Robert I. McLachlan

Orcid: 0000-0003-0392-4957

According to our database1, Robert I. McLachlan authored at least 43 papers between 1995 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Functional Equivariance and Conservation Laws in Numerical Integration.
Found. Comput. Math., February, 2024

2023
Measure preservation and integrals for Lotka-Volterra T-systems and their Kahan discretisation.
CoRR, 2023

Runge-Kutta methods determined from extended phase space methods for Hamiltonian systems.
CoRR, 2023

Birational maps from polarization and the preservation of measure and integrals.
CoRR, 2023

The aromatic bicomplex for the description of divergence-free aromatic forms and volume-preserving integrators.
CoRR, 2023

2022
Using aromas to search for preserved measures and integrals in Kahan's method.
CoRR, 2022

Backward error analysis for conjugate symplectic methods.
CoRR, 2022

2021
Analysing 'Simple' Image Registrations.
J. Math. Imaging Vis., 2021

Tuning symplectic integrators is easy and worthwhile.
CoRR, 2021

2020
Parallelization, initialization, and boundary treatments for the diamond scheme.
Numer. Algorithms, 2020

Multisymplecticity of Hybridizable Discontinuous Galerkin Methods.
Found. Comput. Math., 2020

Preservation of Bifurcations of Hamiltonian Boundary Value Problems Under Discretisation.
Found. Comput. Math., 2020

Backward error analysis for variational discretisations of partial differential equations.
CoRR, 2020

Structure preserving deep learning.
CoRR, 2020

2019
Symplectic integration of boundary value problems.
Numer. Algorithms, 2019

Currents and Finite Elements as Tools for Shape Space.
J. Math. Imaging Vis., 2019

2017
A minimal-variable symplectic integrator on spheres.
Math. Comput., 2017

2016
B-series methods are exactly the affine equivariant methods.
Numerische Mathematik, 2016

Geometry of Discrete-Time Spin Systems.
J. Nonlinear Sci., 2016

Möbius invariants of shapes and images.
CoRR, 2016

2015
The Multisymplectic Diamond Scheme.
SIAM J. Sci. Comput., 2015

2014
High Order Multisymplectic Runge-Kutta Methods.
SIAM J. Sci. Comput., 2014

Modified Trigonometric Integrators.
SIAM J. Numer. Anal., 2014

Geometric Generalisations of shake and rattle.
Found. Comput. Math., 2014

2013
Symplectic Integrators for Index 1 Constraints.
SIAM J. Sci. Comput., 2013

Geodesic Warps by Conformal Mappings.
Int. J. Comput. Vis., 2013

2012
Preserving energy resp. dissipation in numerical PDEs using the "Average Vector Field" method.
J. Comput. Phys., 2012

2011
Linear Stability of Partitioned Runge-Kutta Methods.
SIAM J. Numer. Anal., 2011

Asymptotic Blowup Profiles for Modified Camassa-Holm Equations.
SIAM J. Appl. Dyn. Syst., 2011

2010
Preservation and destruction of periodic orbits by symplectic integrators.
Numer. Algorithms, 2010

Energy-Preserving Integrators and the Structure of B-series.
Found. Comput. Math., 2010

2008
On Multisymplecticity of Partitioned Runge-Kutta Methods.
SIAM J. Sci. Comput., 2008

Explicit Volume-Preserving Splitting Methods for Linear and Quadratic Divergence-Free Vector Fields.
Found. Comput. Math., 2008

2007
A New Implementation of Symplectic Runge-Kutta Methods.
SIAM J. Sci. Comput., 2007

On the multisymplecticity of partitioned Runge-Kutta and splitting methods.
Int. J. Comput. Math., 2007

A Hamiltonian Particle Method for Diffeomorphic Image Registration.
Proceedings of the Information Processing in Medical Imaging, 2007

2006
The Kelvin-Helmholtz Instability of Momentum Sheets in the Euler Equations for Planar Diffeomorphisms.
SIAM J. Appl. Dyn. Syst., 2006

Integrators for Nonholonomic Mechanical Systems.
J. Nonlinear Sci., 2006

2005
On Symplectic and Multisymplectic Schemes for the KdV Equation.
J. Sci. Comput., 2005

The Discrete Moser-Veselov Algorithm for the Free Rigid Body, Revisited.
Found. Comput. Math., 2005

2003
Lie group foliations: dynamical systems and integrators.
Future Gener. Comput. Syst., 2003

2002
Families of High-Order Composition Methods.
Numer. Algorithms, 2002

1995
On the Numerical Integration of Ordinary Differential Equations by Symmetric Composition Methods.
SIAM J. Sci. Comput., 1995


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