World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

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

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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