William Henshaw

Margaret A. Darrin Distinguished Professor in Applied Mathematics

About

Dr. Henshaw is the Margaret A. Darrin Distinguished Professor in Applied Mathematics at Rensselaer Polytechnic Institute.  He earned his B.Math. from the University of Waterloo and Ph.D. in Applied Mathematics from the California Institute of Technology under the supervision of Professor Heinz-Otto Kreiss.  Dr. Henshaw has worked at the IBM T.J. Watson Research Centre, Los Alamos National Laboratory and Lawrence Livermore National Laboratory.  His research interests lie in area of the numerical solution of partial differential equations and in techniques for overlapping grids.  He has worked on the development of stable and accurate algorithms and boundary conditions for the solution of PDEs on overlapping grids including development of adaptive mesh refinement methods, multigrid algorithms, grid generation algorithms, moving grid techniques, multi-domain methods for conjugate heat transfer and fluid structure interactions as well as high-order accurate methods for incompressible flows and Maxwell's equations.  Dr. Henshaw is the primary developer of Overture, an object oriented framework for the solution of PDEs on overlapping grids, www.overtureFramework.org.

Education & Training

Ph.D. Applied Mathematics, California Institute of Technology, Pasadena, California, 1985

B. Math (Hons) Majoring in Applied Math and Computer Science, University of Waterloo, Waterloo, Ontario, Canada, 1985

Research

Electromagnetics Solver
Primary Research Focus
Numerical Methods for Partial Differential Equations
Other Focus Areas

Numerical methods for PDEs, adaptive and overlapping grids, incompressible and compressible flows, fluid-structure interactions, solid mechanics and electromagnetics, high-order accurate methods, Overture framework http://www.OvertureFramework.org

Publications

The following is a selection of recent publications in Scopus. William Henshaw has 96 indexed publications in the subjects of Mathematics, Physics and Astronomy, Computer Science.

Chang Liu, William Henshaw
Journal of Scientific Computing
, 94
, 2023
.
J. W. Banks, W. D. Henshaw, A. Newell, D. W. Schwendeman
Journal of Computational Physics
, 488
, 2023
.
Jordan B. Angel, Jeffrey W. Banks, Allison M. Carson, William D. Henshaw
2023 International Applied Computational Electromagnetics Society Symposium, ACES-Monterey 2023
, 2023
.
J. B. Angel, J. W. Banks, A. M. Carson, W. D. Henshaw
SIAM Journal on Scientific Computing
, 45
, 2023
, pp.A2703-A2724
.
Nour G. Al Hassanieh, Jeffrey W. Banks, William D. Henshaw, Donald W. Schwendeman
SIAM Journal on Scientific Computing
, 44
, 2022
, pp.A3645-A3672
.
Qing Xia, Jeffrey W. Banks, William D. Henshaw, Alexander V. Kildishev, Gregor Kovačič, Ludmila J. Prokopeva, Donald W. Schwendeman
Journal of Computational Physics
, 456
, 2022
.
Qing Xia, Jeffrey W. Banks, William D. Henshaw, Alexander V. Kildishev, Gregor Kovacic, Ludmila J. Prokopeva, Donald W. Schwendeman
2021 International Applied Computational Electromagnetics Society Symposium, ACES 2021
, 2021
.
Omer Yesilyurt, William D. Henshaw, Ludmila J. Prokopeva, Samuel Peana, James Lawrence Stewart, Alexander V. Kildishev
2021 International Applied Computational Electromagnetics Society Symposium, ACES 2021
, 2021
.
Omer Yesilyurt, William D. Henshaw, Ludmila J. Prokopeva, Samuel Peana, James Lawrence Stewart, Alexander V. Kildishev
2021 International Applied Computational Electromagnetics Society Symposium, ACES 2021
, 2021
.
Jeffrey W. Banks, Benjamin B. Buckner, William D. Henshaw, Alexander V. Kildishev, Gregor Kovacic, Ludmila J. Prokopeva, Donald W. Schwendeman
2020 International Applied Computational Electromagnetics Society Symposium, ACES-Monterey 2020
, 2020
.

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