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
2822008
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
2022012
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
1272009
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
352014
Explicit volume-preserving and symplectic integrators for trigonometric polynomial flows
GRW Quispel, DI McLaren
Journal of Computational Physics 186 (1), 308-316, 2003
222003
Integral-preserving integrators
DI McLaren, GRW Quispel
Journal of Physics A: Mathematical and General 37 (39), L489, 2004
212004
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
172015
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
132013
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
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
112017
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
82019
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
52019
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
52019
Volume preservation by Runge–Kutta methods
P Bader, DI McLaren, GRW Quispel, M Webb
Applied Numerical Mathematics 109, 123-137, 2016
52016
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
42017
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
41977
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
32019
Generalised Manin transformations and QRT maps
PH van der Kamp, DI McLaren, GRW Quispel
arXiv preprint arXiv:1806.05340, 2018
32018
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
32016
Bootstrapping discrete-gradient integral-preserving integrators to fourth order
DI McLaren, GRW Quispel
BIT Numer. Math 43 (1), 001-018, 2003
32003
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Articles 1–20