World's Best Scientists 2026 revealed!
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Mathematics
USA
2026

D-Index & Metrics

Mathematics

D-Index
81
Citations
25681
World Ranking
138
National Ranking
79

Andrew M. Stuart 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 Andrew M. Stuart 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: 327 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.

Andrew M. Stuart 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 Andrew M. Stuart 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: 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

  • 2026 - Research.com Mathematics in United States Leader Award
  • 2025 - Research.com Mathematics in United States Leader Award
  • 2020 - Fellow of the Royal Society, United Kingdom
  • 2009 - SIAM Fellow For contributions to deterministic and stochastic dynamical computations.

Overview

Andrew M. Stuart is affiliated with the California Institute of Technology in the United States. Their primary field of study is Computer Science, with considerable research focused on Artificial Intelligence, Statistical and Nonlinear Physics, Statistics and Probability, Computational Theory and Mathematics, and Statistics, Probability and Uncertainty.

The scientist's main topics of work include:

  • Gaussian Processes and Bayesian Inference
  • Model Reduction and Neural Networks
  • Probabilistic and Robust Engineering Design
  • Neural Networks and Applications
  • Advanced Mathematical Modeling in Engineering
  • Markov Chains and Monte Carlo Methods
  • Composite Material Mechanics

Andrew M. Stuart has contributed extensively to scholarly publications, particularly in venues such as:

  • arXiv (Cornell University)
  • Journal of Computational Physics
  • Inverse Problems
  • SIAM Journal on Applied Dynamical Systems
  • SIAM Journal on Scientific Computing

Some of the recent papers authored or co-authored by Andrew M. Stuart include:

  • "Fourier Neural Operator for Parametric Partial Differential Equations," 2020, arXiv (Cornell University)
  • "Interacting Langevin Diffusions: Gradient Structure and Ensemble Kalman Sampler," 2020, The Caltech Institute Archives (California Institute of Technology)
  • "Multipole Graph Neural Operator for Parametric Partial Differential Equations," 2020, arXiv (Cornell University)
  • "Neural Operator: Graph Kernel Network for Partial Differential Equations," 2020, arXiv (Cornell University)
  • "Calibrate, emulate, sample," 2020, Journal of Computational Physics

The scientist's frequent co-authors include:

  • Nikola Kovachki
  • Kaushik Bhattacharya
  • Burigede Liu
  • Daniel Sanz-Alonso
  • Tapio Schneider

Andrew M. Stuart has received awards recognizing their contributions in computational and applied mathematics, including being named a Fellow of the Royal Society, United Kingdom, in 2020 and a SIAM Fellow in 2009 for contributions to deterministic and stochastic dynamical computations.

Best Publications

  • Inverse problems: A Bayesian perspective

    Andrew M. Stuart

  • Fourier Neural Operator for Parametric Partial Differential Equations

    Zongyi Li;Nikola Borislavov Kovachki;Kamyar Azizzadenesheli;Burigede liu

  • Multiscale Methods: Averaging and Homogenization

    Grigorios A. Pavliotis;Andrew M. Stuart

  • Dynamical systems and numerical analysis

    A. M. Stuart;A. R. Humphries

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

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

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

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

  • MCMC Methods for Functions: Modifying Old Algorithms to Make Them Faster

    Simon L. Cotter;Gareth O. Roberts;A. M. Stuart;David White

  • The Bayesian Approach to Inverse Problems

    Masoumeh Dashti;Andrew M. Stuart

  • Ensemble Kalman methods for inverse problems

    Marco A Iglesias;Kody J H Law;Andrew M Stuart

  • Extracting macroscopic dynamics: model problems and algorithms

    Dror Givon;Raz Kupferman;Andrew Stuart

  • Neural Operator: Graph Kernel Network for Partial Differential Equations

    Zongyi Li;Nikola B. Kovachki;Kamyar Azizzadenesheli;Burigede Liu

  • The global dynamics of discrete semilinear parabolic equations

    C. M. Elliott;A. M. Stuart

  • Optimal tuning of the hybrid Monte Carlo algorithm

    Alexandros Beskos;Natesh S. Pillai;Gareth O. Roberts;Jesus M. Sanz-Serna

  • Earth System Modeling 2.0: A Blueprint for Models That Learn From Observations and Targeted High‐Resolution Simulations

    Tapio Schneider;Shiwei Lan;Andrew Stuart;João Teixeira

  • A First Course in Continuum Mechanics

    Oscar Gonzalez;Andrew M. Stuart

  • Model Reduction and Neural Networks for Parametric PDEs

    Kaushik Bhattacharya;Bamdad Hosseini;Nikola B. Kovachki;Andrew M. Stuart

  • Data Assimilation: A Mathematical Introduction

    Kody Law;Andrew Stuart;Konstantinos Zygalakis

  • A model mechanism for the chemotactic response of endothelial cells to tumour angiogenesis factor

    M. A. J. Chaplain;A. M. Stuart

  • MCMC methods for diffusion bridges

    Alexandros Beskos;Gareth Roberts;Andrew Stuart;Jochen Voss

  • Spectral gaps for a Metropolis–Hastings algorithm in infinite dimensions

    Martin Hairer;Andrew M. Stuart;Sebastian J. Vollmer

  • The Ensemble Kalman Filter for Inverse Problems

    Marco A. Iglesias;Kody J.H. Law;Andrew M. Stuart

  • Multipole Graph Neural Operator for Parametric Partial Differential Equations

    Zongyi Li;Nikola B. Kovachki;Kamyar Azizzadenesheli;Burigede Liu

Frequent Co-Authors

Grigorios A. Pavliotis
Grigorios A. Pavliotis Imperial College London
Gareth O. Roberts
Gareth O. Roberts University of Warwick
Martin Hairer
Martin Hairer Imperial College London
Mark Girolami
Mark Girolami University of Cambridge
Charles M. Elliott
Charles M. Elliott University of Warwick
Jonathan C. Mattingly
Jonathan C. Mattingly Duke University
Tapio Schneider
Tapio Schneider California Institute of Technology
George Hripcsak
George Hripcsak Columbia University
Andrea L. Bertozzi
Andrea L. Bertozzi University of California, Los Angeles

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