World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
61
Citations
28226
World Ranking
496
National Ranking
259

Björn Engquist 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 Björn Engquist 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: 192 publications — 59th percentile

59% of scientists in this discipline score the same or lower.

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

Björn Engquist 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 Björn Engquist 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: 61 D-Index — 86th percentile

86% 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

  • 2015 - Fellow of the American Academy of Arts and Sciences
  • 2010 - SIAM Fellow For contributions to numerical analysis and multiscale modeling.
  • 1991 - Fellow of John Simon Guggenheim Memorial Foundation

Overview

Björn Engquist is affiliated with The University of Texas at Austin in the United States. Their research spans multiple disciplines, primarily within Engineering and Computer Science. The focus areas include Computational Mechanics, Artificial Intelligence, Geophysics, Computational Theory and Mathematics, and Mechanics of Materials.

The main topics of Björn Engquist's work cover Advanced Mathematical Modeling in Engineering, Composite Material Mechanics, Advanced Numerical Methods in Computational Mathematics, Stochastic Gradient Optimization Techniques, Seismic Imaging and Inversion Techniques, Seismic Waves and Analysis, and Fluid Dynamics and Turbulent Flows.

The scientist has published research in various venues, with frequent publications in:

  • arXiv (Cornell University)
  • Communications in Mathematical Sciences
  • Oberwolfach Reports
  • Multiscale Modeling and Simulation
  • Communications on Pure and Applied Mathematics

Notable recent papers include:

  • Optimal Transport Based Seismic Inversion: Beyond Cycle Skipping (2021), published in Communications on Pure and Applied Mathematics
  • A new nonlinear viscoelastic model and mathematical solution of solids for improving prediction accuracy (2020), published in Scientific Reports
  • Effects of resolution inhomogeneity in large-eddy simulation (2021), published in Physical Review Fluids
  • Multiscale modeling, homogenization and nonlocal effects: Mathematical and computational issues (2020), published in Contemporary Mathematics - American Mathematical Society
  • Neural Inverse Operators for Solving PDE Inverse Problems (2023), published in arXiv (Cornell University)

Frequent co-authors collaborating with Björn Engquist include:

  • Yunan Yang
  • Kui Ren
  • Sean P. Carney
  • Robert Moser
  • Daniel Peterseim

Their work has been recognized by multiple awards, including:

  • Fellow of the American Academy of Arts and Sciences (2015)
  • SIAM Fellow (2010) for contributions to numerical analysis and multiscale modeling
  • Fellow of John Simon Guggenheim Memorial Foundation (1991)

Best Publications

  • Absorbing Boundary Conditions for Numerical Simulation of Waves

    Björn Engquist;Andrew Majda

  • Absorbing boundary conditions for the numerical simulation of waves

    Bjorn Engquist;Andrew Majda

  • Uniformly high order accurate essentially non-oscillatory schemes, 111

    Unknown

  • Absorbing boundary conditions for acoustic and elastic wave equations

    Robert Clayton;Björn Engquist

  • Uniformly high order accuracy essentially non-oscillatory schemes III

    Unknown

  • Radiation boundary conditions for acoustic and elastic wave calculations

    Bjorn Engquist;Andrew Majda

  • The Heterognous Multiscale Methods

    Weinan E;Bjorn Engquist

  • Heterogeneous multiscale methods: A review

    Weinan E;Bjorn Engquist;Xiantao Li;Weiqing Ren

  • The heterogeneous multiscale method

    Assyr Abdulle;Weinan E;Weinan E;Björn Engquist;Eric Vanden-Eijnden

  • One-sided difference approximations for nonlinear conservation laws

    Bj{örn Engquist;Stanley Osher

  • The Heterogeneous Multiscale Method: A Review

    Weinan E;Bjorn Engquist;Xiantao Li;Weiqing Ren

  • Some results on uniformly high-order accurate essentially nonoscillatory schemes

    Ami Harten;Stanley Osher;Björn Engquist;Sukumar R. Chakravarthy

  • Stable and entropy satisfying approximations for transonic flow calculations

    Bj{örn Engquist;Stanley Osher

  • Numerical approximations of singular source terms in differential equations

    Anna-Karin Tornberg;Björn Engquist

  • Heterogeneous multiscale method: A general methodology for multiscale modeling

    Weinan E;Bjorn Engquist;Zhongyi Huang

  • Computational high frequency wave propagation

    Björn Engquist;Olof Runborg

  • Application of optimal transport and the quadratic Wasserstein metric to full-waveform inversion

    Yunan Yang;Björn Engquist;Junzhe Sun;Brittany F. Hamfeldt

  • Discretization of Dirac delta functions in level set methods

    Björn Engquist;Anna-Karin Tornberg;Richard Tsai

  • Regular ArticleUniformly High Order Accurate Essentially Non-oscillatory Schemes, III

    Ami Harten;Bjorn Engquist;Stanley Osher;Sukumar R. Chakravarthy

  • Absorbing boundary conditions for wave-equation migration

    Robert W. Clayton;Björn Engquist

  • Sweeping Preconditioner for the Helmholtz Equation: Moving Perfectly Matched Layers

    Björn Engquist;Lexing Ying

  • Sweeping preconditioner for the Helmholtz equation: Hierarchical matrix representation

    Björn Engquist;Lexing Ying

Frequent Co-Authors

Lexing Ying
Lexing Ying Stanford University
Stanley Osher
Stanley Osher University of California, Los Angeles
Richard Tsai
Richard Tsai The University of Texas at Austin
Weinan E
Weinan E Princeton University
Louis J. Durlofsky
Louis J. Durlofsky Stanford University
Eric Vanden-Eijnden
Eric Vanden-Eijnden Courant Institute of Mathematical Sciences
Andrew J. Majda
Andrew J. Majda Courant Institute of Mathematical Sciences
Robert D. Moser
Robert D. Moser The University of Texas at Austin
Sergey Fomel
Sergey Fomel The University of Texas at Austin
Maša Prodanović
Maša Prodanović The University of Texas at Austin

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