School of Mathematics

Recent Publications

Recent publications by members of the Applied and Computational Mathematics group.

Below is a list of recent publications by member of the Applied & Computational Mathematics group.  Click on an (ACM) author's name to view their homepage and on the 'article' link to go to the publisher's site.   

2017

  • Cheng, B., Cullen, M. J. P., Esler, J. G., Norbury, J., Turner, M. R., Vanneste, J. & Cheng, J., A Model for Moist Convection in an Ascending Atmospheric Column, Quarterly Journal of the Royal Meteorological Society, to appear, 2017
  • Nemes, G.Error bounds for the large-argument asymptotic expansions of the Hankel and Bessel functions, Acta Applicandae Mathematicae 150(1) 141-177, 2017 article
  • Nemes, G.Error bounds for the asymptotic expansion of the Hurwitz zeta function, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 473(2203), 2017 article
  • Pearson, J., Pestana, J. & Silvester, D. J., Refined saddle-point preconditioners for discretized Stokes problems, Numerische Mathematik, to appear, 2017 article
  • Conrad, P. R., Girolami, M., Särkkä, S., Stuart, A. & Zygalakis, K.Statistical analysis of differential equations: introducing probability measures on numerical solutions, Statistics and Computing 27(4) 1065-1082, 2017 article
  • Morciano, M., Fasano, M., Nold, A., Braga, C., Yatsyshin, P., Sibley, D. N., Goddard, B., Chiavazzo, E., Asinari, P. & Kalliadasis, S., Nonequilibrium molecular dynamics simulations of nanoconfined fluids at solidliquid interfaces, The Journal of Chemical Physics 146(24) 244507, 2017 article
  • Vanneste, J. & Tsang, Y-K., The effect of coherent stirring on the advection–condensation of water vapour, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 473(2202), 2017 article
  • Di Federico, V., Longo, S., King, S., Chiapponi, L., Petrolo, D. & Ciriello, V., Gravity-driven flow of Herschel--Bulkley fluid in a fracture and in a 2D porous medium, Journal of Fluid Mechanics 821 59-84, 2017 article
  • Creech, A., Jackson, W. & Maddison, J.Developing Fluidity for high-fidelity coastal modelling, Computers & Fluids, , , 2017
  • Pearson, J. & Gondzio, J., Fast Interior Point Solution of Quadratic Programming Problems Arising from PDE-Constrained Optimization, Numerische Mathematik, to appear, 2017 article
  • Farid Khwaja, S. & Olde Daalhuis, A.Computation of the coefficients appearing in the uniform asymptotic expansions of integrals, Studies in Applied Mathematics, to appear, 2017 article
  • Kontogeorgaki, S., Sanchez-Garcıa, R. J., Ewing, R. M., Zygalakis, K. & MacArthur, B. D., Noise-processing by signaling networks, Scientific Reports 7 532, 2017 article
  • Nold, A., Goddard, B., Yatsyshin, P., Savva, N. & Kalliadasis, S., Pseudospectral methods for density functional theory in bounded and unbounded domains, Journal of Computational Physics 334 639-664, 2017 article
  • Xie, J-H. & Vanneste, J.Interaction between mountain waves and shear flow in an inertial layer, Journal of Fluid Mechanics 816 352-380, 2017 article
  • Mak, J., Marshall, D. P., Maddison, J. & Bachmann, S. D., Emergent eddy saturation from an energy constrained eddy parameterisation, Ocean modelling 112 125-138, 2017 article
  • Haug, N., Olde Daalhuis, A. & Prellberg, T., Higher-order Airy scaling in deformed Dyck paths, Journal of Statistical Physics 166(5) 1193-1208, 2017 article
  • Farrell, P. E. & Pearson, J.A preconditioner for the Ohta-Kawasaki equation, SIAM Journal on Matrix Analysis and Applications 38(1) 217-225, 2017 article
  • Pearson, J., Olver, S. & Porter, M. A., Numerical methods for the computation of the confluent and Gauss hypergeometric functions, Numerical Algorithms 74(3) 821-866, 2017 article
  • An, X., Marchant, T. & Smyth, N.Optical dispersive shock waves in defocusing colloidal media, Physica D - Nonlinear Phenomena 342 45-56, 2017 article
  • Ronanki, S., Watts, O., King, S. & Henter, G. E., Median-based generation of synthetic speech durations using a non-parametric approach, 2016 IEEE Spoken Language Technology Workshop (SLT), IEEE, 686-692, 2017 article
  • Leimkuhler, B., Matthews, C. & Weare, J., Ensemble preconditioning for Markov chain Monte Carlo simulation, Statistics and Computing, to appear, 2017 article
  • Anderson, T. H., Mackay, T. G. & Lakhtakia, A., Enhanced efficiency of Schottky-barrier solar cell with periodically nonhomogeneous indium gallium nitride layer, Journal of Photonics for Energy 7(1) 014502, 2017 article
  • Holzer, M. & Popovic, N.Wavetrain solutions of a reaction-diffusion-advection model of mussel-algae interaction, Siam Journal on Applied Dynamical Systems 16(1) 431-478, 2017 article
  • Carr, M., Franklin, J., King, S., Davies, P. A., Grue, J. & Dritschel, D. G., The characteristics of billows generated by internal solitary waves, Journal of Fluid Mechanics 812 541-577, 2017 article
  • Myerscough, K. W., Frank, J. & Leimkuhler, B.Observation-based correction of dynamical models using thermostats, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 473 20160730, 2017 article
  • Marshall, D. P., Ambaum, M. H. P., Maddison, J., Munday, D. R. & Novak, L., Eddy saturation and frictional control of the Antarctic Circumpolar Current, Geophysical Research Letters 44(1) 286-292, 2017 article
  • Scheichl, R., Stuart, A. M. & Teckentrup, A. L., Quasi-Monte Carlo and Multilevel Monte Carlo Methods for Computing Posterior Expectations in Elliptic Inverse Problems, SIAM/ASA Journal on Uncertainty Quantification 5(1), 2017
  • Bachmann, S. D., Marshall, D. P., Maddison, J. & Mak, J.Evaluation of a Scalar Eddy Transport Coefficient Based on Geometric Constraints, Ocean modelling 109 44-54, 2017 article

2016

  • Maddison, J. & Hiester, H. R., Optimal constrained interpolation in mesh-adaptive finite element modelling, SIAM Journal on Scientific Computing, to appear, 2016
  • Goddard, B., Nold, A. & Kalliadasis, S., Dynamical Density Functional Theory with Hydrodynamic Interactions in Confined Geometries, The Journal of Chemical Physics 145 214106, 2016 article
  • Duncan, A., Erban, R. & Zygalakis, K.Hybrid framework for the simulation of stochastic chemical kinetics, Journal of Computational Physics 326 398-419, 2016 article
  • Assanto, G. & Smyth, N.Nonlinear guided waves: Preface, Journal of nonlinear optical physics & materials 25(4) 1650041, 2016 article
  • Smyth, N. & Tope, B., Beam on beam control: beyond the particle approximation, Journal of nonlinear optical physics & materials 25(4) 1650046, 2016 article
  • Smyth, N., Piccardi, A., Alberucci, A. & Assanto, G., Highly Nonlocal Response benefit or drawback?, Journal of nonlinear optical physics & materials 25(4) 1650043, 2016 article
  • Stuart, A. & Teckentrup, A.Posterior Consistency for Gaussian Process Approximations of Bayesian Posterior Distributions, Mathematics of Computation, to appear, 2016 article
  • Leimkuhler, B. & Shang, X., Pairwise adaptive thermostats for improved accuracy and stability in dissipative particle dynamics, Journal of Computational Physics 324 174-193, 2016 article
  • Nicholson, M. & Antal, T.Universal asymptotic clone size distribution for general population growth, Bulletin of Mathematical Biology 78(11) 2243-2276, 2016 article
  • Mackay, T. G. & Lakhtakia, A., Temperature-mediated transition from Dyakonov surface waves to surface-plasmon-polariton waves, Ieee photonics journal 8(5) 4802813, 2016 article
  • Nemes, G. & Olde Daalhuis, A.Uniform Asymptotic Expansion for the Incomplete Beta Function, Symmetry, Integrability and Geometry : Methods and Applications 12 101, 2016 article
  • Pearson, J. & Gondzio, J., Fast interior point solvers for H1-regularized PDE-constrained optimization problems, Joint 87th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) and Deutsche Mathematiker-Vereinigung, Wiley-VCH, 737-738, 2016 article
  • Gomez, J. M., Chumakova, L., Bulgakova, N. A. & Brown, N. H., Microtubule organization is determined by the shape of epithelial cells, Nature Communications 7 13172, 2016 article
  • Smyth, N.Dispersive shock waves in nematic liquid crystals, Physica D - Nonlinear Phenomena 333 301-309, 2016 article
  • Pearson, J.Fast iterative solvers for large matrix systems arising from time-dependent Stokes control problems, Applied Numerical Mathematics 108 87-101, 2016 article
  • Durmus, A., Roberts, G. O., Vilmart, G. & Zygalakis, K.Fast Langevin based algorithm for MCMC in high dimensions, Annals of Applied Probability, to appear, 2016
  • Tzella, A. & Vanneste, J.Dispersion in Rectangular Networks: Effective Diffusivity and Large-Deviation Rate Function, Physical Review Letters 117(11) 114501, 2016 article
  • Vollmer, S. J., Zygalakis, K. C. & Teh, Y. W., Exploration of the (Non-)Asymptotic Bias and Variance of Stochastic Gradient Langevin Dynamics, Journal of Machine Learning Research 17(159) 1-48, 2016
  • Chiadini, F., Fiumara, V., Mackay, T. G., Scaglione, A. & Lakhtakia, A., Left/right asymmetry in Dyakonov–Tamm-wave propagation guided by a topological insulator and a structurally chiral material, Journal of Optics 18(11) 115101, 2016 article
  • Mackay, T. G. & Lakhtakia, A., On the propagation of Voigt waves in energetically active materials, European Journal of Physics 37(6) 064002, 2016 article
  • Heppell, J., Payvandi, S., Talboys, P., Zygalakis, K. C., Langton, D., Sylvester-bradley, R., Edwards, A. C., Walker, R., Withers, P., Jones, D. L. & Roose, T., Use of a coupled soil-root-leaf model to optimise phosphate fertiliser use efficiency in barley, Plant and Soil 406(1) 341-357, 2016 article
  • Flores, G. & Smyth, N.A numerical study of the pull-in instability in some free boundary models for MEMS, Applied mathematical modelling 40(17-18) 7962-7970, 2016 article
  • Duran-Olivencia, M. A., Goddard, B. & Kalliadasis, S., Dynamical density functional theory for orientable colloids including inertia and hydrodynamic interactions, Journal of Statistical Physics 164(4) 785-809, 2016 article
  • Mak, J.Maddison, J. & Marshall, D. P., A new gauge-invariant method for diagnosing eddy diffusivities, Ocean modelling 104 252–268, 2016 article
  • Tamarin, T., Maddison, J., Heifetz, E. & Marshall, D. P., A geometric interpretation of eddy Reynolds stresses in barotropic ocean jets, Journal of Physical Oceanography 46(8) 2285-2307, 2016 article
  • Danioux, E. & Vanneste, J.Near-inertial scattering by random flows, Physical Review Fluids 1(3) 033701, 2016 article
  • Betz, V., Goddard, B. & Manthe, U., Wave packet dynamics in the optimal superadiabatic approximation, Journal of Chemical Physics 144(22) 224109, 2016 article
  • Lakhtakia, A. & Mackay, T. G.Left/right asymmetry in reflection and transmission by a planar anisotropic dielectric slab with topologically insulating surface states, Journal of Nanophotonics 10(2) 020501, 2016 article
  • Mackay, T. G. & Lakhtakia, A., Nonreciprocal Dyakonov-wave propagation supported by topological insulators, Journal of the Optical Society of America B 33(6) 1266, 2016 article
  • Goggin, P. M., Zygalakis, K. C., Oreffo, R. O. C. & Schneider, P., High-resolution 3D imaging of osteocytes and computational modelling in mechanobiology: Insights on bone development, ageing, health and disease, European Cells and Materials (ECM) 31 264-295, 2016
  • Faryad, M., Anderson, T. H., Mackay, T. G., Lakhtakia, A. & Singh, R., Combined optical–electrical finite-element simulations of thin-film solar cells with homogeneous and nonhomogeneous intrinsic layers, Journal of Photonics for Energy6(2) 025502, 2016 article
  • Leimkuhler, B. & Matthews, C., Efficient molecular dynamics using geodesic integration and solvent-solute splitting, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 472(2189) 20160138, 2016 article
  • Morrison, P. J. & Vanneste, J.Weakly nonlinear dynamics in noncanonical Hamiltonian systems with applications to fluids and plasmas, Annals of physics 368 117-147, 2016 article
  • Heppell, J., Payvandi, S., Talboys, P., Zygalakis, K. C., Fliege, J., Langton, D., Sylvester-bradley, R., Walker, R., Jones, D. L. & Roose, T., Modelling the optimal phosphate fertiliser and soil management strategy for crops, Plant and Soil 401(1) 135-149, 2016 article
  • Mackay, T. G. & Lakhtakia, A., Gain and loss enhancement in active and passive particulate composite materials, Waves in Random and Complex Media 1-11, to appear, 2016 article
  • Smyth, N. & El, G., Radiating dispersive shock waves in nonlocal optical media, Proceedings of the royal society of london series a-Mathematical and physical sciences 472(2187) 20150633, 2016 article
  • Izdebskaya, Y., Krolikowski, W., Smyth, N. & Assanto, G., Vortex stabilization by means of spatial solitons in nonlocal media, Journal of Optics 18(5) 054006, 2016 article
  • Leimkuhler, B. & Shang, X., Adaptive Thermostats for Noisy Gradient Systems, SIAM Journal on Scientific Computing 38(2) A712-A736, 2016 article
  • Assanto, G. & Smyth, N.Light induced waveguides in nematic liquid crystals, IEEE Journal of Selected Topics in Quantum Electronics 22(2) 4400306, 2016 article
  • Mackay, T. G. & Lakhtakia, A., Simultaneous amplification and attenuation in isotropic chiral materials, Journal of Optics 18(5) 055104, 2016 article
  • Lakhtakia, A. & Mackay, T. G.Classical electromagnetic model of surface states in topological insulators, Journal of Nanophotonics 10(3) 033004, 2016 article
  • Dolgov, S., Pearson, J., Savostyanov, D. V. & Stoll, M., Fast tensor product solvers for optimization problems with fractional differential equations as constraints, Applied Mathematics and Computation 273 604-623, 2016 article
  • De Maesschalck, P., Kutafina, E. & Popovic, N.Sector-Delayed-Hopf-Type Mixed-Mode Oscillations in a Prototypical Three-Time-Scale Model, Applied Mathematics and Computation 273 337-352, 2016 article
  • Mak, J., Griffiths, S. D. & Hughes, D. W., Shear flow instabilities in shallow-water magnetohydrodynamics, Journal of Fluid Mechanics 788 767-796, 2016 article
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