Robert I. McLachlan

48 papers Journal 47Unranked 1

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	Robust Chaos in Orientation-Reversing and Non-Invertible Two-Dimensional Piecewise-Linear Maps. J. Nonlinear Sci. Indranil Ghosh, Robert I. McLachlan, David J. W. Simpson
2025	J	`jnl`	Runge-Kutta methods determined from extended phase space methods for Hamiltonian systems. Numer. Algorithms Robert I. McLachlan
2024	J	`jnl`	Functional Equivariance and Conservation Laws in Numerical Integration. Found. Comput. Math. Robert I. McLachlan, Ari Stern
2024	J	`jnl`	The bifurcation structure within robust chaos for two-dimensional piecewise-linear maps. Commun. Nonlinear Sci. Numer. Simul. Indranil Ghosh, Robert I. McLachlan, David J. W. Simpson
2023	J	`jnl`	Birational maps from polarization and the preservation of measure and integrals. CoRR Robert I. McLachlan, David I. McLaren, G. R. W. Quispel
2023	J	`jnl`	Measure preservation and integrals for Lotka-Volterra T-systems and their Kahan discretisation. CoRR Peter H. van der Kamp, Robert I. McLachlan, David I. McLaren, G. R. W. Quispel
2023	J	`jnl`	Runge-Kutta methods determined from extended phase space methods for Hamiltonian systems. CoRR Robert I. McLachlan
2023	J	`jnl`	The aromatic bicomplex for the description of divergence-free aromatic forms and volume-preserving integrators. CoRR Adrien Laurent, Robert I. McLachlan, Hans Z. Munthe-Kaas, Olivier Verdier
2023	J	`jnl`	Using aromas to search for preserved measures and integrals in Kahan's method. Math. Comput. Geir Bogfjellmo, Elena Celledoni, Robert I. McLachlan, Brynjulf Owren, Reinout Quispel
2022	J	`jnl`	Backward error analysis for conjugate symplectic methods. CoRR Robert I. McLachlan, Christian Offen
2022	J	`jnl`	Using aromas to search for preserved measures and integrals in Kahan's method. CoRR Geir Bogfjellmo, Elena Celledoni, Robert I. McLachlan, Brynjulf Owren, Reinout Quispel
2021	J	`jnl`	Analysing 'Simple' Image Registrations. J. Math. Imaging Vis. Stephen Marsland, Robert I. McLachlan, Raziyeh Zarre
2021	J	`jnl`	Functional equivariance and conservation laws in numerical integration. CoRR Robert I. McLachlan, Ari Stern
2021	J	`jnl`	Tuning symplectic integrators is easy and worthwhile. CoRR Robert I. McLachlan
2020	J	`jnl`	Backward error analysis for variational discretisations of partial differential equations. CoRR Robert I. McLachlan, Christian Offen
2020	J	`jnl`	Multisymplecticity of Hybridizable Discontinuous Galerkin Methods. Found. Comput. Math. Robert I. McLachlan, Ari Stern
2020	J	`jnl`	Parallelization, initialization, and boundary treatments for the diamond scheme. Numer. Algorithms Stephen Marsland, Robert I. McLachlan, Matt Wilkins
2020	J	`jnl`	Preservation of Bifurcations of Hamiltonian Boundary Value Problems Under Discretisation. Found. Comput. Math. Robert I. McLachlan, Christian Offen
2020	J	`jnl`	Structure preserving deep learning. CoRR Elena Celledoni, Matthias J. Ehrhardt, Christian Etmann, Robert I. McLachlan, Brynjulf Owren, Carola-Bibiane Schönlieb, Ferdia Sherry
2019	J	`jnl`	Currents and Finite Elements as Tools for Shape Space. J. Math. Imaging Vis. James Benn, Stephen Marsland, Robert I. McLachlan, Klas Modin, Olivier Verdier
2019	J	`jnl`	Symplectic integration of boundary value problems. Numer. Algorithms Robert I. McLachlan, Christian Offen
2017	J	`jnl`	A minimal-variable symplectic integrator on spheres. Math. Comput. Robert I. McLachlan, Klas Modin, Olivier Verdier
2016	J	`jnl`	B-series methods are exactly the affine equivariant methods. Numerische Mathematik Robert I. McLachlan, Klas Modin, Hans Z. Munthe-Kaas, Olivier Verdier
2016	J	`jnl`	Geometry of Discrete-Time Spin Systems. J. Nonlinear Sci. Robert I. McLachlan, Klas Modin, Olivier Verdier
2016	J	`jnl`	Möbius invariants of shapes and images. CoRR Stephen Marsland, Robert I. McLachlan
2015	J	`jnl`	The Multisymplectic Diamond Scheme. SIAM J. Sci. Comput. Robert I. McLachlan, Matt Wilkins
2014	J	`jnl`	Geometric Generalisations of shake and rattle. Found. Comput. Math. Robert I. McLachlan, Klas Modin, Olivier Verdier, Matt Wilkins
2014	J	`jnl`	High Order Multisymplectic Runge-Kutta Methods. SIAM J. Sci. Comput. Robert I. McLachlan, Brett N. Ryland, Yajuan Sun
2014	J	`jnl`	Modified Trigonometric Integrators. SIAM J. Numer. Anal. Robert I. McLachlan, Ari Stern
2013	J	`jnl`	Geodesic Warps by Conformal Mappings. Int. J. Comput. Vis. Stephen R. Marsland, Robert I. McLachlan, Klas Modin, Matthew Perlmutter
2013	J	`jnl`	Symplectic Integrators for Index 1 Constraints. SIAM J. Sci. Comput. Robert I. McLachlan, Klas Modin, Olivier Verdier, Matt Wilkins
2012	J	`jnl`	Preserving energy resp. dissipation in numerical PDEs using the "Average Vector Field" method. J. Comput. Phys. Elena Celledoni, Volker Grimm, Robert I. McLachlan, David I. McLaren, Dion R. J. O'Neale, Brynjulf Owren, G. R. W. Quispel
2011	J	`jnl`	Asymptotic Blowup Profiles for Modified Camassa-Holm Equations. SIAM J. Appl. Dyn. Syst. Robert I. McLachlan, Xingyou Zhang
2011	J	`jnl`	Linear Stability of Partitioned Runge-Kutta Methods. SIAM J. Numer. Anal. Robert I. McLachlan, Yajuan Sun, P. S. P. Tse
2010	J	`jnl`	Energy-Preserving Integrators and the Structure of B-series. Found. Comput. Math. Elena Celledoni, Robert I. McLachlan, Brynjulf Owren, G. R. W. Quispel
2010	J	`jnl`	Preservation and destruction of periodic orbits by symplectic integrators. Numer. Algorithms Robert I. McLachlan, Dion R. J. O'Neale
2008	J	`jnl`	Explicit Volume-Preserving Splitting Methods for Linear and Quadratic Divergence-Free Vector Fields. Found. Comput. Math. Robert I. McLachlan, Hans Z. Munthe-Kaas, G. R. W. Quispel, Antonella Zanna
2008	J	`jnl`	On Multisymplecticity of Partitioned Runge-Kutta Methods. SIAM J. Sci. Comput. Brett N. Ryland, Robert I. McLachlan
2007	—	`conf`	A Hamiltonian Particle Method for Diffeomorphic Image Registration. IPMI Stephen R. Marsland, Robert I. McLachlan
2007	J	`jnl`	A New Implementation of Symplectic Runge-Kutta Methods. SIAM J. Sci. Comput. Robert I. McLachlan
2007	J	`jnl`	On the multisymplecticity of partitioned Runge-Kutta and splitting methods. Int. J. Comput. Math. Brett N. Ryland, Robert I. McLachlan, Jason Frank
2006	J	`jnl`	Integrators for Nonholonomic Mechanical Systems. J. Nonlinear Sci. Robert I. McLachlan, Matthew Perlmutter
2006	J	`jnl`	The Kelvin-Helmholtz Instability of Momentum Sheets in the Euler Equations for Planar Diffeomorphisms. SIAM J. Appl. Dyn. Syst. Robert I. McLachlan, Stephen R. Marsland
2005	J	`jnl`	On Symplectic and Multisymplectic Schemes for the KdV Equation. J. Sci. Comput. Uri M. Ascher, Robert I. McLachlan
2005	J	`jnl`	The Discrete Moser-Veselov Algorithm for the Free Rigid Body, Revisited. Found. Comput. Math. Robert I. McLachlan, Antonella Zanna
2003	J	`jnl`	Lie group foliations: dynamical systems and integrators. Future Gener. Comput. Syst. Robert I. McLachlan, Matthew Perlmutter, G. R. W. Quispel
2002	J	`jnl`	Families of High-Order Composition Methods. Numer. Algorithms Robert I. McLachlan
1995	J	`jnl`	On the Numerical Integration of Ordinary Differential Equations by Symmetric Composition Methods. SIAM J. Sci. Comput. Robert I. McLachlan