# Robert I. McLachlan

According to our database

Collaborative distances:

^{1}, Robert I. McLachlan authored at least 26 papers between 1995 and 2017.Collaborative distances:

## Timeline

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Book In proceedings Article PhD thesis Other## Links

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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

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