Robert McLachlan - Google Scholar Citations

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G R QuispelLa Trobe UniversityVerified email at latrobe.edu.au
Brynjulf OwrenProfessor of Mathematics, NTNU, NorwayVerified email at math.ntnu.no
Elena CelledoniProfessor of mathematics at the Norwegian University of Science and TechnologyVerified email at math.ntnu.no
David McLarenLa Trobe UniversityVerified email at latrobe.edu.au
Stephen MarslandProfessor of Mathematics, University of WellingtonVerified email at vuw.ac.nz
Nicolas RobidouxAlgoluxVerified email at algolux.com
Olivier VerdierBergen University CollegeVerified email at hvl.no
Dion O'NealeUniversity of AucklandVerified email at auckland.ac.nz
Antonella Zanna Munthe-KaasProfessor in Numerical Analysis, University of BergenVerified email at math.uib.no
Volker GrimmKarlsruhe Institute of Technology (KIT)Verified email at kit.edu
Will WrightQuant, NABVerified email at latrobe.edu.au
Uri AscherProfessor of Computer Science, UBCVerified email at cs.ubc.ca
Padmanathan KathirgamanathanSenior Lecturer 1, Faculty of Engineering, University of JaffnaVerified email at eng.jfn.ac.lk
Christian OffenMassey UniversityVerified email at massey.ac.nz
Matt WilkinsSenior Tutor, Massey UniversityVerified email at massey.ac.nz
Benedict LeimkuhlerUniversity of EdinburghVerified email at ed.ac.uk
Hairer ErnstProfessor of Mathematics, University of GenevaVerified email at unige.ch
Hans Munthe-KaasProfessor of Mathematics, University of Bergen, NorwayVerified email at math.uib.no
Michael HendyProfessor, Mathematics, Otago UniversityVerified email at maths.otago.ac.nz
Olivier GascuelCNRS & Institut PasteurVerified email at pasteur.fr

Robert McLachlan

Professor of Applied Mathematics, Massey University

Verified email at massey.ac.nz

Numerical Analysis Dynamical Systems


Title	Cited by	Year
Splitting methods RI McLachlan, GRW Quispel Acta Numerica 11, 341-434, 2002	687	2002
The accuracy of symplectic integrators RI McLachlan, P Atela Nonlinearity 5 (2), 541, 1992	424	1992
On the numerical integration of ordinary differential equations by symmetric composition methods RI McLachlan SIAM Journal on Scientific Computing 16 (1), 151-168, 1995	389	1995
Geometric integration using discrete gradients RI McLachlan, GRW Quispel, N Robidoux Philosophical Transactions of the Royal Society of London. Series A …, 1999	387	1999
Symplectic splitting methods for rigid body molecular dynamics A Dullweber, B Leimkuhler, R McLachlan The Journal of chemical physics 107 (15), 5840-5851, 1997	238	1997
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	186	2012
Symplectic integration of Hamiltonian wave equations R McLachlan Numerische Mathematik 66 (1), 465-492, 1993	177	1993
Geometric integrators for ODEs RI McLachlan, GRW Quispel Journal of Physics A: Mathematical and General 39 (19), 5251, 2006	176	2006
Multisymplectic box schemes and the Korteweg–de Vries equation UM Ascher, RI McLachlan Applied Numerical Mathematics 48 (3-4), 255-269, 2004	155	2004
Explicit Lie-Poisson integration and the Euler equations RI McLachlan Physical Review Letters 71 (19), 3043, 1993	145	1993
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	122	2009
Generalized squeezing SL Braunstein, RI McLachlan Physical Review A 35 (4), 1659, 1987	120	1987
On symplectic and multisymplectic schemes for the KdV equation UM Ascher, RI McLachlan Journal of Scientific Computing 25 (1), 83-104, 2005	105	2005
Composition methods in the presence of small parameters RI McLachlan BIT Numerical Mathematics 35 (2), 258-268, 1995	105	1995
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	94	1998
Integrators for nonholonomic mechanical systems R McLachlan, M Perlmutter Journal of nonlinear science 16 (4), 283-328, 2006	90	2006
Equivariant constrained symplectic integration RI McLachlan, C Scovel Journal of Nonlinear Science 5 (3), 233-256, 1995	85	1995
Six lectures on the geometric integration of ODEs RI McLachlan, GRW Quispel La Trobe University, School of Mathematical and Statistical Sciences, 1998	83	1998
Conformal Hamiltonian systems M Perlmutter, R McLachlan J. Geom. Phys 39 (4), 276-300, 2001	68*	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	65	2010

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