Applied and Computational Mathematics Research Group
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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
Image: CCBY Tzella and Vanneste https://doi.org/10.1103/PhysRevLett.117.114501, cited in http://datashare.is.ed.ac.uk/handle/10283/1910.
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Passive particle trajectories in isotropic 2D turbulence
The data represent a set of simulated particle trajectories, specifically the positions of a set of 1000 passive particles sampled at a uniform discrete timestep. The particles are advected in an idealised forceddissipative ... 
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 ... 
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  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. ... 
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  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 ... 
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 ... 
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 ... 
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. #