World's Best Scientists 2026 revealed!
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Mathematics
UK
2022

D-Index & Metrics

Mathematics

D-Index
81
Citations
33450
World Ranking
134
National Ranking
9

Engineering and Technology

D-Index
79
Citations
32308
World Ranking
558
National Ranking
37

Nicholas 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 Nicholas 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: 82 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: 318 publications — 88th percentile

88% of scientists in this discipline score the same or lower.

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

Nicholas 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 Nicholas 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: 137 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: 81 D-Index — 96th percentile

96% 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

  • 2022 - Research.com Mathematics in United Kingdom Leader Award
  • 2020 - ACM Fellow For contributions to numerical linear algebra, numerical stability analysis, and communication of mathematics
  • 2016 - Member of Academia Europaea
  • 2009 - SIAM Fellow For contributions to numerical linear algebra and rounding error analysis.
  • 2007 - Fellow of the Royal Society, United Kingdom

Overview

Nicholas J. Higham was affiliated with the University of Manchester in the United Kingdom. Their research primarily focused on computer science with a specialization in numerical linear algebra and related computational methods.

The main fields of study included:

  • Computer Science

Within this broad field, their work concentrated on several subfields:

  • Computational Theory and Mathematics
  • Hardware and Architecture
  • Electrical and Electronic Engineering
  • Computational Mechanics
  • Numerical Analysis

Key topics covered in their research were:

  • Matrix Theory and Algorithms
  • Numerical Methods and Algorithms
  • Parallel Computing and Optimization Techniques
  • Polynomial and algebraic computation
  • Low-power high-performance VLSI design
  • Advanced Optimization Algorithms Research
  • Sparse and Compressive Sensing Techniques

Higham was the author and co-author of several publications. Notable recent papers included:

  • "Mixed precision algorithms in numerical linear algebra", 2022, Acta Numerica
  • "A survey of numerical linear algebra methods utilizing mixed-precision arithmetic", 2021, The International Journal of High Performance Computing Applications
  • "Accurately computing the log-sum-exp and softmax functions", 2020, IMA Journal of Numerical Analysis
  • "Mixed Precision Block Fused Multiply-Add: Error Analysis and Application to GPU Tensor Cores", 2020, SIAM Journal on Scientific Computing
  • "Stochastic Rounding and Its Probabilistic Backward Error Analysis", 2021, SIAM Journal on Scientific Computing

Frequent collaborators included:

  • Théo Mary
  • Massimiliano Fasi
  • Jack Dongarra
  • Srikara Pranesh
  • Stanimire Tomov

Higham's work appeared frequently in prominent venues such as:

  • SIAM Journal on Scientific Computing
  • SIAM Journal on Matrix Analysis and Applications
  • arXiv (Cornell University)
  • IMA Journal of Numerical Analysis
  • PeerJ Computer Science

Higham also contributed to book publications under the Society for Industrial and Applied Mathematics:

  • Handbook of Writing for the Mathematical Sciences, Third Edition (2020)
  • How to Be Creative (2022)

During their career, Higham received several distinctions including:

  • ACM Fellow (2020) for contributions to numerical linear algebra, numerical stability analysis, and communication of mathematics
  • Member of Academia Europaea (2016)
  • SIAM Fellow (2009) for contributions to numerical linear algebra and rounding error analysis
  • Fellow of the Royal Society, United Kingdom (2007)

Best Publications

  • Accuracy and stability of numerical algorithms

    Nicholas J. Higham

  • Functions of Matrices: Theory and Computation

    Nicholas J. Higham

  • Computing the nearest correlation matrix—a problem from finance

    Nicholas J. Higham

  • The Scaling and Squaring Method for the Matrix Exponential Revisited

    Nicholas J. Higham

  • COMPUTING A NEAREST SYMMETRIC POSITIVE SEMIDEFINITE MATRIX

    Nicholas J. Higham

  • MATLAB Guide

    Desmond J. Higham;Nicholas J. Higham

  • Computing the polar decomposition with applications

    Nicholas J Higham

  • Computing the Action of the Matrix Exponential, with an Application to Exponential Integrators

    Awad H. Al-Mohy;Nicholas J. Higham

  • Functions of matrices

    Nicholas J. Higham

  • The numerical stability of barycentric Lagrange interpolation

    Nicholas J. Higham

  • A New Scaling and Squaring Algorithm for the Matrix Exponential

    Awad H. Al-Mohy;Nicholas J. Higham

  • The accuracy of floating point summation

    Nicholas J. Higham

  • NLEVP: A Collection of Nonlinear Eigenvalue Problems

    Timo Betcke;Nicholas J. Higham;Volker Mehrmann;Christian Schröder

  • Handbook of Writing for the Mathematical Sciences

    Nicholas J. Higham

  • MATRIX NEARNESS PROBLEMS AND APPLICATIONS

    N J Higham

  • Computing real square roots of a real matrix

    Nicholas J. Higham

  • Analysis of the Cholesky Decomposition of a Semi-definite Matrix

    Nicholas J. Higham

  • Computing $A^lpha, \log(A)$, and Related Matrix Functions by Contour Integrals

    Nicholas Hale;Nicholas J. Higham;Lloyd N. Trefethen

  • FORTRAN codes for estimating the one-norm of a real or complex matrix, with applications to condition estimation

    Nicholas J. Higham

  • Stable iterations for the matrix square root

    Nicholas J. Higham

Frequent Co-Authors

Françoise Tisseur
Françoise Tisseur University of Manchester
Jack Dongarra
Jack Dongarra University of Tennessee at Knoxville
Mark R. Dennis
Mark R. Dennis University of Birmingham
Desmond J. Higham
Desmond J. Higham University of Edinburgh
James Demmel
James Demmel University of California, Berkeley
Volker Mehrmann
Volker Mehrmann Technical University of Berlin
Iain S. Duff
Iain S. Duff Rutherford Appleton Laboratory
Robert Schreiber
Robert Schreiber Cerebras Systems
David Topping
David Topping University of Manchester
Gordon McFiggans
Gordon McFiggans University of Manchester

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