World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
58
Citations
19105
World Ranking
620
National Ranking
48

Engineering and Technology

D-Index
58
Citations
19199
World Ranking
2430
National Ranking
164

Nicholas I. M. Gould 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 I. M. Gould 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: 176 publications — 52nd percentile

52% of scientists in this discipline score the same or lower.

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

Nicholas I. M. Gould 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 I. M. Gould 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: 58 D-Index — 83rd percentile

83% 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 continuous optimization.

Overview

Nicholas I. M. Gould is affiliated with the Rutherford Appleton Laboratory in the United Kingdom. Their research spans multiple fields, primarily focusing on Computer Science, Engineering, and Mathematics. Within these areas, Gould's work covers several subfields, including Numerical Analysis, Computational Mechanics, Computational Theory and Mathematics, Artificial Intelligence, and Control and Systems Engineering.

Their main topics of research include Advanced Optimization Algorithms Research, Sparse and Compressive Sensing Techniques, Stochastic Gradient Optimization Techniques, Optimization and Variational Analysis, Matrix Theory and Algorithms, Polynomial and Algebraic Computation, and Machine Learning and Algorithms.

Among Gould's selected recent publications are:

  • Strong Evaluation Complexity Bounds for Arbitrary-Order Optimization of Nonconvex Nonsmooth Composite Functions, 2020, arXiv (Cornell University)
  • Strong Evaluation Complexity Bounds for Arbitrary-Order Optimization of Nonconvex Nonsmooth Composite Functions, 2020, arXiv (Cornell University)
  • Approximating sparse Hessian matrices using large-scale linear least squares, 2023, Numerical Algorithms
  • Sharp Worst-Case Evaluation Complexity Bounds for Arbitrary-Order Nonconvex Optimization with Inexpensive Constraints, 2020, SIAM Journal on Optimization
  • Strong Evaluation Complexity of An Inexact Trust-Region Algorithm for Arbitrary-Order Unconstrained Nonconvex Optimization, 2020, arXiv (Cornell University)

Frequent publication venues where Gould's work appears include:

  • arXiv (Cornell University)
  • Numerical Algorithms
  • SIAM Journal on Optimization
  • The Journal of Open Source Software
  • Amicus Curiae

Gould has collaborated frequently with several co-authors. The most frequent collaborators are Philippe L. Toint, Coralia Cartis, Jaroslav Fowkes, J. A. Scott, and Olivia Liang.

Gould has authored a book published by the Society for Industrial and Applied Mathematics titled Evaluation Complexity of Algorithms for Nonconvex Optimization: Theory, Computation and Perspectives (2022).

Gould received recognition as a SIAM Fellow in 2009 for contributions to numerical continuous optimization.

Best Publications

  • Trust Region Methods

    Andrew R. Conn;Nicholas I. M. Gould;Philippe L. Toint

  • CUTE: constrained and unconstrained testing environment

    I. Bongartz;A. R. Conn;Nick Gould;Ph. L. Toint

  • A globally convergent augmented Lagrangian algorithm for optimization with general constraints and simple bounds

    Andrew R. Conn;Nicholas I. M. Gould;Philippe L. Toint

  • Lancelot: A FORTRAN Package for Large-Scale Nonlinear Optimization (Release A)

    A. R. Conn;N. I. M. Gould;Ph L. Toint

  • CUTEr and SifDec: A constrained and unconstrained testing environment, revisited

    Nicholas I. M. Gould;Dominique Orban;Philippe L. Toint

  • Global Convergence of a Trust-Region SQP-Filter Algorithm for General Nonlinear Programming

    Roger Fletcher;Nicholas I. M. Gould;Sven Leyffer;Philippe L. Toint

  • A globally convergent Lagrangian barrier algorithm for optimization with general inequality constraints and simple bounds

    A. R. Conn;Nick Gould;Ph. L. Toint

  • Constraint Preconditioning for Indefinite Linear Systems

    Carsten Keller;Nicholas I. M. Gould;Andrew J. Wathen

  • Adaptive cubic regularisation methods for unconstrained optimization. Part I: motivation, convergence and numerical results

    Coralia Cartis;Nicholas I. Gould;Philippe L. Toint

  • CUTEst: a Constrained and Unconstrained Testing Environment with safe threads for mathematical optimization

    Nicholas I. Gould;Dominique Orban;Philippe L. Toint

  • Solving the Trust-Region Subproblem using the Lanczos Method

    Nicholas I. M. Gould;Stefano Lucidi;Massimo Roma;Philippe L. Toint

  • On the Solution of Equality Constrained Quadratic Programming Problems Arising in Optimization

    Nicholas I. M. Gould;Mary E. Hribar;Jorge Nocedal

  • Testing a class of methods for solving minimization problems with simple bounds on the variables

    Andrew R. Conn;Nicholas I. M. Gould;Philippe L. Toint

  • A numerical evaluation of sparse direct solvers for the solution of large sparse symmetric linear systems of equations

    Nicholas I. M. Gould;Jennifer A. Scott;Yifan Hu

  • Adaptive cubic regularisation methods for unconstrained optimization. Part II: worst-case function- and derivative-evaluation complexity

    Coralia Cartis;Nicholas I. M. Gould;Philippe L. Toint

  • Convergence of quasi-Newton matrices generated by the symmetric rank one update

    A. R. Conn;N. I. M. Gould;Ph. L. Toint

  • GALAHAD, a library of thread-safe Fortran 90 packages for large-scale nonlinear optimization

    Nicholas I. M. Gould;Dominique Orban;Philippe L. Toint

  • On the Complexity of Steepest Descent, Newton's and Regularized Newton's Methods for Nonconvex Unconstrained Optimization Problems

    C. Cartis;N. I. M. Gould;Ph. L. Toint

  • Numerical methods for large-scale nonlinear optimization

    Nick Gould;Dominique Orban;Philippe Toint

  • SIAM Journal on Optimization

    C Audet;H H Bauschke;L T Biegler;P L Combettes

  • SOLVING THE TRUST-REGION SUBPROBLEM USING THE

    Nicholas I. M. Gould;Stefano Lucidi;Massimo Roma;Philippe L. Toint

Frequent Co-Authors

Philippe L. Toint
Philippe L. Toint University of Namur
Andrew J. Wathen
Andrew J. Wathen University of Oxford
Sven Leyffer
Sven Leyffer Argonne National Laboratory
John Reid
John Reid Rutherford Appleton Laboratory
Iain S. Duff
Iain S. Duff Rutherford Appleton Laboratory
Jorge Nocedal
Jorge Nocedal Northwestern University
Christoph Ortner
Christoph Ortner University of Warwick
Michael A. Saunders
Michael A. Saunders Stanford University
Richard H. Byrd
Richard H. Byrd University of Colorado Boulder
Philip E. Gill
Philip E. Gill University of California, San Diego

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 students pursuing Mathematics in the USA, exploring related online degrees can open doors to diverse career opportunities. Many professionals consider combining their math skills with business knowledge by enrolling in an MBA programs that accept transfer credits, allowing for flexible learning paths and accelerated degree completion.

Data-driven roles are also growing rapidly, making data analysis programs an attractive option. These programs equip learners with essential tools to interpret complex datasets, bridging the gap between theoretical mathematics and practical business applications.

For those balancing work and study, it’s helpful to identify MBA programs easy to get into. These programs can provide valuable credentials without the intense competition often found in top-tier schools.

Additionally, many students benefit from easy online MBA formats, which offer flexibility and convenience. Combining mathematics expertise with business acumen enhances career growth in fields like finance, analytics, and management.

Best Scientists Citing Nicholas I. M. Gould

Trending Scientists

Recently Published Articles