Stability and convergence of a finite volume method for the space fractional advection–dispersion equation H Hejazi, T Moroney, F Liu Journal of Computational and Applied Mathematics 255, 684-697, 2014 | 80 | 2014 |

Growth of confined cancer spheroids: a combined experimental and mathematical modelling approach D Loessner, JA Flegg, HM Byrne, JA Clements, DW Hutmacher Integrative Biology 5 (3), 597-605, 2013 | 51 | 2013 |

A finite volume scheme with preconditioned Lanczos method for two-dimensional space-fractional reaction–diffusion equations Q Yang, I Turner, T Moroney, F Liu Applied Mathematical Modelling 38 (15-16), 3755-3762, 2014 | 43 | 2014 |

What is the apparent angle of a Kelvin ship wave pattern? R Pethiyagoda, SW McCue, TJ Moroney Journal of Fluid Mechanics 758, 468-485, 2014 | 37 | 2014 |

A banded preconditioner for the two-sided, nonlinear space-fractional diffusion equation T Moroney, Q Yang Computers & Mathematics with Applications 66 (5), 659-667, 2013 | 31 | 2013 |

Gravity-driven fingering simulations for a thin liquid film flowing down the outside of a vertical cylinder LC Mayo, SW McCue, TJ Moroney Physical Review E 87 (5), 053018, 2013 | 31 | 2013 |

A three-dimensional finite volume method based on radial basis functions for the accurate computational modelling of nonlinear diffusion equations TJ Moroney, IW Turner Journal of Computational Physics 225 (2), 1409-1426, 2007 | 30 | 2007 |

Asymptotic and numerical results for a model of solvent-dependent drug diffusion through polymeric spheres SW McCue, M Hsieh, TJ Moroney, MI Nelson SIAM Journal on Applied Mathematics 71 (6), 2287-2311, 2011 | 28 | 2011 |

Efficient solution of two-sided nonlinear space-fractional diffusion equations using fast Poisson preconditioners T Moroney, Q Yang Journal of Computational Physics 246, 304-317, 2013 | 27 | 2013 |

A finite volume method based on radial basis functions for two-dimensional nonlinear diffusion equations TJ Moroney, IW Turner Applied mathematical modelling 30 (10), 1118-1133, 2006 | 27 | 2006 |

Jacobian-free Newton–Krylov methods with GPU acceleration for computing nonlinear ship wave patterns R Pethiyagoda, SW McCue, TJ Moroney, JM Back Journal of Computational Physics 269, 297-313, 2014 | 26 | 2014 |

A finite volume method for solving the two-sided time-space fractional advection-dispersion equation H Hejazi, T Moroney, F Liu Open Physics 11 (10), 1275-1283, 2013 | 24 | 2013 |

The effect of surface tension and kinetic undercooling on a radially-symmetric melting problem JM Back, SW McCue, MHN Hsieh, TJ Moroney Applied Mathematics and Computation 229, 41-52, 2014 | 23 | 2014 |

Efficient simulation of unsaturated flow using exponential time integration EJ Carr, TJ Moroney, IW Turner Applied Mathematics and Computation 217 (14), 6587-6596, 2011 | 23 | 2011 |

Including nonequilibrium interface kinetics in a continuum model for melting nanoscaled particles JM Back, SW McCue, TJ Moroney Scientific reports 4, 7066, 2014 | 20 | 2014 |

Novel numerical methods for time-space fractional reaction diffusion equations in two dimensions Q Yang, T Moroney, K Burrage, I Turner, F Liu ANZIAM Journal 52, 395-409, 2010 | 20 | 2010 |

Wake angle for surface gravity waves on a finite depth fluid R Pethiyagoda, SW McCue, TJ Moroney Physics of Fluids 27 (6), 061701, 2015 | 15 | 2015 |

A finite volume method for two-sided fractional diffusion equations on non-uniform meshes A Simmons, Q Yang, T Moroney Journal of Computational Physics 335, 747-759, 2017 | 14 | 2017 |

GPU accelerated algorithms for computing matrix function vector products with applications to exponential integrators and fractional diffusion ME Farquhar, TJ Moroney, Q Yang, IW Turner SIAM Journal on Scientific Computing 38 (3), C127-C149, 2016 | 13 | 2016 |

A preconditioned numerical solver for stiff nonlinear reaction–diffusion equations with fractional Laplacians that avoids dense matrices A Simmons, Q Yang, T Moroney Journal of Computational Physics 287, 254-268, 2015 | 13 | 2015 |