2026 Robert I. McLachlan: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	35	2734	2445	9	9	155	6696

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

2734

2445

155

6696

Overview

Robert I. McLachlan is affiliated with Massey University in New Zealand. Their research spans across mathematics and physics, with a strong focus on numerical methods and dynamical systems. They have contributed extensively to the study of differential equations and their computational methods.

The scientist's recent publications include:

Frequency, morbidity and equity - the case for increased research on male fertility (2023), published in Nature Reviews Urology
Integrability properties of Kahan's method (2023), published in OPAL (Open@LaTrobe) (La Trobe University)
Current global status of male reproductive health (2024), published in Human Reproduction Open
Managing Aotearoa New Zealand's greenhouse gas emissions from aviation (2023), published in Journal of the Royal Society of New Zealand
Homoclinic tangencies with infinitely many asymptotically stable single-round periodic solutions (2021), published in Discrete and Continuous Dynamical Systems

Their frequent coauthors include:

David J. W. Simpson
David McLaren
G. Quispel
Christian Offen
Moira K. O'Bryan

Common publication venues where Robert I. McLachlan's work appears are:

arXiv (Cornell University)
Policy Quarterly
Discrete and Continuous Dynamical Systems
The Journal of Geometric Mechanics
Fertility & Reproduction

Their main fields of study consist of:

Mathematics
Physics and Astronomy

Within these fields, their subfield expertise covers:

Statistical and Nonlinear Physics
Numerical Analysis
Geometry and Topology
Mathematical Physics
Computational Mechanics

The core topics of Robert I. McLachlan's research include:

Numerical methods for differential equations
Advanced Differential Equations and Dynamical Systems
Quantum chaos and dynamical systems
Model Reduction and Neural Networks
Advanced Numerical Methods in Computational Mathematics
Nonlinear Waves and Solitons
Mathematical Dynamics and Fractals

Best Publications

Geometric integration using discrete gradients

Robert I. McLachlan;G. R. W. Quispel;Nicolas Robidoux

635
Citations
On the numerical integration of ordinary differential equations by symmetric composition methods

Robert I. McLachlan

492
Citations
The accuracy of symplectic integrators

Robert I McLachlan;Pau Atela

483
Citations
Preserving energy resp. dissipation in numerical PDEs using the Average Vector Field method

E. Celledoni;V. Grimm;R.I. McLachlan;D.I. McLaren

345
Citations
Symplectic splitting methods for rigid body molecular dynamics

Andreas Dullweber;Benedict Leimkuhler;Robert McLachlan

328
Citations
Acta Numerica 2002: Splitting methods

Robert I. McLachlan;G. Reinout W. Quispel

299
Citations
Geometric integrators for ODEs

Robert I McLachlan;G Reinout W Quispel

218
Citations
Symplectic integration of Hamiltonian wave equations

Robert Mclachlan

212
Citations
Multisymplectic box schemes and the Korteweg-de Vries equation

Uri M. Ascher;Robert I. McLachlan

198
Citations
Explicit Lie-Poisson integration and the Euler equations

Robert I. McLachlan

174
Citations
Energy-preserving Runge-Kutta methods

Elena Celledoni;Robert I. McLachlan;David I. McLaren;Brynjulf Owren

171
Citations
Conformal Hamiltonian systems

Robert McLachlan;Matthew Perlmutter

149
Citations
On Symplectic and Multisymplectic Schemes for the KdV Equation

U. M. Ascher;R. I. Mclachlan

138
Citations
Composition methods in the presence of small parameters

Robert I. McLachlan

127
Citations
Integrators for Nonholonomic Mechanical Systems

Robert I. McLachlan;Matthew Perlmutter

125
Citations
UNIFIED APPROACH TO HAMILTONIAN SYSTEMS, POISSON SYSTEMS, GRADIENT SYSTEMS, AND SYSTEMS WITH LYAPUNOV FUNCTIONS OR FIRST INTEGRALS

Robert I. McLachlan;G. R. W. Quispel;Nicolas Robidoux

125
Citations
Geometric properties of Kahan's method

Elena Celledoni;Robert I McLachlan;Brynjulf Owren;G R W Quispel

102
Citations
A gallery of constant-negative-curvature surfaces

Robert McLachlan

100
Citations
Energy-Preserving Integrators and the Structure of B-series

Elena Celledoni;Robert I. McLachlan;Brynjulf Owren;G. R. W. Quispel

98
Citations
Equivariant constrained symplectic integration

R. I. McLachlan;C. Scovel

94
Citations

Frequent Co-Authors

G. R. W. Quispel La Trobe University

Ernst Hairer University of Geneva

Uri M. Ascher University of British Columbia

Harvey Segur University of Colorado Boulder

Robert D. Skeel Purdue University West Lafayette

Andrew Grigg Austin Hospital

John R. Zalcberg Monash University

Olivier Gascuel Université Paris Cité

Carola-Bibiane Schönlieb University of Cambridge

James S. Wiley University of Melbourne

External Links

Wikipedia of Robert I. McLachlan Personal website of Robert I. McLachlan Google Scholar page

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