School of Mathematics
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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 HeriotWatt 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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Applied and Computational Mathematics Research Group
Research Group
Collections in this community

An Nbody simulation of M4
a large Nbody simulation of the globular cluster M4
Recent Submissions

Synthetic IR data for the Attia et al. (2020) battery dataset
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 LiIon Cells ' (https://www.mdpi.c ... 
Bursting equilibria and travelling waves in Kolmogorov flow
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 fastcharging stations for local and longdistance travel"
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 selforganization in epithelia"
Combining mathematical modelling with genetic manipulations in Drosophila, we show that the microtubule selforganization indeed does not depend on dynamics of individual microtubules, and thus is robust on the tissue level. 
ISST DecaAlanine
This dataset contains a decaalanine trajectory analysed in paper "Local and Global Perspectives on Diffusion Maps in the Analysis of Molecular Systems" by Trstanova et.al. 2019. The trajectory was obtained using an ... 
GEOMETRIC (MITgcm) diagnostic data
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  Data
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 ... 
2DChebClass
We present a Matlab implementation of a novel, efficient pseudospectral collocation scheme for the solution of stiff, nonlocal, nonlinear PDEs in one and two spatial dimensions. In particular, we compute the nonlocal ... 
Wave packet dynamics in the optimal superadiabatic approximation  Matlab code
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. ... 
Emergent eddy saturation diagnostic data
Dataset for the article "Emergent eddy saturation from an energy constrained eddy parameterisation". 
SUPERSEDED  Emergent eddy saturation diagnostic data
Dataset for the article "Emergent eddy saturation from an energy constrained eddy parameterisation". Superseded by: http://datashare.is.ed.ac.uk/handle/10283/2365 
gBAOAB source files
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 solventsolute splitting" (Proceedings ... 
Dispersion in networks
Ensemble of Matlab routines to calculate the time evolution of a scalar in a network following the advectiondiffusion equation. The particular case of dispersion in the Manhattan road grid is included. Please refer to ... 
Fast methods for training Gaussian processes
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
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
Coarse resolution numerical ocean models must typically include a parameterisation for mesoscale turbulence. A common recipe for such parameterisations is to invoke downgradient mixing, or diffusion, of some tracer quantity, ... 
Constrained interpolation data (superseded)
# This data item has been replaced by the one which can be found at https://doi.org/10.7488/ds/1362. # 
Parallel simplex benchmarking results
Data used to generate results in "Parallelizing the dual revised simplex method" http://www.maths.ed.ac.uk/hall/HuHa13/, a copy of which is attached.