Displaying 1 - 20 of 29 publications.
- Chemotaxis: a feedback-based computational model robustly predicts multiple aspects of real cell behaviour
- M.P. Neilson, D. Veltman, P. J. Van Haastert , S.D. Webb, J.A. Mackenzie and R.H. Insall
PLoS Biol., 2011, 9(5), e1000618 - An Unconditionally Stable Second-Order Accurate ALE-FEM Scheme for Two-Dimensional Convection-Diffusion Probelms
- J.A. Mackenzie and W.R. Mekwi
IMA J. Numer. Anal., 2011, doi:10.1093/imanum/drr021 - Modelling cell movement and chemotaxis using pseudopod-based feedback
- Neilson MP, Mackenzie JA, Webb SD and Insall RH
SIAM J. Sci. Comput., 2011, 33, 1035-1057 - Analysis of stability and convergence of finite-difference methods for a reaction-diffusion problem on a one-dimensional growing domain
- Mackenzie JA and Madzvamuse A
IMA J. Numer. Anal., 2011, 31(1) - Use of the parameterised finite element method to robustly and efficiently evolve the edge of a moving cell
- Neilson MP, Mackenzie JA, Webb SD and Insall RH
Integrative Biology, 2010, 2, 687-695 - Modelling cell movement and chemotaxis using pseudopod-based feedback
- Neilson MP, Mackenzie JA, Webb SD and Insall RH
University of Strathclyde Mathematics and Statistics Research Report (In print).
Download as: pdf - An analysis of stability and convergence of a finite-difference discretization of a model parabolic PDE in 1D using a moving mesh
- MacKenzie JA and Mekwi WR
IMA J. Numer. Anal., 2007, 27, 507-528 - A Discontinuous Galerkin Moving Mesh Method for Hamilton-Jacobi Equations
- Mackenzie JA and Nicola A
SIAM J. Sci. Comput., 2007, 29, 2258--2282 - On the Use of Moving Mesh Methods to Solve PDEs
- Mackenzie JA and Mekwi WR
In Adaptive Computations:Theory and Algorithms, Science Press Beijing, 2007, Mathematics Monograph Series 6, 243-278 - An r-adaptive finite element method for the solution of the two-dimensional phase-field equations
- Beckett G, Mackenzie JA and Robertson ML
Commun. Comput. Phys., 2006, 1, No. 5, 805-826 - Finite element moving mesh analysis of phase change problems with natural convection
- Tenchev RT, Mackenzie JA, Scanlon TJ and Stickland MT
Int J. Heat Fluid Flow, 2005, 26, 597-612 - On the solution of connective heat transfer problems using an adaptive moving mesh method
- Mackenzie JA
2004 - An adaptive moving mesh method with local mesh refinement for singularly perturbed PDEs
- Mackenzie JA
2004 - A moving mesh method for the solution of the one-dimensional phase-field equations
- Mackenzie JA and Robertson ML
J. Comput. Phys., 2002, 181, 526-544 - Computational solution of two-dimensional unsteady PDEs using moving mesh methods
- Beckett G, Mackenzie JA, Ramage A and Sloan DM
J. Comput. Phys., 2002, 182, 478-495 - A moving mesh method for one-dimensional hyperbolic conservation laws
- Stockie JM, Mackenzie JA and Russell RD
SIAM J. Sci. Comput., 2001, 22(5), 1791-1813 - Uniformly convergent high order finite element solutions of a singularly perturbed reaction-diffusion equation using mesh equidistribution
- Beckett G and Mackenzie JA
Appl. Numer. Math., 2001, 39(1), 31-45 - On a uniformly accurate finite difference approximation of a singularly perturbed reaction-diffusion problem using grid equidistribution
- Beckett G and Mackenzie JA
J. Comput. Appl. Math., 2001, 131(1-2), 381-405 - A moving mesh finite element method for the solution of two-dimensional Stefan problems
- Beckett G, Mackenzie JA and Robertston ML
J. Comput. Phys., 2001, 168(2), 500-518 - On the numerical solution of one-dimensional PDEs using adaptive methods based on equidistribution
- Beckett G, Mackenzie JA, Ramage A and Sloan DM
J. Comput. Phys., 2001, 167(2), 372-392