| A new class of energy-preserving numerical integration methods GRW Quispel, DI McLaren Journal of Physics A: Mathematical and Theoretical 41 (4), 045206, 2008 | 477 | 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 | 338 | 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 | 178 | 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 | 56 | 2014 |
| 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 | 36 | 2015 |
| 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 | 28 | 2017 |
| Integral-preserving integrators DI McLaren, GRW Quispel Journal of Physics A: Mathematical and General 37 (39), L489, 2004 | 23 | 2004 |
| 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 |
| 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 | 20 | 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 | 19 | 2019 |
| 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 | 17 | 2013 |
| 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 | 13 | 2019 |
| 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 |
| Detecting and determining preserved measures and integrals of birational maps E Celledoni, C Evripidou, D McLaren, B Owren, R Quispel, B Tapley arXiv preprint arXiv:1902.04685, 2019 | 12 | 2019 |
| 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 | 12 | 2017 |
| Generalised Manin transformations and QRT maps PH van der Kamp, DI McLaren, GRW Quispel arXiv preprint arXiv:1806.05340, 2018 | 9 | 2018 |
| Volume preservation by Runge–Kutta methods P Bader, DI McLaren, GRW Quispel, M Webb Applied Numerical Mathematics 109, 123-137, 2016 | 8 | 2016 |
| 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 | 7 | 1977 |
| Trees and superintegrable Lotka–Volterra families PH van der Kamp, GRW Quispel, DI McLaren Mathematical Physics, Analysis and Geometry 27 (4), 25, 2024 | 4 | 2024 |
| Birational maps from polarization and the preservation of measure and integrals RI McLachlan, DI McLaren, GRW Quispel Journal of Physics A: Mathematical and Theoretical 56 (36), 365202, 2023 | 4 | 2023 |
