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Personal profile

Research interests

With ever increasing computational power it has become possible to solve physical problems of an unprecedented complexity. I am interested in numerical techniques for simulating systems at all length scales, from high resolution atmospheric models to subatomic particles. As a member of the Numerical Analysis group I work on the development of fast numerical algorithms and their implementation in efficient and parallel computer code.

In the past I contributed to several areas of Scientific Computing, most recently as a PostDoc (University of Bath, Sep 2011 - Jan 2015), where I developed and improved massively parallel solvers for the pressure correction in numerical weather- and climate forecast models; this work was carried out in collaboration with the Met Office as part of the GungHo! project. Prior to this I worked as a research scientist at the Met Office (Nov 2009 - Aug 2011). My main task was the improvement and OpenMP parallelisation of the NAME model code for the prediction of the transport of atmospheric pollutants, such as volcanic ash. I am a physicist by training and received a PhD in computational particle physics from the University of Edinburgh (Nov 2009), after studying in Germany and Scotland.

The focus of my current research is the development of fast solvers for PDEs, with particular focus on writing efficient, yet maintainable, code in suitable frameworks such as DUNE and firedrake/PyOP2. Together with external partners I apply those techniques to real-life problems such as numerical weather- and climate forecast models. In addition to implementations on massively parallel CPU clusters I am interested in modern manycore architectures (GPUs and Xeon Phis). I also work on the application of Multilevel Monte Carlo methods to atmospheric dispersion modelling and the development of a performance portable framework for atomistic simulations in physics and chemistry.

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Research Output

Fast electrostatic solvers for kinetic Monte Carlo simulations

Saunders, W., Grant, J., Müller, E. & Thompson, I., 29 Feb 2020, (Accepted/In press) In : Journal of Computational Physics. 28 p.

Research output: Contribution to journalArticle


Multigrid preconditioners for the mixed finite element dynamical core of the LFRic atmospheric model

Maynard, C., Melvin, T. & Müller, E., 31 Jan 2020, (Submitted) In : Quarterly Journal of the Royal Meteorological Society. 13 p.

Research output: Contribution to journalArticle

LFRic: Meeting the challenges of scalability and performance portability in Weather and Climate models

Adams, S. V., Ford, R. W., Hambley, M., Hobson, J. M., Kavcic, I., Maynard, C. M., Melvin, T., Müller, E., Mullerworth, S., Porter, A. R., Rezney, M., Shipway, B. J. & Wong, R., 1 Oct 2019, In : Journal of Parallel and Distributed Computing. 132, p. 383-396 14 p.

Research output: Contribution to journalArticle

  • Matrix-free multigrid block-preconditioners for higher order Discontinuous Galerkin discretisations

    Bastian, P., Müller, E., Muething, S. & Piatkowski, M., 1 Oct 2019, In : Journal of Computational Physics. 394, p. 417-439 23 p.

    Research output: Contribution to journalArticle

  • 1 Citation (Scopus)

    Wavenumber-explicit analysis for the Helmholtz h-BEM: error estimates and iteration counts for the Dirichlet problem

    Galkowski, J., Müller, E. & Spence, E., 1 Jun 2019, In : Numerische Mathematik. 142, 2, p. 329-357 29 p.

    Research output: Contribution to journalArticle

    Open Access
  • Thesis

    Development Of A Performance-Portable Framework For Atomistic Simulations

    Author: Saunders, W. R., 13 Feb 2019

    Supervisor: Mueller, E. (Supervisor), Parker, S. (Supervisor), Grant, R. (Supervisor) & Scheichl, R. (Supervisor)

    Student thesis: Doctoral ThesisPhD


    Multi Level Monte Carlo Methods for Atmospheric Dispersion Modelling

    Author: Cook, S., 22 Nov 2013

    Supervisor: Scheichl, R. (Supervisor) & Mueller, E. (Supervisor)

    Student thesis: Doctoral ThesisMPhil