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Mathematics
UK
2026

D-Index & Metrics

Mathematics

D-Index
74
Citations
40009
World Ranking
209
National Ranking
11

Lloyd N. Trefethen 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 Lloyd N. Trefethen 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: 248 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.

Lloyd N. Trefethen 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 Lloyd N. Trefethen 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: 74 D-Index — 94th percentile

94% 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

  • 2026 - Research.com Mathematics in United Kingdom Leader Award
  • 2025 - Research.com Mathematics in United Kingdom Leader Award
  • 2022 - Research.com Mathematics in United Kingdom Leader Award
  • 2019 - Member of Academia Europaea
  • 2013 - Fellow of the American Mathematical Society
  • 2009 - SIAM Fellow For contributions to numerical analysis and scientific computing.
  • 2007 - Member of the National Academy of Engineering For contributions to stability theory in numerical analysis and its application to the determination of the onset of turbulence.
  • 2005 - Fellow of the Royal Society, United Kingdom
  • 1992 - Fellow of the American Association for the Advancement of Science (AAAS)

Overview

Lloyd N. Trefethen is affiliated with the University of Oxford in the United Kingdom. Their research spans several fields, predominantly in mathematics, engineering, and computer science, with a focus on areas such as computational mechanics, applied mathematics, and numerical analysis. Their work also covers computational theory and mathematics and mathematical physics, reflecting a broad interdisciplinary approach within computational and theoretical mathematics.

The key topics represented in their work include mathematical functions and polynomials, matrix theory and algorithms, electromagnetic scattering and analysis, advanced numerical methods in computational mathematics, iterative methods for nonlinear equations, numerical methods for differential equations, and advanced numerical analysis techniques.

Trefethen has authored numerous papers published in various prominent venues. Recent papers include:

  • "An Algorithm for Real and Complex Rational Minimax Approximation" (2020), SIAM Journal on Scientific Computing
  • "Lightning Stokes Solver" (2022), SIAM Journal on Scientific Computing
  • "Numerical analytic continuation" (2023), Japan Journal of Industrial and Applied Mathematics
  • "Computation of Two-Dimensional Stokes Flows via Lightning and AAA Rational Approximation" (2024), SIAM Journal on Scientific Computing
  • "Log-lightning computation of capacity and Green's function" (2021), Maple Transactions

Trefethen has frequently collaborated with several coauthors during their career, including Yuji Nakatsukasa, Daan Huybrechs, Pablo D. Brubeck, Stefano Costa, and Yidan Xue. Collaborative work with these researchers has contributed to the development of numerical and computational methods.

The main publication venues for Trefethen's work include arXiv (Cornell University) with 17 publications, SIAM Journal on Scientific Computing with 5, SIAM Review with 4, BIT Numerical Mathematics with 2, and SIAM Journal on Numerical Analysis with 2 publications.

In addition to research papers, Trefethen has published several books. These include:

  • Society for Industrial and Applied Mathematics: "Numerical Linear Algebra, Twenty-fifth Anniversary Edition" (2022) and "An Applied Mathematician's Apology" (2022)
  • Princeton University Press: "Spectra and Pseudospectra" (2020)
  • American Mathematical Society: "Numerical Conformal Mapping" (expected 2025)

The scientist has received multiple honors during their career: they became a Fellow of the Royal Society in the United Kingdom in 2005, a Member of the National Academy of Engineering in 2007 for contributions to stability theory in numerical analysis and its application to turbulence onset, a SIAM Fellow in 2009 for contributions to numerical analysis and scientific computing, a Fellow of the American Mathematical Society in 2013, a Member of Academia Europaea in 2019, and a Fellow of the American Association for the Advancement of Science in 1992.

Best Publications

  • Numerical Linear Algebra

    Lloyd N. Trefethen;David Bau

  • Spectral Methods in MATLAB

    Lloyd N. Trefethen

  • Hydrodynamic Stability Without Eigenvalues

    Lloyd N. Trefethen;Anne E. Trefethen;Satish C. Reddy;Tobin A. Driscoll

  • Spectra and Pseudospectra: The Behavior of Nonnormal Matrices and Operators

    Lloyd N. Trefethen;Mark Embree

  • Spectra and pseudospectra

    Lloyd N. Trefethen

  • Barycentric Lagrange Interpolation

    Jean-Paul Berrut;Lloyd N. Trefethen

  • Approximation Theory and Approximation Practice, Extended Edition

    Lloyd N. Trefethen

  • Fourth-Order Time-Stepping for Stiff PDEs

    Aly-Khan Kassam;Lloyd N. Trefethen

  • Approximation Theory and Approximation Practice

    Lloyd N. Trefethen

  • Schwarz-Christoffel mapping

    Tobin A. Driscoll;Lloyd N. Trefethen

  • Is Gauss Quadrature Better than Clenshaw-Curtis?

    Lloyd N. Trefethen

  • Pseudospectra of linear operators

    Lloyd N. Trefethen

  • Group velocity in finite difference schemes

    Lloyd N. Trefethen

  • The AAA Algorithm for Rational Approximation

    Yuji Nakatsukasa;Olivier Sète;Lloyd N. Trefethen

  • The Exponentially Convergent Trapezoidal Rule

    Lloyd N. Trefethen;J. A. C. Weideman

  • How fast are nonsymmetric matrix iterations

    Noël M. Nachtigal;Satish C. Reddy;Lloyd N. Trefethen

  • Numerical computation of the Schwarz-Christoffel transformation

    Lloyd N. Trefethen

  • Well-Posedness of one-way wave equations and absorbing boundary conditions

    Lloyd N Trefethen;Laurence Halpern

  • Computation of pseudospectra

    Lloyd N. Trefethen

  • Linearized pipe flow to Reynolds number 10 7

    Á Meseguer;L. N. Trefethen

  • An Extension of MATLAB to Continuous Functions and Operators

    Zachary Battles;Lloyd N. Trefethen

Frequent Co-Authors

Tobin A. Driscoll
Tobin A. Driscoll University of Delaware
Kim-Chuan Toh
Kim-Chuan Toh National University of Singapore
David Bau
David Bau Northeastern University
Randall J. LeVeque
Randall J. LeVeque University of Washington
Desmond J. Higham
Desmond J. Higham University of Edinburgh
Lothar Reichel
Lothar Reichel Kent State University
Nicholas J. Higham
Nicholas J. Higham University of Manchester
Robert Schreiber
Robert Schreiber Cerebras Systems
Albrecht Böttcher
Albrecht Böttcher Chemnitz University of Technology

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