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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.

Fingerprint Dive into the research topics where Eike Mueller is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

Partial differential equations Engineering & Materials Science
Elliptic Partial Differential Equations Mathematics
Molecular dynamics Engineering & Materials Science
Data storage equipment Engineering & Materials Science
Scalability Engineering & Materials Science
Flow simulation Engineering & Materials Science
Flow Simulation Mathematics
Climate models Engineering & Materials Science

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Research Output 2013 2019

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

Climate models

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

elliptic differential equations

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
Hermann Von Helmholtz
Dirichlet Problem
Error Estimates
Sharp Bound
1 Citation (Scopus)
3 Downloads (Pure)

A Domain Specific Language for Performance Portable Molecular Dynamics Algorithms

Saunders, W. R., Grant, J. & Müller, E., 1 Mar 2018, In : Computer Physics Communications. 224, p. 119–135 17 p.

Research output: Contribution to journalArticle

Open Access
Molecular dynamics
molecular dynamics
Computer systems
Parallel architectures

Long range forces in a performance portable Molecular Dynamics framework

Saunders, W., Grant, J. & Müller, E., Mar 2018, Parallel Computing is Everywhere: Proceedings of the ParCo2017 Parallel Computing Conference. Bassini, S., Danelutto, M., Dazzi, P., Joubert, G. R. & Peters, F. (eds.). IOS Press, Vol. 32. p. 37 - 46 9 p. (Advances in Parallel Computing; vol. 32).

Research output: Chapter in Book/Report/Conference proceedingChapter

Molecular dynamics
Electrostatic force
Charged particles
Coulomb interactions


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