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Mathematics
USA
2026

D-Index & Metrics

Mathematics

D-Index
81
Citations
42379
World Ranking
132
National Ranking
75

Bernardo Cockburn 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 Bernardo Cockburn 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: 228 publications — 72nd percentile

72% of scientists in this discipline score the same or lower.

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

Bernardo Cockburn 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 Bernardo Cockburn 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: 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

Overview

Bernardo Cockburn is affiliated with the University of Minnesota in the United States. Their research spans several interconnected fields primarily within engineering and mathematics, with a focus on advanced numerical methods and computational mathematics.

The main fields of study for Cockburn include:

  • Engineering
  • Mathematics

Within these broader areas, Cockburn's work concentrates on subfields such as:

  • Computational Mechanics
  • Numerical Analysis
  • Electrical and Electronic Engineering
  • Computational Theory and Mathematics
  • Mechanics of Materials

The scientist's research topics cover a variety of specialized domains, including:

  • Advanced Numerical Methods in Computational Mathematics
  • Numerical methods for differential equations
  • Electromagnetic Simulation and Numerical Methods
  • Advanced Mathematical Modeling in Engineering
  • Numerical methods in engineering
  • Differential Equations and Numerical Methods
  • Computational Fluid Dynamics and Aerodynamics

Bernardo Cockburn has a publication record that includes notable recent papers such as:

  • Hybridizable discontinuous Galerkin methods for second-order elliptic problems: overview, a new result and open problems (2023), published in Japan Journal of Industrial and Applied Mathematics
  • The pursuit of a dream, Francisco Javier Sayas and the HDG methods (2021), published in SeMA Journal

While Cockburn has collaborated closely with several researchers, frequent coauthors include:

  • Manuel A. Sánchez
  • Shukai Du
  • Shiqiang Xia
  • Ngoc Cuong Nguyen
  • J. Peraire

Some of the preferred venues for publishing Cockburn's work are:

  • arXiv (Cornell University)
  • Computer Methods in Applied Mechanics and Engineering
  • Journal of Computational Physics
  • IMA Journal of Numerical Analysis
  • Japan Journal of Industrial and Applied Mathematics

Best Publications

  • Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems

    Douglas N. Arnold;Franco Brezzi;Bernardo Cockburn;L. Donatella Marini

  • The Runge-Kutta Discontinuous Galerkin Method for Conservation Laws V

    Bernardo Cockburn;Chi-Wang Shu

  • The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems

    Bernardo Cockburn;Chi-Wang Shu

  • TVB Runge-Kutta local projection discontinuous galerkin finite element method for conservation laws. II: General framework

    Bernardo Cockburn;Chi Wang Shu

  • The Development of Discontinuous Galerkin Methods

    Bernardo Cockburn;George E. Karniadakis;Chi-Wang Shu

  • Runge-Kutta discontinuous Galerkin methods for convection-dominated problems

    Bernardo Cockburn;Chi-Wang Shu

  • TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: one-dimensional systems

    B. Cockburn;S.-Y. Lin;C.-W. Shu

  • The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. IV. The multidimensional case

    Bernardo Cockburn;Bernardo Cockburn;Suchung Hou;Suchung Hou;Chi Wang Shu;Chi Wang Shu

  • Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems

    Bernardo Cockburn;Jayadeep Gopalakrishnan;Raytcho Lazarov

  • Discontinuous Galerkin Methods: Theory, Computation and Applications

    Bernardo Cockburn;George E. Karniadakis;Chi-Wang Shu

  • The Runge-Kutta local projection $P^1$ -discontinuous-Galerkin finite element method for scalar conservation laws

    Bernardo Cockburn;Chi-Wang Shu

  • Discontinuous Galerkin methods

    Bernardo Cockburn

  • An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems

    Paul Castillo;Bernardo Cockburn

  • Discontinuous Galerkin Methods for Convection-Dominated Problems

    Bernardo Cockburn

  • A locally conservative LDG method for the incompressible Navier-Stokes equations

    Bernardo Cockburn;Guido Kanschat;Dominik Schötzau

  • An implicit high-order hybridizable discontinuous Galerkin method for nonlinear convection-diffusion equations

    N. C. Nguyen;J. Peraire;B. Cockburn

  • Superconvergence of the Local Discontinuous Galerkin Method for Elliptic Problems on Cartesian Grids

    Bernardo Cockburn;Guido Kanschat;Ilaria Perugia;Dominik Schötzau

  • Locally divergence-free discontinuous Galerkin methods for the Maxwell equations

    Bernardo Cockburn;Fengyan Li;Chi-Wang Shu

  • Advanced Numerical Approximation of Nonlinear Hyperbolic Equations

    Unknown

  • Local Discontinuous Galerkin Methods for the Stokes System

    Bernardo Cockburn;Guido Kanschat;Dominik Schötzau;Christoph Schwab

  • An introduction to the Discontinuous Galerkin method for convection-dominated problems

    Bernardo Cockburn

Frequent Co-Authors

Chi-Wang Shu
Chi-Wang Shu Brown University
Dominik Schötzau
Dominik Schötzau University of British Columbia
Johnny Guzmán
Johnny Guzmán Brown University
Zhangxin Chen
Zhangxin Chen University of Calgary
Eric T. Chung
Eric T. Chung Chinese University of Hong Kong
Endre Süli
Endre Süli University of Oxford
Clint Dawson
Clint Dawson The University of Texas at Austin
Franco Brezzi
Franco Brezzi National Research Council (CNR)
Patrick Joly
Patrick Joly École Nationale Supérieure de Techniques Avancées

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