Academic Publications


 * 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 , Strathclyde Mathematics Research Report No. 16, 2011.

 * Ramage, A. and von Sydow, L.

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

 * 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.

 * 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.

 * Sonnet, A.M. and Ramage, A.

Computational Fluid Dynamics for Nematic Liquid Crystals, Strathclyde Mathematics Research Report No. 28, 2007.

 * 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 46 (2), pp. 283-299, 2006.

 * 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.

 * 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.

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

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

 * 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 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.

 * 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.

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

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

 * Ramage, A.

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

 * 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. & 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, Int. J. Num. Meths in Fluids 19, pp 67-83, 1994.

 * 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.

 * Ramage, A.

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


Other Publications

I have also published articles in

 * SIAM News

 * UK Nonlinear News

 * ECMI newsletter


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a.ramage@strath.ac.uk