John MacKenzie

2021

A conservative finite element ALE scheme for mass-conservative reaction-diffusion equations on evolving two-dimensional domains

MacKenzie, J., Rowlatt, C. & Insall, R., 19 Jan 2021, In: SIAM Journal on Scientific Computing. 43, 1, p. B132-B166 35 p.

Research output: Contribution to journal › Article › peer-review

Open Access

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6 Citations (Scopus)

31 Downloads (Pure)

2020

A moving mesh method for modelling defects in nematic liquid crystals

MacDonald, C. S., MacKenzie, J. A. & Ramage, A., 30 Sept 2020, In: Journal of Computational Physics: X. 8, 18 p., 100065.

Research output: Contribution to journal › Article › peer-review

Open Access

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4 Citations (Scopus)

46 Downloads (Pure)

Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2018

Barrenechea, G. R. (ed.) & MacKenzie, J. (ed.), 31 Aug 2020, Switzerland: Springer Nature. 254 p. (Lecture Notes in Computational Science and Engineering; vol. 135)

Research output: Book/Report › Book

An hr-adaptive method for the cubic nonlinear Schrödinger equation

MacKenzie, J. A. & Mekwi, W. R., 15 Jan 2020, In: Journal of Computational and Applied Mathematics. 364, 20 p., 112320.

Research output: Contribution to journal › Article › peer-review

Open Access

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6 Citations (Scopus)

29 Downloads (Pure)

2019

A coupled bulk-surface model for cell polarisation

Cusseddu, D., Edelstein-Keshet, L., MacKenzie, J. A., Portet, S. & Madzvamuse, A., 21 Nov 2019, In: Journal of Theoretical Biology. 481, p. 119-135 17 p.

Research output: Contribution to journal › Article › peer-review

Open Access

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42 Citations (Scopus)

44 Downloads (Pure)

Optimal estimation of drift and diffusion coefficients in the presence of static localization error

Devlin, J., Husmeier, D. & MacKenzie, J. A., 23 Aug 2019, In: Physical Review E. 100, 2, 14 p., 022134.

Research output: Contribution to journal › Article › peer-review

Open Access

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3 Citations (Scopus)

43 Downloads (Pure)

An adaptive moving mesh method for forced curve shortening flow

Mackenzie, J. A., Nolan, M., Rowlatt, C. F. & Insall, R. H., 18 Apr 2019, In: SIAM Journal on Scientific Computing. 41, 2, p. A1170–A1200 31 p.

Research output: Contribution to journal › Article › peer-review

Open Access

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11 Citations (Scopus)

51 Downloads (Pure)

2017

Kinetics of reduction of a Resazurin-based photocatalytic activity ink

MacKenzie, J., MacDonald, G., Mills, A. & Wells, N., 1 Mar 2017, In: Catalysis Today. 281, 1, p. 14-20 7 p.

Research output: Contribution to journal › Article › peer-review

Open Access

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17 Citations (Scopus)

163 Downloads (Pure)

2016

Local modulation of chemoattractant concentrations by single cells: dissection using a bulk-surface computational model

Mackenzie, J. A., Nolan, M. & Insall, R. H., 19 Aug 2016, In: Interface Focus. 6, 10 p., 20160036.

Research output: Contribution to journal › Article › peer-review

Open Access

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14 Citations (Scopus)

111 Downloads (Pure)

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

MacDonald, G., MacKenzie, J. A., Nolan, M. & Insall, R. H., 16 Mar 2016, In: Journal of Computational Physics. 309, p. 207–226 28 p.

Research output: Contribution to journal › Article › peer-review

Open Access

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40 Citations (Scopus)

101 Downloads (Pure)

2015

Efficient moving mesh methods for Q-tensor models of nematic liquid crystals

MacDonald, C. S., MacKenzie, J. A., Ramage, A. & Newton, C. J. P., 11 Mar 2015, In: SIAM Journal on Scientific Computing. 37, 2, p. B215-B238 24 p.

Research output: Contribution to journal › Article › peer-review

Open Access

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12 Citations (Scopus)

174 Downloads (Pure)

2012

Robust adaptive computation of a one-dimensional Q-tensor model of nematic liquid crystals

MacDonald, C., MacKenzie, J., Ramage, A. & Newton, C., Dec 2012, In: Computers and Mathematics with Applications. 64, 11, p. 3627-3640 14 p.

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

An unconditionally stable second-order accurate ALE–FEM scheme for two-dimensional convection–diffusion problems

Mackenzie, J. & Mekwi, W. R., 2012, In: IMA Journal of Numerical Analysis. 32, 3, p. 888-905 18 p.

Research output: Contribution to journal › Article › peer-review

21 Citations (Scopus)

2011

Chemotaxis: a feedback-based computational model robustly predicts multiple aspects of real cell behaviour

Neilson, M. P., Veltmahn, D. M., van Haastert, P. J. M., Webb, S., Mackenzie, J. A. & Insall, R. H., 17 May 2011, In: PLOS Biology. 9, 5, 11 p., e1000618.

Research output: Contribution to journal › Article › peer-review

Open Access

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130 Citations (Scopus)

182 Downloads (Pure)

Analysis of stability and convergence of finite-difference methods for a reaction-diffusion problem on a one-dimensional growing domain

Mackenzie, J. A. & Madzvamuse, A., 2011, In: IMA Journal of Numerical Analysis. 31, 1, p. 212-232 21 p.

Research output: Contribution to journal › Article › peer-review

Open Access

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16 Citations (Scopus)

87 Downloads (Pure)

Modelling cell movement and chemotaxis pseudopod based feedback

Neilson, M. P., Mackenzie, J., Webb, S. & Insall, R. H., 2011, In: SIAM Journal on Scientific Computing. 33, 3, p. 1035–1057 23 p.

Research output: Contribution to journal › Article › peer-review

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60 Citations (Scopus)

315 Downloads (Pure)

Robust adaptive computation of a one-dimensional Q-tensor model of nematic liquid crystals

MacDonald, C., MacKenzie, J., Ramage, A. & Newton, C., 2011, Glasgow: University of Strathclyde, 17 p.

Research output: Working paper

2010

Use of the parameterised finite element method to robustly and efficiently evolve the edge of a moving cell

Neilson, M. P., Mackenzie, J., Webb, S. & Insall, R. H., 2 Nov 2010, In: Integrative Biology. 2, 11-12, p. 687-695 9 p.

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

2007

A discontinuous Galerkin moving mesh method for Hamilton-Jacobi equations

MacKenzie, J. & Nicola, A., 2007, In: SIAM Journal on Scientific Computing. 29, 6, p. 2258-2282 25 p.

Research output: Contribution to journal › Article › peer-review

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6 Citations (Scopus)

87 Downloads (Pure)

An analysis of stability and convergence of a finite-difference discretization of a model parabolic PDE in 1D using a moving mesh

MacKenzie, J. A. & Mekwi, W., 2007, In: IMA Journal of Numerical Analysis. 27, 3, p. 507-528 22 p.

Research output: Contribution to journal › Article › peer-review

24 Citations (Scopus)

2006

On the use of moving mesh methods to solve PDEs

MacKenzie, J. & Mekwi, W. R., 1 Oct 2006, Adaptive communications: theory and algorithms. Tao, T. & Xu, J. (eds.). p. 243-278 36 p. (Mathematics Monograph Series; no. 6).

Research output: Chapter in Book/Report/Conference proceeding › Other chapter contribution

Improvement in screening performance and diagnosis of congenital hypothyroidism in Scotland 1979-2003

Jones, J. H., Mackenzie, J., Croft, G. A., Beaton, S., Young, D. & Donaldson, M. D. C., 1 Aug 2006, In: Archives of Disease in Childhood. 91, 8, p. 680-685 6 p.

Research output: Contribution to journal › Article › peer-review

36 Citations (Scopus)

An r-adaptive finite element method for the solution of the two-dimensional phase-field equations

Beckett, G., MacKenzie, J. & Robertson, M. L., 2006, In: Communications in Computational Physics. 1, 5, p. 805-826 22 p.

Research output: Contribution to journal › Article › peer-review

2004

An adaptive moving mesh method with local mesh refinement for singularly perturbed PDEs

Mackenzie, J. A., 2004.

Research output: Contribution to conference › Paper › peer-review

Finite element moving mesh analysis of phase change problems with natural convection

Tenchev, R. T., MacKenzie, J. A., Scanlon, T. J. & Stickland, M. T., 2004, In: International Journal of Heat and Fluid Flow. 26, 4, p. 597-612 15 p.

Research output: Contribution to journal › Article › peer-review

29 Citations (Scopus)

On the solution of connective heat transfer problems using an adaptive moving mesh method

Mackenzie, J. A., 2004.

Research output: Contribution to conference › Paper › peer-review

2002

A moving mesh method for the solution of the one-dimensional phase-field equations

Mackenzie, J. A. & Robertson, M. L., 2002, In: Journal of Computational Physics. 181, 2, p. 526-544 18 p.

Research output: Contribution to journal › Article › peer-review

45 Citations (Scopus)

Computational solution of two-dimensional unsteady PDEs using moving mesh methods

Beckett, G., Ramage, A., Sloan, D. M. & Mackenzie, J. A., 2002, In: Journal of Computational Physics. 182, 2, p. 478-495 17 p.

Research output: Contribution to journal › Article › peer-review

38 Citations (Scopus)

Connection between liquid crystal theory and plate theory

Kidd, J. E., Constanda, C., Constanda, C. (ed.), MacKenzie, J. & Stewart, I., 2002, Integral Methods in Science and Engineering: Theoretical and Practical Aspects. Boston, USA

Research output: Chapter in Book/Report/Conference proceeding › Chapter