Recent publications

Here is a list of my recent academic publications. For some reports, an electronic copy is available (formatted for A4 paper is available): click [Details] where appropriate.

Computing

G.Beckett An introduction to using Emacs.
Distributed under the GNU Free Document Licence, March 2000. [Details]

G.Beckett Practical ways to reduce overheads in MATLAB simulations.
Strathclyde Mathematics Research Report, 2001.

Numerical analysis

G.Beckett and J.A.Mackenzie Convergence analysis of finite difference approximations on equidistributed grids to a singularly perturbed boundary value problem.
Applied Numerical Mathematics Vol.35 N.2, 2000.

G.Beckett and J.A.Mackenzie On a uniformly accurate finite difference approximation of a singularly perturbed reaction-diffusion problem using grid equidistribution.
Journal of Computational and Applied Mathematics Vol.131 1-2, 2001: pp.381-405.

G.Beckett, J.A.Mackenzie, and M.L.Robertson A moving mesh finite element method for the solution of two-dimensional Stefan problems.
Journal of Computational Physics Vol.168 N.2, 2001: pp.500-518.

G.Beckett, J.A.Mackenzie, A.Ramage, and D.M.Sloan On the numerical solution of one-dimensional PDEs using adaptive methods based on equidistribution.
Journal of Computational Physics Vol.167, 2001: pp.372-392.

G.Beckett and J.A.Mackenzie Uniformly convergent high order finite element solutions of a singularly perturbed reaction-diffusion equation using mesh equidistribution.
Applied Numerical Mathematics Vol.39, N.1, 2001: pp 31-45.

G. Beckett, J.A.Mackenzie, A.Ramage, and D.M.Sloan Computational solution of two-dimensional unsteady PDEs using moving mesh methods.
Accepted for publication in Journal of Computational Physics.

G. Beckett, J.A. Mackenzie, and M.L. Robertson An r-Adaptive Finite Element Method for the Solution of the Two-Dimensional Phase-Field Equations.
Strathclyde Mathematics Research Report N. 32, 2001. (Submitted for publication).

Written by George Beckett