





Jeffrey W. Banks
Eliza Ricketts Foundation Career Development Chair
Associate Professor
Ph.D. Rensselaer Polytechnic Institute
Mathematics

Research
 Interests:
 Numerical methods for partial differential equations
 Fluidstructure interaction
 Computational fluid dynamics and solid mechanics
 Kinetic Equations
 Galerkin Differences
 Scientific computing
 Wave phenomenon
 Laser plasma interaction
 Collaborators:
 Dick Berger, Lawrence Livermore National Laboratory
 Stephan Brunner, École Polytechnique Fédérale de Lausanne
 Tristan Buckmaster, University of Maryland
 Tom Chapman, Lawrence Livermore National Laboratory
 Tom Hagstrom, Southern Methodist University
 Bill Henshaw, Rensselaer Polytechnic Institute
 Ash Kapila, Rensselaer Polytechnic Institute
 Alexander Korotkevich, University of New Mexico
 Gregor Kovacic,Rensselaer Polytechnic Institute
 Don Schwendeman, Rensselaer Polytechnic Institute
 Jalal Shatah, NYU Courant
 Recent publications

J. W. Banks, T. Buckmaster, A. O. Korotkevich, G. Kovacic, and J. Shatah,
Direct verification of the kinetic description of wave turbulence for finitesize systems dominated by interactions among groups of 6 waves,
Phys. Rev. Lett. 129:034101, 2022

J. W. Banks, B. B. Buckner, and T. Hagstrom,
Continuous/Discontinuous Galerkin Difference Discretizations of HighOrder Differential Operators,
J. Sci. Comput. 92:45, 2022

Qing Xia, Jeffrey W. Banks, William D. Henshaw, Alexander V. Kildishev, Gregor Kovacic, Ludmila J. Prokopeva, Donald W. Schwendeman,
Highorder accurate schemes for Maxwell's equations with nonlinear active media and material interfaces,
J. Comput Phys. 456:111051, 2022

K. P. Leisman, D. Zhou, J. W. Banks, G. Kovacic, and D. Cai,
Effective linearization by increasing nonlinearity in the nonlinear Schrodinger Equation,
Phys. Rev. Research 4:L012009, 2022

J. W. Banks, B. B. Buckner, T. Hagstrom, and K. Juhnke,
DiscontinuousGalerkin GalerkinDifferences for the Wave Equation in SecondOrder Form,
SIAM J. Sci. Comput. 43:A1497A1526, 2021

T. Chapman, R. L. Berger, A. Dimits, D. Ghosh, B. J. Winjum, J. W. Banks, and S. Brunner,
Nonlinear kinetic simulation study of the ionion streaming instability in single and multiionspecies plasmas,
Phys. Plasmas 28:022105, 2021

F. Meng, J. W. Banks, W. D. Henshaw, and D. W. Schwendeman,
FourthOrder Accurate FractionalStep IMEX Schemes for the Incompressible NavierStokes Equations on Moving Overlapping Grids,
Comput. Method. Appl. Mech. Engrg. 366:113040, 2020

J. W. Banks, B. B. Buckner, W. D. Henshaw, M. J. Jenkinson, A. V. Kildishev, G. Kovacic, L. J. Prokopeva, and D. W. Schwendeman,
A Highorder Accurate Scheme for Maxwell's Equations with a Generalized Dispersive Material (GDM) Model and Material Interfaces,
J. Comput. Phys. 412:109424, 2020

J. Jacangelo, J. W. Banks, and T. Hagstrom,
Galerkin Differences for HighOrder Partial Differential Equations,
SIAM J. Sci. Comput. 42:B447B471, 2020

T. Hagstrom, J. W. Banks, B. B. Buckner, and K. Juhnke,
Discontinuous Galerkin Difference Methods for Symmetric Hyperbolic Systems,
J. Sci. Comput. 81:15091526, 2019

D. A. Serino, J. W. Banks, W. D. Henshaw, and D. W. Schwendeman,
A stable addedmass partitioned (AMP) algorithm for elastic solids and incompressible flow,
J. Comput. Phys. 399:108923, 2019

J. W. Banks, A. Gianesini Odu, R. L. Berger, T. Chapman, W. T. Arrighi, and S. Brunner,
HighOrder Accurate Conservative Finite Difference Methods for Vlasov Equations in 2D+2V,
SIAM J. Sci. Comput. 41:B953B982, 2019

D. A. Serino, J. W. Banks, W. D. Henshaw, and D. W. Schwendeman,
A stable addedmass partitioned (AMP) algorithm for elastic solids and incompressible flow: model problem analysis,
SIAM J. Sci. Comput. 41:A2464A2484, 2019

K. P. Leisman, D. Zhou, J. W. Banks, G. Kovacic, and D. Cai,
Effective Dispersion in the Focusing Nonlinear Schrodinger Equation,
Phys. Rev. E 100:022215, 2019

D. Wells and J. W. Banks,
Using pRefinement to Increase Boundary Derivative Convergence Rates,
Int. J. Numer. Anal. Mod. 16:891924, 2019

A. M. Dimits, J. W. Banks, R. L. Berger, S. Brunner, T. Chapman, D. Copeland, D. Ghosh, W. J. Arrighi, J. Hittinger, and I. Joseph,
Linearized Coulomb Collision Operator for Simulation of Interpenetrating Plasma Streams,
IEEE T. Plasma Sci. 47:20742080, 2019

D. Ghosh, T. Chapman, R. Berger, A. Dimits, and J. W. Banks,
A Multispecies, Multifluid Model for LaserInduced Counterstreaming Plasma Simulations,
Copmputers and Fluids 186:3857, 2019

J. E. Kozdon, L. C. Wilcox, T. Hagstrom, and J. W. Banks,
Robust Approaches to Handling Complex Geometries with Galerkin Difference Methods,
J. Comput. Phys 392:483510, 2019

J. B. Angel, J. W. Banks, W. D. Henshaw, M. J. Jenkinson, A. V. Kildishev, G. Kovacic, L. Prokopeva, D. W. Schwendeman,
A Highorder Accurate Scheme for Maxwell's Equations with a Generalized Dispersive Material Model,
J. Comput. Phys. 378:411444, 2019

J. B. Angel, J. W. Banks, and W. D. Henshaw,
A HighOrder Accurate FDTD Scheme for Maxwell's Equations on Overset Grids,
Proceedings of the 2018 International Applied Computational Electromagnetics Society Symposium (ACES)

J. W. Banks, W. D. Henshaw, D. W. Schwendeman, and Q. Tang,
A stable partitioned FSI algorithm for rigid bodies and incompressible flow in three dimensions,
J. Comput. Phys., 373:455492, 2018

J. W. Banks, T. Hagstrom, and J. Jacangelo,
Galerkin Differences for Acoustic and Elastic Wave Equations in Two Space Dimensions,
J. Comput. Phys., 372:864892, 2018

M. J. Jenkinson and J. W. Banks,
Highorder accurate FDTD schemes for dispersive Maxwell's equations in secondorder form using recursive convolutions,
J. Comput. Appl. Math, 336:192218, 2018

J. B. Angel, J. W. Banks, and W. D. Henshaw,
Highorder upwind schemes for the wave equation on overlapping grids,
J. Comput. Phys., 352:534567, 2018

J. W. Banks, S. Brunner, R. L. Berger, W. J. Arrighi, and T. M. Tran,
Longitudinal and Transverse Instability of Ion Acoustic Waves,
Phys. Rev. E, 96:043208, 2017

T. Chapman, R. L. Berger, B. I. Cohen, J. W. Banks, and S. Brunner,
Longitudinal and Transverse Instability of Ion Acoustic Waves,
Phys. Rev. Lett., 119:055002, 2017

J. W. Banks, W. D. Henshaw, D. W. Schwendeman, and Q. Tang,
A stable partitioned FSI algorithm for rigid bodies and incompressible flow. Part I: Model problem analysis,
J. Comput. Phys, 343:432468, 2017

J. W. Banks, W. D. Henshaw, D. W. Schwendeman, and Q. Tang,
A stable partitioned FSI algorithm for rigid bodies and incompressible flow. Part II: General formulation,
J. Comput. Phys, 343:469500, 2017

F. Meng, J. W. Banks, W. D. Henshaw, and D. W. Schwendeman,
A stable and accurate partitioned algorithm for conjugate heat transfer
J. Comput. Phys, 344:5185, 2017

J. W. Banks, S. Brunner, R. L. Berger, and T. M. Tran,
Vlasov simulations of electronion collision effects on damping of electron plasma waves,
Phys. Plasmas, 23:032108, 2016

J. W. Banks and T. Hagstrom
On Galerkin difference methods,
J. Comput. Phys., 313:310327, 2016

L. Li, W. D. Henshaw, J. W. Banks, D. W. Henshaw, D. W. Schwendeman, and G. A. Main,
A stable partitioned FSI algorithm for incompressible flow and deforming beams,
J. Comput. Phys., 312:272306, 2016

L. Li, R. J. Braun, T. A. Driscoll, W. D. Henshaw, J. W. Banks, and P. E. KingSmith,
Computed tear film and osmolarity dynamics on an eyeshaped domain,
Math. Med. Biol., 33:123157, 2016

J. W. Banks, W. D. Henshaw, A. K. Kapila, and D. W. Schwendeman,
An AddedMass Partition Algorithm for FluidStructure Interactions of Compressible Fluids and Non linear Solids,
J. Comput. Phys., 305:10371064, 2016

J. W. Banks, W. D. Henshaw,
Highorder upwind methods for wave equations on curvilinear and overlapping grids,
Lecture Notes in Computational Science and Engineering, 106:137145, 2015

T. Chapman, B. J. Winjum, S. Brunner, R. L. Berger, J. W. Banks,
Demonstrating the saturation of stimulated Brillouin scattering by ion acoustic decay using fully kinetic simulations,
Phys. Plasmas, 22:092116, 2015

K. Hara, T. Chapman, J. W. Banks, S. Brunner, I. L. Joseph, R. L. Berger, and I. D. Boyd,
Quantitative study of the trapped particle bunching instability in Langmuir waves,
Phys. Plasmas, 22:022104, 2015

R. L. Berger, S. Brunner, J. W. Banks, B. I. Cohen, and B. J. Winjum,
Multidimensional Vlasov simulations and modeling of trappedelectrondriven filamentation of electron plasma waves,
Phys. Plasmas, 22:055703, 2015

T. Chapman, S. Brunner, J. W. Banks, R. L. Berger, B. I. Cohen, and E. A. Williams,
New Insights Into the Decay of Ion Waves to Turbulence, Ion Heating, and Soliton Generation,
Phys. Plasmas, 21:042107, 2014

J. W. Banks, W. D. Henshaw, and D. W. Schwendeman,
An analysis of a new stable partitioned algorithm for FSI problems.
Part I: Incompressible flow and elastic solidsUpwind schemes for the wave equation in secondorder form,
J. Comput. Phys., 269:108137, 2014

J. W. Banks, W. D. Henshaw, and D. W. Schwendeman,
An analysis of a new stable partitioned algorithm for FSI problems.
Part II: Incompressible flow and structural shells,
J. Comput. Phys., 268:399416, 2014

J. M. Connors, J. W. Banks, J. A. F. Hittinger, and C. S. Woodward,
Quantification of Errors for OperatorSplit AdvectionDiffusion Calculations,
Comput. Method. Appl. Mech. Engrg., 272:181197, 2014

B. J. Winjum, R. L. Berger, T. Chapman, J. W. Banks, and S. Brunner,
Kinetic Simulations of the Self Focusing and Dissipation of FiniteWidth Electron Plasma Waves,
Phys. Rev. Lett., 111:105002, 2013

J. W. Banks,
A Note on the Convergence of Godunov Type Methods for Shock Reflection Problems,
Comput. Math. Appl., 66:1923, 2013

J. W. Banks and T. D. Aslam,
Richardson Extrapolation and Linearly Degenerate Discontinuities,
J. Sci. Comput., 57:118, 2013

J. W. Banks, W. D. Henshaw, and B. Sjögreen,
A Stable FSI Algorithm for Light Rigid Bodies in Compressible Flow,
J. Comput. Phys., 245:399430, 2013

J. M. Connors, J. W. Banks, J. A. F. Hittinger, and C. S. Woodward,
A Method to Calculate Numerical Errors Using Adjoint Error Estimation for Linear Advection,
SIAM J. Numer. Anal., 51:894926, 2013

J. A. F. Hittinger and J. W. Banks,
BlockStructured Adaptive Mesh Refinement Algorithms for Vlasov Simulation,
J. Comput. Phys., 241:118140, 2013

B. Sjögreen and J. W. Banks,
Stability of Finite Difference Discretizations of MultiPhysics Interface Conditions,
Commun. Comput. Phys., 13:386410, 2013


Course Information
 Spring semester, 2015
 MATH 4800 Numerical Computing
 Fall semester, 2015
 MATH 6840 Numerical Solutions of PDEs
 MATH 1900 Art and Science of Mathematics
 Spring semester, 2016
 MATH 4800 Numerical Computing
 MATH 1910 Art and Science of Mathematics II
 Fall semester, 2016
 MATH 6890 Numerical Solution of Wave Equations
 Fall semester, 2017
 MATH 4800 Numerical Computing
 Spring semester, 2018
 MATH 6840 Numerical Solution of PDEs
 Fall semester, 2018
 MATH 4800 Numerical Computing
 Spring semester, 2019
 MATH 6890 Numerical Solution of Wave Equations
 Fall semester, 2019
 MATH 6800 Computational Linear Algebra
 Spring semester, 2020
 MATH 4800 Numerical Computing
 Fall semester, 2020
 MATH 6800 Computational Linear Algebra
 Spring semester, 2021
 MATH 6840 Numerical Solution of PDEs
 Summer semester, 2021
 MATH 4800 Numerical Computing
 Fall semester, 2021
 MATH 6890 Numerical Solution of Wave Equations
 Spring semester, 2022
 MATH 6840 Numerical Solution of PDEs
 Fall semester, 2022
 MATH 4600 Advanced Calculus
 MATH 1900 Art and Science of Mathematics


Contact Information
Jeffrey Banks
Department of Mathematical Sciences
Rensselaer Polytechnic Institute
110 8th Street
Troy, New York 12180
Email: banksj3@rpi.edu



