Robert I. McLachlan

Publication Activity (10 Years)

Years Active: 1995-2024
Publications (10 Years): 22

Top Topics

Synthesized Images

Top Venues

Found. Comput. Math.

J. Math. Imaging Vis.

Numer. Algorithms

Publications

Robert I. McLachlan, Ari Stern
Functional Equivariance and Conservation Laws in Numerical Integration. Found. Comput. Math. 24 (1) (2024)
Indranil Ghosh, Robert I. McLachlan, David J. W. Simpson
The bifurcation structure within robust chaos for two-dimensional piecewise-linear maps. Commun. Nonlinear Sci. Numer. Simul. 134 (2024)
Geir Bogfjellmo, Elena Celledoni, Robert I. McLachlan, Brynjulf Owren, Reinout Quispel
Using aromas to search for preserved measures and integrals in Kahan's method. Math. Comput. 93 (348) (2023)
Peter H. van der Kamp, Robert I. McLachlan, David I. McLaren, G. R. W. Quispel
Measure preservation and integrals for Lotka-Volterra T-systems and their Kahan discretisation. CoRR (2023)
Robert I. McLachlan, David I. McLaren, G. R. W. Quispel
Birational maps from polarization and the preservation of measure and integrals. CoRR (2023)
Adrien Laurent, Robert I. McLachlan, Hans Z. Munthe-Kaas, Olivier Verdier
The aromatic bicomplex for the description of divergence-free aromatic forms and volume-preserving integrators. CoRR (2023)
Geir Bogfjellmo, Elena Celledoni, Robert I. McLachlan, Brynjulf Owren, Reinout Quispel
Using aromas to search for preserved measures and integrals in Kahan's method. CoRR (2022)
Robert I. McLachlan, Christian Offen
Backward error analysis for conjugate symplectic methods. CoRR (2022)
Robert I. McLachlan, Ari Stern
Functional equivariance and conservation laws in numerical integration. CoRR (2021)
Robert I. McLachlan
Tuning symplectic integrators is easy and worthwhile. CoRR (2021)
Stephen Marsland, Robert I. McLachlan, Raziyeh Zarre
Analysing 'Simple' Image Registrations. J. Math. Imaging Vis. 63 (4) (2021)
Robert I. McLachlan, Christian Offen
Preservation of Bifurcations of Hamiltonian Boundary Value Problems Under Discretisation. Found. Comput. Math. 20 (6) (2020)
Robert I. McLachlan, Christian Offen
Backward error analysis for variational discretisations of partial differential equations. CoRR (2020)
Robert I. McLachlan, Ari Stern
Multisymplecticity of Hybridizable Discontinuous Galerkin Methods. Found. Comput. Math. 20 (1) (2020)
Elena Celledoni, Matthias J. Ehrhardt, Christian Etmann, Robert I. McLachlan, Brynjulf Owren, Carola-Bibiane Schönlieb, Ferdia Sherry
Structure preserving deep learning. CoRR (2020)
Stephen Marsland, Robert I. McLachlan, Matt Wilkins
Parallelization, initialization, and boundary treatments for the diamond scheme. Numer. Algorithms 84 (2) (2020)
James Benn, Stephen Marsland, Robert I. McLachlan, Klas Modin, Olivier Verdier
Currents and Finite Elements as Tools for Shape Space. J. Math. Imaging Vis. 61 (8) (2019)
Robert I. McLachlan, Christian Offen
Symplectic integration of boundary value problems. Numer. Algorithms 81 (4) (2019)
Robert I. McLachlan, Klas Modin, Olivier Verdier
A minimal-variable symplectic integrator on spheres. Math. Comput. 86 (307) (2017)
Robert I. McLachlan, Klas Modin, Olivier Verdier
Geometry of Discrete-Time Spin Systems. J. Nonlinear Sci. 26 (5) (2016)
Robert I. McLachlan, Klas Modin, Hans Z. Munthe-Kaas, Olivier Verdier
B-series methods are exactly the affine equivariant methods. Numerische Mathematik 133 (3) (2016)
Stephen Marsland, Robert I. McLachlan
Möbius invariants of shapes and images. CoRR (2016)
Robert I. McLachlan, Matt Wilkins
The Multisymplectic Diamond Scheme. SIAM J. Sci. Comput. 37 (1) (2015)
Robert I. McLachlan, Ari Stern
Modified Trigonometric Integrators. SIAM J. Numer. Anal. 52 (3) (2014)
Robert I. McLachlan, Brett N. Ryland, Yajuan Sun
High Order Multisymplectic Runge-Kutta Methods. SIAM J. Sci. Comput. 36 (5) (2014)
Robert I. McLachlan, Klas Modin, Olivier Verdier, Matt Wilkins
Geometric Generalisations of shake and rattle. Found. Comput. Math. 14 (2) (2014)
Stephen R. Marsland, Robert I. McLachlan, Klas Modin, Matthew Perlmutter
Geodesic Warps by Conformal Mappings. Int. J. Comput. Vis. 105 (2) (2013)
Robert I. McLachlan, Klas Modin, Olivier Verdier, Matt Wilkins
Symplectic Integrators for Index 1 Constraints. SIAM J. Sci. Comput. 35 (5) (2013)
Elena Celledoni, Volker Grimm, Robert I. McLachlan, D. I. McLaren, Dion R. J. O'Neale, Brynjulf Owren, G. R. W. Quispel
Preserving energy resp. dissipation in numerical PDEs using the "Average Vector Field" method. J. Comput. Phys. 231 (20) (2012)
Robert I. McLachlan, Xingyou Zhang
Asymptotic Blowup Profiles for Modified Camassa-Holm Equations. SIAM J. Appl. Dyn. Syst. 10 (2) (2011)
Robert I. McLachlan, Yajuan Sun, P. S. P. Tse
Linear Stability of Partitioned Runge-Kutta Methods. SIAM J. Numer. Anal. 49 (1) (2011)
Robert I. McLachlan, Dion R. J. O'Neale
Preservation and destruction of periodic orbits by symplectic integrators. Numer. Algorithms 53 (2-3) (2010)
Elena Celledoni, Robert I. McLachlan, Brynjulf Owren, G. R. W. Quispel
Energy-Preserving Integrators and the Structure of B-series. Found. Comput. Math. 10 (6) (2010)
Brett N. Ryland, Robert I. McLachlan
On Multisymplecticity of Partitioned Runge-Kutta Methods. SIAM J. Sci. Comput. 30 (3) (2008)
Robert I. McLachlan, Hans Z. Munthe-Kaas, G. R. W. Quispel, Antonella Zanna
Explicit Volume-Preserving Splitting Methods for Linear and Quadratic Divergence-Free Vector Fields. Found. Comput. Math. 8 (3) (2008)
Brett N. Ryland, Robert I. McLachlan, Jason Frank
On the multisymplecticity of partitioned Runge-Kutta and splitting methods. Int. J. Comput. Math. 84 (6) (2007)
Stephen R. Marsland, Robert I. McLachlan
A Hamiltonian Particle Method for Diffeomorphic Image Registration. IPMI (2007)
Robert I. McLachlan
A New Implementation of Symplectic Runge-Kutta Methods. SIAM J. Sci. Comput. 29 (4) (2007)
Robert I. McLachlan, Matthew Perlmutter
Integrators for Nonholonomic Mechanical Systems. J. Nonlinear Sci. 16 (4) (2006)
Robert I. McLachlan, Stephen R. Marsland
The Kelvin-Helmholtz Instability of Momentum Sheets in the Euler Equations for Planar Diffeomorphisms. SIAM J. Appl. Dyn. Syst. 5 (4) (2006)
Robert I. McLachlan, Antonella Zanna
The Discrete Moser-Veselov Algorithm for the Free Rigid Body, Revisited. Found. Comput. Math. 5 (1) (2005)
Uri M. Ascher, Robert I. McLachlan
On Symplectic and Multisymplectic Schemes for the KdV Equation. J. Sci. Comput. 25 (1-2) (2005)
Robert I. McLachlan, Matthew Perlmutter, G. R. W. Quispel
Lie group foliations: dynamical systems and integrators. Future Gener. Comput. Syst. 19 (7) (2003)
Robert I. McLachlan
Families of High-Order Composition Methods. Numer. Algorithms 31 (1-4) (2002)
Robert I. McLachlan
On the Numerical Integration of Ordinary Differential Equations by Symmetric Composition Methods. SIAM J. Sci. Comput. 16 (1) (1995)