World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
51
Citations
16574
World Ranking
996
National Ranking
77

Desmond J. Higham 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 Desmond J. Higham 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: 251 publications — 77th percentile

77% of scientists in this discipline score the same or lower.

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

Desmond J. Higham 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 Desmond J. Higham 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: 51 D-Index — 73rd percentile

73% 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

  • 2009 - SIAM Fellow For contributions to numerical analysis and stochastic computation.
  • 2006 - Fellow of the Royal Society of Edinburgh

Overview

Desmond J. Higham is affiliated with the University of Edinburgh in the United Kingdom. Their research spans multiple fields, including computer science and physics and astronomy, with significant contributions in statistical and nonlinear physics, artificial intelligence, computational theory and mathematics, geometry and topology, and computer vision and pattern recognition.

The scientist's research topics cover a range of areas in network science, machine learning, and data analysis. Main topics include:

  • Complex Network Analysis Techniques
  • Adversarial Robustness in Machine Learning
  • Topological and Geometric Data Analysis
  • Opinion Dynamics and Social Influence
  • Graph Theory and Applications
  • Data Visualization and Analytics
  • Anomaly Detection Techniques and Applications

Recent selected publications illustrate the breadth of their work:

  • "Accurately computing the log-sum-exp and softmax functions," 2020, IMA Journal of Numerical Analysis
  • "Epidemics on hypergraphs: spectral thresholds for extinction," 2021, Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
  • "Core-Periphery Detection in Hypergraphs," 2023, SIAM Journal on Mathematics of Data Science
  • "A framework for second-order eigenvector centralities and clustering coefficients," 2020, Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
  • "Random Matrices Generating Large Growth in LU Factorization with Pivoting," 2021, SIAM Journal on Matrix Analysis and Applications

Desmond J. Higham has frequent collaborations with several researchers, including:

  • Peter E. Kloeden
  • Francesco Tudisco
  • Henry-Louis de Kergorlay
  • Konstantinos C. Zygalakis
  • Francesca Arrigo

Their work has appeared repeatedly in the following publication venues:

  • arXiv (Cornell University)
  • Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
  • SIAM Journal on Matrix Analysis and Applications
  • Chaos An Interdisciplinary Journal of Nonlinear Science
  • IMA Journal of Applied Mathematics

In addition to journal articles, Desmond J. Higham authored a book titled An Introduction to the Numerical Simulation of Stochastic Differential Equations, published in 2021 by the Society for Industrial and Applied Mathematics.

The scientist has been recognized as a SIAM Fellow since 2009 for contributions to numerical analysis and stochastic computation and is also a Fellow of the Royal Society of Edinburgh since 2006.

Best Publications

  • An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations

    Desmond J. Higham.

  • Strong Convergence of Euler-Type Methods for Nonlinear Stochastic Differential Equations

    Desmond J. Higham;Xuerong Mao;Andrew M. Stuart

  • MATLAB Guide

    Desmond J. Higham;Nicholas J. Higham

  • Changes in connectivity profiles define functionally-distinct regions in human medial frontal cortex

    H. Johansen-Berg;T. E. J. Behrens;M. D. Robson;I. Drobnjak

  • Ergodicity for SDEs and approximations: Locally Lipschitz vector fields and degenerate noise

    J.C. Mattingly;A.M. Stuart;D.J. Higham

  • Mean-Square and Asymptotic Stability of the Stochastic Theta Method

    Desmond J. Higham

  • Numerical Methods for Ordinary Differential Equations: Initial Value Problems

    David Francis Griffiths;Desmond J. Higham

  • Modeling and Simulating Chemical Reactions

    Desmond J. Higham

  • An Introduction to Financial Option Valuation: Mathematics, Stochastics and Computation

    Desmond J. Higham

  • Network Properties Revealed through Matrix Functions

    Ernesto Estrada;Desmond J. Higham

  • Deep Learning: An Introduction for Applied Mathematicians

    Catherine F. Higham;Desmond J. Higham

  • Numerical methods for nonlinear stochastic differential equations with jumps

    Desmond J. Higham;Peter E. Kloeden

  • Communicability across evolving networks

    Peter Grindrod;Mark C. Parsons;Desmond J. Higham;Ernesto Estrada

  • Almost Sure and Moment Exponential Stability in the Numerical Simulation of Stochastic Differential Equations

    Desmond J. Higham;Xuerong Mao;Chenggui Yuan

  • Convergence of Monte Carlo Simulations involving the Mean-Reverting Square Root Process

    Desmond J. Higham;Xuerong Mao

  • Spectral clustering and its use in bioinformatics

    Desmond J. Higham;Gabriela Kalna;Milla Kibble

  • Geometric De-noising of Protein-Protein Interaction Networks

    Oleksii Kuchaiev;Marija Rasajski;Marija Rasajski;Desmond J. Higham;Natasa Przulj

  • Exponential mean square stability of numerical solutions to stochastic differential equations

    Desmond J. Higham;Xuerong Mao;Andrew M. Stuart

  • Structured Backward Error and Condition of Generalized Eigenvalue Problems

    Desmond J. Higham;Nicholas J. Higham

  • Backward error and condition of structured linear systems

    Desmond J. Higham;Nicholas J. Higham

  • An Algorithmic Introduction to Numerical Simulation of

    Desmond J. Higham

Frequent Co-Authors

Xuerong Mao
Xuerong Mao University of Strathclyde
Ernesto Estrada
Ernesto Estrada Institute for Cross-Disciplinary Physics and Complex Systems
Nicholas J. Higham
Nicholas J. Higham University of Manchester
Peter E. Kloeden
Peter E. Kloeden University of Tübingen
Heidi Johansen-Berg
Heidi Johansen-Berg University of Oxford
Timothy E.J. Behrens
Timothy E.J. Behrens University of Oxford
Paul M. Matthews
Paul M. Matthews Imperial College London
Andrew M. Stuart
Andrew M. Stuart California Institute of Technology
Stephen M. Smith
Stephen M. Smith University of Oxford
Brian J. Morris
Brian J. Morris University of Glasgow

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