2014

Law, K. J. H. (2014) Proposals which speed up function-space MCMC. Journal of Computational and Applied Mathematics, Volume 262 . pp. 127-138. doi:10.1016/j.cam.2013.07.026 ISSN 0377-0427.

Hoang, Viet Ha, Law, Kody J. H. and Stuart, A. M. (2014) Determining white noise forcing from Eulerian observations in the Navier-Stokes equation. Stochastic Partial Differential Equations: Analysis and Computations, 2 (2). pp. 233-261. doi:10.1007/s40072-014-0028-4 ISSN 2194-0401.

2013

Stuart, A. M., Shukla, Abhishek and Law, Kody J. H. (2013) Analysis of the 3DVAR filter for the partially observed Lorenz'63 model. Discrete and Continuous Dynamical Systems, Volume 34 (Number 3). pp. 1061-1078. doi:10.3934/dcds.2014.34.1061 ISSN 1078-0947.

Wang, Chang, Law, Kody J. H., Kevrekidis, Panayotis G. and Porter, Mason (2013) Dark solitary waves in a class of collisionally inhomogeneous Bose-Einstein condensates. Physical Review A (Atomic, Molecular and Optical Physics) , 87 (2). 023621. doi:10.1103/PhysRevA.87.023621 ISSN 1050-2947.

Brett, Charles E. A., Lam, Kei Fong, Law, K. J. H., McCormick, D. S., Scott, Michael R. and Stuart, A. M. (2013) Accuracy and stability of filters for dissipative PDEs. Physica D: Nonlinear Phenomena, Volume 245 (Number 1). pp. 34-45. doi:10.1016/j.physd.2012.11.005 ISSN 0167-2789.

Neely, T., Bradley, A., Samson, E., Rooney, S., Wright, E., Law, K. J. H., Carretero-González, R., Kevrekidis, P., Davis, M. and Anderson, B. (2013) Characteristics of two-dimensional quantum turbulence in a compressible superfluid. Physical Review Letters, Volume 111 (Number 23). Article number 235301 . doi:10.1103/PhysRevLett.111.235301 ISSN 0031-9007.

Iglesias, Marco A., Law, K. J. H. and Stuart, A. M. (2013) Ensemble Kalman methods for inverse problems. Inverse Problems, Volume 29 (Number 4). Article number 045001. doi:10.1088/0266-5611/29/4/045001 ISSN 0266-5611.

2012

Iglesias, Marco, Law, K. J. H. and Stuart, A. M. (2012) MCMC for the evaluation of Gaussian approximations to Bayesian inverse problems in groundwater flow. In: NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012, Kos, Greece, 19-25 September. Published in: AIP Conference Proceedings, Vol. 1479 pp. 920-923. ISBN 978-0-7354-1091-6. doi:10.1063/1.4756292 ISSN 0094-243X.

2010

Law, K. J. H., Kevrekidis, P. G. and Tuckerman, Laurette S. (2010) Stable vortex-bright-soliton structures in two-component Bose-Einstein condensates. Physical Review Letters, Vol.105 (No.16). Article no. 160405. doi:10.1103/PhysRevLett.105.160405 ISSN 0031-9007.

Law, K. J. H., Saxena, Avadh, Kevrekidis, P. G. and Bishop, A. R. (2010) Stable structures with high topological charge in nonlinear photonic quasicrystals. Physical Review A, Vol.82 (No.3). doi:10.1103/PhysRevA.82.035802 ISSN 1050-2947.

Koukouloyannis, V., Kevrekidis, P. G., Law, K. J. H., Kourakis, I. and Frantzeskakis, D. J. (2010) Existence and stability of multisite breathers in honeycomb and hexagonal lattices. Journal of Physics A: Mathematical and Theoretical, Vol.43 (No.23). Article no. 235101. doi:10.1088/1751-8113/43/23/235101 ISSN 1751-8113.

Kapitula, Todd, Law, K. J. H. and Kevrekidis, Panayotis G. (2010) Interaction of excited states in two-species Bose–Einstein condensates : a case study. SIAM Journal on Applied Dynamical Systems, Vol.9 (No.1). pp. 34-61. doi:10.1137/080742002 ISSN 1536-0040.

Song, Daohong, Lou, Cibo, Law, K. J. H., Tang, Liqin, Ye, Zhuoyi, Kevrekidis, P.G., Xu, Jingjun and Chen, Zhigang (2010) Self-trapping of optical vortices at the surface of an induced semi-infinite photonic lattice. Optics Express, Vol.18 (No.6). Article no. 5873. doi:10.1364/OE.18.005873 ISSN 1094-4087.

2009

Law, K. J. H., Song, D., Kevrekidis, P. G., Xu, J. and Chen, Zhigang (2009) Geometric stabilization of extended S=2 vortices in two-dimensional photonic lattices : theoretical analysis, numerical computation, and experimental results. Physical Review A, Vol.80 (No.6). Article no. 063817. doi:10.1103/PhysRevA.80.063817 ISSN 1050-2947.

Law, K. J. H., Saxena, Avadh, Kevrekidis, P. and Bishop, A. (2009) Localized structures in kagome lattices. Physical Review A, Vol.79 (No.5). doi:10.1103/PhysRevA.79.053818 ISSN 1050-2947.

Davis, M., Carretero-González, R., Shi, Z., Law, K. J. H., Kevrekidis, P. and Anderson, B. (2009) Manipulation of vortices by localized impurities in Bose-Einstein condensates. Physical Review A, Vol.80 (No.2). Article no. 023604. doi:10.1103/PhysRevA.80.023604 ISSN 1050-2947.

Khare, Avinash, Saxena, Avadh and Law, K. J. H. (2009) Mapping between generalized nonlinear Schrödinger equations and neutral scalar field theories and new solutions of the cubic–quintic NLS equation. Journal of Physics A: Mathematical and Theoretical, Vol.42 (No.47). Article no. 475404. doi:10.1088/1751-8113/42/47/475404 ISSN 1751-8113.

Law, K. J. H. and Kevrekidis, Panayotis G. (2009) Numerical methods for DNLS. In: Kevrekidis, Panayotis G., (ed.) The Discrete Nonlinear Schrödinger Equation :Discretized equations in which the evolution variable is continuous while the spatial variables are confined to the points on a lattice, have had a significant presence and impact across multiple disciplines [1. Springer, pp. 191-203. ISBN 9783540891987

Terhalle, Bernd, Richter, Tobias, Law, K. J. H., Göries, Dennis, Rose, Patrick, Alexander, Tristram, Kevrekidis, Panayotis, Desyatnikov, Anton, Krolikowski, Wieslaw, Kaiser, Friedemann, Denz, Cornelia and Kivshar, Yuri (2009) Observation of double-charge discrete vortex solitons in hexagonal photonic lattices. Physical Review A, Vol.79 (No.4). Article no. 043821. doi:10.1103/PhysRevA.79.043821 ISSN 1050-2947.

Law, K. J. H., Kevrekidis, P., Alexander, Tristram, Królikowski, Wieslaw and Kivshar, Yuri (2009) Stable higher-charge discrete vortices in hexagonal optical lattices. Physical Review A, Vol.79 (No.2). Article no. 025801 . doi:10.1103/PhysRevA.79.025801 ISSN 1050-2947.

Wang, C., Theocharis, G., Kevrekidis, P., Whitaker, N., Law, K. J. H., Frantzeskakis, D. and Malomed, B. (2009) Two-dimensional paradigm for symmetry breaking : the nonlinear Schrödinger equation with a four-well potential. Physical Review E, Vol.80 (No.4). Article no. 046611 . doi:10.1103/PhysRevE.80.046611 ISSN 1539-3755.

Cuevas, J., James, G., Kevrekidis, P.G. and Law, K. J. H. (2009) Vortex solutions of the discrete Gross–Pitaevskii equation starting from the anti-continuum limit. Physica D: Nonlinear Phenomena, Vol.238 (No.15). pp. 1422-1431. doi:10.1016/j.physd.2008.10.001 ISSN 0167-2789.

Law, K. J. H. and Hoq, Q. Enam (2009) The dynamics of unstable waves. In: Kevrekidis, Panayotis G., (ed.) The Discrete Nonlinear Schrödinger Equation :Discretized equations in which the evolution variable is continuous while the spatial variables are confined to the points on a lattice, have had a significant presence and impact across multiple disciplines [1. Springer, pp. 205-220. ISBN 9783540891987

2008

Beheshti, S., Law, K. J. H., Kevrekidis, P. and Porter, Mason (2008) Averaging of nonlinearity management with dissipation. Physical Review A, Vol.78 (No.2). Article no. 025805 . doi:10.1103/PhysRevA.78.025805 ISSN 1050-2947.

Susanto, H., Law, K. J. H., Kevrekidis, P.G., Tang, L., Lou, C., Wang, X. and Chen, Z. (2008) Dipole and quadrupole solitons in optically-induced two-dimensional defocusing photonic lattices. Physica D: Nonlinear Phenomena, Vol.237 (No.23). pp. 3123-3134. doi:10.1016/j.physd.2008.05.017 ISSN 0167-2789.

Law, K. J. H., Kevrekidis, P., Koukouloyannis, V., Kourakis, I., Frantzeskakis, D. and Bishop, A. (2008) Discrete solitons and vortices in hexagonal and honeycomb lattices : existence, stability, and dynamics. Physical Review E, Vol.78 (No.6). Article no. 066610 . doi:10.1103/PhysRevE.78.066610 ISSN 1539-3755.

Law, K. J. H., Kevrekidis, P. G., Frantzeskakis, D. J. and Bishop, A. R. (2008) Emergence of unstable modes in an expanding domain for energy-conserving wave equations. Physics Letters A, Vol.372 (No.5). pp. 658-664. doi:10.1016/j.physleta.2007.07.082 ISSN 0375-9601.

Song, Daohong, Lou, Cibo, Tang, Liqin, Wang, Xiaosheng, Li, Wei, Chen, Xingyu, Law, K. J. H., Susanto, Hadi, Kevrekidis, P. G., Xu, Jingjun and Chen, Zhigang (2008) Self-trapping of optical vortices in waveguide lattices with a self-defocusing nonlinearity. Optics Express, Vol.16 (No.14). pp. 10110-10116. doi:10.1364/OE.16.010110 ISSN 1094-4087.

Law, K. J. H., Susanto, H. and Kevrekidis, P. (2008) Solitons and vortices in honeycomb defocusing photonic lattices. Physical Review A, Vol.78 (No.3). Article no.033802 . doi:10.1103/PhysRevA.78.033802 ISSN 1050-2947.

Law, K. J. H., Qiao, L., Kevrekidis, P. and Kevrekidis, I. (2008) Stability of quantized vortices in a Bose-Einstein condensate confined in an optical lattice. Physical Review A, Vol.77 (No.5). Article no. 053612 . doi:10.1103/PhysRevA.77.053612 ISSN 1050-2947.

Law, K. J. H., Kevrekidis, P. G., Anderson, B. P., Carretero-González, R. and Frantzeskakis, D. J. (2008) Structure and stability of two-dimensional Bose–Einstein condensates under both harmonic and lattice confinement. Journal of Physics B : Atomic, Molecular and Optical Physics, Vol.41 (No.19). Article no. 195303 195303. doi:10.1088/0953-4075/41/19/195303 ISSN 0953-4075.

Shi, Z., Law, K. J. H., Kevrekidis, P.G. and Malomed, B.A. (2008) Trapping of two-component matter-wave solitons by mismatched optical lattices. Physics Letters A, Vol.372 (No.22). pp. 4021-4027. doi:10.1016/j.physleta.2008.02.088 ISSN 0375-9601.