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John Mackenzie
John Mackenzie
Professor of Mathematics, University of Strathclyde
Verified email at maths.strath.ac.uk - Homepage
Title
Cited by
Cited by
Year
Chemotaxis: a feedback-based computational model robustly predicts multiple aspects of real cell behaviour
MP Neilson, DM Veltman, PJM van Haastert, SD Webb, JA Mackenzie, ...
PLoS biology 9 (5), e1000618, 2011
1962011
A moving mesh finite element method for the solution of two-dimensional Stefan problems
G Beckett, JA Mackenzie, ML Robertson
Journal of Computational Physics 168 (2), 500-518, 2001
1692001
Convergence analysis of finite difference approximations on equidistributed grids to a singularly perturbed boundary value problem
G Beckett, JA Mackenzie
Applied Numerical Mathematics 35 (2), 87-109, 2000
1572000
A moving mesh method for one-dimensional hyperbolic conservation laws
JM Stockie, JA Mackenzie, RD Russell
SIAM Journal on Scientific Computing 22 (5), 1791-1813, 2001
1402001
A posteriori error analysis for numerical approximations of Friedrichs systems
P Houston, JA Mackenzie, E Süli, G Warnecke
Numerische Mathematik 82 (3), 433-470, 1999
1201999
Cell vertex algorithms for the compressible Navier-Stokes equations
PI Crumpton, JA Mackenzie, KW Morton
Journal of Computational Physics 109 (1), 1-15, 1993
1171993
On the numerical solution of one-dimensional PDEs using adaptive methods based on equidistribution
G Beckett, JA Mackenzie, A Ramage, DM Sloan
Journal of Computational Physics 167 (2), 372-392, 2001
1112001
Modeling cell movement and chemotaxis using pseudopod-based feedback
MP Neilson, JA Mackenzie, SD Webb, RH Insall
SIAM Journal on Scientific Computing 33 (3), 1035-1057, 2011
1092011
On a uniformly accurate finite difference approximation of a singularly perturbed reaction–diffusion problem using grid equidistribution
G Beckett, JA Mackenzie
Journal of computational and applied mathematics 131 (1-2), 381-405, 2001
1002001
The numerical solution of one-dimensional phase change problems using an adaptive moving mesh method
JA Mackenzie, ML Robertson
Journal of computational Physics 161 (2), 537-557, 2000
942000
A moving mesh method for the solution of the one-dimensional phase-field equations
JA Mackenzie, ML Robertson
Journal of Computational Physics 181 (2), 526-544, 2002
902002
HT Pentill a, D. Seweryniak, WB Walters
RJ Irvine, CN Davids, PJ Woods, DJ Blumenthal, LT Brown, LF Conticchio, ...
Phys. Rev. C 55, R1621, 1997
891997
Uniform convergence analysis of an upwind finite-difference approximation of a convection-diffusion boundary value problem on an adaptive grid
J Mackenzie
IMA journal of numerical analysis 19 (2), 233-249, 1999
871999
Computational solution of two-dimensional unsteady PDEs using moving mesh methods
G Beckett, JA Mackenzie, A Ramage, DM Sloan
Journal of Computational Physics 182 (2), 478-495, 2002
672002
Finite volume solutions of convection-diffusion test problems
JA Mackenzie, KW Morton
mathematics of computation 60 (201), 189-220, 1993
661993
A coupled bulk-surface model for cell polarisation
D Cusseddu, L Edelstein-Keshet, JA Mackenzie, S Portet, A Madzvamuse
Journal of theoretical biology 481, 119-135, 2019
642019
A computational method for the coupled solution of reaction–diffusion equations on evolving domains and manifolds: Application to a model of cell migration and chemotaxis
G MacDonald, JA Mackenzie, M Nolan, RH Insall
Journal of computational physics 309, 207-226, 2016
602016
Finite element moving mesh analysis of phase change problems with natural convection
RT Tenchev, JA Mackenzie, TJ Scanlon, MT Stickland
CHT-04-Advances in Computational Heat Transfer III. Proceedings of the Third …, 2004
532004
An analysis of stability and convergence of a finite-difference discretization of a model parabolic PDE in 1D using a moving mesh
JA Mackenzie, WR Mekwi
IMA journal of Numerical analysis 27 (3), 507-528, 2007
332007
An r-adaptive finite element method for the solution of the two-dimensional phase-field equations
G Beckett, JA Mackenzie, ML Robertson
Commun. Comput. Phys 1 (5), 805-826, 2006
332006
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