Selected academic publications


Software


Elman, H.C, Ramage, A., Silvester, D.J.

IFISS: Incompressible Flow and Iterative Solver Software, MATLAB/Octave open-source software package, version 3.6, 2019.


Patent


Mottram, N.J., Ramage, A., Kelly, G., Davidson, A.

Bistable liquid crystal device, WO 2006059128 A1, 2006.


Publications in refereed journals


Ramage, A., Ruiz, D., Sartenaer, A., Tannier, C.

Using Partial Spectral Information for Block Diagonal Preconditioning of Saddle-Point Systems , Computational Optimization and Applications, 78(2), 353-375, 2021.

MacDonald, C.S., Mackenzie, J.A. and Ramage, A.

A Moving Mesh Method for Modelling Defects in Nematic Liquid Crystals, Journal of Computational Physics: X, available online 17 June 2020, 100065.

Brown, K.L, Gejadze, I. and Ramage, A.

A Multilevel Approach for Computing the Limited-Memory Hessian and its Inverse in Variational Data Assimilation, SIAM Journal on Scientific Computing Vol. 38, No. 5, pp. A2934-A2963, 2016.

Ramage, A. and Sonnet, A.M.

Computational Fluid Dynamics for Nematic Liquid Crystals, BIT Numerical Mathematics, 56(2), 573-586, 2016.

Heryudonu, A., Larsson, E., Ramage A. and von Sydow, L.

Preconditioning for Radial Basis Function Partition of Unity Methods , Journal of Scientific Computing, 67(3), 1089-1109, 2016.

MacDonald, C.S., Mackenzie, J.A., Ramage A. and Newton, C.J.P.

Efficient moving mesh methods for Q-tensor models of nematic liquid crystals, SIAM Journal on Scientific Computing, Vol. 37, No. 2, pp. B215-B238, 2015.

Ramage, A. and Gartland Jnr, E.C.

A Renormalized Newton Method for Liquid Crystal Director Modeling, SIAM Journal on Numerical Analysis Vol. 53, No. 1, pp. 251-278, 2015.

Elman, H.C., Ramage, A. and Silvester, D.J.

IFISS: A Computational Laboratory for Investigating Incompressible Flow Problems, SIAM Review Vol. 56, No. 2, pp. 261-273, 2014.

Ramage, A. and Gartland Jnr, E.C.

A preconditioned nullspace method for liquid crystal director modelling, SIAM Journal on Scientific Computing Vol. 35, No. 1, pp. B226-B247, 2013.

MacDonald, C.S., Mackenzie, J.A., Ramage A. and Newton, C.J.P.

Robust adaptive computation of a one-dimensional Q-tensor model of nematic liquid crystals, Computers and Mathematics with Applications, 64(11), pp. 3627-3640, 2012.

Ramage, A. and von Sydow, L.

A multigrid preconditioner for an adaptive Black-Scholes solver, BIT Numerical Mathematics, 51 (1), pp. 217 - 233, 2011.

Ramage, A. and Newton, CJP

Adaptive Grid Methods for Q-Tensor Theory of Liquid Crystals: A One-Dimensional Feasibility Study, Molecular Crystals and Liquid Crystals, 480 (1), pp. 160 - 181, 2008.

Ramage, A. and Newton, CJP

Adaptive Solution of a One-dimensional Order Reconstruction Problem in Q-Tensor Theory of Liquid Crystals, Liquid Crystals, 34 (4), pp. 479 - 487, 2007.

Elman, H.C., Ramage, A. and Silvester, D.J.

Algorithm 886: IFISS, A Matlab Toolbox for Modelling Incompressible Flow, ACM Transactions on Mathematical Software 33 (2), article 14, 2007.

Augarde, C.E., Ramage, A. and Staudacher, J.

Element-based preconditioners for elasto-plastic problems in geotechnical engineering, International Journal for Numerical Methods in Engineering 71 (7), pp. 757-882, 2007.

Ramage, A. and Elman, H.C.

Some Observations on Multigrid Convergence for Convection-Diffusion Equations, Computers and Visualization in Science 10 (1), pp. 43-56, 2007.

Augarde, C.E., Ramage, A. and Staudacher, J.

On element-based preconditioners for linear elasticity problems, Computers and Structures 84, pp. 2306-2315, 2006.

Elman, H.C. and Ramage, A.

Fourier Analysis of Multigrid for a Model Two-Dimensional Convection-Diffusion Equation, BIT Numerical Mathematics 46 (2), pp. 283-299, 2006.

Kelly, G., Mottram, N.J. and Ramage, A.

Electric Field Effects on Nematic Wetting Layers, Molecular Crystals and Liquid Crystals 438, pp. 1835-1846, 2005.

Lötstedt, P., Ramage, A., von Sydow, L. and Söderberg, S.

Preconditioned Implicit Solution of Linear Hyperbolic Equations with Adaptivity, Journal of Computational and Applied Mathematics 170, pp 269-289, 2004.

Elman, H.C. and Ramage, A.

A Characterisation of Oscillations in the Discrete Two-Dimensional Convection-Diffusion Equation, Mathematics of Computation 72, pp 263-288, 2003.

Beckett, G., Mackenzie, J.A., Ramage, A. and Sloan, D.M.

Computational Solution of Two-Dimensional Unsteady PDEs using Moving Mesh Methods, Journal of Computational Physics 182, pp 478-495, 2002.

Ramage, A. and Mottram, N.J.

In-Layer Defects in Smectic C Materials, Ferroelectrics 278, pp 57-65, 2002.

Lötstedt, P., Söderberg, S., Ramage, A. and Hemmingsson-Frändén, L.

Implicit Solution of Hyperbolic Equations with Space-Time Adaptivity, BIT Numerical Mathematics 42, pp 134-158, 2002.

Elman, H.C. and Ramage, A.

An Analysis of Smoothing Effects of Upwinding Strategies for the Convection-Diffusion Equation, SIAM Journal on Numerical Analysis 40, pp 254-281, 2002.

Beckett, G., Mackenzie, J.A., Ramage, A. and Sloan, D.M.

On the Numerical Solution of One-Dimensional PDEs using Adaptive Methods based on Equidistribution, Journal of Computational Physics 167, pp 372-392, 2001.

Ramage, A.

A Multigrid Preconditioner for Stabilised Discretisations of Advection-Diffusion Problems, Journal of Computational and Applied Mathematics 101, pp 187-203, 1999.

Fischer, B., Ramage, A., Silvester, D.J. & Wathen, A.J. On Parameter Choice and Iterative Convergence for Stabilised Discretisations of Advection-Diffusion Problems, Computer Methods in Applied Mechanics and Engineering 179, pp 185-202, 1999.

Fischer, B., Ramage, A., Silvester, D.J. & Wathen, A.J.

Minimum Residual Methods for Augmented Systems, BIT Numerical Mathematics 38, pp 527-543, 1998.

Ramage, A.

A Structured Matrix Problem in Dynamical Systems, Applied Numerical Mathematics 21, pp 291-301, 1996.

Ramage, A. & Wathen, A.J.

On Preconditioning for Finite Element Equations on Irregular Grids, SIAM J. Matrix Anal. Appl. 15, pp 909-921, 1994.

Ramage, A. & Wathen, A.J.

Iterative Solution Techniques for the Stokes and Navier-Stokes Equations, International Jopurnal of Numerical Methodss in Fluids 19, pp 67-83, 1994.


Refereed Conference Proceedings


Mackenzie, J.A., Ramage, A., Shahid, T. and Forbes, A.B.

Uncertainty Quantification and Global Sensitivity Analysis of a Pollutant Dispersion Problem , in Pavese, F., Bosnjakovic, A., Eichstadt, S., Forbes, A.B. and Alves Sousa, J.A. (Eds), Advanced Mathematical and Computational Tools in Metrology and Testing XIII, World Scientific, 2025.

Ramage, A., Smith, P.G., Augarde, C.E., Sonnet, A.M. and Matthews, C.

The effects of plasticity on the convergence of iterative solvers, in Osman, A.S., Coombs, W.M. and Koziara, T. (Eds), Proceedings of the International Conference on Computational Mechanics, Durham, UK, 25-27 March, 2013.

Zhang, Y., Matthews, C., Ramage, A. and Augarde, C.E.

Fast iterative solvers for geomechanics in a commercial FE code, in Sansour C. (Ed.) Proceedings of 17th UK Conference on Computational Mechanics in Engineering, Nottingham University, 2009.

Augarde, C.E., Crouch, R.S., Li, T. and Ramage, A.

The effects of geotechnical material properties on the convergence of iterative solvers , Proceedings of the 12th International Conference of IACMAG, 1.-6.10.2008, Goa, India.

Augarde, C.E., Ramage, A. and Staudacher, J.

On preconditioning strategies for geotechnics , Proceedings of the 11th International Conference of IACMAG, 19.-24.06.2005, Turin, 3-11; Patron Editore, Bologna; ISBN 88-555-2812-1, 2005.

Ramage, A., Fischer, B., Silvester, D.J. & Wathen, A.J. Minimum Residual Methods for the Navier-Stokes Equations: Indefiniteness vs Asymmetry, Numerical Methods for Fluid Dynamics V, (K.W.Morton & M.J.Baines, Eds), OUP, pp 541-547, 1995.

Ramage, A.

Iterative Solution of a Structured Matrix Problem in Dynamical Systems, Applied Linear Algebra, SIAM, pp 475-479, 1994.

Ramage, A. & Wathen, A.J.

Iterative Solution Techniques for the Lagrange-Galerkin Method, Numerical Methods for Fluid Dynamics IV, (M.J. Baines & K.W. Morton, Eds), OUP, pp 401-407, 1993.

Ramage, A. & Wathen, A.J.

Iterative Solution Techniques for the Navier-Stokes Equations, Finite Elements in Fluids, (eds Morgan et al), CIMNE/Pineridge, pp 278-286, 1993.

Ramage, A. & Wathen, A.J.

Iterative Solution Techniques for Finite Element Discretisations of Fluid Flow Problems, Proc. of the Copper Mountain Conference on Iterative Methods, 1992.

Ramage, A.

Eigenvalue Clustering and Conjugate Gradient Convergence for Elliptic Partial Differential Equations, Iterative Methods in Linear Algebra, (R.Beauwens & P.de Groen, Eds), Elsevier Science, pp 593-601, 1992.


Thesis


Ramage, A.

Preconditioned Conjugate Gradient Methods for Galerkin Finite Element Equations, Ph.D. Thesis, University of Bristol, 1990.


Other publications


Kelly, G., Mottram, N.J. and Ramage, A.

The Effect of Elastic Anisotropy on Nematic Disclination Lines, British Liquid Crystal Society Newsletter, October 2002.

Ramage, A.

A Note On Parameter Choice and Iterative Convergence for Stabilised Discretisations of Advection-Diffusion Problems In Three Dimensions, Strathclyde Mathematics Research Report No. 32, 1998.



I have also published articles in

SIAM News, UK Nonlinear News, and the ECMI newsletter.

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