Runge-Kutta IMEX schemes for the Horizontally Explicit/Vertically Implicit (HEVI) solution of wave equations. - Hilary Weller; Sarah-Jane Lock; Nigel Wood (J. Comput. Phys., 2013)

Mesh adaptation on the sphere using optimal transport and the numerical solution of a Monge-Ampère type equation. - Hilary Weller; Philip A. Browne; Chris J. Budd; Mike J. P. Cullen (J. Comput. Phys., 2016)

Multidimensional method-of-lines transport for atmospheric flows over steep terrain using arbitrary meshes. - James Shaw; Hilary Weller; John Methven; Terry Davies (J. Comput. Phys., 2017)

Corrigendum to "Multidimensional method-of-lines transport for atmospheric flows over steep terrain using arbitrary meshes" [J. Comput. Phys. - James Shaw; Hilary Weller; John Methven; Terry Davies (J. Comput. Phys., 2017)

Conservation with moving meshes over orography. - Hiroe Yamazaki; Hilary Weller; Colin J. Cotter; Philip A. Browne (J. Comput. Phys., 2022)

Adaptively Implicit Advection for Atmospheric Flows. - Hilary Weller; Christian Kühnlein; Piotr K. Smolarkiewicz (CoRR, 2024)

New limiter regions for multidimensional flows. - James Woodfield; Hilary Weller; Colin J. Cotter (J. Comput. Phys., 2024)