Research interests in the group encompass a wide range of computational applied mathematics including numerical methods for ODEs and PDEs, molecular dynamics, geophysical fluid dynamics, nonlinear waves, and numerical hydrodynamics. There is also strong interest in mathematical biology, theoretical astrophysics, asymptotics, applied dynamical systems, uncertainty quantification, electromagnetic theory of complex mediums, and multiscale modelling and analysis.

www.maths.ed.ac.uk/research/acm

Collections in this community

Recent Submissions

  • 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  • SUPERSEDED - Emergent eddy saturation diagnostic data 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 Superseded by: http://datashare.is.ed.ac.uk/handle/10283/2365
  • 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 ...
  • 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 ...
  • Constrained interpolation data (superseded) 

    Maddison, James R; Hiester, Hannah R
    # This data item has been replaced by the one which can be found at http://dx.doi.org/10.7488/ds/1362. #
  • Quasi-geostrophic double gyre force function data 

    Maddison, James R; Marshall, DP; Shipton, J