A new class of energy-preserving numerical integration methods GRW Quispel, DI McLaren Journal of Physics A: Mathematical and Theoretical 41 (4), 045206, 2008 | 282 | 2008 |

Preserving energy resp. dissipation in numerical PDEs using the “Average Vector Field” method E Celledoni, V Grimm, RI McLachlan, DI McLaren, D O’Neale, B Owren, ... Journal of Computational Physics 231 (20), 6770-6789, 2012 | 202 | 2012 |

Energy-preserving Runge-Kutta methods E Celledoni, RI McLachlan, DI McLaren, B Owren, GRW Quispel, ... ESAIM: Mathematical Modelling and Numerical Analysis 43 (4), 645-649, 2009 | 127 | 2009 |

Integrability properties of Kahanʼs method E Celledoni, RI McLachlan, DI McLaren, B Owren, GRW Quispel Journal of Physics A: Mathematical and Theoretical 47 (36), 365202, 2014 | 35 | 2014 |

Explicit volume-preserving and symplectic integrators for trigonometric polynomial flows GRW Quispel, DI McLaren Journal of Computational Physics 186 (1), 308-316, 2003 | 22 | 2003 |

Integral-preserving integrators DI McLaren, GRW Quispel Journal of Physics A: Mathematical and General 37 (39), L489, 2004 | 21 | 2004 |

Discretization of polynomial vector fields by polarization E Celledoni, RI McLachlan, DI McLaren, B Owren, GRW Quispel Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2015 | 17 | 2015 |

Projection methods and discrete gradient methods for preserving first integrals of ODEs RA Norton, DI McLaren, GRW Quispel, A Stern, A Zanna arXiv preprint arXiv:1302.2713, 2013 | 13 | 2013 |

Transitivity, pattern-reversal, engulfment and duality in exchange-type cell aggregation kinetics P Antonelli, DI McLaren, TD Rogers, M Lathrop, MA Willard Journal of theoretical biology 49 (2), 385-400, 1975 | 13 | 1975 |

Discrete gradient methods for solving variational image regularisation models V Grimm, RI McLachlan, DI McLaren, GRW Quispel, CB Schönlieb Journal of Physics A: Mathematical and Theoretical 50 (29), 295201, 2017 | 11 | 2017 |

Geometric and integrability properties of Kahan’s method: the preservation of certain quadratic integrals E Celledoni, DI McLaren, B Owren, GRW Quispel Journal of Physics A: Mathematical and Theoretical 52 (6), 065201, 2019 | 8 | 2019 |

Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps E Celledoni, C Evripidou, DI McLaren, B Owren, GRW Quispel, BK Tapley, ... Journal of Physics A: Mathematical and Theoretical 52 (31), 31LT01, 2019 | 5 | 2019 |

Three classes of quadratic vector fields for which the Kahan discretisation is the root of a generalised Manin transformation PH van der Kamp, E Celledoni, RI McLachlan, DI McLaren, B Owren, ... Journal of Physics A: Mathematical and Theoretical 52 (4), 045204, 2019 | 5 | 2019 |

Volume preservation by Runge–Kutta methods P Bader, DI McLaren, GRW Quispel, M Webb Applied Numerical Mathematics 109, 123-137, 2016 | 5 | 2016 |

Two classes of quadratic vector fields for which the Kahan discretization is integrable E Celledoni, RI McLachlan, DI McLaren, B Owren, GRW Quispel arXiv preprint arXiv:1702.00280, 2017 | 4 | 2017 |

A criticism of catastrophe modelling of the differentiative process in amphibian development MJ Pearson, DI McLaren Journal of theoretical biology 69 (4), 721-734, 1977 | 4 | 1977 |

Discrete Darboux polynomials and the search for preserved measures and integrals of rational maps E Celledoni, C Evripidou, D McLaren, B Owren, R Quispel, B Tapley arXiv preprint arXiv:1902.04685, 2019 | 3 | 2019 |

Generalised Manin transformations and QRT maps PH van der Kamp, DI McLaren, GRW Quispel arXiv preprint arXiv:1806.05340, 2018 | 3 | 2018 |

The use of discrete gradient methods for total variation type regularization problems in image processing V Grimm, RI McLachlan, D McLaren, GRW Quispel, CB Schönlieb arXiv preprint arXiv:1603.07515, 2016 | 3 | 2016 |

Bootstrapping discrete-gradient integral-preserving integrators to fourth order DI McLaren, GRW Quispel BIT Numer. Math 43 (1), 001-018, 2003 | 3 | 2003 |