World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
38
Citations
4791
World Ranking
2389
National Ranking
1002

Engineering and Technology

D-Index
40
Citations
5424
World Ranking
7432
National Ranking
2029

John N. Shadid 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 John N. Shadid 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: 148 publications — 37th percentile

37% of scientists in this discipline score the same or lower.

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

John N. Shadid 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 John N. Shadid 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: 38 D-Index — 37th percentile

37% 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

  • 2019 - THE THOMAS J.R. HUGHES MEDAL For outstanding and sustained contributions to large-scale parallel multiphysics CFD solution methods, HPC computing algorithms/software and numerical methods for coupled nonlinear PDEs.
  • 2018 - SIAM Fellow For contributions to solution methods for multiphysics systems, scalable parallel numerical algorithms, and numerical methods for strongly coupled nonlinear partial differential equations.

Overview

John N. Shadid is affiliated with Sandia National Laboratories in the United States. Their research output primarily focuses on engineering with a strong emphasis on computational mechanics. Their work spans several subfields, including computational theory and mathematics, numerical analysis, electrical and electronic engineering, and nuclear and high energy physics.

The main topics addressed in their publications cover advanced numerical methods in computational mathematics, computational fluid dynamics and aerodynamics, numerical methods for differential equations, electromagnetic simulation and numerical methods, advanced mathematical modeling in engineering, matrix theory and algorithms, and magnetic confinement fusion research.

Frequent co-authors in their research include Tan Bui-Thanh, Roger P. Pawlowski, Sidafa Conde, Ignacio Tomaš, and Michael Crockatt.

John N. Shadid has published regularly in venues such as:

  • arXiv (Cornell University)
  • Journal of Computational Physics
  • Computer Methods in Applied Mechanics and Engineering
  • SIAM Journal on Scientific Computing
  • Journal of Computational and Applied Mathematics

Selected recent papers include:

  • A multilevel approach for trace system in HDG discretizations, 2020, Journal of Computational Physics
  • Embedded pairs for optimal explicit strong stability preserving Runge-Kutta methods, 2022, Journal of Computational and Applied Mathematics
  • Matrix-free subcell residual distribution for Bernstein finite elements: Monolithic limiting, 2020, Computers & Fluids
  • A linearity preserving nodal variation limiting algorithm for continuous Galerkin discretization of ideal MHD equations, 2020, Journal of Computational Physics
  • An adaptive scalable fully implicit algorithm based on stabilized finite element for reduced visco-resistive MHD, 2022, Journal of Computational Physics

Their research has garnered recognition in the form of distinguished awards, such as the Thomas J.R. Hughes Medal in 2019, awarded for contributions to large-scale parallel multiphysics CFD solution methods, HPC computing algorithms/software, and numerical methods for coupled nonlinear partial differential equations. Additionally, they were named a SIAM Fellow in 2018 for their work on solution methods for multiphysics systems, scalable parallel numerical algorithms, and numerical methods addressing strongly coupled nonlinear partial differential equations.

Best Publications

  • Multiphysics simulations: Challenges and opportunities

    David E Keyes;Lois C Mcinnes;Carol Woodward;William Gropp

  • Block Preconditioners Based on Approximate Commutators

    Howard Elman;Victoria E. Howle;John Shadid;Robert Shuttleworth

  • Reduced-order modeling of time-dependent PDEs with multiple parameters in the boundary data

    Max D. Gunzburger;Janet S. Peterson;John N. Shadid

  • A taxonomy and comparison of parallel block multi-level preconditioners for the incompressible Navier-Stokes equations

    Howard Elman;V.E. Howle;John Shadid;Robert Shuttleworth

  • Three‐dimensional wideband electromagnetic modeling on massively parallel computers

    David L. Alumbaugh;Gregory A. Newman;Lydie Prevost;John N. Shadid

  • Stability of the SUPG finite element method for transient advection-diffusion problems

    Pavel B. Bochev;Max D. Gunzburger;John N. Shadid

  • Reaction Diffusion Modeling of Calcium Dynamics with Realistic ER Geometry

    Shawn Means;Alexander J. Smith;Jason Shepherd;John Shadid

  • Interplay of ryanodine receptor distribution and calcium dynamics

    Leighton T. Izu;Shawn A. Means;John N. Shadid;Ye Chen-Izu

  • A Taxonomy of Consistently Stabilized Finite Element Methods for the Stokes Problem

    Teri Barth;Pavel Bochev;Max Gunzburger;John Shadid

  • Towards a scalable fully-implicit fully-coupled resistive MHD formulation with stabilized FE methods

    J. N. Shadid;R. P. Pawlowski;J. W. Banks;L. Chacón

  • Studies on the accuracy of time-integration methods for the radiation-diffusion equations

    David L. Ropp;John N. Shadid;Curtis C. Ober

  • Stabilized shock hydrodynamics: I. A Lagrangian method

    G. Scovazzi;M. A. Christon;Thomas J Hughes;J. N. Shadid

  • An Inexact Newton Method for Fully Coupled Solution of the Navier-Stokes Equations with Heat and Mass Transport

    John N. Shadid;Ray S. Tuminaro;Homer F. Walker

  • Bifurcation and stability analysis of laminar isothermal counterflowing jets

    R. P. Pawlowski;A. G. Salinger;J. N. Shadid;T. J. Mountziaris

  • Globalization Techniques for Newton-Krylov Methods and Applications to the Fully Coupled Solution of the Navier-Stokes Equations

    Roger P. Pawlowski;John N. Shadid;Joseph P. Simonis;Homer F. Walker

  • Scalable implicit incompressible resistive MHD with stabilized FE and fully-coupled Newton–Krylov-AMG

    John N. Shadid;John N. Shadid;Roger P. Pawlowski;Eric C Cyr;Raymond S. Tuminaro

  • Fundamental models of the metalorganic vapor-phase epitaxy of gallium nitride and their use in reactor design

    R.P Pawlowski;R.P Pawlowski;C Theodoropoulos;A.G Salinger;T.J Mountziaris

  • A parallel block multi-level preconditioner for the 3D incompressible Navier--Stokes equations

    Howard C. Elman;Victoria E. Howle;John N. Shadid;Ray S. Tuminaro

  • Least Squares Preconditioners for Stabilized Discretizations of the Navier-Stokes Equations

    Howard Elman;Victoria E. Howle;John Shadid;David Silvester

  • A New Approximate Block Factorization Preconditioner for Two-Dimensional Incompressible (Reduced) Resistive MHD

    Eric C. Cyr;John N Shadid;Raymond S. Tuminaro;Roger P. Pawlowski

Frequent Co-Authors

Raymond S. Tuminaro
Raymond S. Tuminaro Sandia National Laboratories
Andrew G. Salinger
Andrew G. Salinger Sandia National Laboratories
Howard C. Elman
Howard C. Elman University of Maryland, College Park
Max D. Gunzburger
Max D. Gunzburger Florida State University
Richard B. Lehoucq
Richard B. Lehoucq Sandia National Laboratories
Pavel B. Bochev
Pavel B. Bochev Sandia National Laboratories
William D. Henshaw
William D. Henshaw Rensselaer Polytechnic Institute
Lorenz T. Biegler
Lorenz T. Biegler Carnegie Mellon University
Haim Waisman
Haim Waisman Columbia University
Guglielmo Scovazzi
Guglielmo Scovazzi Duke University

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