Research in the School of Mathematics is undertaken in a wide variety of areas of the mathematical sciences, including pure, applied, statistics, operational research as well as mathematical physics. The research environment is enhanced by the International Centre for Mathematical Sciences and by close collaboration with Heriot-Watt University through the Maxwell Institute.

Research groups include:

  • Algebra and Number Theory
  • Analysis
  • Geometry and Topology
  • Mathematical Physics
  • Operational Research and Optimization
  • Probability & Stochastic Analysis
  • Statistics

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Recent Submissions

  • Synthetic IR data for the Attia et al. (2020) battery dataset 

    Strange, Calum; dos Reis, Goncalo
    Data produced to accompany the paper Strange et al. (2021, Feb): Calum Strange, Shawn Li, Richard Gilchrist and Goncalo dos Reis, 2021 Feb, 'Elbows of Internal Resistance Rise Curves in Li-Ion Cells ' (https://www.mdpi.c ...
  • Bursting equilibria and travelling waves in Kolmogorov flow 

    Page, Jacob; Brenner, Michael P; Kerswell, Rich R
    This dataset contains equilibrium and travelling wave solutions for 2D Kolmogorov flow (monochromatically forced with wavenumber n=4) at a Reynolds number Re=40. These solutions are also documented in the manuscript ...
  • Instances for "Increasing electric vehicle adoption through the optimal deployment of fast-charging stations for local and long-distance travel" 

    Anjos, Miguel F; Gendron, Bernard; Joyce-Moniz, Martim
    Two networks representing possible locations for electric vehicle charging stations in the province of Quebec in Canada, and in the state of California in the U.S.A. This data was created by the authors of the paper ...
  • Data file for the submitted publication "Robustness of the microtubule network self-organization in epithelia" 

    Bulgakova, Natalia A; Ramírez Moreno, Miguel
    Combining mathematical modelling with genetic manipulations in Drosophila, we show that the microtubule self-organization indeed does not depend on dynamics of individual microtubules, and thus is robust on the tissue level.
  • ISST Deca-Alanine 

    Martinsson, Anton; Trstanova, Zofia
    This dataset contains a deca-alanine trajectory analysed in paper "Local and Global Perspectives on Diffusion Maps in the Analysis of Molecular Systems" by Trstanova 2019. The trajectory was obtained using an ...
  • GEOMETRIC (MITgcm) diagnostic data 

    Mak, Julian; Maddison, James; Marshall, David; Munday, Dave
    Dataset for the article "Implementation of a geometrically and energetically constrained mesoscale eddy parameterisation in an ocean circulation model".
  • Wave packet dynamics in the optimal superadiabatic approximation - Matlab code 

    Goddard, Benjamin
    Matlab code for computation of transitions through avoided crossings using superadiabatic representations. See e.g. Wave packet dynamics in the optimal superadiabatic approximation V. Betz, B. D. Goddard, and U. ...
  • 2DChebClass 

    Goddard, Benjamin; Nold, Andreas; Kalliadasis, Serafim
    We present a Matlab implementation of a novel, efficient pseudo-spectral collocation scheme for the solution of stiff, non-local, non-linear PDEs in one and two spatial dimensions. In particular, we compute the non-local ...
  • Wave packet dynamics in the optimal superadiabatic approximation - Data 

    Goddard, Benjamin
    Data and figure files for the paper Wave packet dynamics in the optimal superadiabatic approximation V. Betz, B. D. Goddard, and U. Manthe The Journal of Chemical Physics 144, 224109 (2016) doi: 10.1063/1.4953577 Open ...
  • Emergent eddy saturation diagnostic data 

    Bachman, Scott; Marshall, David; Mak, Julian; Maddison, James R
    Dataset for the article "Emergent eddy saturation from an energy constrained eddy parameterisation".
  • SUPERSEDED - Emergent eddy saturation diagnostic data 

    Mak, Julian; Marshall, David; Maddison, James R; Bachman, Scott
    Dataset for the article "Emergent eddy saturation from an energy constrained eddy parameterisation". Superseded by:
  • g-BAOAB source files 

    Matthews, Charles
    The files included here are the code files needed to implement the geodesic integration schemes relevant to the manuscript: "Efficient molecular dynamics using geodesic integration and solvent-solute splitting" (Proceedings ...
  • Dispersion in networks 

    Danioux, Eric
    Ensemble of Matlab routines to calculate the time evolution of a scalar in a network following the advection-diffusion equation. The particular case of dispersion in the Manhattan road grid is included. Please refer to ...
  • Fast methods for training Gaussian processes 

    Moore, Christopher J; Chua, Alvin J K; Berry, Christopher P L; Gair, Jonathan R
    This submission includes a simplified version of some code we have been developing for fast training of Gaussian processes. We also include a sample data set, which is NOAA tidal data from Woods Hole in the US, downloaded ...
  • Scattering of inertial waves by random flows 

    Danioux, Eric
    This dataset contains a matlab code that simulates the Young and Ben Jelloul equation for inertial waves propagating in a 2D flow. Also attached is a program to generate a 2D gaussian random flow, and a routine to calculate ...
  • Eddy diffusivity diagnostics data 

    Mak, Julian; Maddison, James R; Marshall, David
    Coarse resolution numerical ocean models must typically include a parameterisation for mesoscale turbulence. A common recipe for such parameterisations is to invoke down-gradient mixing, or diffusion, of some tracer quantity, ...
  • Constrained interpolation data (superseded) 

    Maddison, James R; Hiester, Hannah R
    # This data item has been replaced by the one which can be found at #
  • Quasi-geostrophic double gyre force function data 

    Maddison, James R; Marshall, DP; Shipton, J
  • Parallel simplex benchmarking results 

    Huangfu, Qi; Hall, J.A.J.
    Data used to generate results in "Parallelizing the dual revised simplex method", a copy of which is attached.

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