School of Mathematics

Recent Publications

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

2023

  • Offner, A., Manger, S. & Vanneste, J.A probabilistic framework for uncertainty quantification in positron emission particle tracking, Inverse problems 39, 2023 article
  • Kafiabad, H. & Vanneste, J.Computing Lagrangian means, Journal of Fluid Mechanics 960, 2023 article
  • Cox, M., Kafiabad, H. & Vanneste, J.Inertia-gravity-wave diffusion by geostrophic turbulence: the impact of flow time dependence, Journal of Fluid Mechanics, to appear, 2023 article
  • Gilbert, A. D. & Vanneste, J.A Geometric Look at Momentum Flux and Stress in Fluid Mechanics, Journal of Nonlinear Science 33, 2023 article
  • Arrigo, F., Higham, D. J., Noferini, V. & Wood, R., Weighted enumeration of nonbacktracking walks on weighted graphs, SIAM Journal on Matrix Analysis and Applications, to appear, 2023 article
  • Beerens, L. & Higham, D. J.Adversarial Ink: Componentwise Backward Error Attacks on Deep Learning, IMA Journal of Applied Mathematics, to appear, 2023 article
  • Gong, X., Higham, D. J. & Zygalakis, K. C.Generative hypergraph models and spectral embedding, Scientific Reports 13, 2023 article
  • Tudisco, F. & Higham, D. J.Core-periphery detection in hypergraphs, SIAM Journal on the Mathematics of Data Science (SIMODS) 5(1) 1-21, 2023 article
  • Aniceto, I., Hasenbichler, D. & Olde Daalhuis, A. B.The late to early time behaviour of an expanding plasma: hydrodynamisation from exponential asymptotics, Journal of Physics A: Mathematical and Theoretical 56(19), 2023 article
  • Melidonis, S., Dobson, P., Altmann, Y., Pereyra, M. & Zygalakis, K. C.Efficient Bayesian Computation for Low-Photon Imaging Problems, Siam journal on imaging sciences 16(3) 1195-1234, 2023 article
  • Eftekhari, A., Vargas Mieles, L. & Zygalakis, K. C.The Forward-Backward Envelope for Sampling with the Overdamped Langevin Algorithm, Statistics and Computing 33, 2023 article
  • Prabhakaran, A., Restocchi, V. & Goddard, B. D.Improving tobacco social contagion models using agent-based simulations on networks, Applied Network Science 8(2023), 2023 article
  • Buttà, P., Goddard, B. D., Hodgson, T., Ottobre, M. & Painter, K. J., Non-mean-field Vicsek-type models for collective behaviour, Mathematical Models and Methods in Applied Sciences 32(14) 2763-2816, 2023 article
  • Pearson, J. W. & Potschka, A., On Symmetric Positive Definite Preconditioners for Multiple Saddle-Point Systems, IMA Journal of Numerical Analysis, to appear, 2023 article
  • Croce, A. D., Dalessandro, E., Livernois, A., Vesperini, E., Fanelli, C., Origlia, L., Bellazzini, M., Oliva, E., Sanna, N. & Varri, A. L.Ongoing hierarchical massive cluster assembly: the LISCA II structure in the Perseus complex, Astronomy and Astrophysics 674 1-20, 2023 article
  • Phipps, F., Khochfar, S.Varri, A. L. & Vecchia, C. D., Linking the Internal Properties of Infant Globular Clusters to their Formation Environments, Monthly Notices of the Royal Astronomical Society 518(3) 4606-4621, 2023 article
  • Kaklamanos, P., Kuehn, C., Popovic, N. & Sensi, M., Entry-exit functions in fast-slow systems with intersecting eigenvalues, Journal of dynamics and differential equations, to appear, 2023 article
  • Kaklamanos, P. & Popovic, N.Complex oscillatory dynamics in a three-timescale El Nino Southern Oscillation model, Physica D: Nonlinear Phenomena 449, 2023 article
  • Recinos Rivas, B.Goldberg, D. & Maddison, J. R.A framework for time-dependent Ice Sheet Uncertainty Quantification, applied to three West Antarctic ice streams, The Cryosphere (TC), to appear, 2023 article
  • Nicholson, M. D., Cheek, D., Antal, T. & Foo, J. (ed.), Sequential mutations in exponentially growing populations, PLoS Computational Biology 19(7) e1011289, 2023 article
  • Capocci, D., Johnson, P. L., Oughtton, S., Biferale, L. & Linkmann, M.New Exact Betchov-like Relation for the Helicity Flux in Homogeneous Turbulence, Journal of Fluid Mechanics 963, 2023 article
  • Cleary, A. & Page, J.Exploring the free-energy landscape of a rotating superfluid, Chaos: An Interdisciplinary Journal of Nonlinear Science, to appear, 2023 article
  • Beneitez, M., Page, J. & Kerswell, R. R., Polymeric diffusive instability leading to elastic turbulence in plane Couette flow, Physical Review Fluids, to appear, 2023 article

2022

  • Brolly, M., Maddison, J. R.Teckentrup, A. L. & Vanneste, J.Bayesian comparison of stochastic models of dispersion, Journal of Fluid Mechanics 944, 2022 article
  • Offner, A. & Vanneste, J.Airborne lifetime of respiratory droplets, Physics of Fluids 34(5), 2022 article
  • Branicki, M. & Uda, K., Path-based divergence rates and Lagrangian uncertainty in stochastic flows, Siam Journal on Applied Dynamical Systems, to appear, 2022 article
  • Zygalakis, K. C.Higham, D. J. & Giovacchino, S. D., A Hierarchy of Network Models Giving Bistability Under Triadic Closure, Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal (MMS), to appear, 2022 article
  • Higham, D. J. & De Kergorlay, H., Mean Field Analysis of Hypergraph Contagion Model, Siam Journal on Applied Mathematics 82(6) 1987-2007, 2022 article
  • Higham, D. J. & De Kergorlay, H., Disease Extinction for Susceptible-Infected-Susceptible Models on Dynamic Graphs and Hypergraphs, Chaos: An Interdisciplinary Journal of Nonlinear Science 32(8), 2022 article
  • Olde Daalhuis, A. B.Exponentially-improved asymptotics and numerics for the (un)perturbed first Painlevé equation, Journal of Physics A: Mathematical and Theoretical 55(30), 2022 article
  • Haji-Ali, A-L., Spence, J. & Teckentrup, A. L.Adaptive Multilevel Monte Carlo for Probabilities, Siam journal on numerical analysis, to appear, 2022 article
  • Herliansyah, R., King, R. & King, S. E.Laplace Approximations for Capture-Recapture Models in the Presence of Individual Heterogeneity, Journal of Agricultural, Biological and Environmental Statistics, to appear, 2022 article
  • Aduamoah, M., Goddard, B. D.Pearson, J. W. & Roden, J., PDE-Constrained Optimization Models and Pseudospectral Methods for Multiscale Particle Dynamics, Bit numerical mathematics, to appear, 2022 article
  • Gondzio, J., Pougkakiotis, S. & Pearson, J. W.General-purpose preconditioning for regularized interior point methods, Computational optimization and applications, to appear, 2022 article
  • Major Depressive Disorder Working Group of the Psychiatric Genomics Consortium, Dissecting the Shared Genetic Architecture of Suicide Attempt, Psychiatric Disorders, and Known Risk Factors, Biological Psychiatry 91(3) 313-327, 2022 article
  • Kaufman, E., Lecoanet, D., Anders, E. H., Brown, B. P., Vasil, G., Oishi, J. S. & Burns, K. J., The stability of Prendergast magnetic fields, Monthly Notices of the Royal Astronomical Society 517(3) 3332-3340, 2022 article
  • Leimkuhler, B. & Sachs, M., EFFICIENT NUMERICAL ALGORITHMS FOR THE GENERALIZED LANGEVIN EQUATION, SIAM Journal on Scientific Computing 44(1) A364-A388, 2022 article
  • Mak, J., Marshall, D. P., Madec, G. & Maddison, J. R.Acute sensitivity of global ocean circulation and heat 2 content to eddy energy dissipation time-scale, Geophysical Research Letters, to appear, 2022 article
  • Lellep, M., Prexl, J., Eckhardt, B. & Linkmann, M.Interpreted machine learning in fluid dynamics: explaining relaminarisation events in wall-bounded shear flows, Journal of Fluid Mechanics 942, 2022 article
  • Yang, R., Zhang, X., Reiter, P., Lohse, D., Shishkina, O. & Linkmann, M.Data-driven identification of the spatiotemporal structure of turbulent flows by streaming dynamic mode decomposition, GAMM Mitteilungen 45(1), 2022 article
  • Calisto Leiva, E., Smyth, N. F. & ASSANTO, GAETANO., Optical isolation via direction-dependent soliton routing in birefringent soft matter, Optics Letters 47(11) 2782-2785, 2022 article
  • Horikis, T., Frantzeskakis, D. J. & Smyth, N. F.Extended shallow water wave equations, Wave Motion 112, 2022 article
  • Assanto, G., Marchant, T. & Smyth, N. F.Interactions of self-localized optical wavepackets in reorientational soft matter, Applied Sciences 12(5), 2022 article
  • Buza, G., Page, J. & Kerswell, R. R., Weakly nonlinear analysis of the viscoelastic instability in channel flow for finite and vanishing Reynolds numbers, Journal of Fluid Mechanics 940, 2022 article
  • Livernois, A. R., Vesperini, E., Varri, A. L., Hong, J. & Tiongco, M., Long-term evolution of multimass rotating star clusters, Monthly Notices of the Royal Astronomical Society 512(2) 2584-2593, 2022 article
  • Leanza, S., Pallanca, C., Ferraro, F. R., Lanzoni, B., Dalessandro, E., Origlia, L., Mucciarelli, A., Valenti, E., Tiongco, M., Varri, A. L. & Vesperini, E., The ESO-VLT MIKiS survey reloaded: velocity dispersion profile and rotation curve of NGC 1904, Astrophysical Journal 929(2) 1-21, 2022 article
  • Tiongco, M., Vesperini, E. & Varri, A. L.Early dynamical evolution of rotating star clusters in a tidal field, Monthly Notices of the Royal Astronomical Society 512(2) 1584-1597, 2022 article
  • Kuzma, P. B., Ferguson, A. M. N.Varri, A. L., Irwin, M. J., Bernard, E. J., Tolstoy, E., Peñarrubia, J. & Zucker, D. B., Forward and Back: Kinematics of the Palomar 5 Tidal Tails, Monthly Notices of the Royal Astronomical Society 512(1) 315-327, 2022 article
  • Page, J. & Zaki, T. A., Vorticity amplification in wavy viscoelastic channel flow, Journal of Fluid Mechanics 949, 2022 article
  • Dubief, Y., Page, J., Kerswell, R., Terrapon, V. & Steinberg, V., First coherent structure in elasto-inertial turbulence, Physical Review Fluids 7, 2022 article

2021

  • Vanneste, J. & R. Young, W., Stokes drift and its discontents, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, to appear, 2021 article
  • 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 923, 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
  • Amini Kafiabad, H., Vanneste, J. & R. Young, W., Wave-averaged balance: a simple example, Journal of Fluid Mechanics, to appear, 2021 article
  • Branicki, M. & Uda, K., Lagrangian uncertainty quantification and information inequalities for stochastic flows, SIAM-ASA Journal on Uncertainty Quantification 9(3) 1242-1313, 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
  • Gong, X., Higham, D. J. & Zygalakis, K. C.Directed Network Laplacians and Random Graph, Royal Society Open Science, 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
  • Zhou, C., Mackay, T. G. & Lakhtakia, A., Singular existence of a Dyakonov–Voigt surface wave: Proof, Results in Physics 24, 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
  • Burke, J. & King, S. E.Edge Tracing using Gaussian Process Regression, IEEE Transactions on Image Processing, to appear, 2021 article
  • Sanz-Serna, J. M. & Zygalakis, K. C.The connections between Lyapunov functions for some optimization algorithms and differential equations, Siam journal on numerical analysis 59(3) 1542-1565, 2021 article
  • Sanz-Serna, J. M. & Zygalakis, K. C.Wasserstein distance estimates for the distributions of numerical approximations to ergodic stochastic differential equations, Journal of Machine Learning Research 22 1-37, 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
  • Goddard, B. D., Hurst, T. & Ocone, R., Modelling inelastic granular media using Dynamical Density Functional Theory, Journal of Statistical Physics 183, 2021 article
  • Leveque, S. & Pearson, J. W.PARAMETER-ROBUST PRECONDITIONING FOR OSEEN ITERATION APPLIED TO STATIONARY AND INSTATIONARY NAVIER-STOKES CONTROL PROBLEMS, SIAM Journal on Scientific Computing, 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
  • Kaklamanos, P., Popovic, N. & Uldall Kristiansen, K., Bifurcations of mixed-mode oscillations in three-timescale systems: an extended prototypical example, Chaos, to appear, 2021 article
  • Livernois, A., Vesperini, E., Tiongco, M., Varri, A. L. & Dalessandro, E., Early dynamics and violent relaxation of multi-mass rotating star clusters, Monthly Notices of the Royal Astronomical Society 506(4) 5781-5801, 2021 article
  • Tiongco, M., Collier, A. & Varri, A. L.Central Dynamics of Multi-mass Rotating Star Clusters, Monthly Notices of the Royal Astronomical Society 506(3) 4488-4498, 2021 article
  • Breen, P. G., Rozier, S., Heggie, D. C. & Varri, A. L.The Kinematic Richness of Star Clusters - II. Stability of Spherical Anisotropic Models with Rotation, Monthly Notices of the Royal Astronomical Society 502(4) 4762-4778, 2021 article
  • Dalessandro, E., Varri, A. L., Tiongco, M., Vesperini, E., Fanelli, C., Mucciarelli, A., Origlia, L., Bellazzini, M., Saracino, S., Oliva, E., Sanna, N., Fabrizio, M. & Livernois, A., First Phase Space Portrait of a Hierarchical Stellar Structure in the Milky Way, Astrophysical Journal 909(1) 1-10, 2021 article