Matthew Hubbard

Contact

• workRoom C59 Mathematical Sciences
  University Park
  Nottingham
  NG7 2RD
  UK
• work0115 9514960
• Matthew.Hubbard@nottingham.ac.uk
• https://www.maths.nottingham.ac.uk/personal/pmzmeh

Recent Publications

• COLLIS, J, BROWN, DL, HUBBARD, ME and O'DEA, RD, 2017. Effective Equations Governing an Active Poroelastic Medium Proceedings of the Royal Society A. 473, 20160755
• CHANDLER, JH, HEAD, DA, HUBBARD, ME, NEVILLE, A, JAYNE, DG and CULMER, PR, 2017. The impact of electrode resistance on the biogalvanic characterisation technique PHYSIOLOGICAL MEASUREMENT. 38(2), 101-115
• COLLIS J, HUBBARD ME and O'DEA RD, 2017. A multiscale analysis of drug transport and response for a multiphase tumor model European Journal of Applied Mathematics. 28(3), 499-534
• COLLIS J, CONNOR A, PACZKOWSKI M, KANNAN P, PITT-FRANCIS J, BYRNE HM and HUBBARD ME, 2017. Bayesian calibration, validation and uncertainty quantification for predictive modelling of tumour growth: A tutorial Bulletin of Mathematical Biology. 79(4), 939-974

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• COLLIS, J, BROWN, DL, HUBBARD, ME and O'DEA, RD, 2017. Effective Equations Governing an Active Poroelastic Medium Proceedings of the Royal Society A. 473, 20160755
• CHANDLER, JH, HEAD, DA, HUBBARD, ME, NEVILLE, A, JAYNE, DG and CULMER, PR, 2017. The impact of electrode resistance on the biogalvanic characterisation technique PHYSIOLOGICAL MEASUREMENT. 38(2), 101-115
• COLLIS J, HUBBARD ME and O'DEA RD, 2017. A multiscale analysis of drug transport and response for a multiphase tumor model European Journal of Applied Mathematics. 28(3), 499-534
• COLLIS J, CONNOR A, PACZKOWSKI M, KANNAN P, PITT-FRANCIS J, BYRNE HM and HUBBARD ME, 2017. Bayesian calibration, validation and uncertainty quantification for predictive modelling of tumour growth: A tutorial Bulletin of Mathematical Biology. 79(4), 939-974
• HUBBARD, ME, JOVE, M, LOADMAN, PM, PHILLIPS, RM, TWELVES, CJ and SMYE, SW, 2017. Optimising drug delivery in a tumour cord model: a computational simulation Royal Society Open Science. 4(5), 170014
• SIVAPURATHARASU, M, HIBBERD, S, HUBBARD, ME and POWER, H, 2016. Inertial effects on thin-film wave structures with imposed surface shear on an inclined plane PHYSICA D-NONLINEAR PHENOMENA. 325, 86-97
• YANG, FW, GOODYER, CE, HUBBARD, ME and JIMACK, PK, 2016. An optimally efficient technique for the solution of systems of nonlinear parabolic partial differential equations ADVANCES IN ENGINEERING SOFTWARE. 103, 65-84
• COLLIS, J, HUBBARD, ME and O'DEA, RD, 2016. The discretization of a multiscale multiphase model of drug transport and tumour response COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. 309, 554-578
• MORALES-HERNANDEZ, M, HUBBARD, ME and GARCIA-NAVARRO, P, 2014. A 2D extension of a Large Time Step explicit scheme (CFL > 1) for unsteady problems with wet/dry boundaries JOURNAL OF COMPUTATIONAL PHYSICS. 263, 303-327
• GROH, CM, HUBBARD, ME, JONES, PF, LOADMAN, PM, PERIASAMY, N, SLEEMAN, BD, SMYE, SW, TWELVES, CJ and PHILLIPS, RM, 2014. Mathematical and computational models of drug transport in tumours JOURNAL OF THE ROYAL SOCIETY INTERFACE. 11(94), 20131173
• WARZYNSKI, A, HUBBARD, ME and RICCHIUTO, M, 2014. Runge-Kutta residual distribution schemes JOURNAL OF SCIENTIFIC COMPUTING. 62(3), 772-802
• BRABAZON, KJ, HUBBARD, ME and JIMACK, PK, 2014. Nonlinear multigrid methods for second order differential operators with nonlinear diffusion coefficient COMPUTERS & MATHEMATICS WITH APPLICATIONS. 68(12A), 1619-1634
• HUBBARD, ME and BYRNE, HM, 2013. Multiphase modelling of vascular tumour growth in two spatial dimensions JOURNAL OF THEORETICAL BIOLOGY. 316, 70-89
• SARMANY, D and HUBBARD, ME, 2013. Upwind residual distribution for shallow-water ocean modelling OCEAN MODELLING. 64, 1-11
• SARMANY, D, HUBBARD, ME and RICCHIUTO, M, 2013. Unconditionally stable space-time discontinuous residual distribution for shallow-water flows JOURNAL OF COMPUTATIONAL PHYSICS. 253, 86-113
• WARZYNSKI, A, HUBBARD, ME and RICCHIUTO, M, 2013. Discontinuous residual distribution schemes for time-dependent problems RECENT ADVANCES IN SCIENTIFIC COMPUTING AND APPLICATIONS. 586, 375-382
• HUBBARD, ME and RICCHIUTO, M, 2011. Discontinuous upwind residual distribution: A route to unconditional positivity and high order accuracy COMPUTERS & FLUIDS. 46(1), 263-269
• MARLOW, R, HUBBARD, ME and JIMACK, PK, 2011. Moving mesh methods for solving parabolic partial differential equations COMPUTERS & FLUIDS. 46(1), 353-361
• BAINES, MJ, HUBBARD, ME and JIMACK, PK, 2011. Velocity-Based Moving Mesh Methods for Nonlinear Partial Differential Equations COMMUNICATIONS IN COMPUTATIONAL PHYSICS. 10(3), 509-576
• KIRK, NR, BENSON, AP, HUBBARD, ME and GOODYER, CE, 2011. An Efficient Coupled Electromechanical Solver for Studying Human Re-entrant Arrhythmias 2011 COMPUTING IN CARDIOLOGY. 17-20
• BAINES, MJ, HUBBARD, ME, JIMACK, PK and MAHMOOD, R, 2009. A Moving-Mesh Finite Element Method and its Application to the Numerical Solution of Phase-Change Problems COMMUNICATIONS IN COMPUTATIONAL PHYSICS. 6(3), 595-624
• HUBBARD, ME, BAINES, MJ and JIMACK, PK, 2009. Consistent Dirichlet boundary conditions for numerical solution of moving boundary problems APPLIED NUMERICAL MATHEMATICS. 59(6), 1337-1353
• HUBBARD, ME, JONES, PM and SLEEMAN, BD, 2009. The foundations of a unified approach to mathematical modelling of angiogenesis INTERNATIONAL JOURNAL OF ADVANCES IN ENGINEERING SCIENCES AND APPLIED MATHEMATICS. 1, 43-52
• HUBBARD, ME, 2008. A framework for discontinuous fluctuation distribution INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS. 56(8), 1305-1311
• HUBBARD, ME, 2008. Discontinuous fluctuation distribution JOURNAL OF COMPUTATIONAL PHYSICS. 227(24), 10125-10147
• HUBBARD, ME, 2007. Non-oscillatory third order fluctuation splitting schemes for steady scalar conservation laws JOURNAL OF COMPUTATIONAL PHYSICS. 222(2), 740-768
• BAINES, MJ, HUBBARD, ME, JIMACK, PK and JONES, AC, 2006. Scale-invariant moving finite elements for nonlinear partial differential equations in two dimensions APPLIED NUMERICAL MATHEMATICS. 56(2), 230-252
• HUBBARD, ME and LAIRD, AL, 2005. Achieving high-order fluctuation splitting schemes by extending the stencil COMPUTERS & FLUIDS. 34(4-5), 443-459
• BAINES, MJ, HUBBARD, ME and JIMACK, PK, 2005. A moving mesh finite element algorithm for fluid flow problems with moving boundaries INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS. 47(10-11), 1077-1083
• BAINES, MJ, HUBBARD, ME and JIMACK, PK, 2005. A moving mesh finite element algorithm for the adaptive solution of time-dependent partial differential equations with moving boundaries APPLIED NUMERICAL MATHEMATICS. 54(3-4), 450-469
• HUBBARD, ME, LEACH, JA and WEI, JC, 2005. Pattern formation in a 2D simple chemical system with general orders of autocatalysis and decay IMA JOURNAL OF APPLIED MATHEMATICS. 70(6), 723-747
• HUBBARD, ME and NIKIFORAKIS, N, 2003. A three-dimensional, adaptive, Godunov-type model for global atmospheric flows MONTHLY WEATHER REVIEW. 131(8), 1848-1864
• HUBBARD, M and BERZINS, M, 2003. A positivity preserving finite element method for hyperbolic partial differential equations COMPUTATIONAL FLUID DYNAMICS 2002. 205-210
• BAINES, MJ, LEARY, SJ and HUBBARD, ME, 2002. Multidimensional least squares fluctuation distribution schemes with adaptive mesh movement for steady hyperbolic equations SIAM JOURNAL ON SCIENTIFIC COMPUTING. 23(5), 1485-1502
• HUBBARD, ME, 2002. Adaptive mesh refinement for three-dimensional off-line tracer advection over the sphere INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS. 40(3-4), 369-377
• HUBBARD, ME and DODD, N, 2002. A 2D numerical model of wave run-up and overtopping COASTAL ENGINEERING. 47(1), 1-26
• HUBBARD, ME, 2001. On the accuracy of one-dimensional models of steady converging/diverging open channel flows INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS. 35(7), 785-808
• HUBBARD, ME and GARCIA-NAVARRO, P, 2001. Balancing source terms and flux gradients in finite volume schemes GODUNOV METHODS: THEORY AND APPLICATIONS. 477-483
• HUBBARD, ME and ROE, PL, 2000. Compact high-resolution algorithms for time-dependent advection on unstructured grids INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS. 33(5), 711-736
• HUBBARD, ME and GARCIA-NAVARRO, P, 2000. Flux difference splitting and the balancing of source terms and flux gradients JOURNAL OF COMPUTATIONAL PHYSICS. 165(1), 89-125
• HUBBARD, ME, 1999. Multidimensional slope limiters for MUSCL-type finite volume schemes on unstructured grids JOURNAL OF COMPUTATIONAL PHYSICS. 155(1), 54-74
• BAINES, MJ and HUBBARD, ME, 1998. Multidimensional upwinding with grid adaptation NUMERICAL METHODS FOR WAVE PROPAGATION. 47, 33-54
• HUBBARD, ME and BAINES, MJ, 1997. Conservative multidimensional upwinding for the steady two-dimensional shallow water equations JOURNAL OF COMPUTATIONAL PHYSICS. 138(2), 419-448
• GARCIA-NAVARRO, P, HUBBARD, ME and PRIESTLEY, A, 1995. Genuinely multidimensional upwinding for the 2D shallow-water equations JOURNAL OF COMPUTATIONAL PHYSICS. 121(1), 79-93