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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, 341-434, 2002
10252002
Geometric integration using discrete gradients
RI McLachlan, GRW Quispel, N Robidoux
Philosophical Transactions of the Royal Society of London. Series A …, 1999
6161999
The accuracy of symplectic integrators
RI McLachlan, P Atela
Nonlinearity 5 (2), 541, 1992
4921992
On the numerical integration of ordinary differential equations by symmetric composition methods
RI McLachlan
SIAM Journal on Scientific Computing 16 (1), 151-168, 1995
4691995
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
3282012
Symplectic splitting methods for rigid body molecular dynamics
A Dullweber, B Leimkuhler, R McLachlan
The Journal of chemical physics 107 (15), 5840-5851, 1997
3211997
Geometric integrators for ODEs
RI McLachlan, GRW Quispel
Journal of Physics A: Mathematical and General 39 (19), 5251, 2006
2222006
Symplectic integration of Hamiltonian wave equations
R McLachlan
Numerische Mathematik 66, 465-492, 1993
2021993
Multisymplectic box schemes and the Korteweg–de Vries equation
UM Ascher, RI McLachlan
Applied Numerical Mathematics 48 (3-4), 255-269, 2004
1982004
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
1722009
Explicit Lie-Poisson integration and the Euler equations
RI McLachlan
Physical review letters 71 (19), 3043, 1993
1671993
Generalized squeezing
SL Braunstein, RI McLachlan
Physical Review A 35 (4), 1659, 1987
1601987
On symplectic and multisymplectic schemes for the KdV equation
UM Ascher, RI McLachlan
Journal of Scientific Computing 25, 83-104, 2005
1362005
Integrators for nonholonomic mechanical systems
R McLachlan, M Perlmutter
Journal of nonlinear science 16, 283-328, 2006
1282006
Composition methods in the presence of small parameters
RI McLachlan
BIT numerical mathematics 35, 258-268, 1995
1271995
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
1191998
Conformal Hamiltonian systems
M Perlmutter, R McLachlan
J. Geom. Phys 39 (4), 276-300, 2001
107*2001
Six lectures on the geometric integration of ODEs
RI McLachlan, GRW Quispel
La Trobe University, School of Mathematical and Statistical Sciences, 1998
1011998
Energy-preserving integrators and the structure of B-series
E Celledoni, RI McLachlan, B Owren, GRW Quispel
Foundations of Computational Mathematics 10, 673-693, 2010
982010
Geometric properties of Kahan's method
E Celledoni, RI McLachlan, B Owren, GRW Quispel
Journal of Physics A: Mathematical and Theoretical 46 (2), 025201, 2012
972012
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