Robert I. McLachlan

According to our database1, Robert I. McLachlan
  • authored at least 27 papers between 1995 and 2017.
  • has a "Dijkstra number"2 of five.

Timeline

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Bibliography

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 Science, 2016

Möbius invariants of shapes and images.
CoRR, 2016

2015
The Multisymplectic Diamond Scheme.
SIAM J. Scientific Computing, 2015

2014
High Order Multisymplectic Runge-Kutta Methods.
SIAM J. Scientific Computing, 2014

Modified Trigonometric Integrators.
SIAM J. Numerical Analysis, 2014

Geometric Generalisations of shake and rattle.
Foundations of Computational Mathematics, 2014

2013
Symplectic Integrators for Index 1 Constraints.
SIAM J. Scientific Computing, 2013

Geodesic Warps by Conformal Mappings.
International Journal of Computer Vision, 2013

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

2011
Linear Stability of Partitioned Runge-Kutta Methods.
SIAM J. Numerical Analysis, 2011

Asymptotic Blowup Profiles for Modified Camassa-Holm Equations.
SIAM J. Applied Dynamical Systems, 2011

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

Energy-Preserving Integrators and the Structure of B-series.
Foundations of Computational Mathematics, 2010

2008
On Multisymplecticity of Partitioned Runge-Kutta Methods.
SIAM J. Scientific Computing, 2008

Explicit Volume-Preserving Splitting Methods for Linear and Quadratic Divergence-Free Vector Fields.
Foundations of Computational Mathematics, 2008

2007
A New Implementation of Symplectic Runge-Kutta Methods.
SIAM J. Scientific Computing, 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. Applied Dynamical Systems, 2006

Integrators for Nonholonomic Mechanical Systems.
J. Nonlinear Science, 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.
Foundations of Computational Mathematics, 2005

2003
Lie group foliations: dynamical systems and integrators.
Future Generation Comp. Syst., 2003

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

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


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