Articles with public access mandates - Robert McLachlanLearn more
Available somewhere: 26
Achieving Brouwer’s law with implicit Runge–Kutta methods
E Hairer, RI McLachlan, A Razakarivony
BIT Numerical Mathematics 48, 231-243, 2008
Mandates: Swiss National Science Foundation
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
Mandates: Australian Research Council
Structure-preserving deep learning
E Celledoni, MJ Ehrhardt, C Etmann, RI McLachlan, B Owren, ...
European journal of applied mathematics 32 (5), 888-936, 2021
Mandates: UK Engineering and Physical Sciences Research Council, Wellcome Trust …
B-series methods are exactly the affine equivariant methods
RI McLachlan, K Modin, H Munthe-Kaas, O Verdier
Numerische Mathematik 133, 599-622, 2016
Mandates: Swedish Research Council
High order multisymplectic Runge--Kutta methods
RI McLachlan, BN Ryland, Y Sun
SIAM Journal on Scientific Computing 36 (5), A2199-A2226, 2014
Mandates: National Natural Science Foundation of China
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
Mandates: Australian Research Council
Geometric Generalisations of shake and rattle
R I McLachlan, K Modin, O Verdier, M Wilkins
Foundations of Computational Mathematics 14, 339-370, 2014
Mandates: Swedish Research Council
On energy conservation of the simplified Takahashi-Imada method
E Hairer, RI McLachlan, RD Skeel
ESAIM: Mathematical Modelling and Numerical Analysis 43 (4), 631-644, 2009
Mandates: Swiss National Science Foundation, US National Institutes of Health
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
Mandates: Australian Research Council, UK Engineering and Physical Sciences Research …
Collective Lie–Poisson integrators on ℝ3
RI McLachlan, K Modin, O Verdier
IMA Journal of Numerical Analysis 35 (2), 546-560, 2015
Mandates: Swedish Research Council
Collective symplectic integrators
RI McLachlan, K Modin, O Verdier
Nonlinearity 27 (6), 1525, 2014
Mandates: Swedish Research Council
Travelling wave solutions of multisymplectic discretizations of semi-linear wave equations
F McDonald, RI McLachlan, BE Moore, GRW Quispel
Journal of difference equations and applications 22 (7), 913-940, 2016
Mandates: Australian Research Council
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
Mandates: Australian Research Council, European Commission, Research Council of Norway
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
Mandates: Australian Research Council, European Commission, Research Council of Norway
Using aromas to search for preserved measures and integrals in Kahan’s method
G Bogfjellmo, E Celledoni, R McLachlan, B Owren, G Quispel
Mathematics of Computation 93 (348), 1633-1653, 2024
Mandates: UK Engineering and Physical Sciences Research Council, European Commission
Principal symmetric space analysis
C Curry, S Marsland, RI McLachlan
Journal of Computational Dynamics 6 (2), 251-276, 2019
Mandates: UK Engineering and Physical Sciences Research Council, European Commission
The aromatic bicomplex for the description of divergence-free aromatic forms and volume-preserving integrators
A Laurent, RI McLachlan, HZ Munthe-Kaas, O Verdier
Forum of Mathematics, Sigma 11, e69, 2023
Mandates: Research Council of Norway
Detection of high codimensional bifurcations in variational PDEs
LM Kreusser, RI McLachlan, C Offen
Nonlinearity 33 (5), 2335, 2020
Mandates: UK Engineering and Physical Sciences Research Council
Geometry of discrete-time spin systems
RI McLachlan, K Modin, O Verdier
Journal of Nonlinear Science 26, 1507-1523, 2016
Mandates: European Commission
Symplectic integrators for index 1 constraints
RI McLachlan, K Modin, O Verdier, M Wilkins
SIAM Journal on Scientific Computing 35 (5), A2150-A2162, 2013
Mandates: Swedish Research Council
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