Matrix-free GPU implementation of a preconditioned conjugate gradient solver for anisotropic elliptic PDEs. - Eike Hermann Müller; Xu Guo; Robert Scheichl; Sinan Shi (Comput. Vis. Sci., 2013)

Massively parallel solvers for elliptic PDEs in Numerical Weather- and Climate Prediction. - Eike Hermann Müller; Robert Scheichl (CoRR, 2013)

Parallelisation of the Lagrangian atmospheric dispersion model NAME. - Eike Hermann Müller; Rupert W. Ford; Matthew C. Hort; Lois Huggett; Graham D. Riley; David J. Thomson (Comput. Phys. Commun., 2013)

Efficient Multigrid Preconditioners for Anisotropic Problems in Geophysical Modelling. - Andreas Dedner; Eike Hermann Müller; Robert Scheichl (CoRR, 2014)

Petascale elliptic solvers for anisotropic PDEs on GPU clusters. - Eike Hermann Müller; Robert Scheichl; Benson Muite; Eero Vainikko (CoRR, 2014)

Petascale solvers for anisotropic PDEs in atmospheric modelling on GPU clusters. - Eike Hermann Müller; Robert Scheichl; Eero Vainikko (Parallel Comput., 2015)

High level implementation of geometric multigrid solvers for finite element problems: Applications in atmospheric modelling. - Lawrence Mitchell; Eike Hermann Müller (J. Comput. Phys., 2016)

Long Range Forces in a Performance Portable Molecular Dynamics Framework. - William Robert Saunders; James Grant; Eike Hermann Müller (PARCO, 2017)

A domain specific language for performance portable molecular dynamics algorithms. - William R. Saunders; James Grant; Eike Hermann Müller (Comput. Phys. Commun., 2018)

Multilevel Monte Carlo and improved timestepping methods in atmospheric dispersion modelling. - Grigoris Katsiolides; Eike Hermann Müller; Robert Scheichl; Tony Shardlow; Michael B. Giles; David J. Thomson (J. Comput. Phys., 2018)

A deep surrogate approach to efficient Bayesian inversion in PDE and integral equation models. - Teo Deveney; Eike Hermann Müller; Tony Shardlow (CoRR, 2019)

Matrix-free multigrid block-preconditioners for higher order discontinuous Galerkin discretisations. - Peter Bastian; Eike Hermann Müller; Steffen Müthing; Marian Piatkowski (J. Comput. Phys., 2019)

LFRic: Meeting the challenges of scalability and performance portability in Weather and Climate models. - Samantha V. Adams; Rupert W. Ford; M. Hambley; J. M. Hobson; I. Kavcic; Christopher M. Maynard; Thomas Melvin; Eike Hermann Müller; S. Mullerworth; Andrew R. Porter; Mike Rezny; Ben Shipway; et al. (J. Parallel Distributed Comput., 2019)

Wavenumber-explicit analysis for the Helmholtz h-BEM: error estimates and iteration counts for the Dirichlet problem. - Jeffrey Galkowski; Eike Hermann Müller; Euan A. Spence (Numerische Mathematik, 2019)

Multigrid preconditioners for the mixed finite element dynamical core of the LFRic atmospheric model. - Christopher M. Maynard; Thomas Melvin; Eike Hermann Müller (CoRR, 2020)

Multigrid preconditioners for the hybridized Discontinuous Galerkin discretisation of the shallow water equations. - Jack D. Betteridge; Thomas H. Gibson; Ivan G. Graham; Eike Hermann Müller (CoRR, 2020)

Monte Carlo simulations of interacting particles with fast and accurate electrostatics. - William Robert Saunders; James Grant; Eike Hermann Müller (CoRR, 2020)

Parallel Performance of ARM ThunderX2 for Atomistic Simulation Algorithms. - William Robert Saunders; James Grant; Eike Hermann Müller (CoRR, 2020)

Multilevel Monte Carlo for quantum mechanics on a lattice. - Karl Jansen; Eike Hermann Müller; Robert Scheichl (CoRR, 2020)

Fast electrostatic solvers for kinetic Monte Carlo simulations. - William Robert Saunders; James Grant; Eike Hermann Müller; Ian Thompson (J. Comput. Phys., 2020)

Multigrid preconditioners for the hybridised discontinuous Galerkin discretisation of the shallow water equations. - Jack D. Betteridge; Thomas H. Gibson; Ivan G. Graham; Eike Hermann Müller (J. Comput. Phys., 2021)

A new algorithm for electrostatic interactions in Monte Carlo simulations of charged particles. - William Robert Saunders; James Grant; Eike Hermann Müller (J. Comput. Phys., 2021)

Deep surrogate accelerated delayed-acceptance HMC for Bayesian inference of spatio-temporal heat fluxes in rotating disc systems. - Teo Deveney; Eike Hermann Müller; Tony Shardlow (CoRR, 2022)

Hybridised multigrid preconditioners for a compatible finite element dynamical core. - Jack D. Betteridge; Colin J. Cotter; Thomas H. Gibson; Matthew J. Griffith; Thomas Melvin; Eike Hermann Müller (CoRR, 2022)

Exact conservation laws for neural network integrators of dynamical systems. - Eike Hermann Müller (J. Comput. Phys., 2023)

Deep Surrogate Accelerated Delayed-Acceptance Hamiltonian Monte Carlo for Bayesian Inference of Spatio-Temporal Heat Fluxes in Rotating Disc Systems. - Teo Deveney; Eike Hermann Müller; Tony Shardlow (SIAM/ASA J. Uncertain. Quantification, 2023)

A Higher-order Hybridisable Discontinuous Galerkin IMEX method for the incompressible Euler equations. - Eike Hermann Müller (CoRR, 2024)