World's Best Scientists 2026 revealed!
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Mathematics
Switzerland
2022

D-Index & Metrics

Mathematics

D-Index
72
Citations
24129
World Ranking
242
National Ranking
13

Engineering and Technology

D-Index
72
Citations
24389
World Ranking
898
National Ranking
22

Jan S. Hesthaven 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 Jan S. Hesthaven 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: 332 publications — 89th percentile

89% of scientists in this discipline score the same or lower.

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

Jan S. Hesthaven 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 Jan S. Hesthaven 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: 72 D-Index — 93rd percentile

93% 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

  • 2022 - Research.com Mathematics in Switzerland Leader Award
  • 2014 - SIAM Fellow For advances in high-order numerical methods for partial differential equations and applications.
  • 2000 - Fellow of Alfred P. Sloan Foundation

Overview

Jan S. Hesthaven is affiliated with the Karlsruhe Institute of Technology in Germany. Their research spans across multiple disciplines within engineering and physics, with a particular focus on computational methods and numerical analysis.

The main fields of study for Jan S. Hesthaven include:

  • Engineering
  • Physics and Astronomy

Their work also covers a range of subfields such as:

  • Computational Mechanics
  • Statistical and Nonlinear Physics
  • Numerical Analysis
  • Biomedical Engineering
  • Mechanical Engineering

The primary topics of research engagement include:

  • Model Reduction and Neural Networks
  • Numerical methods for differential equations
  • Fluid Dynamics and Turbulent Flows
  • Advanced Numerical Methods in Computational Mathematics
  • Computational Fluid Dynamics and Aerodynamics
  • Probabilistic and Robust Engineering Design
  • Fluid Dynamics and Vibration Analysis

Recent publications authored or co-authored by Jan S. Hesthaven reflect these research areas and span several high-impact venues. Selected papers include:

  • "Physics-informed machine learning for reduced-order modeling of nonlinear problems," 2021, Journal of Computational Physics
  • "Recurrent neural network closure of parametric POD-Galerkin reduced-order models based on the Mori-Zwanzig formalism," 2020, Journal of Computational Physics
  • "Multi-fidelity regression using artificial neural networks: Efficient approximation of parameter-dependent output quantities," 2021, Computer Methods in Applied Mechanics and Engineering
  • "Reduced basis methods for time-dependent problems," 2022, Acta Numerica
  • "Simulation-based Anomaly Detection and Damage Localization: An application to Structural Health Monitoring," 2020, Computer Methods in Applied Mechanics and Engineering

Research collaborations frequently involve co-authors such as:

  • Nicolò Ripamonti
  • Cecilia Pagliantini
  • Federico Pichi
  • Finnur Pind
  • Allan Peter Engsig-Karup

The scientist has published extensively in journals and repositories including:

  • arXiv (Cornell University)
  • Journal of Computational Physics
  • Computer Methods in Applied Mechanics and Engineering
  • Zenodo (CERN European Organization for Nuclear Research)
  • The Journal of the Acoustical Society of America

Jan S. Hesthaven has been recognized with awards such as:

  • SIAM Fellow, 2014, for advances in high-order numerical methods for partial differential equations and applications
  • Fellow of Alfred P. Sloan Foundation, 2000

Best Publications

  • Nodal Discontinuous Galerkin Methods: Algorithms, Analysis, and Applications

    Jan S. Hesthaven;Tim Warburton

  • High-Order Collocation Methods for Differential Equations with Random Inputs

    Dongbin Xiu;Jan S. Hesthaven

  • SPECTRAL METHODS FOR TIME-DEPENDENT PROBLEMS.

    Jan S. Hesthaven;Sigal Gottlieb;David Gottlieb

  • Certified Reduced Basis Methods for Parametrized Partial Differential Equations

    Jan S. Hesthaven;Gianluigi Rozza;Benjamin Stamm

  • Nodal high-order methods on unstructured grids

    J. S. Hesthaven;T. Warburton

  • Non-intrusive reduced order modeling of nonlinear problems using neural networks

    Jan S. Hesthaven;Stefano Ubbiali;Stefano Ubbiali

  • Reduced Basis Approximation and A Posteriori Error Estimation for Parametrized Partial Differential Equations

    Jan S Hesthaven;Anthony T Patera

  • Nodal discontinuous Galerkin methods on graphics processors

    A. Klöckner;T. Warburton;J. Bridge;J. S. Hesthaven

  • Spectral methods for hyperbolic problems

    D. Gottlieb;J. S. Hesthaven

  • From Electrostatics to Almost Optimal Nodal Sets for Polynomial Interpolation in a Simplex

    J. S. Hesthaven

  • On the constants in hp-finite element trace inverse inequalities

    T. Warburton;Jan S. Hesthaven

  • Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations

    F. X. Giraldo;J. S. Hesthaven;T. Warburton

  • Non-intrusive reduced order modeling of unsteady flows using artificial neural networks with application to a combustion problem

    Qian Wang;Jan S. Hesthaven;Deep Ray

  • Reduced order modeling for nonlinear structural analysis using Gaussian process regression

    Mengwu Guo;Jan S. Hesthaven

  • Data-driven reduced order modeling for time-dependent problems

    Mengwu Guo;Jan S. Hesthaven

  • Fast Prediction and Evaluation of Gravitational Waveforms Using Surrogate Models

    Scott E. Field;Chad R. Galley;Jan S. Hesthaven;Jason Kaye

  • Physics-informed machine learning for reduced-order modeling of nonlinear problems

    Wenqian Chen;Wenqian Chen;Qian Wang;Jan S. Hesthaven;Chuhua Zhang

  • High-order nodal discontinuous Galerkin particle-in-cell method on unstructured grids

    G. B. Jacobs;J. S. Hesthaven

  • Application of implicit-explicit high order Runge-Kutta methods to discontinuous-Galerkin schemes

    Alex Kanevsky;Mark H. Carpenter;David Gottlieb;Jan S. Hesthaven

  • On the Analysis and Construction of Perfectly Matched Layers for the Linearized Euler Equations

    J.S. Hesthaven

  • Numerical Methods for Conservation Laws: From Analysis to Algorithms

    Jan S. Hesthaven

Frequent Co-Authors

David Gottlieb
David Gottlieb Brown University
Tim Warburton
Tim Warburton Virginia Tech
Yvon Maday
Yvon Maday Sorbonne University
Weihua Deng
Weihua Deng Lanzhou University
Gianluigi Rozza
Gianluigi Rozza International School for Advanced Studies
George Haller
George Haller ETH Zurich
Yan Liang
Yan Liang Brown University
George Em Karniadakis
George Em Karniadakis Brown University
Sergei K. Turitsyn
Sergei K. Turitsyn Aston University
Qing Huo Liu
Qing Huo Liu Eastern Institute of Technology, Ningbo

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