Dr Nurul Huda Mohd Ramli


Lecturer, Faculty of Science


I am currently a mathematics lecturer in the Faculty of Science (FOS) at Universiti Brunei Darussalam. I am a PhD graduate in Applied Mathematics from University College London, under the supervision of Prof. Gavin Esler. Prior to this, I obtained an MSc in Complex Systems Modelling from King's College London in 2011 and a BSc in Mathematics from University College London in 2010. I am a firm supporter in promoting and advancing the careers of women in mathematics and was a member of the Athena SWAN self-assessment team in the department of mathematics at UCL during my time there. I am also one of the founders of the mathematics magazine called "Chalkdust", established in London.


Stochastic trajectory modelling in atmospheric transport problems
Computational methods in geophysical fluid dynamics
Density estimation


Dynamic kernel density estimation in the chaotic advection problem

The aim of the project is to develop numerical strategies for obtaining accurate estimations of the tracer concentration fields from the ensemble of stochastic trajectory solutions of the Lagrangian particle dispersion model. Specifically, more information can be obtained in a stochastic problem than just a static density. We can go beyond standard kernel density estimation (KDE) methods by exploiting the fact that we are solving a dynamic problem. Hence we can introduce a new class of methods, which we will call the dynamic KDE (DKDE). The starting point of DKDE is the Green's function representation of the solution to the advection-diffusion equation (or Fokker-Planck equation). The Green's function for a short-time interval is then approximated by considering the leading order WKBJ series solution of the advection-diffusion equation, under the assumption that the diffusivity parameter is small.

Applications Invited


Mohd Ramli, H., Katzav, E. and Prez Castillo, I. Spectral properties of the Jacobi ensembles via the 'Coulomb gas approach'. Journal of Physics A: Mathematical and Theoretical, 45, 465005, (2012).

Mohd Ramli, H. and Esler, G. Quantitative evaluation of numerical integration schemes for Lagrangian particle dispersion models. Geoscientific Model Development, 9, 2441-2457, (2016).

Esler, J. G. and Mohd Ramli, H., Shear dispersion in the turbulent atmospheric boundary layer. Q.J.R. Meteorol. Soc.. Accepted Author Manuscript. doi:10.1002/qj.3039 (2017).