Robert I. McLachlan

Orcid: 0000-0003-0392-4957

According to our database¹, Robert I. McLachlan authored at least 45 papers between 1995 and 2025.

Collaborative distances:

Dijkstra number² of five.
Erdős number³ of four.

Timeline

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In proceedings

Article

PhD thesis

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Bibliography

2025

Robust Chaos in Orientation-Reversing and Non-Invertible Two-Dimensional Piecewise-Linear Maps.

[BibT_eX]

[DOI]

Indranil Ghosh

Robert I. McLachlan

David J. W. Simpson

J. Nonlinear Sci., February, 2025

2024

Functional Equivariance and Conservation Laws in Numerical Integration.

[BibT_eX]

[DOI]

Robert I. McLachlan

Ari Stern

Found. Comput. Math., February, 2024

The bifurcation structure within robust chaos for two-dimensional piecewise-linear maps.

[BibT_eX]

[DOI]

Indranil Ghosh

Robert I. McLachlan

David J. W. Simpson

Commun. Nonlinear Sci. Numer. Simul., 2024

2023

Using aromas to search for preserved measures and integrals in Kahan's method.

[BibT_eX]

[DOI]

Math. Comput., 2023

Measure preservation and integrals for Lotka-Volterra T-systems and their Kahan discretisation.

[BibT_eX]

[DOI]

Peter H. van der Kamp

Robert I. McLachlan

David I. McLaren

G. R. W. Quispel

CoRR, 2023

Runge-Kutta methods determined from extended phase space methods for Hamiltonian systems.

[BibT_eX]

[DOI]

Robert I. McLachlan

CoRR, 2023

Birational maps from polarization and the preservation of measure and integrals.

[BibT_eX]

[DOI]

Robert I. McLachlan

David I. McLaren

G. R. W. Quispel

CoRR, 2023

The aromatic bicomplex for the description of divergence-free aromatic forms and volume-preserving integrators.

[BibT_eX]

[DOI]

CoRR, 2023

2022

Backward error analysis for conjugate symplectic methods.

[BibT_eX]

[DOI]

Robert I. McLachlan

Christian Offen

CoRR, 2022

2021

Analysing 'Simple' Image Registrations.

[BibT_eX]

[DOI]

Stephen Marsland

Robert I. McLachlan

Raziyeh Zarre

J. Math. Imaging Vis., 2021

Tuning symplectic integrators is easy and worthwhile.

[BibT_eX]

[DOI]

Robert I. McLachlan

CoRR, 2021

2020

Parallelization, initialization, and boundary treatments for the diamond scheme.

[BibT_eX]

[DOI]

Stephen Marsland

Robert I. McLachlan

Matt Wilkins

Numer. Algorithms, 2020

Multisymplecticity of Hybridizable Discontinuous Galerkin Methods.

[BibT_eX]

[DOI]

Robert I. McLachlan

Ari Stern

Found. Comput. Math., 2020

Preservation of Bifurcations of Hamiltonian Boundary Value Problems Under Discretisation.

[BibT_eX]

[DOI]

Robert I. McLachlan

Christian Offen

Found. Comput. Math., 2020

Backward error analysis for variational discretisations of partial differential equations.

[BibT_eX]

[DOI]

Robert I. McLachlan

Christian Offen

CoRR, 2020

Structure preserving deep learning.

[BibT_eX]

[DOI]

Carola-Bibiane Schönlieb

Ferdia Sherry

CoRR, 2020

2019

Symplectic integration of boundary value problems.

[BibT_eX]

[DOI]

Robert I. McLachlan

Christian Offen

Numer. Algorithms, 2019

Currents and Finite Elements as Tools for Shape Space.

[BibT_eX]

[DOI]

J. Math. Imaging Vis., 2019

2017

A minimal-variable symplectic integrator on spheres.

[BibT_eX]

[DOI]

Robert I. McLachlan

Klas Modin

Olivier Verdier

Math. Comput., 2017

2016

B-series methods are exactly the affine equivariant methods.

[BibT_eX]

[DOI]

Numerische Mathematik, 2016

Geometry of Discrete-Time Spin Systems.

[BibT_eX]

[DOI]

Robert I. McLachlan

Klas Modin

Olivier Verdier

J. Nonlinear Sci., 2016

Möbius invariants of shapes and images.

[BibT_eX]

[DOI]

Stephen Marsland

Robert I. McLachlan

CoRR, 2016

2015

The Multisymplectic Diamond Scheme.

[BibT_eX]

[DOI]

Robert I. McLachlan

Matt Wilkins

SIAM J. Sci. Comput., 2015

2014

High Order Multisymplectic Runge-Kutta Methods.

[BibT_eX]

[DOI]

Robert I. McLachlan

Brett N. Ryland

Yajuan Sun

SIAM J. Sci. Comput., 2014

Modified Trigonometric Integrators.

[BibT_eX]

[DOI]

Robert I. McLachlan

Ari Stern

SIAM J. Numer. Anal., 2014

Geometric Generalisations of shake and rattle.

[BibT_eX]

[DOI]

Found. Comput. Math., 2014

2013

Symplectic Integrators for Index 1 Constraints.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2013

Geodesic Warps by Conformal Mappings.

[BibT_eX]

[DOI]

Int. J. Comput. Vis., 2013

2012

Preserving energy resp. dissipation in numerical PDEs using the "Average Vector Field" method.

[BibT_eX]

[DOI]

J. Comput. Phys., 2012

2011

Linear Stability of Partitioned Runge-Kutta Methods.

[BibT_eX]

[DOI]

Robert I. McLachlan

Yajuan Sun

P. S. P. Tse

SIAM J. Numer. Anal., 2011

Asymptotic Blowup Profiles for Modified Camassa-Holm Equations.

[BibT_eX]

[DOI]

Robert I. McLachlan

Xingyou Zhang

SIAM J. Appl. Dyn. Syst., 2011

2010

Preservation and destruction of periodic orbits by symplectic integrators.

[BibT_eX]

[DOI]

Robert I. McLachlan

Dion R. J. O'Neale

Numer. Algorithms, 2010

Energy-Preserving Integrators and the Structure of B-series.

[BibT_eX]

[DOI]

Found. Comput. Math., 2010

2008

On Multisymplecticity of Partitioned Runge-Kutta Methods.

[BibT_eX]

[DOI]

Brett N. Ryland

Robert I. McLachlan

SIAM J. Sci. Comput., 2008

Explicit Volume-Preserving Splitting Methods for Linear and Quadratic Divergence-Free Vector Fields.

[BibT_eX]

[DOI]

Found. Comput. Math., 2008

2007

A New Implementation of Symplectic Runge-Kutta Methods.

[BibT_eX]

[DOI]

Robert I. McLachlan

SIAM J. Sci. Comput., 2007

On the multisymplecticity of partitioned Runge-Kutta and splitting methods.

[BibT_eX]

[DOI]

Brett N. Ryland

Robert I. McLachlan

Jason Frank

Int. J. Comput. Math., 2007

A Hamiltonian Particle Method for Diffeomorphic Image Registration.

[BibT_eX]

[DOI]

Stephen R. Marsland

Robert I. McLachlan

Proceedings of the Information Processing in Medical Imaging, 2007

2006

The Kelvin-Helmholtz Instability of Momentum Sheets in the Euler Equations for Planar Diffeomorphisms.

[BibT_eX]

[DOI]

Robert I. McLachlan

Stephen R. Marsland

SIAM J. Appl. Dyn. Syst., 2006

Integrators for Nonholonomic Mechanical Systems.

[BibT_eX]

[DOI]

Robert I. McLachlan

Matthew Perlmutter

J. Nonlinear Sci., 2006

2005

On Symplectic and Multisymplectic Schemes for the KdV Equation.

[BibT_eX]

[DOI]

Uri M. Ascher

Robert I. McLachlan

J. Sci. Comput., 2005

The Discrete Moser-Veselov Algorithm for the Free Rigid Body, Revisited.

[BibT_eX]

[DOI]

Robert I. McLachlan

Antonella Zanna

Found. Comput. Math., 2005

2003

Lie group foliations: dynamical systems and integrators.

[BibT_eX]

[DOI]

Robert I. McLachlan

Matthew Perlmutter

G. R. W. Quispel

Future Gener. Comput. Syst., 2003

2002

Families of High-Order Composition Methods.

[BibT_eX]

[DOI]

Robert I. McLachlan

Numer. Algorithms, 2002

1995

On the Numerical Integration of Ordinary Differential Equations by Symmetric Composition Methods.

[BibT_eX]

[DOI]

Robert I. McLachlan

SIAM J. Sci. Comput., 1995

Robert I. McLachlan

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