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Mathematics

D-Index
38
Citations
4503
World Ranking
2398
National Ranking
1005

Overview

William D. Henshaw is affiliated with Rensselaer Polytechnic Institute in the United States. Their research primarily focuses on engineering, with significant contributions in computational mechanics, electrical and electronic engineering, numerical analysis, atomic and molecular physics, and optics, as well as computational theory and mathematics.

The scientist's work covers topics within advanced numerical methods in computational mathematics, electromagnetic simulation and numerical methods, numerical methods for differential equations, computational fluid dynamics and aerodynamics, electromagnetic scattering and analysis, differential equations and numerical methods, and plasmonic and surface plasmon research.

Frequent coauthors who have collaborated extensively with Henshaw include Jeffrey W. Banks, Donald W. Schwendeman, Alexander V. Kildishev, Ludmila J. Prokopeva, and Daniel Appelö.

Henshaw has published extensively in several venues, including:

  • arXiv (Cornell University)
  • Journal of Computational Physics
  • SIAM Journal on Scientific Computing
  • 2020 International Applied Computational Electromagnetics Society Symposium (ACES)
  • 2021 International Applied Computational Electromagnetics Society Symposium (ACES)

Notable recent papers authored or coauthored by Henshaw include:

  • Fourth-order accurate fractional-step IMEX schemes for the incompressible Navier-Stokes equations on moving overlapping grids (2020), published in Computer Methods in Applied Mechanics and Engineering
  • A high-order accurate scheme for Maxwell's equations with a Generalized Dispersive Material (GDM) model and material interfaces (2020), published in Journal of Computational Physics
  • Solving for hydroelastic ship response using Timoshenko beam modes at forward speed (2024), published in Ocean Engineering
  • High-order accurate schemes for Maxwell's equations with nonlinear active media and material interfaces (2022), published in Journal of Computational Physics
  • Local Compatibility Boundary Conditions for High-Order Accurate Finite-Difference Approximations of PDEs (2022), published in SIAM Journal on Scientific Computing

Best Publications

  • Composite overlapping meshes for the solution of partial differential equations

    G. Chesshire;W. D. Henshaw

  • A Fourth-Order Accurate Method for the Incompressible Navier-Stokes Equations on Overlapping Grids

    William D. Henshaw

  • Summing logarithmic expansions for singularly perturbed eigenvalue problems

    Michael J. Ward;William D. Henshaw;Joseph B. Keller

  • Moving overlapping grids with adaptive mesh refinement for high-speed reactive and non-reactive flow

    William D. Henshaw;Donald W. Schwendeman

  • A composite grid solver for conjugate heat transfer in fluid-structure systems

    William D. Henshaw;Kyle K. Chand

  • An analysis of a new stable partitioned algorithm for FSI problems. Part I: Incompressible flow and elastic solids

    Jeffrey W. Banks;William D. Henshaw;Donald W. Schwendeman

  • Overture: an object-oriented software system for solving partial differential equations in serial and parallel environments

    David L. Brown;Geoffrey S. Chesshire;William D. Henshaw;Daniel J. Quinlan

  • An adaptive numerical scheme for high-speed reactive flow on overlapping grids

    William D. Henshaw;Donald W. Schwendeman

  • Parallel computation of three-dimensional flows using overlapping grids with adaptive mesh refinement

    William D. Henshaw;Donald W. Schwendeman

  • A scheme for conservative interpolation on overlapping grids

    G. Chesshire;W. D. Henshaw

  • A high-resolution Godunov method for compressible multi-material flow on overlapping grids

    J. W. Banks;D. W. Schwendeman;A. K. Kapila;W. D. Henshaw

  • Numerical Investigation of Energy Extraction in a Tandem Flapping Wing Configuration

    Timothy M. Broering;Yongsheng Lian;William Henshaw

  • Modeling, mesh generation, and adaptive numerical methods for partial differential equations

    Ivo Babuska;William D. Henshaw;Joseph E. Oliger;Joseph E. Flaherty

  • A High-Order Accurate Parallel Solver for Maxwell’s Equations on Overlapping Grids

    William D. Henshaw

  • A study of detonation diffraction in the ignition-and-growth model

    A. K. Kapila;D. W. Schwendeman;J. B. Bdzil;W. D. Henshaw

  • NUMERICAL SHOCK PROPAGATION USING GEOMETRICAL SHOCK DYNAMICS

    W D Henshaw;Noel Smyth;D W Schwendeman

  • Collision-induced two-ion chaos

    R. G. Brewer;J. Hoffnagle;R. G. DeVoe;L. Reyna

  • Overture: An Object-Oriented Framework for Solving Partial Differential Equations

    David L. Brown;William D. Henshaw;Daniel J. Quinlan

  • A fourth-order-accurate difference approximation for the incompressible Navier-Stokes equations☆

    William D. Henshaw;Heinz-Otto Kreiss;Luis G.M. Reyna

  • On the smallest scale for the incompressible Navier-Stokes equations

    W. D. Henshaw;H. O. Kreiss;L. G. Reyna

Frequent Co-Authors

Alexander V. Kildishev
Alexander V. Kildishev Purdue University West Lafayette
Tobin A. Driscoll
Tobin A. Driscoll University of Delaware
John N. Shadid
John N. Shadid Sandia National Laboratories
Evan J. Reed
Evan J. Reed Stanford University
Heinz-Otto Kreiss
Heinz-Otto Kreiss Royal Institute of Technology
Laurence E. Fried
Laurence E. Fried Lawrence Livermore National Laboratory
Manyalibo J. Matthews
Manyalibo J. Matthews Lawrence Livermore National Laboratory
Douglas H. Werner
Douglas H. Werner Pennsylvania State University
John E. Hopcroft
John E. Hopcroft Cornell University

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