Faculty

Institution

Unit

Venue

William Henshaw

Margaret A Darrin Distinguished Professor in Applied Mathematics

Rensselaer Polytechnic Institute

Affiliations

School of Science

Mathematical Sciences Department

Center for Modeling, Optimization and Computational Analysis

Office for Research

Center for Computational Innovations

William Henshaw is currently serving as a Mathematical Sciences Margaret A Darrin Distinguished Professor in Applied Mathematics at Rensselaer Polytechnic Institute.

Honors

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Experiences

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Education

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William Henshaw

Rensselaer Polytechnic Institute

Margaret A Darrin Distinguished Professor in Applied Mathematics

You can click a keyword to filter the displayed items

applied mathematics numerical analysis numerical simulations scientific computing computational fluid dynamics numerical method for partial differential equation partial differential equations fluid dynamics fluid mechanics numerical mathematics numerical algorithms engineering computational mechanics fluid flow grid system boundary value problems unstructured mesh generation computer engineering computational engineering incompressible flow shock waves fluid-structure interaction computational geometry grid applications mesh optimization mathematics finite element methods nonlinear phenomena ocular surface method of fundamental solution shock compression detonation phenomenon boundary element methods numerical computation overset grids mechanics semi-implicit method ocular surface physiology overlapping grids computer-aided design high-frequency approximation nonlinear analysis compressible flows grid network fluid-solid interactions grid computing structured grids tear film dynamics difference equations mesh reduction hyperbolic conservation laws overture framework fluid science object-oriented programming biofluid dynamics unsteady flows rigid bodies structural optimization multibody system dynamic grid optimization geometry generation gas dynamics incompressible navier-stokes equations elastic solids detonation diffraction adaptive mesh refinement wave equation heat transfer process aeroelasticity object-oriented design object-oriented modeling conjugate heat transfer object-oriented framework component grids navier-stokes equations undergoes diffraction

Notable Scholarly Works

Notable Federal Grants

Collaborators

High Order Accurate Hermite Schemes on Curvilinear Grids With Compatibility Boundary Conditions. Journal of Computational Physics (2024)

Allen Alvarez LoyaDaniel AppelöWilliam D. Henshaw

numerical simulationsapproximation theorynumerical computationnumerical algorithmsboundary value problemscurvilinear gridsapplied mathematicscompatibility boundary conditionsmathematicsnumerical analysiscomputational electromagneticsmethod of fundamental solution

High-Order Accurate Implicit-Explicit Time-Stepping Schemes for Wave Equations on Overset Grids. Journal of Computational Physics (2024)

Allison M. CarsonJeffrey W. BanksWilliam D. HenshawDonald W. Schwendeman

partial differential equationsnumerical simulationswave nonlinearitycomputational mathematicshigh-frequency approximationwave propagationnumerical computationsemi-implicit methodscientific computingcomputer engineeringnumerical algorithmsnumerical mathematicsoverset gridsapplied mathematicsnumerical analysisnumerical method for partial differential equationwave equations

Solving for Hydroelastic Ship Response Using Timoshenko Beam Modes at Forward Speed. Ocean Engineering (2024)

Baoshun ZhouMostafa Amini-AfsharHarry B. BinghamYanlin ShaoWilliam D. Henshaw

naval architecturefluid dynamicsapplied mathematicsfluid mechanicsmarine structureshydroelastic ship responsemarine engineeringnumerical analysisship maneuveringocean engineeringlarge ship hullscomputational fluid dynamicsaerospace engineeringhydroelasticitymarine hydrodynamicsship designship resistancemotion responseoffshore mechanics

Efficient Upwind Finite-Difference Schemes for Wave Equations on Overset Grids. SIAM Journal on Scientific Computing (2023)

J. B. AngelJ. W. BanksA. M. CarsonW. D. Henshaw

partial differential equationsnumerical simulationscomputational engineeringcomputational mathematicsnumerical computationnew schemescientific computingnumerical algorithmsnumerical mathematicsnumerical method for partial differential equationoverset gridsfinite element methodsapplied mathematicsnumerical analysisaerospace engineeringwave equations

Efficient Upwind Schemes for Linear and Nonlinear Dispersive Maxwell's Equations on Overset Grids. 2020 International Applied Computational Electromagnetics Society Symposium (ACES) (2023)

Jordan B. AngelJeffrey W. BanksAllison M. CarsonWilliam D. Henshaw

partial differential equationsnumerical simulationsefficient upwind schemesengineeringwave nonlinearityhigh-frequency approximationoverlapping gridselectromagnetic wavesscientific computingnumerical algorithmsnumerical mathematicsoverset gridsboundary value problemsapplied mathematicsnumerical analysisnumerical method for partial differential equationcomputational electromagneticselectromagnetic fields

Fractional-Step Finite Difference Schemes for Incompressible Elasticity on Overset Grids. Journal of Computational Physics (2023)

J.W. BanksW.D. HenshawA. NewellD.W. Schwendeman

partial differential equationsnumerical simulationsapplied mathematicsdifference equationsincompressible flowmechanical engineeringcomputational fluid dynamicsnumerical mathematicsoverset gridsboundary element methodsboundary value problemsfinite element methodscomputational mechanicsnumerical analysisnumerical method for partial differential equation

Multigrid With Nonstandard Coarse-Level Operators and Coarsening Factors. Journal of Scientific Computing (2023)

Chang LiuWilliam Henshaw

multiscale modelingcomputational mathematicsscientific computingspectral theorycoarsening factorsnumerical algorithmsnumerical mathematicsfinite element methodsapplied mathematicsmultiscale analysisnumerical analysisnumerical method for partial differential equationnumerical linear algebra

High-Order Accurate Schemes for Maxwell's Equations With Nonlinear Active Media and Material Interfaces. Journal of Computational Physics (2022)

Qing XiaJeffrey W. BanksWilliam D. HenshawAlexander V. KildishevGregor KovačičLudmila J. ProkopevaDonald W. Schwendeman

numerical simulationsnonlinear active mediaapplied physicsapplied mathematicscomputational electromagneticsnonlinear phenomenaboundary element methodsnumerical analysismaterial interfaceshigh-frequency approximationhigh-order accurate schemesboundary value problemsnumerical mathematicssemi-implicit methodnumerical method for partial differential equationnonlinear analysispartial differential equationselectromagnetismmethod of fundamental solution

Local Compatibility Boundary Conditions for High-Order Accurate Finite-Difference Approximations of Pdes. SIAM Journal on Scientific Computing (2022)

Nour G. Al HassaniehJeffrey W. BanksWilliam D. HenshawDonald W. Schwendeman

partial differential equationslocal polynomialcomputational engineeringapproximation theoryapplied mathematicsboundary conditionscomputational mathematicsnumerical computationscientific computingnumerical mathematicsboundary value problemscomputational mechanicscompatibility boundary conditionsnumerical analysisnumerical method for partial differential equation

Bianisotropic Homogenization of Optically Thick Metasurfaces. 2021 International Applied Computational Electromagnetics Society Symposium (ACES) (2021)

Omer YesilyurtWilliam D. HenshawLudmila J. ProkopevaSamuel PeanaJames Lawrence StewartAlexander V. Kildishev

materials sciencephysicsdynamic metamaterialsbianisotropic homogenizationhigh accuracymetamaterialselectromagnetic metamaterialsunit cellphotonicsapplied physicsnanophotonicsoptical materialsoptical propertieslightwave technology

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William Henshaw

Margaret A Darrin Distinguished Professor in Applied Mathematics

Rensselaer Polytechnic Institute

Affiliations

School of Science

Mathematical Sciences Department

Center for Modeling, Optimization and Computational Analysis

Office for Research

Center for Computational Innovations

William Henshaw is currently serving as a Mathematical Sciences Margaret A Darrin Distinguished Professor in Applied Mathematics at Rensselaer Polytechnic Institute.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

William Henshaw

Rensselaer Polytechnic Institute

Margaret A Darrin Distinguished Professor in Applied Mathematics

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

High Order Accurate Hermite Schemes on Curvilinear Grids With Compatibility Boundary Conditions. Journal of Computational Physics (2024)

Allen Alvarez LoyaDaniel AppelöWilliam D. Henshaw

High-Order Accurate Implicit-Explicit Time-Stepping Schemes for Wave Equations on Overset Grids. Journal of Computational Physics (2024)

Allison M. CarsonJeffrey W. BanksWilliam D. HenshawDonald W. Schwendeman

Solving for Hydroelastic Ship Response Using Timoshenko Beam Modes at Forward Speed. Ocean Engineering (2024)

Baoshun ZhouMostafa Amini-AfsharHarry B. BinghamYanlin ShaoWilliam D. Henshaw

Efficient Upwind Finite-Difference Schemes for Wave Equations on Overset Grids. SIAM Journal on Scientific Computing (2023)

J. B. AngelJ. W. BanksA. M. CarsonW. D. Henshaw

Efficient Upwind Schemes for Linear and Nonlinear Dispersive Maxwell's Equations on Overset Grids. 2020 International Applied Computational Electromagnetics Society Symposium (ACES) (2023)

Jordan B. AngelJeffrey W. BanksAllison M. CarsonWilliam D. Henshaw

Fractional-Step Finite Difference Schemes for Incompressible Elasticity on Overset Grids. Journal of Computational Physics (2023)

J.W. BanksW.D. HenshawA. NewellD.W. Schwendeman

Multigrid With Nonstandard Coarse-Level Operators and Coarsening Factors. Journal of Scientific Computing (2023)

Chang LiuWilliam Henshaw

High-Order Accurate Schemes for Maxwell's Equations With Nonlinear Active Media and Material Interfaces. Journal of Computational Physics (2022)

Qing XiaJeffrey W. BanksWilliam D. HenshawAlexander V. KildishevGregor KovačičLudmila J. ProkopevaDonald W. Schwendeman

Local Compatibility Boundary Conditions for High-Order Accurate Finite-Difference Approximations of Pdes. SIAM Journal on Scientific Computing (2022)

Nour G. Al HassaniehJeffrey W. BanksWilliam D. HenshawDonald W. Schwendeman

Bianisotropic Homogenization of Optically Thick Metasurfaces. 2021 International Applied Computational Electromagnetics Society Symposium (ACES) (2021)

Omer YesilyurtWilliam D. HenshawLudmila J. ProkopevaSamuel PeanaJames Lawrence StewartAlexander V. Kildishev

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5
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10 / page

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