Wave dispersion properties of compound finite elements. - Thomas Melvin; John Thuburn (J. Comput. Phys., 2017)

Dispersion analysis of the Pn - P n-1DG mixed finite element pair for atmospheric modelling. - Thomas Melvin (J. Comput. Phys., 2018)

The moving mesh semi-Lagrangian MMSISL method. - Stephen Philip Cook; C. J. Budd; Thomas Melvin (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)

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

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)

Physics-Dynamics-Chemistry Coupling Across Different Meshes in LFRic-Atmosphere: Formulation and Idealised Tests. - Alex Brown; Thomas M. Bendall; Ian Boutle; Thomas Melvin; Ben Shipway (CoRR, 2023)

A mixed finite-element, finite-volume, semi-implicit discretisation for atmospheric dynamics: Spherical geometry. - Thomas Melvin; Ben Shipway; Nigel Wood; Tommaso Benacchio; Thomas M. Bendall; Ian Boutle; Alex Brown; Christine Johnson; James Kent; Stephen Pring; Chris Smith; Mohamed Zerroukat; et al. (CoRR, 2024)

A regional implementation of a mixed finite-element, semi-implicit dynamical core. - Christine Johnson; Ben Shipway; Thomas Melvin; Thomas M. Bendall; James Kent; Ian Boutle; Alex Brown; Mohamed Zerroukat; Benjamin Buchenau; Nigel Wood (CoRR, 2025)

Fast-wave slow-wave spectral deferred correction methods applied to the compressible Euler equations. - Alex Brown; Joscha Fregin; Thomas M. Bendall; Thomas Melvin; Daniel Ruprecht; Jemma Shipton (CoRR, 2025)