Flux difference splitting and the balancing of source terms and flux gradients ME Hubbard, P Garcia-Navarro Journal of Computational Physics 165 (1), 89-125, 2000 | 403 | 2000 |
Multidimensional slope limiters for MUSCL-type finite volume schemes on unstructured grids ME Hubbard Journal of Computational Physics 155 (1), 54-74, 1999 | 284 | 1999 |
A 2D numerical model of wave run-up and overtopping ME Hubbard, N Dodd Coastal Engineering 47 (1), 1-26, 2002 | 244 | 2002 |
A moving mesh finite element algorithm for the adaptive solution of time-dependent partial differential equations with moving boundaries MJ Baines, ME Hubbard, PK Jimack Applied Numerical Mathematics 54 (3-4), 450-469, 2005 | 118 | 2005 |
Velocity-based moving mesh methods for nonlinear partial differential equations MJ Baines, ME Hubbard, PK Jimack Communications in Computational Physics 10 (3), 509-576, 2011 | 80 | 2011 |
Multiphase modelling of vascular tumour growth in two spatial dimensions ME Hubbard, HM Byrne Journal of theoretical biology 316, 70-89, 2013 | 79 | 2013 |
Genuinely multidimensional upwinding for the 2D shallow water equations P Garcia-Navarro, ME Hubbard, A Priestley Journal of Computational Physics 121 (1), 79-93, 1995 | 64 | 1995 |
A three-dimensional, adaptive, Godunov-type model for global atmospheric flows ME Hubbard, N Nikiforakis Monthly weather review 131 (8), 1848-1864, 2003 | 63 | 2003 |
Compact high‐resolution algorithms for time‐dependent advection on unstructured grids ME Hubbard, PL Roe International journal for numerical methods in fluids 33 (5), 711-736, 2000 | 58 | 2000 |
Bayesian calibration, validation and uncertainty quantification for predictive modelling of tumour growth: a tutorial J Collis, AJ Connor, M Paczkowski, P Kannan, J Pitt-Francis, HM Byrne, ... Bulletin of mathematical biology 79, 939-974, 2017 | 51 | 2017 |
Mathematical and computational models of drug transport in tumours CM Groh, ME Hubbard, PF Jones, PM Loadman, N Periasamy, ... Journal of the Royal Society interface 11 (94), 20131173, 2014 | 51 | 2014 |
Effective equations governing an active poroelastic medium J Collis, DL Brown, ME Hubbard, RD O’Dea Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2017 | 48 | 2017 |
Conservative multidimensional upwinding for the steady two-dimensional shallow water equations ME Hubbard, MJ Baines Journal of Computational Physics 138 (2), 419-448, 1997 | 47 | 1997 |
Scale-invariant moving finite elements for nonlinear partial differential equations in two dimensions MJ Baines, ME Hubbard, PK Jimack, AC Jones Applied Numerical Mathematics 56 (2), 230-252, 2006 | 45 | 2006 |
A 2D extension of a Large Time Step explicit scheme (CFL> 1) for unsteady problems with wet/dry boundaries M Morales-Hernandez, ME Hubbard, P Garcia-Navarro Journal of computational physics 263, 303-327, 2014 | 41 | 2014 |
Nonlinear multigrid methods for second order differential operators with nonlinear diffusion coefficient KJ Brabazon, ME Hubbard, PK Jimack Computers & Mathematics with Applications 68 (12), 1619-1634, 2014 | 32 | 2014 |
Moving mesh methods for solving parabolic partial differential equations R Marlow, ME Hubbard, PK Jimack Computers & fluids 46 (1), 353-361, 2011 | 27 | 2011 |
A moving-mesh finite element method and its application to the numerical solution of phase-change problems MJ Baines, ME Hubbard, PK Jimack, R Mahmood Communications in Computational Physics 6 (3), 595-624, 2009 | 25 | 2009 |
Discontinuous fluctuation distribution M Hubbard Journal of Computational Physics 227 (24), 10125-10147, 2008 | 24 | 2008 |
A moving mesh finite element algorithm for fluid flow problems with moving boundaries MJ Baines, ME Hubbard, PK Jimack International journal for numerical methods in fluids 47 (10‐11), 1077-1083, 2005 | 23 | 2005 |