World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
44
Citations
14559
World Ranking
1533
National Ranking
660

Engineering and Technology

D-Index
44
Citations
15245
World Ranking
5672
National Ranking
1579

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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