Robert McLachlan
Robert McLachlan
Professor of Applied Mathematics, Massey University
Verified email at massey.ac.nz
Title
Cited by
Cited by
Year
Splitting methods
RI McLachlan, GRW Quispel
Acta Numerica 11, 341, 2002
7202002
The accuracy of symplectic integrators
RI McLachlan, P Atela
Nonlinearity 5 (2), 541, 1992
4321992
Geometric integration using discrete gradients
RI McLachlan, GRW Quispel, N Robidoux
Philosophical Transactions of the Royal Society of London. Series A …, 1999
4271999
On the numerical integration of ordinary differential equations by symmetric composition methods
RI McLachlan
SIAM Journal on Scientific Computing 16 (1), 151-168, 1995
3951995
Symplectic splitting methods for rigid body molecular dynamics
A Dullweber, B Leimkuhler, R McLachlan
The Journal of chemical physics 107 (15), 5840-5851, 1997
2431997
Preserving energy resp. dissipation in numerical PDEs using the “Average Vector Field” method
E Celledoni, V Grimm, RI McLachlan, DI McLaren, D O’Neale, B Owren, ...
Journal of Computational Physics 231 (20), 6770-6789, 2012
2052012
Geometric integrators for ODEs
RI McLachlan, GRW Quispel
Journal of Physics A: Mathematical and General 39 (19), 5251, 2006
1832006
Symplectic integration of Hamiltonian wave equations
R McLachlan
Numerische Mathematik 66 (1), 465-492, 1993
1811993
Multisymplectic box schemes and the Korteweg–de Vries equation
UM Ascher, RI McLachlan
Applied Numerical Mathematics 48 (3-4), 255-269, 2004
1602004
Explicit Lie-Poisson integration and the Euler equations
RI McLachlan
Physical review letters 71 (19), 3043, 1993
1491993
Energy-preserving Runge-Kutta methods
E Celledoni, RI McLachlan, DI McLaren, B Owren, GRW Quispel, ...
ESAIM: Mathematical Modelling and Numerical Analysis 43 (4), 645-649, 2009
1292009
Generalized squeezing
SL Braunstein, RI McLachlan
Physical Review A 35 (4), 1659, 1987
1181987
Composition methods in the presence of small parameters
RI McLachlan
BIT numerical mathematics 35 (2), 258-268, 1995
1081995
On symplectic and multisymplectic schemes for the KdV equation
UM Ascher, RI McLachlan
Journal of Scientific Computing 25 (1), 83-104, 2005
1072005
Integrators for nonholonomic mechanical systems
R McLachlan, M Perlmutter
Journal of nonlinear science 16 (4), 283-328, 2006
952006
Unified approach to Hamiltonian systems, Poisson systems, gradient systems, and systems with Lyapunov functions or first integrals
RI McLachlan, GRW Quispel, N Robidoux
Physical Review Letters 81 (12), 2399, 1998
941998
Equivariant constrained symplectic integration
RI McLachlan, C Scovel
Journal of Nonlinear Science 5 (3), 233-256, 1995
851995
Six lectures on the geometric integration of ODEs
RI McLachlan, GRW Quispel
La Trobe University, School of Mathematical and Statistical Sciences, 1998
841998
Conformal Hamiltonian systems
M Perlmutter, R McLachlan
J. Geom. Phys 39 (4), 276-300, 2001
76*2001
Energy-preserving integrators and the structure of B-series
E Celledoni, RI McLachlan, B Owren, GRW Quispel
Foundations of Computational Mathematics 10 (6), 673-693, 2010
692010
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