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David McLaren
David McLaren
Verified email at latrobe.edu.au
Title
Cited by
Cited by
Year
A new class of energy-preserving numerical integration methods
GRW Quispel, DI McLaren
Journal of Physics A: Mathematical and Theoretical 41 (4), 045206, 2008
4772008
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
3392012
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
1772009
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
562014
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
362015
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
282017
Integral-preserving integrators
DI McLaren, GRW Quispel
Journal of Physics A: Mathematical and General 37 (39), L489, 2004
232004
Explicit volume-preserving and symplectic integrators for trigonometric polynomial flows
GRW Quispel, DI McLaren
Journal of Computational Physics 186 (1), 308-316, 2003
222003
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
202019
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
192019
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
172013
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
132019
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
131975
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
122019
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
122017
Generalised Manin transformations and QRT maps
PH van der Kamp, DI McLaren, GRW Quispel
arXiv preprint arXiv:1806.05340, 2018
92018
Volume preservation by Runge–Kutta methods
P Bader, DI McLaren, GRW Quispel, M Webb
Applied Numerical Mathematics 109, 123-137, 2016
82016
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
71977
Trees and superintegrable Lotka–Volterra families
PH van der Kamp, GRW Quispel, DI McLaren
Mathematical Physics, Analysis and Geometry 27 (4), 25, 2024
42024
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
42023
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Articles 1–20