Publications in Applied Mathematics

Professor Nils Andersson

Publications

Passamonti, A., Haskell, B., Andersson, N., Jones, D.I. and Hawke, I. (2009) Oscillations of rapidly rotating stratified neutron stars. Monthly Notices of the Royal Astronomical Society, 394, (2), 730-741. (doi:10.1111/j.1365-2966.2009.14408.x)
Glampedakis, Kostas, Samuelsson, Lars and Andersson, Nils (2008) A toy model for global magnetar oscillation. Astrophysics and Space Science, 308, (1-4), 607-611. (doi:10.1007/s10509-007-9350-x)
Samuelsson, Lars and Andersson, Nils (2008) Oscillations in the neutron star crust. Astrophysics and Space Science, 308, (1-4), 581-583. (doi:10.1007/s10509-007-9301-6)
Haskell, B., Samuelsson, L., Glampedakis, K. and Andersson, N. (2008) Modelling magnetically deformed neutron stars. Monthly Notices of the Royal Astronomical Society, 385, (1), 531-542. (doi:10.1111/j.1365-2966.2008.12861.x)
Sidery, T., Andersson, N. and Comer, G.L. (2008) Waves and instabilities in dissipative rotating superfluid neutron stars. Monthly Notices of the Royal Astronomical Society, 385, (1), 335-348. (doi:10.1111/j.1365-2966.2007.12805.x)
Glampedakis, K., Andersson, N. and Jones, D.I. (2008) Stability of precessing superfluid neutron stars. Physical Review Letters, 100, 081101-[4pp]. (doi:10.1103/PhysRevLett.100.081101)
Haskell, B, Andersson, N, Jones, D.I. and Samuelsson, L (2007) Are neutron stars with crystalline color-superconducting cores relevant for the LIGO experiment? Physical Review Letters, 99, (231101) (doi:10.1103/PhysRevLett.99.231101)
Andersson, Nils, Sidery, Trevor and Comer, Greg L (2007) Superfluid neutron star turbulence. Monthly Notices of the Royal Astronomical Society, 381, (2), 747-756. (doi:10.1111/j.1365-2966.2007.12251.x)
Samuelsson, Lars, Andersson, Nils and Maniopoulou, Asimina (2007) A characteristic approach to the quasi-normal mode problem. Classical and Quantum Gravity, 24, (16), 4147-4160. (doi:10.1088/0264-9381/24/16/010)
Glampedakis, Kostas and Andersson, Nils (2007) Lagrangian perturbation theory for rotating magnetic stars. Monthly Notices of the Royal Astronomical Society, 377, (2), 630-644. (doi:10.1111/j.1365-2966.2007.11625.x)
Andersson, Nils and Comer, Gregory L. (2007) Relativistic fluid dynamics: physics for many different scales. Living Reviews in Relativity, 10, (1), 83pp.
Samuelsson, Lars and Andersson, Nils (2007) Neutron star asteroseismology: axial crust oscillations in the Cowling approximation. Monthly Notices of the Royal Astronomical Society, 374, (1), 256-268. (doi:10.1111/j.1365-2966.2006.11147.x)
Andersson, Nils (2007) Modelling the dynamics of superfluid neutron stars. Astrophysics and Space Science, 308, 395-402. (doi:10.1007/s10509-007-9361-7)
Gusakov, M.E. and Andersson, N. (2006) Temperature dependent pulsations of superfluid neutron stars. Monthly Notices of the Royal Astronomical Society, 372, (4), 1776-1790. (doi:10.1111/j.1365-2966.2006.10982.x)
Andersson, Nils and Comer, G.L. (2006) A flux-conservative formalism for convective and dissipative multi-fluid systems, with application to Newtonian superfluid neutron stars. Classical and Quantum Gravity, 23, (18), 5505-5529. (doi:10.1088/0264-9381/23/18/003)
Andersson, N., Sidery, T. and Comer, G.L. (2006) Mutual friction in superfluid neutron stars. Monthly Notices of the Royal Astronomical Society, 368, 162-170. (doi:10.1111/j.1365-2966.2006.10147.x)
Haskell, B., Jones, D.I. and Andersson, N. (2006) Mountains on neutron stars: accreted versus non-accreted crusts. Monthly Notices of the Royal Astronomical Society, 373, (4), 1423-1439. (doi:10.1111/j.1365-2966.2006.10998.x)
Andersson, N., Glampedakis, K. and Comer, G.L. (2005) How viscous is a superfluid neutron star core? Nuclear Physics A, A763, (0375-947), 212-229.
Andersson, N., Glampedakis, K., Haskell, B. and Watts, A.L. (2005) Modelling the spin equilibrium of neutron stars in low-mass X-ray binaries without gravitational radiation. Monthly Notices of the Royal Astronomical Society, 361, (4), 1153-1164. (doi:10.1111/j.1365-2966.2005.09167.x)
Watts, A.L., Andersson, N. and Jones, D.I. (2005) The nature of low T/|W| dynamical instabilities in differentially rotating stars. The Astrophysical Journal: Letters, 618, (1), L37-L40.
Comer, G.L., Andersson, N. and Grosart, K. (2004) Lagrangian perturbation theory of nonrelativistic superfluid stars. Monthly Notices of the Royal Astronomical Society, 355, (4), 918-928. (doi:10.1111/j.1365-2966.2004.08370.x)
Kokkotas, K.D., Ruoff, J. and Andersson, N. (2004) w-mode instability of ultracompact relativistic stars. Physical Review D, 70, (4), 043003-[5pp]. (doi:10.1103/PhysRevD.70.043003)
Andersson, N., Comer, G.L. and Prix, R. (2004) The superfluid two-stream instability. Monthly Notices of the Royal Astronomical Society, 354, (1), 101-110. (doi:10.1111/j.1365-2966.2004.08166.x)
Andersson, N. and Howls, C.J. (2004) The asymptotic quasinormal mode spectrum of non-rotating black holes. Classical and Quantum Gravity, 21, (6), 1623-1642. (doi:10.1088/0264-9381/21/6/021)
Glampedakis, Kostas and Andersson, Nils (2004) Boundary-layer analysis of the core-crust interface in neutron stars. astro-ph/0411750, 1, 1-30.
Lockitch, Keith H., Andersson, Nils and Watts, Anna L. (2004) Regularizing the r-mode problem for non-barotropic relativistic stars. Classical and Quanntum Gravity, 21, (19), 4661-4675. (doi:10.1088/0264-9381/21/19/012)
Maniopoulou, Asimina and Andersson, Nils (2004) The traditional approximation in general relativity. Monthly Notices of the Royal Astronomical Society, 351, 1349-1358. (doi:10.1111/j.1365-2966.2004.07872.x)
Prix, R., Comer, G.L. and Andersson, N. (2004) Inertial modes of non-stratified superfluid neutron stars. Monthly Notices of the Royal Astronomical Society, 348, 625-637. (doi:10.1111/j.1365-2966.2004.07399.x)
Watts, Anna L., Andersson, Nils and Williams, R.L. (2004) The oscillation and stability of differentially rotating spherical shells. Monthly Notices of the Royal Astronomical Society, 350, (3), 927. (doi:10.1111/j.1365-2966.2004.07695.x)
Andersson, N., Comer, G.L. and Prix, R. (2003) Are pulsar glitches triggered by a superfluid two-stream instability? Physical Review Letters, 90, (9), 091101-[4pp]. (doi:10.1103/PhysRevLett.90.091101)
Andersson, Nils (2003) Gravitational waves from instabilities in relativistic stars. Classical and Quantum Gravity, 20, (7), R105-R144. (doi:10.1088/0264-9381/20/7/201)
Glampedakis, Kostas and Andersson, Nils (2003) 'Quick and dirty' methods for calculating black-hole resonances. Classical and Quantum Gravity, 20, (15), 3441-3463. (doi:10.1088/0264-9381/20/15/312)
Lockitch, Keith H., Friedman, John L. and Andersson, Nils (2003) Rotational modes of relativistic stars: numerical results. Physical Review D, 68, (12), 124010-[23pp]. (doi:10.1103/PhysRevD.68.124010)
Watts, A.L., Andersson, N., Beyer, H. and Schutz, B.F. (2003) The oscillation and stability of differentially rotating spherical shells: the normal mode problem. Monthly Notices of the Royal Astronomical Society, 342, (4), 1156-1168. (doi:10.1046/j.1365-8711.2003.06612.x)
Andersson, N., Comer, G.L. and Langlois, D. (2002) Oscillations of general relativistic superfluid neutron stars. Physical Review D, 66, (10), 104002-[22pp]. (doi:10.1103/PhysRevD.66.104002)
Andersson, N., Jones, D.I. and Kokkotas, K.D. (2002) Strange stars as persistent sources of gravitational waves. Monthly Notices of the Royal Astronomical Society, 337, (4), 1224-1232. (doi:10.1046/j.1365-8711.2002.05837.x)
Jones, D.I. and Andersson, N. (2002) Gravitational waves from freely precessing neutron stars. Monthly Notices of the Royal Astronomical Society, 331, (1), 203-220. (doi:10.1046/j.1365-8711.2002.05180.x)
Jones, D.I., Andersson, N. and Stergioulas, N. (2002) Time evolution of the linear perturbations of a rotating Newtonian polytrope. Monthly Notices of the Royal Astronomical Society, 334, 933-940. (doi:10.1046/j.1365-8711.2002.05566.x)
Prix, R., Comer, G.L. and Andersson, N. (2002) Slowly rotating superfluid Newtonian neutron star model with entrainment. Astronomy and Astrophysics, 381, 178-196. (doi:10.1051/0004-6361:20011499)
Watts, Anna L. and Andersson, Nils (2002) The spin evolution of nascent neutron stars. Monthly Notices of the Royal Astronomical Society, 333, (4), 943-951. (doi:10.1046/j.1365-8711.2002.05475.x)
Andersson, N. and Comer, G.L. (2001) Probing neutron-star superfluidity with gravitational-wave data. Physical Review Letters, 87, (24), 241101-[4pp]. (doi:10.1103/PhysRevLett.87.241101)
Glampedakis, Kostas and Andersson, Nils (2001) Late-time dynamics of rapidly rotating black holes. Physical Review D, 64, (10), 104021-[20pp]. (doi:10.1103/PhysRevD.64.104021)
Jones, D.I. and Andersson, N.A. (2001) Freely precessing neutron stars: model and observations. Monthly Notices of the Royal Astronomical Society, 324, (4), 811-824. (doi:10.1046/j.1365-8711.2001.04251.x)
Andersson, N. and Comer, G.L. (2001) On the dynamics of superfluid neutron star cores. Monthly Notices of the Royal Astronomical Society, 328, (4), 1129. (doi:10.1046/j.1365-8711.2001.04923.x)
Andersson, N. and Comer, G.L. (2001) Slowly rotating relativistic superfluid stars. Classical and Quantum Gravity, 18, (6), 969-1002. (doi:10.1088/0264-9381/18/6/302)
Andersson, N. and Jensen, B.P. (2001) Scattering by black holes. In, Pike, E. and Sabatier, Pierre (eds.) Scattering, Two Volume Set: Scattering and Inverse Scattering in Pure and Applied Science. London, UK, Academic Press.
Andersson, Nils and Kokkotas, Kostas D. (2001) The r-mode instability in rotating neutron stars. International Journal of Modern Physics D, 10, 381-442. (doi:10.1142/S0218271801001062)
Glampedakis, Kostas and Andersson, Nils (2001) Scattering of scalar waves by rotating black holes. Classical Quantum Gravity, 18, (10), 1939-1966. (doi:10.1088/0264-9381/18/10/309)
Kokkotas, K.D., Apostolatos, T.A. and Andersson, N. (2001) The inverse problem for pulsating neutron stars: a 'fingerprint analysis' for the supranuclear equation of state. Monthly Notices of the Royal Astronomical Society, 320, (3), 307-315. (doi:10.1046/j.1365-8711.2001.03945.x)

Dr Leor Barack

Publications

Babak, S., Baker, J.G., Benaquista, M.J., Cornish, J.C., Crowder, J., Cutler, C., Larson, S.L., Littenberg, T.B., Porter, E.K., Vallisneri, M., Vecchio, A., Auger, G., Barack, Leor, Blaut, A., Bloomer, E., Brown, D.A., Christensen, N., Clark, J., Fairhurst, S., Gair, J.R., Halloin, H., Hendry, M., Jimenez, A., Krolak, A., Mandel, I., Messenger, C., Meyer, R., Mohamty, S., Nayak, R., Petiteau, A., Pitkin, M., Plagnol, E., Prix, R., Robinson, E., Roever, C., Savov, P., Stroeer, A., Toher, J., Veitech, J., Vinet, J-Y., Wen, L., Whelan, J. and Woan, G. (2008) Report on the second Mock LISA Data Challenge. Classical and Quantum Gravity, 25, (11), 114037-[8pp]. (doi:10.1088/0264-9381/25/11/114037)
Barack, Leor, Ori, Amos and Sago, Norichika (2008) Frequency-domain calculation of the self-force: the high-frequency problem and its resolution. Physical Review D, 78, 1-16. (doi:10.1103/PhysRevD.78.084021)
Sago, Norichika, Barack, Leor and Detweiler, Steven (2008) Two approaches for the gravitational self force in black hole spacetime: comparison of numerical results. Physical Review D, 78, (124024)
Barack, Leor and Sago, Norichika (2007) Gravitational self force on a particle in circular orbit around a Schwarzschild black hole. Physical Review D, 75, (6), 064021-[25pp]. (doi:10.1103/PhysRevD.75.064021)
Barack, Leor and Cutler, Curt (2007) Using LISA EMRI sources to test off-Kerr deviations in the geometry of massive black holes. Physical Review D, 75, (4), 042003-[11pp]. (doi:10.1103/PhysRevD.75.042003)
Barack, L. and Golbourn, D.A. (2007) Scalar-field perturbations from a particle orbiting a black hole using numerical evolution in 2+1 dimensions. Physical Review D, 76, (044020)
Barack, Leor, Golbourn, Darren A. and Sago, Norichika (2007) M-mode regularization scheme for the self force in Kerr Spacetime. Physical Review D, 76, (124036), 1-17.
Barack, Leor and Lousto, Carlos O. (2005) Perturbations of Schwarzschild black holes in the Lorenz gauge: formulation and numerical implementation. Physical Review D, 72, (10), 104026-[25pp]. (doi:10.1103/PhysRevD.72.104026)
Barack, Leor and Cutler, Curt (2004) Confusion noise from LISA capture sources. Physics Review D: Particle, Fields, Gravitation, and Cosmology, 70, 122002-[21pp]. (doi:10.1103/PhysRevD.70.122002)
Barack, Leor and Cutler, Curt (2004) LISA capture sources: approximate waveforms, signal-to-noise ratios, and parameter estimation accuracy. Physical Review D, 69, (8), 082005-[24pp]. (doi:10.1103/PhysRevD.69.082005)
Gair, Jonathan R., Barack, Leor, Creighton, Teviet, Cutler, Curt, Larson, Shane L., Phinney, E. Sterl and Vallisneri, Michele (2004) Event rate estimates for LISA extreme mass ratio capture sources. Classical and Quantum Gravity, 21, S1595-S1606. (doi:10.1088/0264-9381/21/20/003)
Barack, Leor and Ori, Amos (2003) Regularization parameters for the self force in Schwarzschild spacetime: II. gravitational and electromagnetic cases. Physical Review D, 67, (2), 024029-[11pp]. (doi:10.1103/PhysRevD.67.024029)
Barack, Leor and Ori, Amos (2003) Gravitational self-force on a particle orbiting a Kerr black hole. Physical Review Letters, 90, (11), 111101-[4pp]. (doi:10.1103/PhysRevLett.90.111101)
Barack, Leor, Mino, Yasushi, Nakano, Hiroyuki, Ori, Amos and Sasaki, Misao (2002) Calculating the gravitational self-force in Schwarzschild spacetime. Physical Review Letters, 88, (9), 091101-[4pp]. (doi:10.1103/PhysRevLett.88.091101)
Barack, Leor and Lousto, Carlos O. (2002) Computing the gravitational self-force on a compact object plunging into a Schwarzschild black hole. Physical Review D, 66, (6), 061502-[5pp]. (doi:10.1103/PhysRevD.66.061502)
Barack, Leor and Ori, Amos (2002) Regularization parameters for the self-force in Schwarzschild spacetime: scalar case. Physical Review D, 66, (8), 084022-[15pp]. (doi:10.1103/PhysRevD.66.084022)
Barack, Leor (2001) Gravitational self force by mode sum regularization. Physical Review D, 64, (8), 084021-[16pp]. (doi:10.1103/PhysRevD.64.084021)
Barack, Leor and Ori, Amos (2001) Gravitational self force and gauge transformations. Physical Review D, 64, (12), 124003-[13pp]. (doi:10.1103/PhysRevD.64.124003)

Dr Giampaolo D'Alessandro

Publications

D'Alessandro, Giampaolo and Papoff, Francesco (2009) Giant subthreshold amplification in synchronously pumped optical parametric oscillators. Physical Review A: Atomic, Molecular, and Optical Physics, 80, (2), 023804. (doi:10.1103/PhysRevA.80.023804)
Daly, Keith R., D'Alessandro, Giampaolo and Kaczmarek, Malgosia (2009) Regime independent coupled-wave equations in anisotropic photorefractive media. Applied Physics B: Lasers and Optics, 95, (3), 589-596. (doi:10.1007/s00340-009-3492-1)
Pennington, R.C., D'Alessandro, G., Baumberg, J.J. and Kaczmarek, M. (2009) Spectral properties and modes of surface microcavities. Physical Review A, 79, (4), 043822-[12pp.]. (doi:10.1103/PhysRevA.79.043822)
D'Alessandro, Giampaolo and Brent Laforet, Charles (2009) Giant noise amplification in synchronously pumped optical parametric oscillators. Optics Letters, 34, (5), 614-616. (doi:10.1364/OL.34.000614)
pdf Papoff, F., D'Alessandro, G. and Oppo, G.Luca (2008) State dependent pseudo-resonances and excess noise. Physical Review Letters, 100, (12), 123905-[4pp]. (doi:10.1103/PhysRevLett.100.123905)
Pennington, R.C., D'Alessandro, G., Baumberg, J.J. and Kaczmarek, M. (2007) Tracking spatial modes in nearly hemispherical microcavities. Optics Letters, 32, (21), 3131-3133. (doi:10.1364/OL.32.003131)
Cannon, Robert C. and D'Alessandro, Giampaolo (2006) The ion channel inverse problem: neuroinformatics meets biophysics. PLOS Computational Biology, 2, (8), 0862-0869. (doi:10.1371/journal.pcbi.0020091)
D'Alessandro, D. M., Topley, A. C., Davies, M. S. and Keene, F. R. (2006) Probing the transition between the localised (Class II) and Localised-to-delocalised (Class II-III) regimes by using intervalence charge-transfer solvatochromism in a series of mixed-valence dinuclear ruthenium complexes. Chemistry - a European Journal, 12, (18), 4873-4884. (doi:10.1002/chem.200501483)
Prakash, G.Vijaya, Kaczmarek, M., Dyadyusha, A., Baumberg, J.J. and D'Alessandro, G. (2005) Control of topological defects in microstructured liquid crystal cells. Optics Express, 13, (6), 2201-2209. (doi:10.1364/OPEX.13.002201)
Brown, K. M., Donohue, D. E., D'Alessandro, G. and Ascoli, G. A. (2005) A cross-platform freeware tool for digital reconstruction of neuronal arborizations from image stacks. Neuroinformatics, 3, (4), 343-360.
Dyadyusha, A., Kaczmarek, M., Gilchrist, G. and D'Alessandro, G. (2005) Photoconductive polymer-liquid crystal systems for efficient beam control and amplification. In, Khoo, Iam-Choon (ed.) Liquid Crystals IX. Bellingham, USA, International Society for Optical Engineering, 20-24. (Proceedings of SPIE, 5936).
Garcia, Liliana, D'Alessandro, Giampaolo, Bioulac, Bernard and Hammond, Constance (2005) High-frequency stimulation in Parkinson's disease: more or less? Trends in Neurosciences, 28, (4), 209-216. (doi:10.1016/j.tins.2005.02.005)
Garcia, Liliana, D'Alessandro, Giampaolo, Fernagut, Pierre-Olivier, Bioulac, Bernard and Hammond, Constance (2005) The impact of high frequency stimulation parameters on the pattern of discharge of subthalamic neurons. Journal of Neurophysiology, 94, 3662-3669. (doi:10.1152/jn.00496.2005)
Papoff, F. and D'Alessandro, G. (2004) Spontaneous improvement of spatial coherence and frequency locking in high-pump-power multimode lasers. Physical Review A, 70, (6), 0638051-[8pp]. (doi:10.1103/PhysRevA.70.063805)
D'Alessandro, G., Papoff, F., Louvergneaux, E. and Glorieux, P. (2004) Average patterns and coherent phenomena in wide aperture lasers. Physical Review E, 69, (6), 066212-[11pp]. (doi:10.1103/PhysRevE.69.066212)
Dyadyusha, Andriy, Kaczmarek, Malgosia, Gilchrist, Graham, D'Alessandro, Giampaolo, Parka, Janusz and Dabrowski, Roman S. (2004) Surface charge screening and boundary conditions for high two-beam coupling gain in pure liquid crystals. In, Vere, Anthony W., Grote, James G. and Kajzar, Francois (eds.) Optical Materials in Defence Systems Technology. Bellingham, USA, International Society for Optical Engineering, 133-140. (Proceedings of SPIE, 5621).
Garcia, Liliana, Audin, Jacques, D'Alessandro, Giampaolo, Bioulac, Bernard and Hammond, Constance (2003) Dual effect of high frequency stimulation on subthalamic neuron activity. Journal of Neuroscience, 23, (25), 8743-8751.
Chillingworth, D.R.J., D'Alessandro, G. and Papoff, F. (2003) Explicit centre manifold reduction and full bifurcation analysis for an astigmatic Maxwell-Bloch laser. Physica D: Nonlinear Phenomena, 177, (1-4), 175-202. (doi:10.1016/S0167-2789(02)00786-8)
D'Alessandro, G. and Wheeler, A.A. (2003) Bistability of liquid crystal microcavities. Physical Review A, 67, (2), 023816-[12pp]. (doi:10.1103/PhysRevA.67.023816)
D'Alessandro, Giampaolo (2003) Axiope: data sharing using distributed catalogs. Neuroinformatics, 1, (3), 285-288.
Christensen, Thomas A., D'Alessandro, Giampaolo, Lega, Joceline and Hildebrand, John G. (2001) Morphometric modeling of olfactory circuits in the insect antennal lobe: I. Simulations of spiking local interneurons. Biosystems, 61, (2-3), 143-153. (doi:10.1016/S0303-2647(01)00163-0)

Professor Ray d'Inverno

Publications

d'Inverno, R.A., Lambert, P. and Vickers, J.A. (2006) Hamiltonian analysis of the double null 2+2 decomposition of general relativity expressed in terms of self-dual bivectors. Classical and Quantum Gravity, 23, (13), 4511-4522. (doi:10.1088/0264-9381/23/13/014)
d'Inverno, R.A., Lambert, P. and Vickers, J.A. (2006) Hamiltonian analysis of the double null 2+2 decomposition of Ashtekar variables. Classical and Quantam Gravity, 23, (11), 3747-3761. (doi:10.1088/0264-9381/23/11/005)

Professor Alistair Fitt

Publications

Fitt, A.D., Goodwin, A.R.H., Ronaldson, K.A. and Wakeham, W.A. (2009) A fractional differential equation for a MEMS viscometer used in the oil industry. [In special issue: Analysis and Numerical Approximation of Singular Problems]. Journal of Computational and Applied Mathematics, 229, (2), 373-381. (doi:10.1016/j.cam.2008.04.018)
Ismail, Zuhaila and Fitt, Alistair D. (2009) Mathematical modelling of the human eye. At, FESM Graduate School Research Showcase 2009, University of Southampton, Southampton, 07 May 2009. .
pdf Voyce, C.J., Fitt, A.D., Hayes, J.R. and Monro, T.M. (2009) Mathematical modeling of the self-pressurizing mechanism for microstructured fiber drawing. IEEE Journal of Lightwave Technology, 27, (7), 871-878. (doi:10.1109/JLT.2007.916489)
Fitt, Alistair D. (2009) Markowitz portfolio theory for soccer spread betting. IMA Journal of Management Mathematics, 20, (2), 167-184. (doi:10.1093/imaman/dpn028)
Voyce, C.J., Fitt, A.D. and Monro, T.M. (2008) Mathematical modeling as an accurate predictive tool in capillary and microstructured fiber manufacture: the effects of preform rotation. IEEE Journal of Lightwave Technology, 26, (7), 791-798. (doi:10.1109/JLT.2007.914515)
Fitt, A.D. (2008) Flow in the canal of Schlemm and its influence on primary open angle glaucoma. In, Bonilla, L.L., Moscoso, M., Platero, G. and Vega, J.M. (eds.) Progress in Industrial Mathematics at ECMI 2006. Germany, Springer, 843-847. (Mathematics in Industry, 12).
Voyce, C.J., Fitt, A.D. and Monro, T.M. (2008) The mathematical modelling of rotating capillary tubes for holey-fibre manufacture. Journal of Engineering Mathematics, 60, (1), 69-87. (doi:10.1007/s10665-006-9133-3)
pdf Ismail, Zuhaila and Fitt, Alistair D. (2008) Mathematical Modelling of flow in Schlemm's canal and its influence on primary open angle glaucoma. In, Proceedings of the Second International Conference on Science and Technology: Application in Industry & Education 2008 (ICSTIE2008). Pulau Pinang, Malaysia, Universiti Teknologi MARA, 1967-1973.
Fitt, A.D., Mason, D.P. and Moss, E.A. (2007) Group invariant solution for a pre-existing fluid-driven fracture in impermeable rock. Zeitschrift für Angewandte Mathematik und Physik (ZAMP), 58, (6), 1049-1067. (doi:10.1007/s00033-007-7038-2)
Wakeham, W.A., Assael, M.A., Atkinson, J.K., Bilek, J., Fareleira, J.M.N.A., Fitt, A.D., Goodwin, A.R.H. and Oliveira, C.M.B.P. (2007) Thermophysical property measurements: the journey from accuracy to fitness for purpose. International Journal of Thermophysics, 28, (2), 372-416. (doi:10.1007/s10765-007-0189-8)
Fitt, A.D., Lee, M.E.M. and Please, C.P. (2007) Analysis of heat flow and "channelling" in a scraped-surface heat exchanger. Journal of Engineering Mathematics, 57, (4), 407-422. (doi:10.1007/s10665-006-9097-3)
Cuminato, J.A., Fitt, A.D. and McKee, S. (2007) A review of linear and nonlinear Cauchy singular integral and integro-differential equations arising in mechanics. Journal of Integral Equations and Applications, 19, (2), 163-207. (10.1216/jiea/1182525213)
Fitt, A.D. and Gonzalez, G. (2006) Fluid mechanics of the human eye: aqueous humour flow in the anterior chamber. Bulletin of Mathematical Biology, 68, (1), 53-71. (doi:10.1007/s11538-005-9015-2)
Fitt, A.D., Howls, C.J. and Kabelka, M. (2006) Valuation of soccer spread bets. Journal of the Operational Research Society, 57, (8), 975-985. (doi:10.1057/palgrave.jors.2602062)
Goodwin, A.R.H., Fitt, A.D., Ronaldson, K.A. and Wakeham, W.A. (2006) A vibrating plate fabricated by the methods of microelectromechanical systems (MEMS) for the simultaneous measurement of density and viscosity: results for argon at temperatures between 323 and 423K at pressure up to 68 MPa. International Journal of Thermophysics, 27, (6), 1650-1676. (doi:10.1007/s10765-006-0114-6)
Goodwin, Anthony R.H., Donzier, Eric P., Vancauwenberghe, Olivier, Fitt, Alistair D., Ronaldson, Kelly A., Wakeham, William A., De Lara, Maria Manrique, Marty, Frederic and Mercier, Bruno (2006) A vibrating edge supported plate, fabricated by the methods of micro electro mechanical system for the simultaneous measurement of density and viscosity: results for methylbenzene and octane at temperatures between (323 and 423) K and pressures in the range (0.1 to 68) MPa. Journal of Chemical & Engineering Data, 51, (1), 190-208. (doi:10.1021/je0503296)
Ronaldson, K.A., Fitt, A.D., Goodwin, A.R.H. and Wakeham, W.A. (2006) Transversely oscillating MEMS viscometer: the "Spider". International Journal of Thermophysics, 27, (6), 1677-1695. (doi:10.1007/s10765-006-0115-5)
Sun, K.-H., Pyle, D.L., Baines, M.J., Hall-Taylor, N. and Fitt, A.D. (2006) Velocity profiles and frictional pressure drop for shear thinning materials in lid-driven cavities with fully developed axial flow. Chemical Engineering Science, 61, (14), 4697-4706. (doi:10.1016/j.ces.2006.03.005)
Buikis, A., Ciegis, R. and Fitt, A.D. (eds.) (2004) Progress in Industrial Mathematics at ECMI 2002, Guildford, UK, Springer, 410pp. (Mathematics in Industry: The European Consortium for Mathematics in Industry, 5)
Fitt, A.D., Kozyreff, G. and Ockendon, J.R. (2004) Inertial levitation. Journal of Fluid Mechanics, 508, 165-174. (doi:10.1017/S0022112004009218)
Fitt, A.D. and Mphaka, M.J.S. (2004) Asymptotic and numerical aspects of a nonlinear singular integro-differential equation for dryout in a LMFBR boiler. In, Buikis, A., Ciegis, R. and Fitt, A.D. (eds.) Progress in Industrial Mathematics at ECMI 2002 (Mathematics in Industry)., Springer, 265-269.
Fitt, A.D., Ockendon, J.R. and Please, C.P. (2004) Free boundary problems in the steel industry. Chinese Journal of Engineering Mathematics, 21, (3), 285-306.
Fitt, A.D. and Please, C.P. (2004) On the separation of coconuts: a modeling week study. SIAM Review, 46, (1), 128-139. (doi:10.1137/S003614450342106X)
Sun, K-H., Pyle, D.L., Fitt, A.D., Please, C.P., Baines, M.J. and Hall-Taylor, N. (2004) Numerical study of 2D heat transfer in a scraped surface heat exchanger. Computers and Fluids, 33, (5-6), 869-880. (doi:10.1016/j.compfluid.2003.06.009)
Voyce, C.J., Fitt, A.D. and Monro, T.M. (2004) Mathematical model of the spinning of microstructured fibres. Optics Express, 12, (23), 5810-5820.
Braun, R.J. and Fitt, A.D. (2003) Modelling drainage of the precorneal tear film after a blink. Mathematical Medicine and Biology, 20, (1), 1-28. (doi:10.1093/imammb/20.1.1)
pdf Gonzalez, G. and Fitt, A.D. (2003) The mathematical modelling of human eyes - a PHD study. Mathematics Today, 39, 20-25.
Fitt, A.D., Furusawa, K., Monro, T.M., Please, C.P. and Richardson, D.J. (2002) The mathematical modelling of capillary drawing for holey fibre manufacture. Journal of Engineering Mathematics, 43, (2-4), 201-227. (doi:10.1023/A:1020328606157)
Canning, C.R., Dewynne, J.N., Fitt, A.D. and Greaney, M.J. (2002) Fluid flow in the anterior chamber of a human eye. Mathematical Medicine and Biology: A Journal of the IMA, 19, (1), 31-60. (doi:10.1093/imammb/19.1.31)
Fitt, A.D., Howell, P.D., King, J.R., Please, C.P. and Schwendeman, D.A. (2002) Multiphase flow in a roll press nip. European Journal of Applied Mathematics, 13, (3), 225-259. (doi:10.1017/S0956792501004636)
Fitt, A.D. and Owen, J.R. (2002) Simultaneous measurements of conductivity and thickness for polymer electrolyte films: a simulation study. Journal of Electroanalytical Chemistry, 538-539, 13-23. (doi:10.1016/S0022-0728(02)01174-9)
Fitt, A.D., Please, C.P., Furusawa, K. and Monro, T.M. (2002) Modelling fiber drawing: capillary manufacture. In, Technical Digest. Summaries of Papers Presented at the Lasers and Electro-Optics, 2002. CLEO '02., IEEE, 20-21.
González, G. and Fitt, A.D. (2002) A mathematical model for tonometry. In, Buikis, A., Ciegis, R. and Fitt, A.D. (eds.) Progress in Industrial Mathematics at ECMI 2002. Berlin Heidelberg, Germany, Springer-Verlag, 285-290. (Mathematics in Industry: The European Consortium for Mathematics in Industry, 5).
Voyce, C.J., Fitt, A.D. and Monro, T.M. (2002) Mathematical modelling of the drawing of spun capillary tubes. In, Buikis, A., Ciegis, R. and Fitt, A.D. (eds.) Progress in Industrial Mathematics at ECMI 2002. Berlin Heidelberg, Germany, Springer-Verlag, 387-391. (Mathematics in Industry: The European Consortium for Mathematics in Industry, 5).
Cumberbatch, Ellis and Fitt, Alistair (eds.) (2001) Mathematical modeling: case studies from industry, Cambridge, UK, Cambridge University Press, 299pp.
Fitt, A.D. (2001) Determining the viscosity of a carbon paste used in smelting. In, Cumberbatch, E. and Fitt, A.D. (eds.) Mathematical Modeling: Case Studies from Industry. Cambridge, UK, Cambridge University Press, 46-65.
Fitt, A.D., Furusawa, K., Monro, T.M. and Please, C.P. (2001) Modeling the fabrication of hollow fibres: capillary drawing. Journal of Lightwave Technology, 19, (12), 1924-1931. (doi:10.1109/50.971686)
Fitt, A.D. and Please, C.P. (2001) Asymptotic analysis of the flow of shear-thinning foodstuffs in annular scraped heat exchangers. Journal of Engineering Mathematics, 39, (1), 345-366. (doi:10.1023/A:1004834004732)
Fitt, A.D. and Pope, M.P. (2001) De-icing by slot injection. Acta Mechanica, 147, (1-4), 73-86. (doi:10.1007/BF01182353)
Fitt, A.D. and Pope, M.P. (2001) The unsteady motion of two-dimensional flags with bending stiffness. Journal of Engineering Mathematics, 40, (3), 227-248. (doi:10.1023/A:1017595632666)

Dr Carsten Gundlach

Publications

Garfinkle, D., Gundlach, C. and Hilditch, D. (2008) Comments on Bona–Massó-type slicing conditions in long-term black hole evolutions. Classical and Quantum Gravity, 25, (7), 075007-[23pp]. (doi:10.1088/0264-9381/25/7/075007)
Gundlach, Carsten and Martín-García, José M. (2007) Critical phenomena in gravitational collapse. Living Reviews in Relativity, 10, (5)
Calabrese, Gioel and Gundlach, Carsten (2006) Discrete boundary treatment for the shifted wave equation. Classical and Quantum Gravity, 23, (16), S343-S368. (doi:10.1088/0264-9381/23/16/S04)
Gundlach, Carsten and Martín-García, José M. (2006) Hyperbolicity of second-order in space systems of evolution equations. Classical and Quantum Gravity, 23, (16), S387-S404. (doi:10.1088/0264-9381/23/16/S06)
Calabrese, Gioel, Gundlach, Carsten and Hilditch, David (2006) Asymptotically null slices in numerical relativity: mathematical analysis and spherical wave equation. Classical and Quantum Gravity, 23, 4829-4845. (doi:10.1088/0264-9381/23/15/004)
Gundlach, Carsten and Martín-García, José M. (2006) Well-posedness of formulations of the Einstein equations with dynamical lapse and shift conditions. Physical Review D, 74, (2), 024016-[19]. (doi:10.1103/PhysRevD.74.024016)
Gundlach, Carsten, Calabrese, Gioel, Hinder, Ian and Martin-Garcia, José M. (2005) Constraint damping in the Z4 formulation and harmonic gauge. Classical and Quantum Gravity, 22, (17), 3767-3773. (doi:10.1088/0264-9381/22/17/025)
Garfinkle, David and Gundlach, Carsten (2005) Well-posedness of the scale-invariant tetrad formulation of the vacuum Einstein equations. Classical and Quantum Gravity, 22, (13), 2679-2686. (doi:10.1088/0264-9381/22/13/011)
Gundlach, Carsten and Martín-García, José M. (2004) Symmetric hyperbolic form of systems of second-order evolution equations subject to constraints. Physical Review D, 70, (4), 044031-[14pp]. (doi:10.1103/PhysRevD.70.044031)
Gundlach, Carsten and Martín-García, José M. (2004) Symmetric hyperbolicity and consistent boundary conditions for second-order Einstein equations. Physical Review D, 70, (4), 044032-[16pp]. (doi:10.1103/PhysRevD.70.044032)
Gundlach, Carsten and Martín-García, José M. (2003) Kinematics of discretely self-similar spherically symmetric spacetimes. Physical Review D, 68, (6), 064019-[11pp]. (doi:10.1103/PhysRevD.68.064019)
Carr, B.J. and Gundlach, Carsten (2003) Spacetime structure of self-similar spherically symmetric perfect fluid solutions. Physical Review D, 67, (2), 024035-[13pp]. (doi:10.1103/PhysRevD.67.024035)
Gundlach, Carsten (2003) Critical phenomena in gravitational collapse. Physics Reports, 376, (6), 339-405. (doi:10.1016/S0370-1573(02)00560-4)
Martín-García, José M. and Gundlach, Carsten (2003) Global structure of Choptuik's critical solution in scalar field collapse. Physical Review D, 68, (2), 024011-[25pp]. (doi:10.1103/PhysRevD.68.024011)
Garfinkle, David and Gundlach, Carsten (2002) Perturbations of an exact solution for (2+1) -dimensional critical collapse. Physical Review D, 66, (4), 044015-[4pp]. (doi:10.1103/PhysRevD.66.044015)
Martin-Garcia, Jose M. and Gundlach, Carsten (2002) Self-similar spherically symmetric solutions of the massless Einstein-Vlasov system. Physical Review D, 65, (8), 084062-[18pp]. (doi:10.1103/PhysRevD.65.084026)
Gundlach, Carsten (2002) Critical gravitational collapse of a perfect fluid: nonspherical perturbations. Physical Review D, 65, (8), 084021-[22pp]. (doi:10.1103/PhysRevD.65.084021)
Gundlach, Carsten (2002) Critical gravitational collapse with angular momentum: from critical exponents to scaling functions. Physical Review D, 65, (6), 064019-[10pp]. (doi:10.1103/PhysRevD.65.064019)
Brady, Patrick R., Choptuik, Matthew W., Gundlach, Carsten and Neilsen, David W. (2002) Black-hole threshold solutions in stiff fluid collapse. Classical and Quantum Gravity, 19, (24), 6359-6375. (doi:10.1088/0264-9381/19/24/306)
Martin-Garcia, José M. and Gundlach, Carsten (2001) Gauge-invariant and coordinate-independent perturbations of stellar collapse. II: Matching to the exterior. Physical Review D, 64, (2), 024012-[14pp]. (doi:10.1103/PhysRevD.64.024012)

Dr Ian Hawke

Publications

Passamonti, A., Haskell, B., Andersson, N., Jones, D.I. and Hawke, I. (2009) Oscillations of rapidly rotating stratified neutron stars. Monthly Notices of the Royal Astronomical Society, 394, (2), 730-741. (doi:10.1111/j.1365-2966.2009.14408.x)
Zink, B., Stergioulas, N., Hawke, I., Ott, C., Schnetter, E. and Muller, E. (2007) Non-axisymmetric instability and fragmentation of general relativistic quasi-toroidal stars. Physical Review D, 76, (2), 024019. (10.1103/PhysRevD.76.024019)
Ott, C.D., Dimmelmeier, H., Marek, A., Janka, H.-T., Hawke, I., Zink, B. and Schnetter, E. (2007) 3D collapse of rotating stellar iron cores in general relativity with microphysics. Physical Review Letters, 98, (26), 261101-[4pp]. (doi:10.1103/PhysRevLett.98.261101)
Baiotti, Luca, Hawke, Ian and Rezzolla, Luciano (2007) On the gravitational radiation from the collapse of neutron stars to rotating black holes. Classical and Quantum Gravity (10.1088/0264-9381/24/12/S13)
Ott, Christian D., Dimmelmeier, Harald, Marek, Andreas, Janka, Hans-Thomas, Zink, Burkhard, Hawke, Ian and Schnetter, Erik (2007) Rotating collapse of stellar iron cores in general relativity. Classical and Quantum Gravity, 24, (12), S139-S154. (10.1088/0264-9381/24/12/S10)
Baiotti, Luca, Hawke, Ian, Rezzolla, Luciano and Schnetter, Erik (2007) Details on the gravitational-wave emission from rotating gravitational collapse in 3D. Journal of Physics: Conference Series, 66, 012045-[10pp]. (doi:10.1088/1742-6596/66/1/012045)
Brown, David, Sarbach, Olivier, Schnetter, Erik, Tiglio, Manuel, Diener, Peter, Hawke, Ian and Pollney, Denis (2007) Excision without excision. Physical Review D, 76, 081503(R). (doi:10.1103/PhysRevD.76.081503)
Stergioulas, Nikolaos, Kokkotas, Kostas and Hawke, Ian (2006) W-modes in rotating relativistic stars. AIP Conference Proceedings, 848, 730-737. (doi:10.1063/1.2348051)
Zink, B., Stergioulas, N., Hawke, I., Ott, C., Schnetter, E. and Muller, E. (2006) Formation of supermassive black holes through fragmentation of torodial supermassive stars. Physical Review Letters, 96, (16), 161101-[4pp]. (doi:10.1103/PhysRevLett.96.161101)
Alcubierre, Miguel, Brügmann, Bernd, Diener, Peter, Guzmán, F. Siddhartha, Hawke, Ian, Hawley, Scott, Herrmann, Frank, Koppitz, Michael, Pollney, Denis, Seidel, Edward and Thornburg, Jonathan (2005) Dynamical evolution of quasi-circular binary black hole data. Physical Review D, 72, (4), 044004-[14pp]. (doi:10.1103/PhysRevD.72.044004)
Hawke, Ian, Löffler, Frank and Nerozzi, Andrea (2005) Excision methods for high resolution shock capturing schemes applied to general relativistic hydrodynamics. Physical Review D, 71, (10), 104006-[12pp]. (doi:10.1103/PhysRevD.71.104006)
Babiuc, Maria, Szilágyi, Béla, Hawke, Ian and Zlochower, Yosef (2005) Gravitational wave extraction based on Cauchy-characteristic extraction and characteristic evolution. Classical and Quantum Gravity, 22, (23), 5089-5107. (doi:10.1088/0264-9381/22/23/011)
Baiotti, L., Hawke, I., Rezzolla, L. and Schnetter, E. (2005) Gravitational-wave emission from rotating gravitational collapse in three dimensions. Physical Review Letters, 94, (13), 131101-[4pp]. (doi:10.1103/PhysRevLett.94.131101)
Baiotti, Luca, Hawke, Ian, Montero, Pedro J., Löffler, Frank, Rezzolla, Luciano, Stergioulas, Nikolaos, Font, José A. and Seidel, Ed (2005) Three-dimensional relativistic simulations of rotating neutron star collapse to a Kerr black hole. Physical Review D, 71, (2), 024035-[30pp]. (doi:10.1103/PhysRevD.71.024035)
Schnetter, Erik, Hawley, Scott H. and Hawke, Ian (2004) Evolutions in 3D numerical relativity using fixed mesh refinement. Classical and Quantum Gravity, 21, (6), 1465-1488. (doi:10.1088/0264-9381/21/6/014)
Hawke, I. and Stewart, J.M. (2002) Dynamics of primordial black hole formation. Classical and Quantum Gravity, 19, (14), 3687-3707. (doi:10.1088/0264-9381/19/14/310)

Dr Chris Howls

Publications

Howls, Chris (2008) A guide to the warped ways of the world: a review of "Curved Spaces: From Classical Geometries to Elementary Differential Geometry" by P.M.H. Wilson, and other books. Times Higher Educational Supplement
Howls, Christoper J. (2008) On the use of Z-transforms in the summation of transseries for partial differential equations: 塵も積もれば山となる. In, Aoki, T, Majima, H, Takei, Y and Tose, N (eds.) Algebraic Analysis of Differential Equations from Microlocal Analysis to Exponential Asymptotics: Festschrift in Honor of Takahiro Kawai., Springer, 8pp. (Springer Titles in Analysis).
Chapman, S.J., Howls, C.J., King, J.R. and Olde Daalhuis, A.B. (2007) Why is a shock not a caustic? The higher order Stokes phenomenon and smoothed shock formation. Nonlinearity, 20, (10), 2425-2452. (doi:10.1088/0951-7715/20/10/009)
Fitt, A.D., Howls, C.J. and Kabelka, M. (2006) Valuation of soccer spread bets. Journal of the Operational Research Society, 57, (8), 975-985. (doi:10.1057/palgrave.jors.2602062)
Howls, C.J. (2005) Beyond the data crunch. Times Higher Educational Supplement: Textbook Guide, 22, 1-16.
Howls, C.J. (2005) When is a Stokes line not a Stokes line? I. The higher order Stokes phenomenon. In, Recent Trends in Exponential Asymptotics. Kyoto, Japan, Research Institute for Mathematical Sciences, 1-16. (RIMS Kokyuroku, 1424).
Howls, C.J. (2005) When is a Stokes Line not a Stokes Line? II. Examples involving differential equations. In, Recent Trends in Exponential Asymptotics. Kyoto, Japan, Research Institute for Mathematical Sciences, 17-34. (RIMS Kokyuroku, 1424).
Howls, C.J. (2005) When is a Stokes Line not a Stokes Line? III. Real Consequences of the Higher Order Stokes Phenomenon. In, Recent Trends in Exponential Asymptotics. Kyoto, Japan, Research Institute for Mathematical Sciences, 35-52. (RIMS Kokyuroku, 1424).
Howls, Christopher (2004) When more can be less: book review. Times Higher Education Supplement, (1668), p.VI.
Andersson, N. and Howls, C.J. (2004) The asymptotic quasinormal mode spectrum of non-rotating black holes. Classical and Quantum Gravity, 21, (6), 1623-1642. (doi:10.1088/0264-9381/21/6/021)
Howls, C.J., Langman, P.J. and Daalhuis, A.B.O. (2004) On the higher order Stokes phenomenon. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 460, (2048), 2285-2303. (doi:10.1098/rspa.2004.1299)
Howls, C.J. (2003) Review of "Wave Motion". Times Higher Educational Supplement, 4003-4016.
Howls, C.J. and Daalhuis, A.B.Olde (2003) Hyperasymptotic solutions of inhomogeneous linear differential equations with a singularity of rank one. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 459, (2038), 2599-2612. (doi:10.1098/rspa.2003.1149)
Howls, Christopher (2003) Book review. Asymptotics and mellin–barnes integrals (Encyclopedia of Mathematics and its Applications 85) by R.B. Paris and D. Kaminski: 422 pp., £65.00 (US$95.00), ISBN 0 521 79001 8 (Cambridge University Press, 2001). Bulletin of the London Mathematical Society, 35, (1), 135-144. (doi:10.112/S0024609302211868)
Wright, M.C.M., Howls, C.J. and Welch, B.A. (2003) Periodic orbit calculations of modecount functions for elastic plates. In, Eighth International Conference on Recent Advances in Structural Dynamics, Southampton, UK, 14-16 Jul 2003. , 4003-4016.
Alvarez, Gabriel, Howls, Christopher J. and Silverstone, Harris J. (2002) Anharmonic oscillator discontinuity formulae up to second exponentially small order. Journal of Physics A: Mathematical and General, 35, (18), 4003-4016. (doi:10.1088/0305-4470/35/18/302)
Alvarez, Gabriel, Howls, Christopher J. and Silverstone, Harris J. (2002) Dispersive hyperasymptotics and the anharmonic oscillator. Journal of Physics A: Mathematical and General, 35, (18), 4017-4042. (doi:10.1088/0305-4470/35/18/303)
Delabaere, E. and Howls, C.J. (2002) Global asymptotics for multiple integrals with boundaries. Duke Mathematical Journal, 112, (2), 199-264. (doi:10.1215/S0012-9074-02-11221-6)
Howls, C.J. (2001) Weyl series for Aharonov-Bohm billiards. Journal of Physics A: Mathematics and General, 34, 7811-7831. (doi:10.1088/0305-4470/34/38/308)

Dr Ian Jones

Publications

Passamonti, A., Haskell, B., Andersson, N., Jones, D.I. and Hawke, I. (2009) Oscillations of rapidly rotating stratified neutron stars. Monthly Notices of the Royal Astronomical Society, 394, (2), 730-741. (doi:10.1111/j.1365-2966.2009.14408.x)
Glampedakis, K., Andersson, N. and Jones, D.I. (2008) Stability of precessing superfluid neutron stars. Physical Review Letters, 100, 081101-[4pp]. (doi:10.1103/PhysRevLett.100.081101)
Haskell, B, Andersson, N, Jones, D.I. and Samuelsson, L (2007) Are neutron stars with crystalline color-superconducting cores relevant for the LIGO experiment? Physical Review Letters, 99, (231101) (doi:10.1103/PhysRevLett.99.231101)
Abbott, B., Abbott, R., Adhikari, R., Jones, D.I. and LIGO Scientific Collaboration, (2007) Upper limits on gravitational wave emission from 78 radio pulsars. Physical Review D, 76, (4), 042001-[20pp]. (doi:10.1103/PhysRevD.76.042001)
Abbott, B., Abbott, R., Adhikari, R., Jones, D.I. and LIGO Scientific Collaboration, (2007) First cross-correlation analysis of interferometric and resonant-bar gravitational-wave data for stochastic backgrounds. Physical Review D, 76, (2), 022001-[17pp]. (doi:10.1103/PhysRevD.76.022001)
Abbott, B., Abbott, R., Adhikari, R., et al, , Jones, D.I. and LIGO Scientific Collaboration, (2007) Searching for a stochastic background of gravitational waves with the Laser Interferometer Gravitational-Wave Observatory. The Astrophysical Journal, 659, (1), 918-930. (doi:10.1086/511329)
Jones, D.I. (2007) Astrophysical input for gravitational wave searches. Astrophysics and Space Science, 308, 125. (doi:10.1007/s10509-007-9324-z)
Abbott, B., Abbott, R., Adhikari, R., Jones, D.I. and LIGO Scientific Collaboration, (2006) Joint LIGO and TAMA300 search for gravitational waves from inspiralling neutron star binaries. Physical Review D, 73, (10), 102002-[10pp]. (doi:10.1103/PhysRevD.73.102002)
Abbott, B., Abbott, R., Adhikari, R., et al, and, Jones, D.I. and LIGO Scientific Collaboration, (2006) Search for gravitational waves from binary black hole inspirals in LIGO data. Physical Review D, 73, (6), 062001-[17pp]. (doi:10.1103/PhysRevD.73.062001)
Haskell, B., Jones, D.I. and Andersson, N. (2006) Mountains on neutron stars: accreted versus non-accreted crusts. Monthly Notices of the Royal Astronomical Society, 373, (4), 1423-1439. (doi:10.1111/j.1365-2966.2006.10998.x)
Abbott, B., Abbott, R., Adhikari, R., et al, and, Jones, D.I. and LIGO Scientific Collaboration, (2005) Upper limits from the LIGO and TAMA detectors on the rate of gravitational-wave bursts. Physical Review D, 72, (12), 122004-[16pp]. (doi:10.1103/PhysRevD.72.122004)
Abbott, B., Abbott, R., Adhikari, R., et al, and, Jones, D.I. and LIGO Scientific Collaboration, (2005) Upper limits on a stochastic background of gravitational waves. Physical Review Letters, 95, (22), 221101-[6pp]. (doi:10.1103/PhysRevLett.95.221101)
Abbott, B., Abbott, R., Adhikari, R., Jones, D.I. and LIGO Scientific Collaboration, (2005) First all-sky upper limits from LIGO on the strength of periodic gravitational waves using the Hough transform. Physical Review D, 72, (10), 102004-[22pp]. (doi:10.1103/PhysRevD.72.102004)
Jones, D.I. (2005) Bounding the mass of the graviton using eccentric binaries. Astrophysical Journal: Letters, 618, (2, part 2), L115-L118. (doi:10.1086/427773)
Abbott, B., Abbott, R., Adhikari, R., et al, , Jones, D.I. and LIGO Scientific Collaboration, (2005) Search for gravitational waves from primordial black hole binary coalescences in the galactic halo. Physical Review D, 72, (8), 082002-[8pp]. (doi:10.1103/PhysRevD.72.082002)
Abbott, B., Abbott, R., Adhikari, R. and Jones, D.I. (2005) Limits on gravitational-wave emission from selected pulsars using LIGO data. Physical Review Letters, 94, (18), 181103-[6pp]. (doi:10.1103/PhysRevLett.94.181103)
Abbott, B., Abbott, R., Adhikari, R. and Jones, D.I. (2005) Search for gravitational waves associated with the gamma ray burst GRB030329 using the LIGO detectors. Physical Review D, 72, (4), 042002-[17pp]. (doi:10.1103/PhysRevD.72.042002)
Abbott, B., Abbott, R., Adhikari, R. and Jones, D.I. (2005) Search for gravitational waves from galactic and extra-galactic binary neutron stars. Physical Review D, 72, (8), 082001-[22pp]. (doi:10.1103/PhysRevD.72.082001)
Abbott, B., Abbott, R., Adhikari, R. and Jones, D.I. (2005) Upper limits on gravitational wave bursts in LIGO's second science run. Physical Review D, 72, (6), 062001-[25pp]. (doi:10.1103/PhysRevD.72.062001)
Watts, A.L., Andersson, N. and Jones, D.I. (2005) The nature of low T/|W| dynamical instabilities in differentially rotating stars. The Astrophysical Journal: Letters, 618, (1), L37-L40.
Jones, D.I. (2004) Is timing noise important in the gravitational wave detection of neutron stars? Physical Review D, 70, (4), 042002-[9pp]. (doi:10.1103/PhysRevD.70.042002)
Jones, D.I. (2002) Gravitational waves from rotating strained neutron stars. Classical and Quantum Gravity, 19, (7), 1255-1265. (doi:10.1088/0264-9381/19/7/304)
Andersson, N., Jones, D.I. and Kokkotas, K.D. (2002) Strange stars as persistent sources of gravitational waves. Monthly Notices of the Royal Astronomical Society, 337, (4), 1224-1232. (doi:10.1046/j.1365-8711.2002.05837.x)
Jones, D.I. and Andersson, N. (2002) Gravitational waves from freely precessing neutron stars. Monthly Notices of the Royal Astronomical Society, 331, (1), 203-220. (doi:10.1046/j.1365-8711.2002.05180.x)
Jones, D.I., Andersson, N. and Stergioulas, N. (2002) Time evolution of the linear perturbations of a rotating Newtonian polytrope. Monthly Notices of the Royal Astronomical Society, 334, 933-940. (doi:10.1046/j.1365-8711.2002.05566.x)
Jones, D.I. and Andersson, N.A. (2001) Freely precessing neutron stars: model and observations. Monthly Notices of the Royal Astronomical Society, 324, (4), 811-824. (doi:10.1046/j.1365-8711.2001.04251.x)
Cutler, Curt and Jones, David Ian (2001) Gravitational wave damping of neutron star wobble. Physical Review D, 63, (2), 024002-[9pp]. (doi:10.1103/PhysRevD.63.024002)

Dr Marvin Jones

Publications

Jones, M.A. and Shelley, M.J. (2005) Falling cards. Journal of Fluid Mechanics, 540, 393-425. (doi:10.1017/S0022112005005859)
Jones, M.A. and Smith, F.T. (2003) Fluid motion for car undertrays in ground effect. Journal of Engineering Mathematics, 45, (3-4), 309-334. (doi:10.1023/A:1022626814273)
Jones, Marvin A. (2003) The separated flow of an inviscid fluid around a moving flat plate. Journal of Fluid Mechanics, 496, 405-441. (doi:10.1017/S0022112003006645)
Smith, F.T. and Jones, M.A. (2003) AVM modelling by multi-branching tube flow: large flow rates and dual solutions. Mathematical Medicine and Biology, 20, (2), 183-204. (doi:10.1093/imammb/20.2.183)

Professor Ronald King

Publications

King, R.C., Welsh, T.A. and Jarvis, P.D. (2007) The mixed two-qubit system and the structure of its ring of local invariants. Journal of Physics A: Mathematical and Theoretical, 40, (33), 10083-10108. (doi:10.1088/1751-8113/40/33/011)
Hamel, A.M and King, R.C. (2007) Bijective proofs of shifted tableau and alternating sign matrix identities. Journal of Algebraic Combinatorics, 25, (4), 417-458. (doi:10.1007/s10801-006-0044-1)
King, R.C. and Welsh, T.A. (2007) Coloured generalised Young diagrams for affine Weyl-Coxeter groups. Electronic Journal of Combinatorics, 14, (1), 1-64. (R13)
Frey, J.G., King, R.C. and Moss, R.E. (2006) Multiphoton transitions for the harmonic oscillator. Molecular Physics, 104, (15), 2523-2525. (doi:10.1080/00268970600798038)
King, R.C. (2006) Brian Wybourne and Schur functions. In, King, R.C., Bylicki, M. and Karwowski, J. (eds.) Symmetry, Spectroscopy and SCHUR, Proceedings of Prof B.G, Wybourne Commemorative Meeting, Torun. Torun, Poland, Nicolaus Copernicus University Press, 163-171.
King, R.C., Bylicki, M. and Karwowski, J. (eds.) (2006) Symmetry, Spectroscopy and SCHUR: Proceedings of the Professor Brian G. Wybourne Commemorative Meeting, Toruń, Poland, Toruń, Poland, Nicolaus Copernicus University Press, 382pp.
Fauser, B., Jarvis, P.D. and King, R.C. (2006) A Hopf algebraic appoach to the theory of group branchings. In, King, R.C., Bylicki, M. and Karwowski, J. (eds.) Symmetry, Spectroscopy and SCHUR, Proceedings of Prof B.G, Wybourne Commemorative Meeting, Toruń. Toruń, Poland, Nicolaus Copernicus University Press, 75-86.
Fauser, B., Jarvis, P.D., King, R.C. and Wybourne, B.G. (2006) New branching rules induced by plethysm. Journal of Physics A: Mathematical and General, 39, (11), 2611-2655. (doi:10.1088/0305-4470/39/11/006)
King, R.C., Stoilova, N.I. and Van der Jeugt, J. (2006) Representations of the Lie superalgebra gl(1|n) in a Gel'fand-Zetlin basis and Wigner quantum oscillators. Journal of Physics A: Mathematical and General, 39, 5763-5785. (doi:10.1088/0305-4470/39/20/010)
King, R.C. and Welsh, T.A. (2006) Qubits and invariant theory. Journal of Physics: Conference Series, 30, 1-8. (doi:10.1088/1742-6596/30/1/001)
Welsh, T.A., Jarvis, P.D. and King, R.C. (2006) Invariants of mixed qubit systems. In, King, R.C., Bylicki, M. and Karwowski, J. (eds.) Symmetry, Spectroscopy and SCHUR, Proceedings of Prof B.G, Wybourne Commemorative Meeting, Torun. Torun, Poland, Nicolaus Copernicus University Press, 315-323.
Hamel, A.M. and King, R.C. (2005) U-turn alternating sign matrices, symplectic shifted tableaux and their weighted enumeration. Journal of Algebraic Combinatorics, 21, (4), 395-421. (doi:10.1007/s10801-005-3019-8)
King, R.C., Palev, T., Stoilova, N.I. and Van der Jeugt, J. (2005) The n-particle Wigner quantum oscillator: non-commutative coordinates and physical properties. In, Pogosyan, G.S., Vincent, G. and Wolf, K.B. (eds.) Proceedings of the 25th ICGTMP. Bristol, UK, Institute of Physics, 545-550. (Institute of Physics Conference Series).
King, R.C., Tollu, C. and Toumazet, F. (2004) Stretched Littlewood-Richardson coefficients and Kostka coefficients. In, Winternitz, P., Harnard, J., Lam, C.S. and Patera, J. (eds.) Symmetry in Physics: In Memory of Robert T. Sharp. Providence, USA, AMS / OUP, 99-112. (CRM Proceedings & Lecture Notes 34).
King, R.C., Toumazet, F. and Wybourne, B.G. (2004) The square of the Vandermonde determinant and its q-generalisation. Journal of Physics A: Mathematical and General, 37, 735-767. (doi:10.1088/0305-4470/37/3/015)
Van der Jeugt, J., King, R.C., Stoilova, N.I. and Palev, T.D. (2004) On the n-particle Wigner quantum oscillator: non-commutative coordinates and particle localisation. In, Doebner, H.-D. and Dobrev, V. (eds.) Lie Theory and its Applications in Physics V: Proceedings of the Fifth International Workshop, Varna, Bulgaria 16-22 June 2003. Singapore, World Scientific Publishing, 4337-4362.
King, R.C., Palev, T.D., Stoilova, N.I. and Van der Jeugt, J. (2003) A non-commutative n-particle 3D Wigner quantum oscillator. Journal of Physics A: Mathematical and General, 36, 11999-12019. (doi:10.1088/0305-4470/36/48/007)
King, R.C., Palev, T.D., Stoilova, N.I. and Van der Jeugt, J. (2003) The non-commutative and discrete spatial structure of a 3D Wigner quantum oscillator. Journal of Physics A: Mathematical and General, 36, (15), 4337-4362. (doi:10.1088/0305-4470/36/15/309)
Hamel, A.M. and King, R.C. (2002) Symplectic shifted tableaux and deformations of Weyl's denominator formula for sp(2n). Journal of Algebraic Combinatorics, 16, (3), 269-300. (doi:10.1023/A:1021804505786)
King, R.C. and Wybourne, B.G. (2002) Multiplicity free tensor products of irreducible representations of the exceptional Lie groups. Journal of Physics A: Mathematical and General, 35, 3489-3513. (doi:10.1088/0305-4470/35/15/310)
Burdik, C., King, R.C. and Welsh, T.A. (2001) The explicit construction of irreducible representations of the quantum algebras U_q(sl(n)). In, New Developments in Fundamental Interaction Theories: 37th Karpacz Winter School of Theoretical Physics. New York, USA, American Institute of Physics, 158-169. (AIP Conference Proceedings 589).
King, R.C. (2001) Branching rules and weight multiplicities for simple and affine Lie algebras. In, Saint-Aubin, Y. and Vinet, L. (eds.) Algebraic Methods in Physics: A Symposium for the 60th Birthdays of Jiri Patera and Pavel Winternitz. New York, USA, Springer, 121-133. (CRM Series in Mathematical Physics).
King, R.C. (2001) Weyl's denominator identity and its deformations. In, Lulek, T., Lulek, B. and Wal, A. (eds.) Symmetry and Structural Properties of Condensed Matter: Proceedings of the Sixth International School of Theoretical Physics, Myczkowce, Poland. Singapore, World Scientific, 138-151.
King, Ronald C. (2001) Progress on numerator formulae expansions for affine Kac-Moody algebras. Annals of Combinatorics, 5, (3-4), 381-395.

Professor Colin Please

Publications

Friedrich, Daniel, Please, Colin and Melvin, Tracy (2008) Optimisation of analyte transport in integrated microfluidic affinity sensors for the quantification of low levels of analyte. Sensors and Actuators B: Chemical, 131, (1), 323-332. (doi:10.1016/j.snb.2007.11.034)
Sengers, Bram G., Please, Colin P. and Oreffo, Richard O.C. (2007) Experimental characterization and computational modelling of two-dimensional cell spreading for skeletal regeneration. Journal of the Royal Society Interface, 4, (17), 1107-1117. (doi:10.1098/rsif.2007.0233)
Sengers, Bram G., Taylor, Mark, Please, Colin P. and Oreffo, Richard O.C. (2007) Computational modelling of cell spreading and tissue regeneration in porous scaffolds. Biomaterials, 28, (10), 1926-1940. (doi:10.1016/j.biomaterials.2006.12.008)
Fitt, A.D., Lee, M.E.M. and Please, C.P. (2007) Analysis of heat flow and "channelling" in a scraped-surface heat exchanger. Journal of Engineering Mathematics, 57, (4), 407-422. (doi:10.1007/s10665-006-9097-3)
Sexton, C.J., Anthony, D.K., Lewis, C.M., Please, C.P. and Keane, A.J. (2006) Design of experiment algorithms for assembled products. Journal of Quality Technology, 38, (4), 298-308.
MacArthur, Ben D., Tare, Rahul S., Please, Colin P., Prescott, Philip and Oreffo, Richard O.C. (2006) A non-invasive method for in situ quantification of subpopulation behaviour in mixed cell culture. Journal of the Royal Society Interface, 3, (6), 63-69. (doi:10.1098/rsif.2005.0080)
MacArthur, B.D., Tare, R.S., Please, C.P., Prescott, P. and Oreffo, R.C. (2006) A Non-invasive method for in situ Quantification of Subpopulation behaviour in Mixed Cell culture. Journal of the Royal Society Interface, 3, (6), 63-69. (doi:10.1098/rsif.2005.0080)
Schley, D., Carare-Nnadi, R., Please, C.P., Perry, V.H. and Weller, R.O. (2006) Mechanisms to explain the reverse perivascular transport of solutes out of the brain. Journal of Theoretical Biology, 238, (4), 962-974. (doi:10.1016/j.jtbi.2005.07.005)
pdf Muir, A.C., Wellington, I.T., Daniell, G.J., Eason, R.W., Mailis, S. and Please, C.P. (2005) Modelling of UV direct-write waveguides in single crystal lithium niobate. In, CLEO/Europe-IQEC 2007, Munich, Germany, 17-22 Jun 2007. , 1pp.
Farrell, T.W. and Please, C.P. (2005) The Modelling of Primary Alkaline Battery Cathodes: A Simplified Model for porous manganese oxide particle discharge. Journal of Electrochemical Society, 152, (10), A1930-A1941. (doi:10.1149/1.2001528)
Jones, M.B., Please, C.P., McElwain, M.B., Fulford, D.L.S., Roberts, G.R. and Collins, A.P. (2005) Dynamics of tear film deposition and draining. Mathematical Medicine and Biology, 22(3), 265-288. (doi:10.1093/imammb/dqi012)
Lewis, Miranda C., MacArthur, Ben D., Malda, Jos, Pettet, Graeme and Please, Colin P. (2005) Heterogeneous proliferation within engineered cartilaginous tissue: the role of oxygen tension. Biotechnology and Bioengineering, 91, (5), 607-615. (doi:10.1002/bit.20508)
MacArthur, B.D., Please, C.P. and Pettet, G.J. (2005) A mathematical model of dynamic glioma-host interactions: receptor-mediated invasion and local proteolysis. Mathematical Medicine and Biology, 22, (3), 247-264. (doi:10.1093/imammb/dqi010)
MacArthur, B.D., Please, C.P., Taylor, M. and Oreffo, R.O.C. (2004) Mathematical modelling of skeletal repair. Biochemical and Biophysical Research Communications, 313, (4), 825-833. (doi:10.1016/j.bbrc.2003.11.171)
Borucki, Leonard J., Witelsi, Thomas, Please, Colin, Kramer, Peter R. and Schwendeman, Donald (2004) A theory of pad conditioning for chemical-mechanical polishing. Journal of Engineering Mathematics, 50, (1), 1-24. (doi:10.1023/B:ENGI.0000042116.09084.00)
Dupplaw, David P., Brunson, David, Vine, Anna-Jane E., Please, Colin P., Lewis, Susan M., Dean, Angela M., Keane, Andy J. and Tindall, Marcus J. (2004) A web-based knowledge elicitation system (GISEL) for planning and assessing group screening experiments for product development. Journal of Computing and Information Science in Engineering, 4, (3), 218-225. (doi:10.1115/1.1778192)
Fitt, A.D., Ockendon, J.R. and Please, C.P. (2004) Free boundary problems in the steel industry. Chinese Journal of Engineering Mathematics, 21, (3), 285-306.
Fitt, A.D. and Please, C.P. (2004) On the separation of coconuts: a modeling week study. SIAM Review, 46, (1), 128-139. (doi:10.1137/S003614450342106X)
Gac, A., Atkinson, J.K., Zhang, Z., Sexton, C.J., Lewis, S.M., Please, C.P. and Sion, Russell (2004) Investigation of the fabrication parameters of thick film oxide-PVC pH electrodes using experimental designs. Microelectronics International, 21, (3), 44-53. (doi:10.1108/13565360410549710)
MacArthur, Ben D. and Please, Colin P. (2004) Residual stress generation and necrosis formation in multi-cell tumour spheroids. Journal of Mathematical Biology, 49, (6), 537-552. (doi:10.1007/s00285-004-0265-7)
Sun, K-H., Pyle, D.L., Fitt, A.D., Please, C.P., Baines, M.J. and Hall-Taylor, N. (2004) Numerical study of 2D heat transfer in a scraped surface heat exchanger. Computers and Fluids, 33, (5-6), 869-880. (doi:10.1016/j.compfluid.2003.06.009)
pdf Anthony, D.K., Sexton, C.J., Charlston, W.B., Keane, A.J., Lewis, S.M. and Please, C.P. (2003) An efficient experiment methodology to investigate product design: an acoustic sounder case study. In, Proceedings of the International Conference on Managing Innovative Manufacturing (MIM2003), Aalborg, Denmark, 22-23 Sep 2003. .
Anthony, D.K., Sexton, C.J., Charlston, W.B., Keane, A.J., Lewis, S.M. and Please, C.P. (2003) An efficient experiment methodology to investigate product design: an acoustic sounder case study. In, Proceedings of the International Conference on Managing Innovative Manufacturing., Emerald Group Publishing, 291-302.
Dupplaw, D., Brunson, D., Vine, A.E., Please, C.P., Lewis, S.M., Dean, A.M., Keane, A.J. and Tindall, M.J. (2003) Web-based knowledge elicitation and application to planned experiments for product development. In, ASME Design Engineering Technology Conference, Chicago, Illinois, 2 Sept - 6 Sept 2003. ASME International.
Please, C.P., Liu, F. and McElwain, D.L.S. (2003) Condensed phase combustion travelling waves with sequential exothermic or endothermic reactions. Combustion Theory and Modelling, 7, 129-143. (doi:10.1088/1364-7830/7/1/307)
Please, C.P., McGuinness, M. J. and McElwain, D.L.S. (2003) Approximations to the DAEM for Coal Pyrolysis. Combustion and Flame, 133, (1-2), 107-117. (doi:10.1016/S0010-2180(02)00554-0)
Fitt, A.D., Furusawa, K., Monro, T.M., Please, C.P. and Richardson, D.J. (2002) The mathematical modelling of capillary drawing for holey fibre manufacture. Journal of Engineering Mathematics, 43, (2-4), 201-227. (doi:10.1023/A:1020328606157)
Fitt, A.D., Howell, P.D., King, J.R., Please, C.P. and Schwendeman, D.A. (2002) Multiphase flow in a roll press nip. European Journal of Applied Mathematics, 13, (3), 225-259. (doi:10.1017/S0956792501004636)
Fitt, A.D., Please, C.P., Furusawa, K. and Monro, T.M. (2002) Modelling fiber drawing: capillary manufacture. In, Technical Digest. Summaries of Papers Presented at the Lasers and Electro-Optics, 2002. CLEO '02., IEEE, 20-21.
Self, R.H., Please, C.P. and Sluckin, T.J. (2002) Deformation of nematic liquid crystals in an electric field. European Journal of Applied Mathematics, 13, (1), 1-23. (doi:10.1017/S0956792501004740)
Landman, K.A. and Please, C.P. (2001) Tumour dynamics and necrosis: surface tension and stability. Mathematical Medicine and Biology: A Journal of the IMA, 18, (2), 131-158. (doi:10.1093/imammb/18.2.131)
Fitt, A.D., Furusawa, K., Monro, T.M. and Please, C.P. (2001) Modeling the fabrication of hollow fibres: capillary drawing. Journal of Lightwave Technology, 19, (12), 1924-1931. (doi:10.1109/50.971686)
Fitt, A.D. and Please, C.P. (2001) Asymptotic analysis of the flow of shear-thinning foodstuffs in annular scraped heat exchangers. Journal of Engineering Mathematics, 39, (1), 345-366. (doi:10.1023/A:1004834004732)
Pettet, G.J., Please, C.P., Tindall, M.J. and McElwain, D.L.S. (2001) The migration of cells in multicell tumour spheroids. Bulletin of Mathematical Biology, 63, (2), 231-257. (doi:10.1006/bulm.2000.0217)
Please, C.P. (2001) Paper tension variations in a printing press. In, Cumberbatch, Ellis and Fitt, Alistair (eds.) Mathematical Modelling: Case Studies from Industry. Cambridge, UK, Cambridge University Press, 169-182.
Sexton, C.J., Lewis, S.M. and Please, C.P. (2001) Experiments for derived factors with an industrial application. In, Proceedings of the Fifth Iranian Statistics Conference, Isfahan, Iran, 22-24 August 2000. , 169-182.
Sexton, C.J., Lewis, S.M. and Please, C.P. (2001) Experiments for derived factors with application to hydraulic gear pumps. Journal of the Royal Statistical Society: Series C (Applied Statistics), 50, (2), 155-170. (doi:10.1111/1467-9876.00226)

Dr Janne Ruostekoski

Publications

Ruostekoski, Janne (2009) Optical kagome lattice for ultracold atoms with nearest neighbor interactions. Physical Review Letters, 103, 0804061-0804064. (doi:10.1103/PhysRevLett.103.080406)
Shrestha, Uttam, Javanainen, Juha and Ruostekoski, Janne (2009) Quantum dynamics of instability-induced pulsations of a Bose-Einstein condensate in an optical lattice. Physical Review A, 79, (4), 043617-[13pp]. (doi:10.1103/PhysRevA.79.043617)
Monteiro, T.S., Rançon, A. and Ruostekoski, J. (2009) Nonlinear resonances in delta-kicked Bose-Einstein condensates. Physical Review Letters, 102, (1), 014102-[4pp.]. (doi:10.1103/PhysRevLett.102.014102)
Ruostekoski, J., Javanainen, J. and Dunne, G.V. (2008) Manipulating atoms in an optical lattice: fractional fermion number and its optical quantum measurement. Physical Review A, 77, 013603-[18pp]. (doi:10.1103/PhysRevA.77.013603)
Ruostekoski, J. and Dutton, Zachary (2007) Dynamical and energetic instabilities in multicomponent Bose-Einstein condensates in optical lattices. Physical Review A, 76, (6), 063607-[1pp]. (doi:10.1103/PhysRevA.76.063607)
Isella, L. and Ruostekoski, J. (2006) Quantum dynamics in splitting a harmonically trapped Bose-Einstein condensate by an optical lattice: truncated Wigner approximation. Physical Review A, 74, (6), 063625-[16pp]. (doi:10.1103/PhysRevA.74.063625)
Javanainen, J. and Ruostekoski, J. (2006) Symbolic calculation in development of algorithms: Split-step methods for the Gross-Pitaevskii equation. Journal of Physics A: Mathematical and General, 39, (12), L179-L184. (doi:10.1088/0305-4470/39/12/L02)
Ruostekoski, J. and Isella, L. (2005) Dissipative quantum dynamics of bosonic atoms in a shallow 1D optical lattice. Physical Review Letters, 95, (11), 110403-[4pp]. (doi:10.1103/PhysRevLett.95.110403)
Isella, Lorenzo and Ruostekoski, Janne (2005) Nonadiabatic dynamics of a Bose-Einstein condensate in an optical lattice. Physical Review A, 72, (1), 011601R-[4pp]. (doi:10.1103/PhysRevA.72.011601)
Ruostekoski, Janne and Dutton, Zachary (2005) Engineering vortex rings and systems for controlled studies of vortex interactions in Bose-Einstein condensates. Physical Review A, 72, (6), 063626-[14pp]. (doi:10.1103/PhysRevA.72.063626)
Dutton, Zachary and Ruostekoski, Janne (2004) Transfer and storage of vortex states in light and matter waves. Physical Review Letters, 93, (19), 193602-[4pp]. (doi:10.1103/PhysRevLett.93.193602)
Ruostekoski, J. (2004) Stable particlelike solitons with multiply-quantized vortex lines in Bose-Einstein condensates. Physical Review A, 70, (4), 041601R-[4pp]. (doi:10.1103/PhysRevA.70.041601)
Javanainen, Juha and Ruostekoski, Janne (2003) Optical detection of a fractional particle number in an atomic Fermi-Dirac gas. Physical Review Letters, 91, (15), 150404-[4pp]. (doi:10.1103/PhysRevLett.91.150404)
Savage, C.M. and Ruostekoski, J. (2003) Dirac monopoles and dipoles in ferromagnetic spinor Bose-Einstein condensates. Physical Review A, 68, (4), 043604-[6pp]. (doi:10.1103/PhysRevA.68.043604)
Ruostekoski, J., Gasenzer, T. and Hutchinson, D.A.W. (2003) Pulsed Raman output coupler for an atom laser. Physical Review A, 68, (1), 011604-[4pp]. (doi:10.1103/PhysRevA.68.011604)
Ruostekoski, J. and Anglin, J.R. (2003) Monopole core instability and Alice rings in spinor Bose-Einstein condensates. Physics Review Letters, 91, (19), 190402-[4pp]. (doi:10.1103/PhysRevLett.91.190402)
Savage, C.M. and Ruostekoski, J. (2003) Energetically stable particlelike skyrmions in a trapped Bose-Einstein condensate. Physics Review Letters, 91, (1), 010403-[4pp]. (doi:10.1103/PhysRevLett.91.010403)
Ruostekoski, Janne, Dunne, Gerald V. and Javanainen, Juha (2002) Particle number fractionilization of an atomic Fermi-Dirac gas in an optical lattice. Physical Review Letters, 88, (18), 180401-[4pp]. (doi:10.1103/PhysRevLett.88.180401)
Ruostekoski, J. and Anglin, J.R. (2001) Creating vortex rings and three-dimensional Skyrmions in Bose-Einstein condensates. Physical Review Letters, 86, (18), 3934-3937. (doi:10.1103/PhysRevLett.86.3934)
Ruostekoski, J. (2001) Schroedinger cat state of a Bose-Einstein condensate in a double-well potential, BERLIN, HEIDELBERGER PLATZ 3, D-14197 BERLIN, GERMANY, SPRINGER-VERLAG BERLIN (LECTURE NOTES IN PHYSICS, 561)
Ruostekoski, J., Kneer, B., Schleich, W.P. and Rempe, G. (2001) Interference of a Bose-Einstein condensate in a hard-wall trap: from nonlinear Talbot effect to formation of vorticity. Physical Review A, 63, (4), 043613-[7pp]. (doi:10.1103/PhysRevA.63.043613)

Professor Timothy Sluckin

Publications

Zadorozhnyi, V.I., Sluckin, T.J., Reshetnyak, V.Y. and Thomas, K.S. (2008) The Frederiks effect and related phenomena in ferronematic materials. SIAM Journal of Applied Mathematics, 68, (6), 1688-1716. (doi:10.1137/070703831)
Llobera, M and Sluckin, T.J. (2007) Zigzagging: theoretical insights on climbing strategies. Journal of Theoretical Biology, 249, (2), 206-217. (doi:10.1016/j.jtbi.2007.07.020)
Sluckin, Tim (2007) Is evolution good for the Jews. Jewish Quarterly, (206), 23-30.
Gorkunov, M.V., Giesselman, F., Lagerwall, J.P.F, Sluckin, T.J. and Osipov, M.A. (2007) Molecular model for de-Vries-type smectic A-smectic C phase transition in liquid crystals. Physical Review E, 75, (6), 06701R-[4pp]. (doi:10.1103/PhysRevE.75.060701)
Reshetnyak, Victor Yu, Shelestiuk, Sergii M., Subota, Svitlana L., Pavliuchenko, Svitlana and Sluckin, Timothy J. (2007) Theoretical modeling of heterogeneous liquid crystal systems: nano-suspensions and polymer-stabilized LC lens. In, Glogarova, Milada, Palffy-Muhoray, Peter and Copic, Martin (eds.) Liquid Crystals and Applications in Optics. Bellingham, USA, International Society for Optical Engineering, 658709-658720. (Proceedings of SPIE, 6587).
Sluckin, T.J. (2007) Fluidos fora da lei, Lisbon, Portugal, IST Press, 253pp.
pdf Li, F., Buchnev, O., Cheon, C.I., Glushchenko, A., Reshetnyak, V., Reznikov, Y., Sluckin, T.J. and West, J.L (2006) Orientational coupling amplification in ferroelectric nematic colloids. Physical Review Letters, 97, (14), 147801-[4pp]. (doi:10.1103/PhysRevLett.97.147801)
Ilyina, V., Cox, S.J. and Sluckin, T.J. (2006) A computational approach to the optical Fredericksz transition. Optics Communications, 260, (2), 474-480. (doi:10.1016/j.optcom.2005.11.028)
pdf Reshetnyak, V.Yu., Shelestiuk, S.M. and Sluckin, T.J. (2006) Fredericksz transition threshold in nematic liquid crystals filled with ferroelectric nano-particles. Molecular Crystals and Liquid Crystals, 454, 603-608. (doi:10.1080/15421400600654108)
Sluckin, T.J. and Poniewierski, A. (2006) The writhing on the wall: first comprehensive steps toward a comprehensive theory of liquid crystal surfaces. Liquid Crystals, 33, (11-12), 1255-1280. (doi:10.1080/02678290601140423)
Zadorozhnii, V.I., Vasilev, A.N., Reshetnyak, Victor Yu., Thomas, K.S. and Sluckin, T.J. (2006) Nematic director response in ferronematic cells. Europhysics Letters, 73, (3), 408-414. (doi:10.1209/epl/i2005-10406-6)
Popa-Nita, V., Sluckin, T.J. and Kralj, S. (2005) Waves at the nematic-isotropic interface: thermotropic nematogen-non-nematogen mixtures. Physical Review E, 71, (6), 061706-[13pp]. (doi:10.1103/PhysRevE.71.061706)
Kiselev, A.D. and Sluckin, T.J. (2005) Twist of cholesteric liquid crystal cells: stability of helical structure and anchoring energy effects. Physical Review E, 71, (3), 031704-[11pp]. (doi:10.1103/PhysRevE.71.031704)
Biscari, Paolo and Sluckin, Timothy J. (2005) Field-induced motion of nematic disclinations. SIAM Journal on Applied Mathematics, 65, (6), 2141-2157. (doi:10.1137/040618898)
Popa-Nita, V., Oswald, P. and Sluckin, T.J. (2005) Waves at the nematic-isotropic interface. Molecular Crystals Liquid Crystals, 435, 875-892. (doi:10.1080/15421400590955299)
Sluckin, T.J (2005) Ueber die natur der kristallinischen Flussigkeiten und flüssigen Kristalle (The early history of liquid crystals). Bunsen Magazin, Sept 2005, 122-127.
pdf Ambrozic, M., Kralj, S., Sluckin, T.J., Zumer, S. and Svensek, D. (2004) Annihilation of edge dislocations in smectic A liquid crystals. Physical Review E, 70, (5), 051704-[12pp]. (doi:10.1103/PhysRevE.70.051704)
Schley, David, Doncaster, C. Patrick and Sluckin, Tim (2004) Population models of sperm-dependent parthenogenesis. Journal of Theoretical Biology, 229, (4), 559-572. (doi:10.1016/j.jtbi.2004.04.031)
Atkin, R.J., Sluckin, T.J. and Stewart, I.W. (2004) Reflections on the life and work of Frank Leslie. Journal of Non-Newtonian Fluid Mechanics, 119, (1-3), 7-23. (doi:10.1016/j.jnnfm.2004.03.011)
Hazelwood, L.D. and Sluckin, T.J. (2004) Quasi-mesoscopic model for ferroelectric switching in the chevron geometry. Liquid Crystals, 31, (5), 683-695. (doi:10.1080/02678290410001670601)
Ilyina, V., Cox, S.J. and Sluckin, T.J. (2004) FDTD method for light interaction with liquid crystals. Molecular Crystals and Liquid Crystals, 422, 1-10. (doi:10.1080/15421400490501932)
Sluckin, Timothy J., Dunmur, David A. and Stegemeyer, Horst (2004) Crystals that flow: classic papers from the history of liquid crystals, London, UK, Taylor and Francis, 738pp. (The Liquid Crystal Book Series)
Vasilev, A.N., Pinkevich, I.P. and Sluckin, T.J. (2004) Correlations in the director-orientation fluctuations in the presence of microscopic impurities in a nematic liquid crystal. Journal of Experimental and Theoretical Physics Letters, 80, (5), 326-329. (doi:10.1134/1.1825115)
Zadorozhnii, V.I., Burylov, S.V., Pinkevich, I.P., Reshetnyak, V.Y. and Sluckin, T.J. (2004) Adsorption phenomena and macroscopic properties of ferronematics caused by orientational interactions. Molecular Crystals & Liquid Crystals, 409, (1), 285-292. (doi:10.1080/15421400490431417)
Kent, Adam, Doncaster, C. Patrick and Sluckin, Tim (2003) Consequences for predators of rescue and Allee effects on prey. Ecological Modelling, 162, (3), 233-245. (doi:10.1016/S0304-3800(02)00343-5)
Atkin, R.J. and Sluckin, T.J. (2003) Frank Matthews Leslie (Biographical Memoirs). Biographical Memoirs of Fellows of the Royal Society of London, 49, 315-333.
msword Atkin, R.J. and Sluckin, T.J. (2003) Frank Matthews Leslie (obituary). Biographical Memoirs of Fellows of the Royal Society, 49, 315-333.
pdf Biscari, P. and Sluckin, T.J. (2003) Expulsion of disclinations in nematic liquid crystals. European Journal of Applied Mathematics, 14, (1), 39-59. (doi:10.1017/S0956792502005016)
Vicente Alonso, E., Wheeler, A.A. and Sluckin, T.J. (2003) Non-linear dynamics of a nematic liquid crystal in the presence of a shear flow. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 459, (2029), 195-220. (doi:10.1098/rspa.2002.1019)
Burylov, S.V., Zadorozhnii, V.I., Pinkevich, I.P., Reshetnyak, V.Y. and Sluckin, T.J. (2002) Weak anchoring effects in ferronematic systems. Journal of Magnetism and Magnetic Materials, 252, 153-155. (doi:10.1016/S0304-8853(02)00619-4)
pdf Burylov, S.V., Zadorozhnii, V.I., Pinkevich, I.P., Reshetnyak, V.Yu. and Sluckin, T.J. (2002) Magnetic field induced orientational bistability in a ferronematic cell. Molecular Crystals Liquid Crystals, 375, 525-534. (doi:10.1080/10587250210569)
Kiselev, A.D., Reshetnyak, V.Y. and Sluckin, T.J. (2002) Light scattering by optically anisotropic scatterers: T-matrix theory for radial and uniform anisotropies. Physical Review E, 65, (5), 056609-[16pp]. (doi:10.1103/PhysRevE.65.056609)
Kiselev, A.D., Reshetnyak, V.Y. and Sluckin, T.J. (2002) T-matrix theory of light scattering by uniformly anisotropic spherical scatterers. Molecular Crystals and Liquid Crystals, 375, 373-386. (doi:10.1080/10587250210608)
Lednei, Mikhailo, Pinkevich, Igor, Reshetnyak, Victor and Sluckin, Timothy (2002) Light scattering by large-scale director inhomogeneities in filled liquid crystals. Molecular Crystals and Liquid Crystals, 375, 423-431. (doi:10.1080/10587250210567)
Luckhurst, G.R., Saielli, G. and Sluckin, T.J. (2002) Shear-induced structural changes of a smectic-A phase: a computer simulation study. Physical Review E, 65, (4), 041717-[12pp]. (doi:10.1103/PhysRevE.65.041717)
Popa-Nita, V. and Sluckin, T.J. (2002) Surface modes at the nematic-isotropic interface. Physical Review E, 66, (4), 041703-[8pp]. (doi:10.1103/PhysRevE.66.041703)
Self, R.H., Please, C.P. and Sluckin, T.J. (2002) Deformation of nematic liquid crystals in an electric field. European Journal of Applied Mathematics, 13, (1), 1-23. (doi:10.1017/S0956792501004740)
Andrienko, D., Reznikov, Y., Reshetnyak, V. and Sluckin, T.J. (2001) Nematic director slippage: role of the angular momentum of light. Physical Review E, 63, (1), 011701-[7pp].
Kiselev, A.D., Reshetnyak, V.Y. and Sluckin, T.J. (2001) Generalised Mie theory of light scattering by an annular anisotropic layer: anisotropy effects. In, Klimusheva, Gertruda V. and Iljin, Andrey G. (eds.) Eighth International Conference on Nonlinear Optics of Liquid and Photorefractive Crystals. Bellingham, USA, International Society for Optical Engineering, 16-25. (Proceedings of SPIE, 4418).
Lednei, M.F., Pinkevich, I.P., Reshetnyak, V.Yu. and Sluckin, T.J. (2001) Rayleigh-Gans theory of light scattering by liquid crystals filled with cylindrical particles. Journal of Molecular Liquids, 92, (1-2), 139-146. (doi:10.1016/S0167-7322(01)00186-6)
Lednei, M.F., Pinkevich, I.P. and Sluckin, T.J. (2001) Light scattering by liquid crystals in anomalous-diffraction approach. Condensed Matter Physics, 4, (2(26)), 299-305.
Slavinec, M., Kralj, S., Zumer, S. and Sluckin, T.J. (2001) Surface depinning of smectic-A dislocations. Physical Review E, 63, (3), 031705-[6pp]. (doi:10.1103/PhysRevE.63.031705)

Professor James Vickers

Publications

Steinbauer, R. and Vickers, J.A. (2009) On the Geroch-Traschen class of metrics. Classical and Quantum Gravity, 26, (065001), 1-19. (doi:10.1088/0264-9381/26/6/065001)
Kunzinger, Michael, Steinbauer, Roland and Vickers, James A. (2009) Sheaves of nonlinear generalized functions and manifold-valued distributions. Transactions of the American Mathematical Society, 361, 5177-5192. (doi:10.1090/S0002-9947-09-04621-2)
Vickers, J.A. (2006) Weak singularities in general relativity. International Journal of Modern Physics A. Particles and Fields, Gravitation, Cosmology, Nuclear Physics, 17, (20), 2779. (doi:10.1142/S0217751X02012065)
d'Inverno, R.A., Lambert, P. and Vickers, J.A. (2006) Hamiltonian analysis of the double null 2+2 decomposition of general relativity expressed in terms of self-dual bivectors. Classical and Quantum Gravity, 23, (13), 4511-4522. (doi:10.1088/0264-9381/23/13/014)
Steinbauer, R. and Vickers, J.A. (2006) The use of generalised functions and distributions in general relativity. Classical and Quantum Gravity, 23, (10), R91-R114. (doi:10.1088/0264-9381/23/10/R01)
d'Inverno, R.A., Lambert, P. and Vickers, J.A. (2006) Hamiltonian analysis of the double null 2+2 decomposition of Ashtekar variables. Classical and Quantam Gravity, 23, (11), 3747-3761. (doi:10.1088/0264-9381/23/11/005)
Kunzinger, Michael, Schichl, Hermann, Steinbauer, Roland and Vickers, James A. (2005) Global Gronwall estimates for integral curves on Riemannian manifolds. Revista Matemática Complutense, 19, (1), 133-137.
Kunzinger, Michael, Steinbauer, Roland and Vickers, James A. (2005) Generalised connections and curvature. Mathematical Proceedings of the Cambridge Philosophical Society, 139, (3), 497-521. (doi:10.1017/S0305004105008649)
Kunzinger, Michael, Oberguggenberger, Michael, Steinbauer, Roland and Vickers, James A. (2004) Generalized flows and singular ODEs on differentiable manifolds. Acta Applicandae Mathematicae: An International Survey Journal on Applying Mathematics and Mathematical Applications, 80, (2), 221-241. (doi:10.1023/B:ACAP.0000013815.32211.24)
Kunzinger, Michael, Steinbauer, Roland and Vickers, James A. (2003) Intrinsic characterization of manifold-valued generalized functions. Proceedings of the London Mathematical Society, 87, (2), 451-470. (doi:10.1112/S0024611503014229)
Grosser, M., Kunzinger, M., Steinbauer, R. and Vickers, J. A. (2002) A global theory of algebras of generalised functions. Advances in Mathematics, 166, (1), 50-72. (doi:10.1006/aima.2001.2018)
Sperhake, U., Sjodin, K.R.P. and Vickers, J.A. (2001) Dynamic cosmic strings II: numerical evolution of excited cosmic strings. Physical Review D, 63, (2), 024012-[15pp]. (doi:10.1103/PhysRevD.63.024012)
Godina, Marco, Matteucci, Paolo and Vickers, James A. (2001) Metric-affine gravity and the Nester-Witten 2-form. Journal of Geometry and Physics, 39, (4), 265-275. (doi:10.1016/S0393-0440(01)00007-9)
Grosser, Michael, Kunzinger, Michael K., Steinbauer, Roland, Urbantke, Helmuth and Vickers, James (2000) Diffeomorphism invariant construction of nonlinear generalised functions. Annalen der Physik, 9, 173-174.
Landsberg, Peter T. and Vickers, James (2000) Thermodynamics: conflicting arrows of time. Nature, 403, 609-609. (doi:10.1038/35001182)
Sjödin, K.R.P., Sperhake, U. and Vickers, J.A. (2000) Dynamic cosmic strings. I. Physical Review D, 63, (2), 024011-[14pp]. (doi:10.1103/PhysRevD.63.024011)
Sjodin, K.R.P., Sperhake, U. and Vickers, J.A. (2000) Dynamic cosmic strings. In, Gurzadyan, Vahe G., Jantzen, Robert T. and Ruffini, Remo (eds.) Proceedings of the Ninth Marcel Grossmann Meeting on General Relativity (MGIXMM)., World Scientific, 1-15.
Vickers, J.A. and Wilson, J.P. (2000) Generalised hyperbolicity in conical spacetimes. Classical and Quantum Gravity, 17, (6), 1333-1360. (doi:10.1088/0264-9381/17/6/302)

Professor Adam Wheeler

Publications

pdf Wheeler, A.A. (2006) Phase-field theory of edges in an anisotropic crystal. Proceedings of the Royal Society A, 462, (2075), 3363-3384. (doi:10.1098/rspa.2006.1721)
D'Alessandro, G. and Wheeler, A.A. (2003) Bistability of liquid crystal microcavities. Physical Review A, 67, (2), 023816-[12pp]. (doi:10.1103/PhysRevA.67.023816)
Nestler, Britta, Wheeler, Adam A. and Garcke, Harald (2003) Modelling of microstructure formation and interface dynamics. Computational Materials Science, 26, 111-119. (doi:10.1016/S0927-0256(02)00407-X)
Vicente Alonso, E., Wheeler, A.A. and Sluckin, T.J. (2003) Non-linear dynamics of a nematic liquid crystal in the presence of a shear flow. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 459, (2029), 195-220. (doi:10.1098/rspa.2002.1019)
McFadden, G.B. and Wheeler, A.A. (2002) On the Gibbs adsorption equation and diffuse interface models. Proceedings of the Royal Society of London A, 458, (2021), 1129-1149. (doi:10.1098/rspa.2001.0908)
Nestler, Britta and Wheeler, Adam A. (2002) Phase-field modeling of multi-phase solidification. Computer Physics Communications, 147, (1-2), 230-233. (doi:10.1016/S0010-4655(02)00252-7)
Anderson, D.M., Wheeler, A.A. and McFadden, G.B. (2001) A phase-field model with convection: sharp-interface asymptotics. Physica D: Nonlinear Phenomena, 151, (2-4), 305-331. (doi:10.1016/S0167-2789(01)00229-9)
Chillingworth, D.R.J., Vincente-Alonso, E. and Wheeler, A.A. (2001) Geometry and dynamics of a nematic liquid crystal in a uniform shear flow. Journal of Physics A: Mathematical and General, 34, (7), 1393-1404. (doi:10.1088/0305-4470/34/7/312)