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

• Interests:
  • Numerical methods for partial differential equations
  • Fluid-structure 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 finite-size 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 High-Order 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, High-order 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, Discontinuous-Galerkin Galerkin-Differences for the Wave Equation in Second-Order Form, SIAM J. Sci. Comput. 43:A1497--A1526, 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 ion-ion streaming instability in single- and multi-ion-species plasmas, Phys. Plasmas 28:022105, 2021

  • F. Meng, J. W. Banks, W. D. Henshaw, and D. W. Schwendeman, Fourth-Order Accurate Fractional-Step IMEX Schemes for the Incompressible Navier-Stokes 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 High-order 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 High-Order Partial Differential Equations, SIAM J. Sci. Comput. 42:B447--B471, 2020

  • T. Hagstrom, J. W. Banks, B. B. Buckner, and K. Juhnke, Discontinuous Galerkin Difference Methods for Symmetric Hyperbolic Systems, J. Sci. Comput. 81:1509--1526, 2019

  • D. A. Serino, J. W. Banks, W. D. Henshaw, and D. W. Schwendeman, A stable added-mass 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, High-Order Accurate Conservative Finite Difference Methods for Vlasov Equations in 2D+2V, SIAM J. Sci. Comput. 41:B953--B982, 2019

  • D. A. Serino, J. W. Banks, W. D. Henshaw, and D. W. Schwendeman, A stable added-mass partitioned (AMP) algorithm for elastic solids and incompressible flow: model problem analysis, SIAM J. Sci. Comput. 41:A2464--A2484, 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 p-Refinement to Increase Boundary Derivative Convergence Rates, Int. J. Numer. Anal. Mod. 16:891--924, 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. 47:2074--2080, 2019

  • D. Ghosh, T. Chapman, R. Berger, A. Dimits, and J. W. Banks, A Multispecies, Multifluid Model for Laser-Induced Counterstreaming Plasma Simulations, Copmputers and Fluids 186:38--57, 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 392:483--510, 2019

  • J. B. Angel, J. W. Banks, W. D. Henshaw, M. J. Jenkinson, A. V. Kildishev, G. Kovacic, L. Prokopeva, D. W. Schwendeman, A High-order Accurate Scheme for Maxwell's Equations with a Generalized Dispersive Material Model, J. Comput. Phys. 378:411--444, 2019

  • J. B. Angel, J. W. Banks, and W. D. Henshaw, A High-Order 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., 373:455--492, 2018

  • J. W. Banks, T. Hagstrom, and J. Jacangelo, Galerkin Differences for Acoustic and Elastic Wave Equations in Two Space Dimensions, J. Comput. Phys., 372:864--892, 2018

  • M. J. Jenkinson and J. W. Banks, High-order accurate FDTD schemes for dispersive Maxwell's equations in second-order form using recursive convolutions, J. Comput. Appl. Math, 336:192--218, 2018

  • J. B. Angel, J. W. Banks, and W. D. Henshaw, High-order upwind schemes for the wave equation on overlapping grids, J. Comput. Phys., 352:534--567, 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, 343:432--468, 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, 343:469--500, 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, 344:51--85, 2017

  • J. W. Banks, S. Brunner, R. L. Berger, and T. M. Tran, Vlasov simulations of electron-ion 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., 313:310-327, 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., 312:272-306, 2016

  • L. Li, R. J. Braun, T. A. Driscoll, W. D. Henshaw, J. W. Banks, and P. E. King-Smith, Computed tear film and osmolarity dynamics on an eye-shaped domain, Math. Med. Biol., 33:123-157, 2016

  • J. W. Banks, W. D. Henshaw, A. K. Kapila, and D. W. Schwendeman, An Added-Mass Partition Algorithm for Fluid-Structure Interactions of Compressible Fluids and Non- linear Solids, J. Comput. Phys., 305:1037-1064, 2016

  • J. W. Banks, W. D. Henshaw, High-order upwind methods for wave equations on curvilinear and overlapping grids, Lecture Notes in Computational Science and Engineering, 106:137-145, 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, Multi-dimensional Vlasov simulations and modeling of trapped-electron-driven 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 second-order form, J. Comput. Phys., 269:108-137, 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., 268:399-416, 2014

  • J. M. Connors, J. W. Banks, J. A. F. Hittinger, and C. S. Woodward, Quantification of Errors for Operator-Split Advection-Diffusion Calculations, Comput. Method. Appl. Mech. Engrg., 272:181-197, 2014

  • B. J. Winjum, R. L. Berger, T. Chapman, J. W. Banks, and S. Brunner, Kinetic Simulations of the Self Focusing and Dissipation of Finite-Width 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., 66:19-23, 2013

  • J. W. Banks and T. D. Aslam, Richardson Extrapolation and Linearly Degenerate Discontinuities, J. Sci. Comput., 57:1-18, 2013

  • J. W. Banks, W. D. Henshaw, and B. Sjögreen, A Stable FSI Algorithm for Light Rigid Bodies in Compressible Flow, J. Comput. Phys., 245:399-430, 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., 51:894-926, 2013

  • J. A. F. Hittinger and J. W. Banks, Block-Structured Adaptive Mesh Refinement Algorithms for Vlasov Simulation, J. Comput. Phys., 241:118-140, 2013

  • B. Sjögreen and J. W. Banks, Stability of Finite Difference Discretizations of Multi-Physics Interface Conditions, Commun. Comput. Phys., 13:386-410, 2013

• 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

Jeffrey Banks
Department of Mathematical Sciences
Rensselaer Polytechnic Institute
110 8th Street
Troy, New York 12180

Email: banksj3@rpi.edu