics, 40:5 (March 2007), F93–F103.
  • Kawai, S., Bandrauk, A. D., Jaffé, C., Bartsch, T., Palacián, J., Uzer, T. A., « Transition state theory for laser-driven reactions », The Journal of Chemical Physics, 126:16 (April 2007), 164306, 12 pages.
  • Lagmago Kamta, G., Bandrauk, A. D., « Effects of molecular symmetry on enhanced ionization by intense laser pulses », Physical Review A. Atomic, Molecular, and Optical Physics, 75:4 (April 2007), 041401, 4 pages.
  • Barmaki, S., Bandrauk, A. D., « Laser control of electron transfer with ultrashort intense laser pulses », Journal of Modern Optics, 54:7, Ultrafast Dynamic Imaging of Matter (May 2007), 1047–1061.
  • Kawai, S., Bandrauk, A. D., « Phase determination of harmonics by three-color photoionization of aligned molecules: The H2+ system », Physical Review A. Atomic, Molecular, and Optical Physics, 75:6 (June 2007), 063402, 9 pages.
  • Chelkowski, S., Bandrauk, A. D., Staudte, A., Corkum, P. B., « Dynamic nuclear interference structures in the Coulomb explosion spectra of a hydrogen molecule in intense laser fields: Reexamination of molecular enhanced ionization », Physical Review A. Atomic, Molecular, and Optical Physics, 76:1 (July 2007), 013405, 16 pages.
  • Tchitchekova, D., Chelkowski, S., Bandrauk, A. D., « Adiabatic climbing of vibrational ladders using Raman transitions with chirped pump lasers: effect of higher electronic surfaces and control of the shapes of vibrational wave packets », Journal of Raman Spectroscopy, 38:7 (July 2007), 922–935.
  • Bandrauk, A. D., Barmaki, S., « Molecular high order harmonic generation by laser induced electron transfer with intense ultrashort pulses », Chemical Physics, 338:2-3 (September 2007), 312–319.
  • Bandrauk, A. D., Tchitchekova, D., Chelkowski, S., « Multiphoton ion pair spectroscopy (MPIPS) with ultrashort laser pulses for the H2 molecule », The Journal of Physical Chemistry A, 111:38 (September 2007), 9340–9346.
  • Lagmago Kamta, G., Bandrauk, A. D., « Nonsymmetric molecules driven by intense few-cycle laser pulses: Phase and orientation dependence of enhanced ionization », Physical Review A. Atomic, Molecular, and Optical Physics, 76:5 (November 2007), 053409, 15 pages.
  • Lorin de la Grandmaison, E., Chelkowski, S., Bandrauk, A. D., « A numerical Maxwell–Schrödinger model for intense laser–matter interaction and propagation », Computer Physics Communications, 177:12 (December 2007), 908–932.
  • Bandrauk, A. D., Krausz, F., Starace, A. F., « Focus on attosecond physics », New Journal of Physics, 10:2 (February 2008), 025004, 21 pages.
  • Lorin de la Grandmaison, E., Chelkowski, S., Bandrauk, A. D., « Attosecond pulse generation from aligned molecules — dynamics and propagation in $\mathrm{H}_2^+$ », New Journal of Physics, 10 (February 2008), 025033, 21 pages.
  • Bandrauk, A. D., Barmaki, S., « Imaging attosecond coherent electron motion in molecules », Chemical Physics, 350:1-3 (June 2008), 175–178.
  • Bandrauk, A. D., Chelkowski, S., Kawai, S., Lu, H., « Effect of nuclear motion on molecular high-order harmonics and on generation of attosecond pulses in intense laser pulses », Physical Review Letters, 101:15 (October 2008), 153901, 4 pages.
  • Bandrauk, A. D., Chelkowski, S., Diestler, D. J., Manz, J., Yuan, K., « Quantum-mechanical models for photo-ionization: Uni-directional electron re-scattering by a laser pulse », International Journal of Mass Spectrometry, 277:1-3 (November 2008), 189–196.
  • Mebel, A. M., Bandrauk, A. D., « Theoretical study of unimolecular decomposition of allene cations », The Journal of Chemical Physics, 129:22 (December 2008), 224311, 12 pages.
  • Bandrauk, A. D., Chelkowski, S., « Attosecond science — The next frontier », Physics in Canada / La physique au Canada, 65:2, Ultrafast Science / Science de l'Ultrarapide (2009), 71–??.
  • Bandrauk, A. D., « FAZSST—femto-atto-zeptosecond science-technology and/or molecular photonics », Photons, 7:2 (2009), 15–17.
  • Lorin de la Grandmaison, E., Chelkowski, S., Bandrauk, A. D., « Mathematical modeling of boundary conditions for laser-molecule time-dependent Schrödinger equations and some aspects of their numerical computation - One-dimensional case », Numerical Methods for Partial Differential Equations, 25:1 (January 2009), 110–136.
  • Bandrauk, A. D., Chelkowski, S., Diestler, D. J., Manz, J., Yuan, K., « Quantum simulation of high-order harmonic spectra of the hydrogen atom », Physical Review A. Atomic, Molecular, and Optical Physics, 79:2 (February 2009), 023403, 14 pages.
  • Bandrauk, A. D., Chelkowski, S., Lu, H., « Signatures of nuclear motion in molecular high-order harmonics and in the generation of attosecond pulse trains by ultrashort intense laser pulses », Journal of Physics B. Atomic, Molecular and Optical Physics, 42:7 (April 2009), 075602, 11 pages.
  • Bandrauk, A. D., Chelkowski, S., Corkum, P. B., Manz, J., Yudin, G. L., « Attosecond photoionization of a coherent superposition of bound and dissociative molecular states: effect of nuclear motion », Journal of Physics B. Atomic, Molecular, and Optical Physics, 42:13 (June 2009), 134001, 7 pages.
  • Penka Fowe, E., Bandrauk, A. D., « Nonlinear time-dependent density functional theory studies of the ionization of CO2 by ultrashort intense laser pulses », Canadian Journal of Chemistry / Journal canadien de chimie, 87:7, Dedicated to Professor Tom Ziegler (July 2009), 1081–1089.
  • Bandrauk, A. D., Manz, J., Yuan, K., « Electron wavepacket phases in ionization and rescattering processes by intense laser pulses », Laser Physics, 19:8 (July 2009), 1559–1573.
  • Yudin, G. L., Bondar, D. I., Patchkovskii, S., Corkum, P. B., Bandrauk, A. D., « Unified ab initio treatment of attosecond photoionization and Compton scattering », Journal of Physics B. Atomic, Molecular and Optical Physics, 42:20 (October 2009), 205601, 8 pages.
  • Lagmago Kamta, G., Bandrauk, A. D., « Orbital symmetry and interference effects in molecular high-order harmonic generation », Physical Review A. Atomic, Molecular, and Optical Physics, 80:4 (October 2009), 041403, 4 pages.
  • Yuan, K., Bandrauk, A. D., « Recollision dynamics of electron wave packets in high-order harmonic generation
     », Physical Review A. Atomic, Molecular, and Optical Physics, 80:5 (November 2009), 053404, 12 pages.
  • Bandrauk, A. D., Manz, J., Vrakking, M., « Attosecond molecular dynamics », Chemical Physics, 366:1-3 (December 2009), 1. Preface
  • Yuan, K., Lu, H., Bandrauk, A. D., « Laser-induced electron diffraction in H2 with linear and circular polarization ultrashort XUV laser pulses
     », Physical Review A. Atomic, Molecular, and Optical Physics, 80:6 (December 2009), 061403, 4 pages.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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., « 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.
  • 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.
Peer-reviewed conference proceedings:
  • Lorin de la Grandmaison, E., Chelkowski, S., Bandrauk, A. D., « Propagation effects on attosecond pulse generation », in International Conference on Lasers, Applications, and Technologies 2007: Environmental Monitoring and Ecological Applications; Optical Sensors in Biological, Chemical, and Engineering Technologies; and Femtosecond Laser Pulse Filamentation, International Conference on Lasers, Applications, and Technologies 2007 (Minsk, 2007), G. Matvienko, A. Ivanov, P. Nikitin, E, Voropay, M. Khodasevich, V. Pachenko, V. Golubev, eds., Proceedings of SPIE, Vol. 6733, Bellingham, WA, SPIE, 2007, 67332V, 11 pages.
  • Lorin de la Grandmaison, E., Chelkowski, S., Bandrauk, A. D., « A Maxwell–Schrödinger model for nonperturbative laser-molecule interaction and some methods of numerical computation », in High-Dimensional Partial Differential Equations in Science and Engineering, High-Dimensional Partial Differential Equations in Science and Engineering (Montréal. 2005), A. D. Bandrauk, M. C. Delfour, C. Le Bris, eds., CRM Proceedings & Lecture Notes, Vol. 41, Providence, RI, Amer. Math. Soc., 2007, 161–182.
  • Bandrauk, A. D., Lu, H., « Singularity-free methods for time-dependent Schrödinger equation — A nonperturbative approach », in High-Dimensional Partial Differential Equations in Science and Engineering, High-Dimensional Partial Differential Equations in Science and Engineering (Montréal, 2005), A. Bandrauk, M. Delfour, C. Le Bris, eds., CRM Proceedings & Lecture Notes, Vol. 41, Providence, RI, Amer. Math. Soc., 2007, 1–14.
  • Lorin de la Grandmaison, E., Bandrauk, A. D., « Efficient parallel computing for laser-gas quantum interaction and propagation », in 22nd International Symposium on High Performance Computing Systems and Applications, 22nd International Symposium on High Performance Computing Systems and Applications (Québec, 2008), Proceedings - High Performance Computing Systems and Applications, Los Alamitos. CA, IEEE Comput. Soc., 2008, 4–8.
  • 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.
Other conference proceedings:
  • Bandrauk, A. D., Barty, C. P. J., Habs, D., Keitel, C. H., Schreiber, J., Schützhold, R., Thirolf, P. G., Weidenmüller, H. A., « Photonuclear Physics — Explore nuclei with photons », in Extreme Light Infrastructure: Report on the Grand Challenges Meeting, 27–28 April 2009, Paris, Extreme Light Infrastructure: Grand Challenges Meeting (Paris, 2009), G. Korn, P. Antici, ed., European Commission, 2009, 68–91.
Research reports:
  • 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 », arXiv:1301.4789, January 2013.
  • Bandrauk, A. D., Fillion-Gourdeau, F., Lorin de la Grandmaison, E., « Atoms and molecules in intense laser fields: gauge invariance of theory and models », arXiv:1302.2932, February 2013.
Peter Bartello

Peer-reviewed journal articles:
  • Bourouiba, L., Bartello, P., « The intermediate Rossby number range and 2D-3D transfers in decaying rotating homogeneous turbulence », Journal of Fluid Mechanics, 587 (September 2007), 139–161.
  • Spyksma, K., Bartello, P., « Small-scale moist turbulence in numerically-generated convective clouds », Journal of the Atmospheric Sciences, 65:6 (2008), 1967–1978.
  • Spyksma, K., Bartello, P., « Predictability in wet and dry convective turbulence », Journal of the Atmospheric Sciences, 65:1 (January 2008), 220–234.
  • Ngan, K., Bartello, P., Straub, D. N., « Dissipation of synoptic-scale flow by small-scale turbulence », Journal of the Atmospheric Sciences, 65:3 (March 2008), 766–791.
  • Sacher, W., Bartello, P., « Sampling errors in ensemble Kalman filtering. I: Theory », Monthly Weather Review, 136:8 (August 2008), 3035–3049.
  • Ngan, K., Bartello, P., Straub, D. N., « Predictability of rotating stratified turbulence », Journal of the Atmospheric Sciences, 66:5 (May 2009), 1384–1400.
  • Sacher, W., Bartello, P., « Sampling errors in ensemble Kalman filtering. II: Application to a barotropic model », Monthly Weather Review, 137:5 (May 2009), 1640–1654.
  • 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.
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

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.
Peer-reviewed conference proceedings:
  • Caron, F., Bélair, J., « Exploring university students' competencies in modelling », in Mathematical Modelling: Education, Engineering and Economics, Twelfth International Conference on the Teaching of Mathematical Modelling and Applications — ICTMA 12 (London, 2005), C. Haines, P. Galbraith, W. Blum, S. Khan, eds., Horwood Publ. Ltd., 2007, 120–130.
  • 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., Khouider, B., « A rigorous asymptotic perspective on the large scale simulations of turbulent premixed flame fronts », Multiscale Modeling and Simulations, 6:1 (May 2007), 287–307.
  • Barber, J., Bose, C., Bourlioux, A., Braun, J., Brunelle, É., Garcia, T., Hillen, T., Ong, B., « Burning issues with Prometheus — the Canadian wildland fire growth simulation model », Canadian Applied Mathematics Quarterly, 16:4 (2008), 337–378.
  • Bourlioux, A., Rebêlo, R., Winternitz, P., « Symmetry preserving discretization of $\operatorname{SL}(2,\mathbb{R})$ invariant equations », Journal of Nonlinear Mathematical Physics, 15:Suppl. 3 (October 2008), 362–372.
  • Babak, P., Bourlioux, A., Hillen, T., « The effect of wind on the propagation of an idealized forest fire », SIAM Journal on Applied Mathematics, 70:4 (2009), 1364–1388.
  • Bourlioux, A., Em, A., Turbis, P., « A posteriori error estimation for subgrid flamelet models », Multiscale Modeling & Simulations, 8:2 (2010), 481–497.
Tucker Carrington

Peer-reviewed journal articles:
  • Manzhos, S., Wang, X., Dawes, R., Carrington, T., « A nested molecule-independent neural network approach for high-quality potential fits », The Journal of Physical Chemistry A, 110:16, John C. Light Festschrift (April 2007), 5295–5304.
Xiao-Wen Chang

Peer-reviewed journal articles:
  • Chang, X.-W., Paige, C. C., « Euclidean distances and least squares problems for a given set of vectors », Applied Numerical Mathematics, 57:11-12 (2007), 1240–1244.
  • Chang, X.-W., Zhou, T., « MILES: MATLAB package for solving mixed integer least square problems », GPS Solutions, 11:4 (November 2007), 289–294.
  • Chang, X.-W., Han, Q., « Solving box-constrained integer least square problems », IEEE Transactions on Wireless Communications, 7:1 (January 2008), 277–287.
  • Chang, X.-W., Golub, G. H., Paige, C. C., « Towards a backward perturbation analysis for data least square problems », SIAM Journal on Matrix Analysis and Applications, 30:4 (October 2008), 1281–1301.
  • Chang, X.-W., Paige, C. C., Titley-Peloquin, D., « Characterizing matrices that are consistent with given solutions », SIAM Journal on Matrix Analysis and Applications, 30:4 (November 2008), 1406–1420.
  • Chang, X.-W., Yang, X., Le-Ngoc, T., Wang, P., « Partial regularization approach for detection problems in underdetermined linear systems », IET Communications, 3:1 (January 2009), 17–24.
Peer-reviewed conference proceedings:
  • Chang, X.-W., Yang, X., « An efficient tree search decoder with column reordering for undetermined MIMO systems », in Proceedings of the Global Communications Conference, 2007, Global Communications Conference, 2007. — GLOBECOM '07 (Washington, DC, 2007), IEEE, 2007, 4375–4379.
  • Chang, X.-W., Yang, X., « An efficient regularization approach for underdetermined MIMO systyem decoding », in Proceedings of the 2007 international conference on Wireless communications and mobile computing, 2007 International Wireless Communications and Mobile Computing Conference (Honolulu, 2007), New York, ACM, 2007, 349–353.
Rustum Choksi

Peer-reviewed journal articles:
  • 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.
Eusebius Doedel

Peer-reviewed journal articles:
  • Pando Lambruschini, C. L., Doedel, E., « $1/f$ noise in a thin stochastic layer described by the discrete nonlinear Schrödinger equation », Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, 75:1 (January 2007), 016213, 11 pages.
  • Doedel, E., Romanov, V., Paffenroth, R. C., Keller, H. B., Dichmann, D. J., Galán-Vioque, J., Vanderbauwhede, A., « Elemental periodic orbits associated with the libration points in the circular restricted 3-body problem », International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 17:8, Recent Advances in Nonlinear Dynamics (August 2007), 2625–2677.
Peer-reviewed conference proceedings:
  • Osinga, H., Krauskopf, B., Doedel, E., « Visualizing global manifolds during the transition to chaos in the Lorenz system », in Topology-Based Methods in Visualization II, Topology Methods in Visualization (Kloster Nimbschen, 2007), H.-C. Hege, K. Polthier, G. Scheuermann, eds., Mathematics and Visualization, Berlin, Springer, 2009, 115–126.
Research reports:
  • Calleja, R., Doedel, E., Humphries, A. R., Lemus Rodriguez, A., Oldeman, B., « Computing invariant manifolds and connecting orbits in the circular restricted three body problem », arXiv:1111.0032, November 2011.
Eliot Fried

Peer-reviewed journal articles:
  • Fried, E., Gurtin, M. E., « On a continuum-mechanical theory for turbulence », Note di Matematica, 27:2 (2007), 107–119.
  • Fried, E., Shklyaev, O. E., « Stability of an evaporating thin liquid film », Journal of Fluid Mechanics, 584 (2007), 157–183.
  • Fried, E., Gurtin, M. E., « Turbulent kinetic energy and a possible hierarchy of length scales in a generalization of the Navier–Stokes $\alpha$ theory », Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, 75:5 (May 2007), 056306, 10 pages.
  • Kim, T.-Y., Dolbow, J. E., Fried, E., « A numerical method for a second-gradient theory of incompressible fluid flow », Journal of Computational Physics, 223:2 (May 2007), 551–570.
  • Anderson, D. M., Cermelli, P., Fried, E., Gurtin, M. E., McFadden, G. B., « General dynamical sharp-interface conditions for phase transformations in viscous heat-conducting fluids », Journal of Fluid Mechanics, 581 (June 2007), 323–370.
  • Fried, E., Gurtin, M. E., « Thermomechanics of the interface between a body and its environment », Continuum Mechanics and Thermodynamics, 19:5 (October 2007), 253–271.
  • Shklyaev, O. E., Fried, E., « Interaction between a disclination and a uniaxial-isotropic phase interface in a nematic liquid crystal », Journal of Colloid and Interface Science, 317:1 (January 2008), 298–313.
  • Fried, E., « Rohan Abeyaratne and James K. Knowles: Evolution of phase transitions, a continuum theory », Theoretical and Computational Fluid Dynamics, 22:2 (April 2008), 151–153.
  • Chen, X., Fried, E., « Influence of the dispersive and dissipative scales $\alpha$ and $\beta$ on the energy spectrum of the Navier–Stokes $\alpha\beta$ equations », Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, 78:4 (October 2008), 046317, 10 pages.
  • Fried, E., Gurtin, M. E., « A continuum mechanical theory for turbulence: a generalized Navier–Stokes-$\alpha$ equation with boundary conditions », Theoretical and Computational Fluid Dynamics, 22:6 (November 2008), 433–470.
  • Fried, E., « Sharp-interface nematic-isotropic phase transformations with flow », Archive for Rational Mechanics and Analysis, 190:2 (22 2008), 227–265.
  • Shklyaev, O. E., Shen, A. Q., Fried, E., « Evolution equation for a disclination line located between the uniaxial and isotropic phases of a nematic liquid crystal », Journal of Colloid and Interface Science, 329:1 (January 2009), 140–152.
  • Kim, T.-Y., Cassiani, M., Albertson, J. D., Dolbow, J. E., Fried, E., Gurtin, M. E., « Impact of the inherent separation of scales in the Navier–Stokes-$\alpha\beta$ equations », Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, 79:4 (April 2009), 045307, 4 pages.
Martin J. Gander

Peer-reviewed journal articles:
  • Gander, M. J., Vandewalle, S., « Analysis of the parareal time-parallel time-integration method », SIAM Journal on Scientific Computing, 29:2 (2007), 556–578 .
  • Gander, M. J., Halpern, L., « Optimized Schwarz waveform relaxation methods for advection reaction diffusion problems », SIAM Journal on Numerical Analysis, 45:2 (2007), 666–697 .
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.
  • 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 (XXXX), accepted.
  • De Luca, J., Humphries, A. R., Rodrigues, S. B., « Finite element boundary value integration of Wheeler–Feynman electrodynamics », Journal of Computational and Applied Mathematics (XXXX), accepted.
Research reports:
  • Calleja, R., Doedel, E., Humphries, A. R., Lemus Rodriguez, A., Oldeman, B., « Computing invariant manifolds and connecting orbits in the circular restricted three body problem », arXiv:1111.0032, November 2011.
Jean-Philippe Lessard

Peer-reviewed journal articles:
  • Day, S., Lessard, J.-P., Mischaikow, K., « Validated continuation for equilibria of PDEs », SIAM Journal on Numerical Analysis, 45:4 (2007), 1398–1424.
  • van den Berg, J. B., Lessard, J.-P., « Chaotic braided solutions via rigorous numerics: chaos in the Swift–Hohenberg equation », SIAM Journal on Applied Dynamical Systems, 7:3 (2008), 988–1031.
  • Gameiro, M., Lessard, J.-P., Mischaikow, K., « Validated continuation over large parameter ranges for equilibria of PDEs », Mathematics and Computers in Simulation, 79:4 (December 2008), 1368–1382.
  • 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.
  • 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., « Rigorous numerics in Floquet theory: computing stable and unstable bundles of periodic orbits », SIAM Journal on Applied Dynamical Systems, 12:1 (2013), 204–245.
  • Castelli, R., Lessard, J.-P., « A method to rigorously enclose eigendecompositions of interval matrices », Applications of Mathematics (XXXX), accepted.
  • 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 (XXXX), accepted.
Emmanuel Lorin de la Grandmaison

Peer-reviewed journal articles:
  • Lorin de la Grandmaison, E., Ben Haj Ali, A., Soulaimani, A., « A positivity preserving finite element-finite volume solver for the Spalart-Allmaras turbulence model », Computer Methods in Applied Mechanics and Engineering, 196:17-20 (March 2007), 2097–2116.
  • Lorin de la Grandmaison, E., Ben Haj Ali, A., Soulaimani, A., « A positivity preserving finite element–finite volume solver for the Spalart–Allmaras turbulence model », Computer Methods in Applied Mechanics and Engineering, 196:17-20 (March 2007), 2097–2116.
  • Alouges, F., Le Coq, G., Lorin de la Grandmaison, E., « Two-dimensional extension of the reservoir technique for some linear advection systems », Journal of Scientific Computing, 31:3 (June 2007), 419–458.
  • Lorin de la Grandmaison, E., Chelkowski, S., Bandrauk, A. D., « A numerical Maxwell–Schrödinger model for intense laser–matter interaction and propagation », Computer Physics Communications, 177:12 (December 2007), 908–932.
  • Lorin de la Grandmaison, E., Chelkowski, S., Bandrauk, A. D., « Attosecond pulse generation from aligned molecules — dynamics and propagation in $\mathrm{H}_2^+$ », New Journal of Physics, 10 (February 2008), 025033, 21 pages.
  • Alouges, F., De Vuyst, F., Le Coq, G., Lorin de la Grandmaison, E., « The reservoir technique: a way to make Godunov-type schemes zero or very low diffuse. Application to Colella–Glaz solver », European Journal of Mechanics - B/Fluids, 27:6 (December 2008), 643–664.
  • Chalmers, N., Lorin de la Grandmaison, E., « Approximation of nonconservative hyperbolic systems based on different shock curve definitions », Canadian Applied Mathematics Quarterly, 17:3 (2009), 447–485.
  • Lorin de la Grandmaison, E., Chelkowski, S., Bandrauk, A. D., « Mathematical modeling of boundary conditions for laser-molecule time-dependent Schrödinger equations and some aspects of their numerical computation - One-dimensional case », Numerical Methods for Partial Differential Equations, 25:1 (January 2009), 110–136.
  • Labbé, S., Lorin de la Grandmaison, E., « On the reservoir technique convergence for nonlinear hyperbolic conservation laws. I », Journal of Mathematical Analysis and Applications, 356:2 (August 2009), 477–497.
  • 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.
  • 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.
  • 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., « 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.
Peer-reviewed conference proceedings:
  • Lorin de la Grandmaison, E., Chelkowski, S., Bandrauk, A. D., « Propagation effects on attosecond pulse generation », in International Conference on Lasers, Applications, and Technologies 2007: Environmental Monitoring and Ecological Applications; Optical Sensors in Biological, Chemical, and Engineering Technologies; and Femtosecond Laser Pulse Filamentation, International Conference on Lasers, Applications, and Technologies 2007 (Minsk, 2007), G. Matvienko, A. Ivanov, P. Nikitin, E, Voropay, M. Khodasevich, V. Pachenko, V. Golubev, eds., Proceedings of SPIE, Vol. 6733, Bellingham, WA, SPIE, 2007, 67332V, 11 pages.
  • Lorin de la Grandmaison, E., Chelkowski, S., Bandrauk, A. D., « A Maxwell–Schrödinger model for nonperturbative laser-molecule interaction and some methods of numerical computation », in High-Dimensional Partial Differential Equations in Science and Engineering, High-Dimensional Partial Differential Equations in Science and Engineering (Montréal. 2005), A. D. Bandrauk, M. C. Delfour, C. Le Bris, eds., CRM Proceedings & Lecture Notes, Vol. 41, Providence, RI, Amer. Math. Soc., 2007, 161–182.
  • Lorin de la Grandmaison, E., Bandrauk, A. D., « Efficient parallel computing for laser-gas quantum interaction and propagation », in 22nd International Symposium on High Performance Computing Systems and Applications, 22nd International Symposium on High Performance Computing Systems and Applications (Québec, 2008), Proceedings - High Performance Computing Systems and Applications, Los Alamitos. CA, IEEE Comput. Soc., 2008, 4–8.
  • 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.
Research reports:
  • 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 », arXiv:1301.4789, January 2013.
  • Bandrauk, A. D., Fillion-Gourdeau, F., Lorin de la Grandmaison, E., « Atoms and molecules in intense laser fields: gauge invariance of theory and models », arXiv:1302.2932, February 2013.
  • 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

Peer-reviewed journal articles:
  • Maslowe, S. A., Nigam, N., « The nonlinear critical layer for Kelvin modes on a votex with a continuous velocity profile », SIAM Journal on Applied Mathematics, 68:3 (2007), 825–843.
  • Caillol, P., Maslowe, S. A., « The small vorticity nonlinear critical layer for Kelvin modes on a vortex », Studies in Applied Mathematics, 118:3 (April 2007), 221–254.
  • 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.
Peer-reviewed conference proceedings:
  • Maslowe, S. A., Nigam, N., « Vortex Kelvin modes with nonlinear critical layers », in IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence, IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence (Moscow, 2006), A. V. Borisov, V. V. Kozlov, I. S. Mamaev, M. A. Sokolovshiy, eds., IUTAM Bookseries, Vol. 6, Dordrecht, Springer, 2008, 163–175.
  • Caillol, P., Maslowe, S. A., « Nonlinear singular Kelvin modes in a columnar vortex », in BAIL 2008 — Boundary and Interior Layers, International Conference on Boundary and Interior Layers—Computational and Asymptotic Methods (Limerick, 2008), A. F. Hegarty, N. Kopteva, E. O’Riordan, M. Stynes, eds., Lecture Notes in Computational Science and Engineering, Vol. 69, Berlin, Springer, 2009, 95–105.
Nilima Nigam

Peer-reviewed journal articles:
  • Maslowe, S. A., Nigam, N., « The nonlinear critical layer for Kelvin modes on a votex with a continuous velocity profile », SIAM Journal on Applied Mathematics, 68:3 (2007), 825–843.
  • Hsiao, G. C., Nigam, N., Sändig, A.-M., « Innovative solution of a 2D elastic transmission problem », Applicable Analysis, 86:4 (April 2007), 459–482.
  • Qazi, S., Caberlin, M., Nigam, N., « Mechanism of psychoactive drug action in the brain: Simulation modeling of GABAA receptor interactions at non-equilibrium conditions  », Current Pharmaceutical Design, 13:14 (May 2007), 1437–1455.
  • Chindelevitch, L., Nicholls, D. P., Nigam, N., « Error analysis and preconditioning for an enhanced DtN-FE algorithm for exterior scattering problems », Journal of Computational and Applied Mathematics, 204:2 (July 2007), 493–504.
  • Akchurin, T., Aïssiou, T., Kemeny, N., Prosk, E., Nigam, N., Komarova, S. V., « Complex dynamics of osteoclast formation and death in long-term cultures  », PLoS One, 3:5 (May 2008).
Peer-reviewed conference proceedings:
  • Gemmrich, S., Gopalakrishnan, J., Nigam, N., « The performance of a multigrid algorithm for the acoustic single layer equation », in Numerical Mathematics and Advanced Applications, 7th European Conference on Numerical Mathematics and Advanced Applications — ENUMATH 2007 (Graz, 2007), K. Kunisch, G. Of, O. Steinbach, eds., Berlin, Springer, 2008, 175–182.
  • Gemmrich, S., Nigam, N., Steinbach, O., « Boundary integral equations for the Laplace–Beltrami operator », in Mathematics and Computation, a Contemporary View, Third Abel Symposium (Alesund, 2006), H. Munthe-Kaas, B. Owren, ed., Abel Symposia, Vol. 3, Berlin, Springer, 2008, 21–37.
  • Maslowe, S. A., Nigam, N., « Vortex Kelvin modes with nonlinear critical layers », in IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence, IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence (Moscow, 2006), A. V. Borisov, V. V. Kozlov, I. S. Mamaev, M. A. Sokolovshiy, eds., IUTAM Bookseries, Vol. 6, Dordrecht, Springer, 2008, 163–175.
Adam M. Oberman

Peer-reviewed journal articles:
  • Oberman, A. M., « The convex envelope is the solution of a nonlinear obstacle problem », Proceedings of the American Mathematical Society, 135:6 (June 2007), 1689–1694.
  • Oberman, A. M., « Computing the convex envelope using a nonlinear partial differential equation », Mathematical Models & Methods in Applied Sciences, !8:5 (May 2008), 759–780.
  • Oberman, A. M., « Wide stencil finite difference schemes for the elliptic Monge–Ampère equation and functions of the eigenvalues of the Hessian », Discrete and Continuous Dynamical Systems. Series B, 10:1 (July 2008), 221–238.
  • Gomes, D., Oberman, A. M., « Viscosity solutions methods for converse KAM theory », M2AN. Mathematical Modelling and Numerical Analysis, 42:6 (November 2008), 1047–1064.
  • Oberman, A. M., « An explicit solution of the Lipschitz extension problem », Proceedings of the American Mathematical Society, 136:12 (December 2008), 4329–4338.
  • Oberman, A. M., Takei, R., Vladimirsky, A., « Homogenization of metric Hamilton–Jacobi equations », Multiscale Modeling & Simulations, 8:1 (2009), 269–295.
  • Froese, B. D., Oberman, A. M., « Numerical averaging of non-divergence structure elliptic operators », Communications in Mathematical Sciences, 7:4 (December 2009), 785–804.
  • 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.
Research reports:
  • Oberman, A. M., « A numerical method for variational problems with convexity constraints », arXiv:1107.5290, July 2011.
  • Oberman, A. M., « Finite difference methods for the infinity Laplace and $p$-Laplace equations », arXiv:1107.5278, July 2011.
  • Froese, B. D., Oberman, A. M., « Convergent filtered schemes for the Monge–Ampère partial differential equation », arXiv:1204.5798, April 2012.
  • Benamou, J.-D., Froese, B. D., Oberman, A. M., « Numerical solution of the optimal transportation problem via viscosity solutions for the Monge–Ampère equation », arXiv:1208.4873, August 2012.
  • Benamou, J.-D., Froese, B. D., Oberman, A. M., « Numerical solution of the optimal transportation problem using the Monge–Ampère equation », arXiv:1208.4870, 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.
Robert G. Owens

Book chapters:
  • Robertson, A. M., Sequeira, A., Owens, R. G., « Rheological models for blood », in Cardiovascular Mathematics, L. Formaggia, A. Quateroni, A. Veneziani, eds., Modeling, Simulation and Applications, Vol. 1, Milan, Springer, 2009.
  • 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:
  • Brunelle, É., Owens, R. G., van Roessel, H. J., « Gelation time in the discrete coagulation-fragmentation equations with bilinear coagulation kernel », Journal of Physics A. Mathematical and Theoretical, 40:39 (September 2007), 11749–11764.
  • Moyers-Gonzalez, M. A., Owens, R. G., Fang, J., « A non-homogeneous constitutive model for human blood. I: Model derivation and steady flow », Journal of Fluid Mechanics, 617 (December 2008), 327–354.
  • Moyers-Gonzalez, M. A., Owens, R. G., Fang, J., « A non-homogeneous constitutive model for human blood. III: Oscillatory flow », Journal of Non-Newtonian Fluid Mechanics, 155:3 (December 2008), 161–173.
  • Moyers-Gonzalez, M. A., Owens, R. G., « A non-homogeneous constitutive model for human blood. II: Asymptotic solution for large Péclet numbers », Journal of Non-Newtonian Fluid Mechanics, 155:3 (December 2008), 146–160.
  • Moyers-Gonzalez, M. A., Owens, R. G., Fang, J., « On the high frequency oscillatory tube flow of healthy human blood », Journal of Non-Newtonian Fluid Mechanics, 163:1-3 (November 2009), 45–61.
  • 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.
  • 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.
Peer-reviewed conference proceedings:
  • Delaunay, P., Lozinski, A., Owens, R. G., « Sparse tensor-product Fokker–Planck-based methods for nonlinear bead-spring chain models of dilute polymer solutions », in High-Dimensional Partial Differential Equations in Science and Engineering, Workshop on High-Dimensional Partial Differential Equations in Science and Engineering (Montréal, 2005), A. D. Bandrauk, M. C. Delfour, C. Le Bris, eds., CRM Proceedings & Lecture Notes, Vol. 41, Providence, RI, Amer. Math. Soc., 2007, 73–89.
  • Iolov, A., Bourgault, Y., Fortin, A., Kane, A. S., Owens, R. G., « Finite elements methods for a mesoscopic constitutive model of blood », in Conference Proceedings — CMBE09, 1st International Conference on Mathematical and Computational Biomedical Engineering — CMBE09 (Swansea, 2009), P. Nithiarasu, R. Löhner, R. van Loon, eds., Swansea, Swansea University, 2009.
  • 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.
Adrian Vetta

Peer-reviewed journal articles:
  • Addario-Berry, L., Olver, N., Vetta, A., « A polynomial time algorithm for finding Nash equilibria in planar win-lose games », Journal of Graph Algorithms and Applications, 11:1 (2007), 309–319.
Jian-Jun Xu

Monographs and books:
  • Xu, J.-J., Introduction of Dynamical Theory of Solidification Interfacial Stability , Chinese Academy Press, 2007.
Peer-reviewed journal articles:
  • Chen, M. W., Wang, Z. D., Xu, J.-J., « The effect of far field flow on a spherical crystal growth in the undercooled melt », Acta Mechanica Sinica, 24:6 (2008), 681–689.
  • Jiao, W. P., Xu, J.-J., Chu, J. Q., « Mathematical modelling study for water uptake of steadily growing plant root », Science in China. Series G. Physics, Mechanics & Astronomy, 51:2 (February 2008), 184–205.
  • Chen, M. W., Wang, Z. D., Xu, J.-J., « The evolution and morphological stability of a spherical crystal », Science in China, Series E. Technological Sciences, 51:3 (March 2008), 225–243.
Jean-Paul Zolésio

Monographs and books:
  • Delfour, M. C., Zolésio, J.-P., Shapes and Geometries. Metrics, analysis, differential calculus, and optimization 22, Advances in Design and Control, Vol. 22, Philadelphia, PA, SIAM, 2011.
Peer-reviewed journal articles:
  • Delfour, M. C., Zolésio, J.-P., « Uniform fat segment and cusp properties for compactness in shape optimization », Applied Mathematics and Optimization, 55:3 (May 2007), 385–419.
  • Zolésio, J.-P., « Shape-morphing metric by variational formulation for incompressible Euler flow », Journal of Control and Cybernetics, 38:4 (2009).
Peer-reviewed conference proceedings:
  • Balakrishnan, A., Zolésio, J.-P., « Optimal morphing control », in Mathematical Problems in Engineering and Aerospace Sciences: ICNPAA 2006, The Sixth International Conference on Mathematical Problems in Engineering and Aerospace Sciences, S. Sivasundaram, eds., Cambridge Science Publication, 2007, 9–16.
  • Zolésio, J.-P., Delfour, M. C., « Boundary smoothness of the solution of Maxwell's equations of electromagnetics », in System Modeling and Optimization, 23rd IFIP TC7 Conference (Cracow, 2007), A. Korytowski, K. Malanowski, W. Mitkowski, M. Szymkat, eds., IFIP Advances in Information and Communication Technology, Vol. 312, Berlin, Springer, 2009, 492–506.
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