The Efficient Generation of Simple Two-Dimensional Adaptive Grids. - John A. Mackenzie (SIAM J. Sci. Comput., 1998)

A posteriori error analysis for numerical approximations of Friedrichs systems. - Paul Houston; John A. Mackenzie; Endre Süli; Gerald Warnecke (Numerische Mathematik, 1999)

A Moving Mesh Method for One-dimensional Hyperbolic Conservation Laws. - John M. Stockie; John A. Mackenzie; Robert D. Russell (SIAM J. Sci. Comput., 2001)

A Discontinuous Galerkin Moving Mesh Method for Hamilton-Jacobi Equations. - John A. Mackenzie; Nicola Aurelian (SIAM J. Sci. Comput., 2007)

Modeling Cell Movement and Chemotaxis Using Pseudopod-Based Feedback. - M. P. Neilson; John A. Mackenzie; S. D. Webb; R. H. Insall (SIAM J. Sci. Comput., 2011)

Robust adaptive computation of a one-dimensional Q-tensor model of nematic liquid crystals. - Craig S. MacDonald; John A. Mackenzie; Alison Ramage; Christopher J. P. Newton (Comput. Math. Appl., 2012)

Efficient Moving Mesh Methods for Q-Tensor Models of Nematic Liquid Crystals. - Craig S. MacDonald; John A. Mackenzie; Alison Ramage; Christopher J. P. Newton (SIAM J. Sci. Comput., 2015)

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; John A. Mackenzie; M. Nolan; R. H. Insall (J. Comput. Phys., 2016)

A Conservative Finite Element ALE Scheme for Mass-Conserving Reaction-Diffusion Equations on Evolving Two-Dimensional Domains. - John A. Mackenzie; Christopher F. Rowlatt; Robert H. Insall (CoRR, 2019)

An Adaptive Moving Mesh Method for Forced Curve Shortening Flow. - John A. Mackenzie; M. Nolan; Christopher F. Rowlatt; Robert H. Insall (SIAM J. Sci. Comput., 2019)

An hr-adaptive method for the cubic nonlinear Schrödinger equation. - John A. Mackenzie; Wan R. Mekwi (J. Comput. Appl. Math., 2020)

A moving mesh method for modelling defects in nematic liquid crystals. - Craig S. MacDonald; John A. Mackenzie; Alison Ramage (J. Comput. Phys. X, 2020)

A Conservative Finite Element ALE Scheme for Mass-Conservative Reaction-Diffusion Equations on Evolving Two-Dimensional Domains. - John A. Mackenzie; Christopher F. Rowlatt; Robert H. Insall (SIAM J. Sci. Comput., 2021)

Approximate Bayesian inference in a model for self-generated gradient collective cell movement. - Jon Devlin; Agnieszka Borowska; Dirk Husmeier; John A. Mackenzie (Comput. Stat., 2025)