| Hubbard, ME; Baines, MJ; Jimack, PK Consistent Dirichlet boundary conditions for numerical solution of moving boundary problems. Applied Numerical Mathematics, vol. 59, pp.1337-1353. 2009. | DOI |
| Baines, MJ; Hubbard, ME; Jimack, PK; Mahmood, R A moving-mesh finite element method and its application to the numerical solution of phase-change problems. Communications in Computational Physics, vol. 6, pp.595-624. 2009. | |
| Hubbard, ME; Mebrate, NZ Very high order, non-oscillatory fluctuation distribution schemes in: Deconinck, Herman; Dick, Erik (editors) Computational Fluid Dynamics 2006 Proceedings of the Fourth International Conference on Computational Fluid Dynamics, ICCFD4, pp.65-70. Springer. 2009. | |
| Hubbard, ME A framework for discontinuous fluctuation distribution. International Journal for Numerical Methods in Fluids, vol. 56, pp.1305-1311. 2008. | |
| Hubbard, M E A framework for discontinuous fluctuation distribution in: Sweby, P K (editors) Proceedings of 9th Conference on Numerical Methods for Fluid Mechanics. ICFD. 2007. | |
| Hubbard, ME Non-oscillatory third order fluctuation splitting schemes for steady scalar conservation laws. Journal of Computational Physics, vol. 222, pp.740-768. 2007. | DOI |
| Baines, MJ; Hubbard, ME; Jimack, PK; Jones, AC Scale-invariant moving finite elements for nonlinear partial differential equations in two dimensions. Applied Numerical Mathematics, vol. 56, pp.230-252. 2006. | DOI |
| Hubbard, ME Non-oscillatory, third order fluctuation splitting schemes in: Benkhaldoun, F, Ouazar, D & Raghay, S (editors) Finite Volumes for Complex Applications IV, pp.377-387. Hermes Science. 2005. | |
| Hubbard, ME; Leach, JA; Wei, JC Pattern formation in a two-dimensional simple chemical system with general orders of autocatalysis and decay. IMA Journal of Applied Mathematics, vol. 70, pp.723-747. 2005. | DOI |
| Hubbard, ME; Laird, AL Achieving high-order fluctuation splitting schemes by extending the stencil. Computers & Fluids, vol. 34, pp.443-459. 2005. | DOI |
| Baines, MJ; Hubbard, ME; Jimack, PK A moving mesh finite element algorithm for the adaptive solution of time-dependent partial differential equations with moving boundaries. Applied Numerical Mathematics, vol. 54, pp.450-469. 2005. | DOI |
| Baines, MJ; Hubbard, ME; Jimack, PK A moving mesh finite element algorithm for fluid flow problems with moving boundaries. International Journal for Numerical Methods in Fluids, vol. 47, pp.1077-1083. 2005. | DOI |
| Baines, MJ; Hubbard, ME; Jimack, PK A Lagrangian moving finite element method incorporating monitor functions in: Lu, Y Y, Sun, W W & Tang, T (editors) Advances in Scientific Computing and Applications, pp.32-44. Science Press. 2004. | |
| Baines, MJ; Hubbard, ME; Jimack, PK A moving mesh finite element algorithm for fluid flow problems with moving boundaries in: M.J.Baines (editors) Numerical Methods for Fluid Dynamics VIII. 2004. | |
| Hubbard, ME; Berzins, M A positivity preserving finite element method for hyperbolic partial differential equations in: Armfield S, Morgan P & Srinivas K (editors) 2nd International Conference on Computational Fluid Dynamics, July 15 -19, 2002, pp.205-210. Springer-Verlag. 2003. | |
| Baines, MJ; Hubbard, ME; Jimack, PK Adaptive finite element solutions of time-dependent partial differential equations using moving mesh algorithms in: Rodrigues AE, de Oliveira P, Castro JA & Ferreira JA (editors) Modelling and Simulation in Chemical Engineering, Centro Internacional de Matematica 22. Centro Internacional de Matemática. 2003. | |
| Hubbard, ME Multidimensional upwind schemes for the shallow water equations in: Numerical Simulation of Hydrodynamic Systems, pp.131-154. Universidad de Zaragoza. 2003. | |
| Hubbard, ME; Nikiforakis, N A three-dimensional, adaptive, Godunov-type model for global atmospheric flows. Monthly Weather Review, vol. 131, pp.1848-1864. 2003. | DOI |
| Baines, MJ; Leary, SJ; Hubbard, ME Multidimensional least squares fluctuation distribution schemes with adaptive mesh movement for steady hyperbolic equations. SIAM Journal on Scientific Computing, vol. 23, pp.1485-1502. 2002. | DOI |
| Hubbard, ME Adaptive mesh refinement for three-dimensional off-line tracer advection over the sphere. International Journal for Numerical Methods in Fluids, vol. 40, pp.369-377. 2002. | DOI |
| Hubbard, ME; Dodd, N A 2D numerical model of wave run-up and overtopping. Coastal Engineering, vol. 47, pp.1-26. 2002. | DOI |
| Hubbard, M E Adaptive mesh refinement for three-dimensional off-line tracer advection over the sphere in: Baines, MJ (editors) Numerical Methods for Fluid Dynamics VII, pp.355-361. ICFD. 2001. | |
| Hubbard, ME; Garcia-Navarro, P Balancing source terms and flux gradients in finite volume schemes in: Toro, E F (editors) Godunov Methods: Theory and Applications, Oct. 18-22, 1999, pp.477-483. Kluwer Academic Publishers. 2001. | |
| Garcia-Navarro, P; Brufau, P; Hubbard, ME Upwinding in two dimensions in: Toro, E. F. (editors) Godunov Methods: Theory and Applications, pp.343-365. Kluwer Academic Publishers. 2001. | |
| Hubbard, ME On the accuracy of one dimensional models of steady converging/ diverging open channel flows. International Journal for Numerical Methods in Fluids, vol. 35, pp.785-808. 2001. | DOI |
| Hubbard, ME; Garcia-Navarro, P Flux difference splitting and the balancing of source terms and flux gradients. Journal of Computational Physics, vol. 165, pp.89-125. 2000. | |
| Hubbard, ME; Roe, PL Compact high resolution algorithms for time dependent advection on unstructured grids. International Journal for Numerical Methods in Fluids, vol. 33, pp.711-736. 2000. | |
| Baines, MJ; Leary, SJ; Hubbard, ME A finite volume method for steady hyperbolic equations incorporating mesh movement in: R.Vilsmeier, F.Benkhaldoun, D.Hanel (editors) Finite Volumes for Complex Applications -- Problems and Perspectives, pp.787-794. 1999. | |
| Hubbard, ME Multidimensional slope limiters for MUSCL-type finite volume schemes on unstructured grids. Journal of Computational Physics, vol. 155, pp.54-74. 1999. | |
| Sims, P; Hubbard, ME; Baines, MJ Multidimensional upwinding for the Euler equations in: International Workshop on New Models and Numerical Codes for Shock Wave Processes in Condensed Media, pp.781-786. 1999. | |
| Hubbard, ME; Roe, PL Multidimensional upwind fluctuation distribution schemes for time dependent problems in: M.J.Baines (editors) Numerical Methods for Fluid Dynamics VI, pp.363-369. 1998. | |
| Baines, MJ; Hubbard, ME Multidimensional upwinding with grid adaptation in: E.F.Toro, J.F.Clarke (editors) Numerical Methods for Wave Propagation, pp.33-54. 1998. | |
| Hubbard, ME; Baines, MJ Conservative multidimensional upwinding for the steady two dimensional shallow water equations. Journal of Computational Physics, vol. 138, pp.419-448. 1997. | |
| Garcia-Navarro, P; Hubbard, ME; Priestley, A Genuinely multidimensional upwinding for the 2d shallow water equations. Journal of Computational Physics, vol. 121, pp.79-93. 1995. | |
| Garcia-Navarro, P; Hubbard, ME; Priestley, A Two dimensional shallow water flows on unstructured grids in: W.H.Hui, Y.-K.Kwok, J.R.Chasnov (editors) 1st Asian CFD Conference, pp.335-340. 1995. | |
| Hubbard, ME; Baines, MJ Multidimensional upwinding and grid adaptation in: K.W.Morton, M.J.Baines (editors) Numerical Methods for Fluid Dynamics V, pp.431-437. 1995. | |
