World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
44
Citations
14559
World Ranking
1533
National Ranking
661

Engineering and Technology

D-Index
44
Citations
15245
World Ranking
5674
National Ranking
1580

Richard B. Lehoucq 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 Richard B. Lehoucq 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: 126 publications — 24th percentile

24% of scientists in this discipline score the same or lower.

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

Richard B. Lehoucq 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 Richard B. Lehoucq 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: 44 D-Index — 58th percentile

58% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Overview

Richard B. Lehoucq is affiliated with Sandia National Laboratories in the United States. Their research primarily spans the field of Computer Science, with notable contributions in several subfields including Molecular Biology, Computational Mathematics, Computer Vision and Pattern Recognition, Statistics, Probability and Uncertainty, and Computational Mechanics.

The scientist's work covers a range of topics, notably:

  • Tensor decomposition and applications
  • Gene Regulatory Network Analysis
  • Probabilistic and Robust Engineering Design
  • Sparse and Compressive Sensing Techniques
  • Advanced Neural Network Applications
  • Advanced Multi-Objective Optimization Algorithms
  • Nuclear reactor physics and engineering

Several recent papers illustrate the scope of their research contributions. These include:

  • "Inferring Stochastic Rates from Heterogeneous Snapshots of Particle Positions," published in 2024 in Bulletin of Mathematical Biology
  • "A Stochastic Calculus Approach to Boltzmann Transport," published in 2024 in Nuclear Science and Engineering
  • "Zero-truncated Poisson regression for sparse multiway count data corrupted by false zeros," published in 2023 in Information and Inference A Journal of the IMA
  • "Zero-Truncated Poisson Regression for Sparse Multiway Count Data Corrupted by False Zeros," published in 2022 in arXiv (Cornell University)
  • "A Deterministic Hitting-Time Moment Approach to Seed-set Expansion over a Graph," published in 2020 in arXiv (Cornell University)

Frequent publication venues for Richard B. Lehoucq include:

  • arXiv (Cornell University)
  • Bulletin of Mathematical Biology
  • Nuclear Science and Engineering
  • Information and Inference A Journal of the IMA
  • OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)

Collaborations have been a significant aspect of their research activities. Frequent co-authors include:

  • Scott A. McKinley
  • Óscar López
  • Daniel Dunlavy
  • Christopher E. Miles
  • Fangyuan Ding

Best Publications

  • ARPACK Users' Guide: Solution of Large-Scale Eigenvalue Problems with Implicitly Restarted Arnoldi Methods

    R. B. Lehoucq;D. C. Sorensen;C. Yang

  • An overview of the Trilinos project

    Michael A. Heroux;Roscoe A. Bartlett;Vicki E. Howle;Robert J. Hoekstra

  • Peridynamic Theory of Solid Mechanics

    S.A. Silling;R.B. Lehoucq

  • Deflation Techniques for an Implicitly Restarted Arnoldi Iteration

    R. B. Lehoucq;D. C. Sorensen

  • Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints

    Qiang Du;Max D. Gunzburger;Richard B. Lehoucq;Kun Zhou

  • Convergence of Peridynamics to Classical Elasticity Theory

    S. A. Silling;R. B. Lehoucq

  • A NONLOCAL VECTOR CALCULUS, NONLOCAL VOLUME-CONSTRAINED PROBLEMS, AND NONLOCAL BALANCE LAWS

    Qiang Du;Max Gunzburger;R. B. Lehoucq;Kun Zhou

  • An overview of Trilinos.

    Kevin R. Long;Raymond Stephen Tuminaro;Roscoe Ainsworth Bartlett;Robert John Hoekstra

  • Implementing peridynamics within a molecular dynamics code

    Michael L. Parks;Richard B. Lehoucq;Steven J. Plimpton;Stewart A. Silling

  • Peridynamics for multiscale materials modeling

    E Askari;F Bobaru;R B Lehoucq;M L Parks

  • An Automated Multilevel Substructuring Method for Eigenspace Computation in Linear Elastodynamics

    Jeffrey K. Bennighof;R. B. Lehoucq

  • On the Finite Element Solution of the Pure Neumann Problem

    Pavel Bochev;R. B. Lehoucq

  • A Nonlocal Vector Calculus with Application to Nonlocal Boundary Value Problems

    Max D. Gunzburger;Richard B. Lehoucq

  • Peridynamics as an Upscaling of Molecular Dynamics

    Pablo Seleson;Michael L. Parks;Max D. Gunzburger;Richard B. Lehoucq

  • Force flux and the peridynamic stress tensor

    Richard B. Lehoucq;Stewart Andrew Silling

  • Implicitly Restarted Arnoldi Methods and Subspace Iteration

    R. B. Lehoucq

  • Using Generalized Cayley Transformations within an Inexact Rational Krylov Sequence Method

    R. B. Lehoucq;Karl Meerbergen

  • Analysis and implementation of an implicitly restarted Arnoldi iteration

    Richard Bruno Lehoucq

  • A comparison of eigensolvers for large‐scale 3D modal analysis using AMG‐preconditioned iterative methods

    Peter Arbenz;Ulrich L. Hetmaniuk;Richard B. Lehoucq;Raymond S. Tuminaro

  • Anasazi software for the numerical solution of large-scale eigenvalue problems

    C. G. Baker;U. L. Hetmaniuk;R. B. Lehoucq;H. K. Thornquist

  • Compatible spatial discretizations

    Douglas N. Arnold;Pavel B. Bochev;Richard B. Lehoucq;Roy A. Nicolaides

Frequent Co-Authors

Stewart Andrew Silling
Stewart Andrew Silling Sandia National Laboratories
Max D. Gunzburger
Max D. Gunzburger Florida State University
Andrew G. Salinger
Andrew G. Salinger Sandia National Laboratories
Pavel B. Bochev
Pavel B. Bochev Sandia National Laboratories
Qiang Du
Qiang Du Columbia University
Steven J. Plimpton
Steven J. Plimpton Sandia National Laboratories
Raymond S. Tuminaro
Raymond S. Tuminaro Sandia National Laboratories
John N. Shadid
John N. Shadid Sandia National Laboratories
Santiago Badia
Santiago Badia Monash University
Danny C. Sorensen
Danny C. Sorensen Rice University

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