World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
60
Citations
17782
World Ranking
549
National Ranking
44

Engineering and Technology

D-Index
62
Citations
19009
World Ranking
1854
National Ranking
119

Michael B. Giles 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 Michael B. Giles 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: 223 publications — 70th percentile

70% of scientists in this discipline score the same or lower.

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

Michael B. Giles 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 Michael B. Giles 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: 60 D-Index — 85th percentile

85% 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

  • 2018 - SIAM Fellow For contributions to numerical analysis and scientific computing, particularly concerning adjoint methods, stochastic simulation, and Multilevel Monte Carlo.
  • 2006 - IEEE Fellow For contributions to technology computer aided design (TCAD) modeling of processes and devices.
  • 2005 - SPIE Fellow

Overview

Michael B. Giles is affiliated with the University of Oxford in the United Kingdom. Their research spans fields including Economics, Econometrics and Finance, as well as Mathematics, with a particular focus on several subfields such as Finance, Computational Theory and Mathematics, Statistics and Probability, Statistical and Nonlinear Physics, and Computational Mechanics.

The scientist's work addresses topics related to stochastic processes and financial applications, numerical methods and algorithms, Markov chains and Monte Carlo methods, model reduction and neural networks, scientific research and discoveries, mathematical approximation and integration, and advanced numerical methods in computational mathematics.

Notable recent papers include:

  • "Adaptive Euler-Maruyama method for SDEs with nonglobally Lipschitz drift" (2020), published in The Annals of Applied Probability
  • "Advanced Drug Delivery Platforms for the Treatment of Oral Pathogens" (2022), published in Pharmaceutics
  • "Effects of round-to-nearest and stochastic rounding in the numerical solution of the heat equation in low precision" (2020), published in arXiv (Cornell University)
  • "Approximating Inverse Cumulative Distribution Functions to Produce Approximate Random Variables" (2023), published in ACM Transactions on Mathematical Software
  • "Multilevel and Quasi Monte Carlo Methods for the Calculation of the Expected Value of Partial Perfect Information" (2021), published in Medical Decision Making

Frequent co-authors include Wei Fang, Oliver Sheridan-Methven, Abdul-Lateef Haji-Ali, Matteo Croci, and Zhenru Wang.

Prominent publication venues where Michael B. Giles has contributed include:

  • arXiv (Cornell University)
  • The Annals of Applied Probability
  • SIAM Journal on Scientific Computing
  • SIAM/ASA Journal on Uncertainty Quantification
  • bioRxiv (Cold Spring Harbor Laboratory)

The scientist has been recognized with several awards, including the SIAM Fellow in 2018 for contributions to numerical analysis and scientific computing, specifically related to adjoint methods, stochastic simulation, and Multilevel Monte Carlo. Additional honors include the IEEE Fellow in 2006 for work in technology computer aided design modeling of processes and devices, and the SPIE Fellow title in 2005.

Best Publications

  • Multilevel Monte Carlo Path Simulation

    Michael B. Giles

  • Viscous-inviscid analysis of transonic and low Reynolds number airfoils

    Mark Drela;Michael B. Giles

  • An Introduction to the Adjoint Approach to Design

    Michael B. Giles;Niles A. Pierce

  • Nonreflecting boundary conditions for Euler equation calculations

    Michael B. Giles

  • Multilevel Monte Carlo methods

    Michael B. Giles

  • Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients

    K. A. Cliffe;M. B. Giles;R. Scheichl;A. L. Teckentrup

  • Adjoint methods for PDEs: a posteriori error analysis and postprocessing by duality

    Michael B. Giles;Endre Süli

  • Algorithm Developments for Discrete Adjoint Methods

    Michael B. Giles;Mihai C. Duta;Jens-Dominik Müller;Niles A. Pierce

  • Calculation of Unsteady Wake/Rotor Interaction

    Michael B. Giles

  • On the Utility of Graphics Cards to Perform Massively Parallel Simulation of Advanced Monte Carlo Methods

    Anthony Lee;Christopher Yau;Michael B. Giles;Arnaud Doucet

  • Adjoint Recovery of Superconvergent Functionals from PDE Approximations

    Niles A. Pierce;Michael B. Giles

  • Stator/rotor interaction in a transonic turbine

    Michael B. Giles

  • Adjoint equations in CFD: duality, boundary conditions and solution behaviour

    M. B. Giles;N. A. Pierce

  • Improved Multilevel Monte Carlo Convergence using the Milstein Scheme

    Michael Giles

  • Further analysis of multilevel Monte Carlo methods for elliptic PDEs with random coefficients

    A. L. Teckentrup;R. Scheichl;M. B. Giles;E. Ullmann

  • Two-Dimensional Transonic Aerodynamic Design Method

    Michael B. Giles;Mark Drela

  • Stability analysis of numerical interface conditions in fluid-structure thermal analysis

    M. B. Giles

  • Using GPUs to accelerate computational diffusion MRI: From microstructure estimation to tractography and connectomes.

    Moisés Hernández-Fernández;Moisés Hernández-Fernández;István Zoltan Reguly;Saâd Jbabdi;Michael B. Giles

  • Analytic adjoint solutions for the quasi-one-dimensional Euler equations

    Michael B. Giles;Niles A. Pierce

  • Adjoint and defect error bounding and correction for functional estimates

    Niles A. Pierce;Michael B. Giles

  • Edge-Based Multigrid and Preconditioning for Hybrid Grids

    Pierre Moinier;Jens-Dominik Muller;Michael B. Giles

Frequent Co-Authors

Niles A. Pierce
Niles A. Pierce California Institute of Technology
Robert Scheichl
Robert Scheichl Heidelberg University
Russell M. Cummings
Russell M. Cummings United States Air Force Academy
Endre Süli
Endre Süli University of Oxford
Ian H. Sloan
Ian H. Sloan University of New South Wales
Frances Y. Kuo
Frances Y. Kuo University of New South Wales
Stephen M. Smith
Stephen M. Smith University of Oxford
Saad Jbabdi
Saad Jbabdi University of Oxford

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