|
|
|
|
|
Hubbard, M E. Non-oscillatory third order fluctuation splitting schemes for steady scalar conservation laws. Journal of Computational Physics, vol. 222, pp. 740-768. 2007.
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.
Baines, M J; Hubbard, M E; Jimack, P K; Jones, A C. Scale-invariant moving finite elements for nonlinear partial differential equations in two dimensions. Applied Numerical Mathematics, vol. 56, pp. 230-252. 2006.
Hubbard, M E; Laird, A L. High order fluctuation splitting schemes for time-dependent advection on unstructured grids. Computers & Fluids, vol. 34, pp. 443--459. 2005.
Baines, M J; Hubbard, M E; Jimack, P K. 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.
Baines, M J; Hubbard, M E; Jimack, P K. 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.
Hubbard, M E. 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, M E; Leach, J A; Wei, J C. 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.
Baines, M J; Hubbard, M E; Jimack, P K. 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, Beijing. 2004.
Hubbard, M E; Nikiforakis, N. A three-dimensional, adaptive, Godunov-type model for global atmospheric flows. Monthly Weather Review, vol. 131, pp. 1848-1864. 2003.
Baines, M J; Hubbard, M E; Jimack, P K. 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. 2003.
Hubbard, M E; Berzins, M. A positivity preserving finite element method for hyperbolic partial differential equations in: Armfield S, Morgan P & Srinivas K (editors) Computational Fluid Dynamics 2002, pp. 205-210 Springer. 2003.
Hubbard, M E. Multidimensional upwind schemes for the shallow water equations in: Numerical Simulation of Hydrodynamic Systems, pp. 131-154 Universidad de Zaragoza. 2003.
Baines, M J; Leary, SJ; Hubbard, M E. 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.
Hubbard, M E. 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.
Hubbard, M E; Dodd, N. A 2D numerical model of wave run-up and overtopping. Coastal Engineering, vol. 47, pp. 1-26. 2002.
Hubbard, M E. 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.
Hubbard, M E; Garcia-Navarro, P. Balancing source terms and flux gradients in finite volume schemes in: Toro, E F (editors) Godunov Methods: Theory and Applications, pp. 477-483 Kluwer Academic Publishers. 2001.
Garcia-Navarro, P; Brufau, P; Hubbard, M E. Upwinding in two dimensions in: Toro, E F (editors) Godunov Methods: Theory and Applications, pp. 343-365 Kluwer Academic Publishers. 2001.
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, M E; Roe, P L. Compact high-resolution algorithms for time-dependent advection on unstructured grids. International Journal for Numerical Methods in Fluids, vol. 33, pp. 711-736. 2000.
Hubbard, M E; 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, M E. Multidimensional slope limiters for MUSCL-type finite volume schemes on unstructured grids. Journal of Computational Physics, vol. 155, pp. 54-74. 1999.
Baines, M J; Leary, SJ; Hubbard, M E. A finite volume method for steady hyperbolic equations incorporating mesh movement in: Vilsmeier, R, Benkhaldoun, F, Hanel, D (editors) Finite Volumes for Complex Applications - Problems and Perspectives, pp. 787-794. 1999.
Sims, P; Hubbard, M E; Baines, M J. 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, M E; Roe, P L. Multidimensional upwind fluctuation distribution schemes for time dependent problems in: Baines, M J (editors) Numerical Methods for Fluid Dynamics VI, pp. 363-369 ICFD. 1998.
Baines, M J; Hubbard, M E. Multidimensional upwinding with grid adaptation in: Toro, EF and Clarke, JF (editors) Numerical Methods for Wave Propagation, pp. 35-54 Kluwer Academic Publishers. 1998.
Hubbard, M E; Baines, M J. 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, M E; 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, M E; Priestley, A; Baines, M J. Two dimensional shallow water flows on unstructured grids in: Proceedings of 1st Asian CFD Conference, pp. 335-340. 1995.
Hubbard, M E; Baines, M J. Multidimensional upwinding and grid adaptation in: Morton, K W & Baines, M J (editors) Numerical Methods for Fluid Dynamics V, pp. 431-437 Oxford University Press. 1995.