School of Mathematics

Recent Publications

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

2021

  • Vanneste, J.Coastal imbalance: generation of oceanic Kelvin waves by atmospheric perturbations, Journal of Fluid Mechanics, to appear, 2021 article
  • Manger, S., Renaud, A. & Vanneste, J.An expectation-maximization algorithm for positron emission particle tracking, Review of Scientific Instruments, to appear, 2021 article
  • Amini Kafiabad, H.Vanneste, J. & R. Young, W., Interaction of Near-Inertial Waves with an Anticyclonic Vortex, Journal of Physical Oceanography 51(6) 2035, 2021 article
  • Vanneste, J.Vortex dynamics on a Möbius strip, Journal of Fluid Mechanics, to appear, 2021 article
  • Savva, M., Amini Kafiabad, H. & Vanneste, J.Inertia-gravity-wave scattering by three-dimensional geostrophic turbulence, Journal of Fluid Mechanics, to appear, 2021 article
  • Ayala-garcia, D., Curtis, A. & Branicki, M.Seismic Interferometry from Correlated Noise Sources, Remote Sensing 13(14), 2021 article
  • Branicki, M. & Uda, K., Time-periodic measures, random periodic orbits, and the linear response for non-autonomous stochastic differential equations, Research in the Mathematical Sciences 8, 2021 article
  • Branicki, M. & Uda, K., Lagrangian Uncertainty Quantification and Information Inequalities in Stochastic Flows, SIAM/ASA Journal on Uncertainty Quantification, to appear, 2021 article
  • Higham, D. J. & De Kergorlay, H., Epidemics on Hypergraphs: Spectral Thresholds for Extinction, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, to appear, 2021 article
  • Arrigo, F., Higham, D. J. & Noferini, V., A THEORY FOR BACKTRACK-DOWNWEIGHTED WALKS, SIAM Journal on Matrix Analysis and Applications, to appear, 2021 article
  • Tudisco, F. & Higham, D. J.Node and Edge Eigenvector Centrality for Hypergraphs, Communications Physics, to appear, 2021 article
  • Gilmour, C. & Higham, D. J.Modelling Burglary in Chicago using a Self-Exciting Point Process with Isotropic Triggering, European Journal of Applied Mathematics, to appear, 2021 article
  • Higham, D. J., Higham, N. J. & Pranesh, S., Random Matrices Generating Large Growth in LU, SIAM Journal on Matrix Analysis and Applications 42(1) 185–201, 2021 article
  • Todd, V., Williamson, L., Jiang, J., Cox, S., Todd, I. & Ruffert, M.Prediction of marine mammal auditory-impact risk from Acoustic Deterrent Devices used in Scottish aquaculture, Marine Pollution Bulletin 165, 2021 article
  • Goddard, B. D., Gooding, B., Pavliotis, G. A. & Short, H., Noisy bounded confidence models for opinion dynamics: the effect of boundary conditions on phase transitions, IMA Journal of Applied Mathematics, to appear, 2021 article
  • Leveque, S. & Pearson, J. W.Fast Iterative Solver for the Optimal Control of Time-Dependent PDEs with Crank-Nicolson Discretization in Time, Numerical Linear Algebra with Applications, to appear, 2021 article
  • Leveque, S. & Pearson, J. W.Parameter-robust preconditioning for unsteady Stokes control problems, Proceedings in Applied Mathematics and Mechanics, to appear, 2021 article
  • Bergamaschi, L., Gondzio, J., Martínez, Á., Pearson, J. W. & Pougkakiotis, S., A New Preconditioning Approachfor an Interior Point–Proximal Method of Multipliers for Linear and Convex Quadratic Programming, Numerical Linear Algebra with Applications, to appear, 2021 article
  • Güttel, S. & Pearson, J. W.A spectral-in-time Newton-Krylov method for nonlinear PDE-constrained optimization, IMA Journal of Numerical Analysis, to appear, 2021 article
  • Bergamaschi, L., Gondzio, J., Martínez, Á., Pearson, J. W. & Pougkakiotis, S., A New Preconditioning Approach for an Interior Point-Proximal Method of Multipliers for Linear and Convex Quadratic Programming, Numerical Linear Algebra with Applications 28, to appear, 2021 article
  • Bajars, J., Eilbeck, J. C. & Leimkuhler, B.Two-dimensional mobile breather scattering in a hexagonal crystal lattice, Physical Review E 103(2), 2021 article
  • Miao, Z., Popovic, N. & Zacharis, T., Geometric analysis of a two-body problem with quick loss of mass, Nonlinear dynamics, to appear, 2021 article
  • Smyth, N. F. & Nguyen, L. T. K., Dispersive shock waves for the Boussinesq Benjamin-Ono equation, Studies in Applied Mathematics, to appear, 2021 article
  • Grimshaw, R. H. J., Smyth, N. F. & Stepanyants, Y. A., Interaction of internal solitary waves with long periodic waves within the rotation modified Benjamin–Ono equation, Physica D: Nonlinear Phenomena 419, 2021 article
  • Veerman, F., Popovic, N. & Marr, C., Parameter inference with analytical propagators for stochastic models of autoregulated gene expression, International Journal of Nonlinear Sciences and Numerical Simulation, to appear, 2021 article
  • Koziol, C. P., Todd, J. A., Goldberg, D. N. & Maddison, J. R.fenics_ice 1.0: A framework for quantifying initialisation uncertainty for time-dependent ice-sheet models, Geoscientific Model Development, to appear, 2021 article
  • Lellep, M., Linkmann, M., Eckhardt, B. & Morozov, A.Purely elastic linear instabilities in parallel shear flows with free-slip boundary conditions, Journal of Fluid Mechanics 928(R3) 1-11, 2021 article
  • Yang, Y., Linkmann, M., Biferale, L. & Wan, M., Effects of Forcing Mechanisms on the Multiscale Properties of Magnetohydrodynamics, Astrophysical Journal 909, 2021 article
  • Horikis, T., Frantzeskakis, D. J., Marchant, T. R. & Smyth, N. F.Higher-dimensional extended shallow water equations and resonant soliton radiation, Physical Review Fluids 6(10), 2021 article
  • Assanto, G., Khan, C. & Smyth, N. F.Multihump thermo-reorientational solitary waves in nematic liquid crystals: Modulation theory solutions, Physical Review A 104(1), 2021 article
  • Baqer, S., Frantzeskakis, D. J., Horikis, T., Houdeville, C., Marchant, T. R. & Smyth, N. F.Nematic dispersive shock waves from nonlocal to local, Applied Sciences 11(11), 2021 article
  • Vargas - Magana, R. M., Marchant, T. R. & Smyth, N. F.Numerical and analytical study of undular bores governed by the full water wave equations and bi-directional Whitham-Boussinesq equations, Physics of Fluids 33(6), 2021 article
  • Page, J., Brenner, M. P. & Kerswell, R., Revealing the state space of turbulence using machine learning, Physical Review Fluids 6(3), 2021 article

2020

  • Farah, Y., Loghin, D., Tzella, A. & Vanneste, J.Diffusion in arrays of obstacles: beyond homogenisation, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, to appear, 2020 article
  • Amini Kafiabad, H.Vanneste, J. & R. Young, W., Wave-averaged balance: a simple example, Journal of Fluid Mechanics, to appear, 2020 article
  • Gilbert, A. D. & Vanneste, J.A geometric look at MHD and the Braginsky dynamo, Geophysical and astrophysical fluid dynamics, to appear, 2020 article
  • Higgins, C., Vanneste, J. & van den Bremer, T. S., Unsteady Ekman--Stokes dynamics: implications for surface-wave induced drift of floating marine litter, Geophysical Research Letters, to appear, 2020 article
  • Renaud, A. & Vanneste, J.Dispersion of inertial particles in cellular flows in the small-Stokes, large-Péclet regime, Journal of Fluid Mechanics 903, 2020 article
  • Higgins, C., Van Den Bremer, T. & Vanneste, J.Lagrangian transport by deep-water surface gravity wavepackets: effects of directional spreading and stratification, Journal of Fluid Mechanics 883, 2020 article
  • BLANCHARD, PIERRE., Higham, D. J. & Higham, N. J., Accurately Computing the Log-Sum-Exp and Softmax Functions, IMA Journal of Numerical Analysis, to appear, 2020 article
  • Arrigo, F., Higham, D. & Tudisco, F., A framework for second-order eigenvector centralities and clustering coefficients, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476(2236), 2020 article
  • Mantzaris, A. & Higham, D.A Network Model for Polarization of Political Opinion, Chaos 30, 2020 article
  • Arrigo, F., Higham, D. & Noferini, V., Beyond non-backtracking: Non-cycling network centrality measures, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476(2235), 2020 article
  • Nemes, G. & Olde Daalhuis, A.LARGE-PARAMETER ASYMPTOTIC EXPANSIONS FOR THE LEGENDRE AND ALLIED FUNCTIONS, SIAM Journal on Mathematical Analysis 52(1) 437-470, 2020 article
  • Mackay, T. G. & Lakhtakia, A., Multiple Rayleigh waves guided by the planar surface of a continuously twisted structurally chiral material, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476(2239), 2020 article
  • Teckentrup, A. L.Convergence of Gaussian Process Regression with Estimated Hyper-parameters and Applications in Bayesian Inverse Problems, SIAM/ASA Journal on Uncertainty Quantification 8(4) 1310–1337, 2020 article
  • Todd, V., Williamson, L., Jiang, J., Cox, S., Todd, I. & Ruffert, M.Proximate underwater soundscape of a North Sea offshore petroleum-exploration jack-up drilling-rig in the Dogger Bank, The Journal of the Acoustical Society of America 148(6) 3971–3979, 2020 article
  • Ruffert, M., Todd, V. & Todd, I., Presentation of binning-based inter-click interval data from passive acoustic monitoring of free-ranging harbour porpoises (Phocoena Phocoena), International Journal of Acoustics and Vibration 25(2) 209-218, 2020 article
  • Hansen, J., Mitchard, E. & King, S. E.Assessing Forest/Non-Forest Separability Using Sentinel-1 C-Band Synthetic Aperture Radar, Remote Sensing, to appear, 2020 article
  • Yates, C. A., George, A., Jordana, A., Smith, C. A., Duncan, A. B. & Zygalakis, K. C.The blending region hybrid framework for the simulation of stochastic reaction-diffusion processes, Journal of the Royal Society, Interface 17(171), 2020 article
  • Eftekhari, A., Vandereycken, B., Vilmart, G. & Zygalakis, K. C.Explicit Stabilised Gradient Descent for Faster Strongly Convex Optimisation, Bit numerical mathematics, to appear, 2020 article
  • Sanz-Serna, J. M. & Zygalakis, K. C.Contractivity of Runge-Kutta methods for convex gradient systems, Siam journal on numerical analysis 58(4) 2079–2092, 2020 article
  • Vargas Mieles, L., Pereyra, M. & Zygalakis, K. C.Accelerating proximal Markov chain Monte Carlo by using an explicit stabilised method, Siam journal on imaging sciences 13(2), 2020 article
  • Zygalakis, K., Vollmer, S. J., Szpruch, L., Giles, M. B. & Majka, M., Multilevel Monte Carlo methods for the approximation of invariant measures of stochastic differential equations, Statistics and Computing 30 507–524, 2020 article
  • Goddard, B. D., Hurst, T. & Ocone, R., Modelling inelastic granular media using Dynamical Density Functional Theory, Journal of Statistical Physics, to appear, 2020 article
  • Goddard, B. D., Hurst, T. & Wilkinson, M., A derivation of the Liouville equation for hard particle dynamics with non-conservative interactions, Proceedings of the Royal Society of Edinburgh Section A: Mathematics, to appear, 2020 article
  • Goddard, B. D., Mills-Williams, R. & Sun, J.The Singular Hydrodynamic Interactions Between Two Spheres In Stokes Flow, Physics of Fluids 32(6), 2020 article
  • Turowski, T.Petfalski, E.Goddard, B. D., French, S. L., Helwak, A. & Tollervey, D.Nascent transcript folding plays a major role in determining RNA polymerase elongation rates, Molecular Cell 79(3) 488-503.e11, 2020 article
  • Pougkakiotis, S., Pearson, J. W., Leveque, S. & Gondzio, J.FAST SOLUTION METHODS FOR CONVEX QUADRATIC OPTIMIZATION OF FRACTIONAL DIFFERENTIAL EQUATIONS, SIAM Journal on Matrix Analysis and Applications 41(3) 1443–1476, 2020 article
  • Pearson, J. W. & Pestana, J., Preconditioners for Krylov subspace methods: An overview, GAMM-Reports 43(4), 2020 article
  • Pearson, J., Porcelli, M. & Stoll, M., Interior Point Methods and Preconditioning for PDE-Constrained Optimization Problems Involving Sparsity Terms, Numerical Linear Algebra with Applications 27(2), 2020 article
  • Liu, J. & Pearson, J. W.Parameter-robust preconditioning for the optimal control of the wave equation, Numerical Algorithms 1171–1203, to appear, 2020 article
  • Heber, F., Trstanova, Z. & Leimkuhler, B.TATi-Thermodynamic Analytics ToolkIt: TensorFlow-based software for posterior sampling in machine learning applications, Journal of Machine Learning Research, to appear, 2020 article
  • Leimkuhler, B., Sachs, M. & Stoltz, G., Hypocoercivity properties of adaptive Langevin dynamics, Siam Journal on Applied Mathematics 80(3) 1197–1222, 2020 article
  • Trstanova, Z., Leimkuhler, B. & Lelievre, T., Local and Global Perspectives on Diffusion Maps in the Analysis of Molecular Systems, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476(2233), 2020 article
  • Phipps, F., Khochfar, S.Varri, A. L. & Vecchia, C. D., The First Billion Years Project: Finding Infant Globular Clusters at z=6, Astronomy and Astrophysics 641, 2020 article
  • Heggie, D. C., Breen, P. G. & Varri, A. L.l=1: Weinberg's weakly damped mode in an N-body model of a spherical stellar system, Monthly Notices of the Royal Astronomical Society 492(4) 6019-6026, 2020 article
  • Filatova, T., Popovic, N. & Grima, R.Statistics of nascent and mature RNA fluctuations in a stochastic model of transcriptional initiation, elongation, pausing, and termination, Bulletin of Mathematical Biology 83(3), 2020 article
  • Miao, Z., Popovic, N. & Szmolyan, P., OSCILLATIONS IN A CAMP SIGNALING MODEL FOR CELL AGGREGATION { A GEOMETRIC ANALYSIS, Journal of mathematical analysis and applications 483(1), 2020 article
  • Cheek, D. & Antal, T.Genetic composition of an exponentially growing cell population, Stochastic processes and their applications 130(11) 6580-6624, 2020 article
  • Linkmann, M., Hohmann, M. & Eckhardt, B., Nonuniversal transition to condensate formation in two-dimensional turbulence, Journal of Fluid Mechanics 892, 2020 article
  • Linkmann, M., Marchetti, M. C., Boffetta, G. & Eckhardt, B., Condensate formation and multiscale dynamics in two-dimensional active suspensions, Physical Review E 101(2), 2020 article
  • Lellep, M., Prexl, J., Linkmann, M. & Eckhardt, B., Using Machine Learning to predict extreme events in the Hénon map, Chaos 30(1), 2020 article
  • Assanto, G. & Smyth, N. F.Spin-optical solitons in liquid crystals, Physical Review A 102(3), 2020 article
  • Baqer, S. & Smyth, N.Modulation theory and resonant regimes for dispersive shock waves in nematic liquid crystals, Physica D: Nonlinear Phenomena 403, 2020 article
  • Page, J., Dubief, Y. & Kerswell, R., Exact travelling wave solutions in viscoelastic channel flow, Physical Review Letters 125(15), 2020 article
  • Page, J. & Kerswell, R. R., Searching turbulence for periodic orbits with dynamic mode decomposition, Journal of Fluid Mechanics 886, 2020 article

2019

  • Renaud, A. & Vanneste, J.Dispersion and reaction in random flows: Single realization vs ensemble average, Physical Review Fluids 4(12), 2019 article
  • Ying, Y. K., Maddison, J. & Vanneste, J.Bayesian inference of ocean diffusivity from Lagrangian trajectory data, Ocean modelling 140, 2019 article
  • Kafiabad, H. A., Savva, M. A. C. & Vanneste, J.Diffusion of inertia-gravity waves by geostrophic turbulence, Journal of Fluid Mechanics 869 R71-R713, 2019 article
  • Tzella, A. & Vanneste, J.Chemical front propagation in periodic flows: FKPP vs G, Siam Journal on Applied Mathematics 79(1) 131-152, 2019 article
  • Higham, D., Arrigo, F. & Noferini, V., Non-Backtracking Alternating Walks, Siam Journal on Applied Mathematics 79(3) 781–801, 2019 article
  • Tudisco, F. & Higham, D.A fast and robust kernel optimization method for core--periphery detection in directed and weighted graphs, Applied Network Science, to appear, 2019 article
  • Arrigo, F., Higham, D. & Noferini, V., Non-backtracking PageRank, Journal of Scientific Computing 80(3) 1419-1437, 2019 article
  • Tudisco, F. & Higham, D.A nonlinear spectral method for core-periphery detection in networks, SIAM Journal on Mathematics of Data Science 1(2) 269-292, 2019 article
  • Gaunt, R. E., Iyengar, S., Olde Daalhuis, A. & Simsek, B., An asymptotic expansion for the normalizing constant of the Conway–Maxwell–Poisson distribution, Annals of the Institute of Statistical Mathematics 71(1) 163-180, 2019 article
  • Zhou, C., Mackay, T. G. & Lakhtakia, A., Surface-plasmon-polariton wave propagation supported by anisotropic materials: multiple modes and mixed exponential and linear localization characteristics, Physical Review A 100(3), 2019 article
  • Mackay, T. G., Zhou, C. & Lakhtakia, A., Dyakonov-Voigt surface waves, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 475(2228), 2019 article
  • Mackay, T. G. & Lakhtakia, A., Surface waves with negative phase velocity supported by temperature-dependent hyperbolic materials, Journal of optics 21(8), 2019 article
  • Mackay, T., Naheed, M. & Faryad, M., Electromagnetic surface waves guided by the planar interface of isotropic chiral materials, Journal of the Optical Society of America B 36 F1-F8, 2019 article
  • Mackay, T.On the identification of surface waves in numerical studies, Plasmonics 14(1) 1-2, 2019 article
  • Mackay, T. & Noonan, J., On electromagnetic surface waves supported by an isotropic chiral material, Optics Communications 434 224-229, 2019 article
  • Dodwell, T. J., Ketelsen, C., Scheichl, R. & Teckentrup, A. L.Multilevel Markov chain Monte Carlo, Siam review 61(3) 509-545, 2019 article
  • Todd, V., Jiang, J. & Ruffert, M.Potential audibility of three Acoustic Harassment Devices (AHDs) to marine mammals in Scotland, UK, International Journal of Acoustics and Vibration 24(4) 792-800, 2019 article
  • Betz, V., Goddard, B. & Hurst, T., Non-adiabatic transitions in multiple dimensions, SIAM Journal on Scientific Computing 41(5), 2019 article
  • Maddison, J.Goldberg, D. & Goddard, B.Automated calculation of higher order partial differential equation constrained derivative information, SIAM Journal on Scientific Computing 41(5) C417-C445, 2019 article
  • Pearson, J. & Dolgov, S., PRECONDITIONERS AND TENSOR PRODUCT SOLVERS FOR OPTIMAL CONTROL PROBLEMS FROM CHEMOTAXIS, SIAM Journal on Scientific Computing 41(6) B1228-B1253, 2019 article
  • Leimkuhler, B., Matthews, C. & Vlaar, T., Partitioned integrators for thermodynamic parameterization of neural networks, Foundations of Data Science, to appear, 2019 article
  • Martinsson, A., Lu, J., Leimkuhler, B. & Vanden-Eijnden, E., The simulated tempering method in the infinite switch limit with adaptive weight learning, Journal of Statistical Mechanics: Theory and Experiment 2019(1), 2019 article
  • Tiongco, M., Vesperini, E. & Varri, A. L.Kinematical evolution of multiple stellar populations in star clusters, Monthly Notices of the Royal Astronomical Society 487(4) 5535-5548, 2019 article
  • Rozier, S., Fouvry, J-B., Breen, P. G., Varri, A. L., Pichon, C. & Heggie, D. C., Mapping the stability of stellar rotating spheres via linear response theory, Monthly Notices of the Royal Astronomical Society 487(1) 711-728, 2019 article
  • Claydon, I., Gieles, M., Varri, A. L., Heggie, D. C. & Zocchi, A., Spherical models of star clusters with potential escapers, Monthly Notices of the Royal Astronomical Society 487(1) 147-160, 2019 article
  • Iuorio, A., Popovic, N. & Szmolyan, P., Singular perturbation analysis of a regularized MEMS model, Siam Journal on Applied Dynamical Systems 18(2) 661-708, 2019 article
  • Mads B, P., Markus, J., Maddison, J., Marshall, D. P. & Nuterman, R., A geometric interpretation of Southern Ocean eddy form stress, Journal of Physical Oceanography 49 2553-2570, 2019 article
  • Avanzini, S. & Antal, T.Cancer recurrence times from a branching process model, PLoS Computational Biology, to appear, 2019 article
  • Nicholson, M. D. & Antal, T.Competing evolutionary paths in growing populations with applications to multidrug resistance, PLoS Computational Biology 15(4), 2019 article
  • Linkmann, M., Boffetta, G., Marchetti, M. C. & Eckhardt, B., Phase Transition to Large Scale Coherent Structures in Two-Dimensional Active Matter Turbulence, Physical Review Letters 122(21), 2019 article
  • Linkmann, M. & Eckhardt, B., Dynamic feedback control through wall suction in shear flows, Proceedings in Applied Mathematics and Mechanics 19(1), 2019 article
  • Assanto, G., Khan, C., Piccardi, A. & Smyth, N.Temperature control of nematicon trajectories, Physical Review E 100, 2019 article
  • Horikis, T., Frantzeskakis, D., Antar, N., Bakirtas, I. & Smyth, N.Self-similar evolution in nonlocal nonlinear media, Optics Letters 44(15) 3701-3704, 2019 article
  • Assanto, G., Panayotaros, P. & Smyth, N.Mechanical analogies for nonlinear light beams in nonlocal nematic liquid crystals, Journal of Nonlinear Optical Physics and Materials 27(4), 2019 article
  • Hoefer, M. A., Smyth, N. & Sprenger, P., Modulation theory solution for nonlinearly resonant, fifth order Korteweg-de Vries, non-classical, traveling dispersive shock waves, Studies in Applied Mathematics 142(3) 219-240, 2019 article
  • Louis, S. A., Marchant, T. R. & Smyth, N.2-D solitary waves in thermal media with non-symmetric boundary conditions, Studies in Applied Mathematics 142(4) 586-607, 2019 article
  • Page, J. & Kerswell, R. R., Koopman analysis of Burgers equation, Physical Review Fluids 3(7), 2019 article
  • Page, J. & Kerswell, R. R., Koopman mode expansions between simple invariant solutions, Journal of Fluid Mechanics 879 1-27, 2019 article