World's Best Scientists 2026 revealed!
Robert I. McLachlan

Robert I. McLachlan

D-Index & Metrics

Mathematics

D-Index
35
Citations
6696
World Ranking
2735
National Ranking
9

Robert I. McLachlan publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Robert I. McLachlan sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 155 publications — 41st percentile

41% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Robert I. McLachlan D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Robert I. McLachlan sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 35 D-Index — 25th percentile

25% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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

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

    Robert I. McLachlan

  • The accuracy of symplectic integrators

    Robert I McLachlan;Pau Atela

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

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

  • Symplectic splitting methods for rigid body molecular dynamics

    Andreas Dullweber;Benedict Leimkuhler;Robert McLachlan

  • Acta Numerica 2002: Splitting methods

    Robert I. McLachlan;G. Reinout W. Quispel

  • Geometric integrators for ODEs

    Robert I McLachlan;G Reinout W Quispel

  • Symplectic integration of Hamiltonian wave equations

    Robert Mclachlan

  • Multisymplectic box schemes and the Korteweg-de Vries equation

    Uri M. Ascher;Robert I. McLachlan

  • Explicit Lie-Poisson integration and the Euler equations

    Robert I. McLachlan

  • Energy-preserving Runge-Kutta methods

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

  • Conformal Hamiltonian systems

    Robert McLachlan;Matthew Perlmutter

  • On Symplectic and Multisymplectic Schemes for the KdV Equation

    U. M. Ascher;R. I. Mclachlan

  • Composition methods in the presence of small parameters

    Robert I. McLachlan

  • Integrators for Nonholonomic Mechanical Systems

    Robert I. McLachlan;Matthew Perlmutter

  • 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

  • Geometric properties of Kahan's method

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

  • A gallery of constant-negative-curvature surfaces

    Robert McLachlan

  • Energy-Preserving Integrators and the Structure of B-series

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

  • Equivariant constrained symplectic integration

    R. I. McLachlan;C. Scovel

Frequent Co-Authors

G. R. W. Quispel
G. R. W. Quispel La Trobe University
Ernst Hairer
Ernst Hairer University of Geneva
Uri M. Ascher
Uri M. Ascher University of British Columbia
Harvey Segur
Harvey Segur University of Colorado Boulder
Robert D. Skeel
Robert D. Skeel Purdue University West Lafayette
Andrew Grigg
Andrew Grigg Austin Hospital
John R. Zalcberg
John R. Zalcberg Monash University
Olivier Gascuel
Olivier Gascuel Université Paris Cité
Carola-Bibiane Schönlieb
Carola-Bibiane Schönlieb University of Cambridge
James S. Wiley
James S. Wiley University of Melbourne

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

For those studying Mathematics in the USA, exploring related online degrees can broaden career opportunities and provide specialized skills. Many students consider programs like an MBA to complement their analytical background. When searching for flexible options, understanding transfer credits for online MBA programs can help save time and tuition by recognizing previous coursework.

Additionally, careers in data science and analytics are rapidly growing fields where mathematical skills are highly valued. Pursuing a master's in data analytics equips students with practical tools to interpret complex data, making this degree an excellent pathway for math graduates aiming for high-demand roles.

For professionals seeking leadership roles, an MBA remains a popular choice. If accessibility is a concern, researching the easiest MBA program to get into can simplify the admission process while still offering valuable business knowledge. Furthermore, online formats provide flexibility, with many students opting for an easy online MBA degree program to balance work and study effectively.

By combining mathematical expertise with business acumen or data analytics, graduates can access diverse career paths in finance, technology, and management.

Explore more about transfer credits for online MBA programs, masters data analytics, easiest MBA program to get into, and easy online MBA degree options to tailor your educational journey.

Best Scientists Citing Robert I. McLachlan

Trending Scientists

Recently Published Articles