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D-Index & Metrics

Mathematics

D-Index
38
Citations
9200
World Ranking
2288
National Ranking
150

Benedict Leimkuhler 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 Benedict Leimkuhler 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: 141 publications — 33rd percentile

33% of scientists in this discipline score the same or lower.

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

Benedict Leimkuhler 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 Benedict Leimkuhler 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: 38 D-Index — 37th percentile

37% of scientists in this discipline score the same or lower.

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

Research.com Recognitions

  • 2014 - Fellow of the Royal Society of Edinburgh

Overview

Benedict Leimkuhler is affiliated with the University of Edinburgh in the United Kingdom. Their research spans multiple fields, focusing primarily on computer science and mathematics. Within these disciplines, their work addresses several subfields including artificial intelligence, statistics and probability, statistical and nonlinear physics, atomic and molecular physics and optics, and molecular biology.

The main topics covered in their research include Markov chains and Monte Carlo methods, Gaussian processes and Bayesian inference, model reduction and neural networks, statistical methods and inference, stochastic processes and financial applications, Bayesian methods and mixture models, and quantum many-body systems.

Leimkuhler has contributed to publications in various scientific venues. Frequent venues where they have published include:

  • arXiv (Cornell University)
  • SIAM Journal on Scientific Computing
  • Physical review. E
  • SIAM Journal on Numerical Analysis
  • The Annals of Applied Probability

Among recent papers authored or coauthored by Leimkuhler are:

  • "Two-dimensional mobile breather scattering in a hexagonal crystal lattice," 2021, Physical review. E
  • "Efficient Numerical Algorithms for the Generalized Langevin Equation," 2022, SIAM Journal on Scientific Computing
  • "Simplest random walk for approximating Robin boundary value problems and ergodic limits of reflected diffusions," 2023, The Annals of Applied Probability
  • "Contraction and Convergence Rates for Discretized Kinetic Langevin Dynamics," 2024, SIAM Journal on Numerical Analysis
  • "Constraint-Based Regularization of Neural Networks," 2020, arXiv (Cornell University)

Collaborations play a significant role in Leimkuhler's research. Frequent coauthors include:

  • Daniel Paulin
  • Peter A. Whalley
  • Matthias Sachs
  • Akash Sharma
  • M. V. Tretyakov

In recognition of their work, Benedict Leimkuhler was named a Fellow of the Royal Society of Edinburgh in 2014.

Best Publications

  • Simulating Hamiltonian Dynamics

    Benedict J Leimkuhler;Sebastian Reich

  • Automatic integration of Euler-Lagrange equations with constraints

    Charles William Gear;B. Leimkuhler;G. K. Gupta

  • The Nosé-Poincaré Method for Constant Temperature Molecular Dynamics

    Stephen D Bond;Benedict J Leimkuhler;Brian B Laird

  • Rational Construction of Stochastic Numerical Methods for Molecular Sampling

    Benedict Leimkuhler;Charles Matthews

  • Symplectic Numerical Integrators in Constrained Hamiltonian Systems

    Benedict J. Leimkuhler;Robert D. Skeel

  • Symplectic splitting methods for rigid body molecular dynamics

    Andreas Dullweber;Benedict Leimkuhler;Robert McLachlan

  • Computational Molecular Dynamics: Challenges, Methods, Ideas

    Peter Deuflhard;Jan Hermans;Benedict Leimkuhler;Alan E. Mark

  • Numerical solution of differential-algebraic equations for constrained mechanical motion

    C. Führer;B. J. Leimkuhler

  • A gentle stochastic thermostat for molecular dynamics

    Benedict Leimkuhler;Emad Noorizadeh;Florian Theil

  • Robust and efficient configurational molecular sampling via Langevin dynamics

    Benedict Leimkuhler;Charles Matthews

  • ALGORITHMS FOR CONSTRAINED MOLECULAR DYNAMICS

    Eric Barth;Krzysztof Kuczera;Benedict J. Leimkuhler;Robert D. Skeel

  • Neural Information Processing Systems (NIPS)

    Xiaocheng Shang;Zhanxing Zhu;Benedict Leimkuhler;Amos Storkey

  • Integration Methods for Molecular Dynamics

    Benedict J. Leimkuhler;Sebastian Reich;Robert D. Skeel

  • A Stochastic Algorithm for the Isobaric-Isothermal Ensemble with Ewald Summations for All Long Range Forces.

    Michele Di Pierro;Ron Elber;Benedict Leimkuhler

  • The computation of averages from equilibrium and nonequilibrium Langevin molecular dynamics

    Benedict Leimkuhler;Charles Matthews;Gabriel Stoltz

  • Approximation methods for the consistent initialization of differential-algebraic equations

    B. Leimkuhler;L. R. Petzold;C. W. Gear

  • Molecular Dynamics : With Deterministic and Stochastic Numerical Methods

    Benedict Leimkuhler;Charles Matthews

  • The Adaptive Verlet Method

    Weizhang Huang;Benedict Leimkuhler

  • Comparing the Efficiencies of Stochastic Isothermal Molecular Dynamics Methods

    Benedict Leimkuhler;Emad Noorizadeh;Oliver Penrose

  • Symplectic integration of constrained Hamiltonian systems

    B. Leimkuhler;S. Reich

  • Adaptive stochastic methods for sampling driven molecular systems

    Andrew Jones;Benedict Leimkuhler

Frequent Co-Authors

Sebastian Reich
Sebastian Reich University of Potsdam
Robert D. Skeel
Robert D. Skeel Purdue University West Lafayette
Amos Storkey
Amos Storkey University of Edinburgh
Alan E. Mark
Alan E. Mark University of Queensland
Ron Elber
Ron Elber The University of Texas at Austin
Charles William Gear
Charles William Gear Princeton University
Peter Deuflhard
Peter Deuflhard Zuse Institute Berlin
Sergio A. Jimenez
Sergio A. Jimenez Thomas Jefferson University
Tamar Schlick
Tamar Schlick New York University
Martin Kröger
Martin Kröger ETH Zurich

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