Multidimensional Least Squares Fluctuation Distribution Schemes with Adaptive Mesh Movement for Steady Hyperbolic Equations. - M. J. Baines; Stephen J. Leary; Matthew E. Hubbard (SIAM J. Sci. Comput., 2002)

Non-oscillatory third order fluctuation splitting schemes for steady scalar conservation laws. - Matthew E. Hubbard (J. Comput. Phys., 2007)

Discontinuous fluctuation distribution. - Matthew E. Hubbard (J. Comput. Phys., 2008)

Unconditionally stable space-time discontinuous residual distribution for shallow-water flows. - D. Sármány; Matthew E. Hubbard; Mario Ricchiuto (J. Comput. Phys., 2013)

Nonlinear multigrid methods for second order differential operators with nonlinear diffusion coefficient. - Keeran J. Brabazon; Matthew E. Hubbard; Peter K. Jimack (Comput. Math. Appl., 2014)

A computational study of the effects of remodelled electrophysiology and mechanics on initiation of ventricular fibrillation in human heart failure. - Nathan Kirk; Alan Benson; Christopher E. Goodyer; Matthew E. Hubbard (CoRR, 2014)

A 2D extension of a Large Time Step explicit scheme (CFL > 1) for unsteady problems with wet/dry boundaries. - Mario Morales-Hernández; Matthew E. Hubbard; P. García-Navarro (J. Comput. Phys., 2014)

Runge-Kutta Residual Distribution Schemes. - Andrzej Warzynski; Matthew E. Hubbard; Mario Ricchiuto (J. Sci. Comput., 2015)

An optimally efficient technique for the solution of systems of nonlinear parabolic partial differential equations. - F. W. Yang; Christopher E. Goodyer; Matthew E. Hubbard; Peter K. Jimack (Adv. Eng. Softw., 2017)

An efficient numerical algorithm for a multiphase tumour model. - A. H. Alrehaili; Mark A. Walkley; Peter K. Jimack; Matthew E. Hubbard (Comput. Math. Appl., 2019)

Space-time residual distribution on moving meshes. - Matthew E. Hubbard; Mario Ricchiuto; D. Sármány (Comput. Math. Appl., 2020)

Quadrature-Free Polytopic Discontinuous Galerkin Methods for Transport Problems. - Thomas J. Radley; Paul Houston; Matthew E. Hubbard (CoRR, 2023)

Analysis of Iterative Methods for the Linear Boltzmann Transport Equation. - Paul Houston; Matthew E. Hubbard; Thomas J. Radley (CoRR, 2023)

Iterative solution methods for high-order/hp-DGFEM approximation of the linear Boltzmann transport equation. - Paul Houston; Matthew E. Hubbard; Thomas J. Radley (Comput. Math. Appl., 2024)

Isoparametric Virtual Element Methods. - Andrea Cangiani; Andreas Dedner; Matthew E. Hubbard; Harry Wells (CoRR, 2024)

A velocity-based moving mesh virtual element method. - Harry Wells; Matthew E. Hubbard; Andrea Cangiani (Comput. Math. Appl., 2024)

Efficient High-Order Space-Angle-Energy Polytopic Discontinuous Galerkin Finite Element Methods for Linear Boltzmann Transport. - Paul Houston; Matthew E. Hubbard; Thomas J. Radley; Oliver J. Sutton; Richard S. J. Widdowson (J. Sci. Comput., 2024)