A least squares based finite volume method for the Cahn-Hilliard and Cahn-Hilliard-reaction equations. - Steven Dargaville; Troy W. Farrell (J. Comput. Appl. Math., 2015)

A POD reduced order model for resolving angular direction in neutron/photon transport problems. - Andrew G. Buchan; A. A. Calloo; Mark G. Goffin; Steven Dargaville; Fangxin Fang; Christopher C. Pain; Ionel Michael Navon (J. Comput. Phys., 2015)

Goal-based angular adaptivity applied to a wavelet-based discretisation of the neutral particle transport equation. - Mark A. Goffin; Andrew G. Buchan; Steven Dargaville; Christopher C. Pain; Paul N. Smith; Richard P. Smedley-Stevenson (J. Comput. Phys., 2015)

Angular adaptivity with spherical harmonics for Boltzmann transport. - Steven Dargaville; Andrew G. Buchan; Richard P. Smedley-Stevenson; Paul N. Smith; Christopher C. Pain (J. Comput. Phys., 2019)

Scalable angular adaptivity for Boltzmann transport. - Steven Dargaville; Andrew G. Buchan; Richard P. Smedley-Stevenson; Paul N. Smith; Christopher C. Pain (J. Comput. Phys., 2020)

Goal-based angular adaptivity for Boltzmann transport in the presence of ray-effects. - Steven Dargaville; Richard P. Smedley-Stevenson; Paul N. Smith; Christopher C. Pain (J. Comput. Phys., 2020)

A comparison of element agglomeration algorithms for unstructured geometric multigrid. - Steven Dargaville; Andrew G. Buchan; Richard P. Smedley-Stevenson; Paul N. Smith; Christopher C. Pain (J. Comput. Appl. Math., 2021)

AIR multigrid with GMRES polynomials (AIRG) and additive preconditioners for Boltzmann transport. - Steven Dargaville; Richard P. Smedley-Stevenson; Paul N. Smith; Christopher C. Pain (J. Comput. Phys., 2024)

Coarsening and parallelism with reduction multigrids for hyperbolic Boltzmann transport. - Steven Dargaville; Richard P. Smedley-Stevenson; Paul N. Smith; Christopher C. Pain (Int. J. High Perform. Comput. Appl., 2025)

Implementing the discontinuous-Galerkin finite element method using graph neural networks with application to diffusion equations. - Linfeng Li; Jiansheng Xiang; Boyang Chen 002; Claire E. Heaney; Steven Dargaville; Christopher C. Pain (Neural Networks, 2025)