Eliza Ricketts Foundation Career Development Chair

Mathematical Sciences

518- 276-6412

Dr. Banks received his Ph.D. in applied mathematics from Rensselaer Polytechnic Institute in 2006. Subsequently he completed postdoctoral appointments at Sandia National Laboratories in Albuquerque, New Mexico, and Lawrence Livermore National Laboratory in Livermore, California. In 2010 he was appointed as a staff scientist at LLNL where he remained until moving back to RPI. In January 2015 he was appointed associate professor in the Department of Mathematical Sciences where he holds the Eliza Ricketts Foundation Career Development Chair.
Dr. Banks is interested in computer simulation of time evolving partial differential equations where linear or nonlinear wave phenomena play a central role. His research involves the development and analysis of highly accurate and efficient algorithms for the numerical simulation of physical systems such as high-speed fluid dynamics, solid mechanics, electromagnetics, plasma physics and fluid-structure interaction. In addition, he is the primary developer of the LOKI code for plasma physics, which is a high-order accurate solver for the kinetic Vlasov equation in 2-space and 2-velocity dimensions plus time. LOKI is highly scalable using MPI and is routinely run on some of the largest supercomputers in the world.

## Education

Ph.D., Applied Mathematics, Rensselaer Polytechnic Institute, 2006

M.S., Mathematics, Rensselaer Polytechnic Institute, 2002

B.S., Mathematics of Computation, Rensselaer Polytechnic Institute, 2002

## Focus Area

Numerical methods for partial differential equations , Fluid-structure interaction , Computational fluid dynamics and solid mechanics , Scientific computing , Wave phenomenon , Laser plasma interaction## Selected Scholarly Works

Discontinuous-Galerkin Galerkin-Differences for the Wave Equation in Second-Order Form, J.W. Banks, B.B. Buckner, T. Hagstrom, and K.Juhnke, SIAM J. Sci. Comput., 43 (2021), pp. A1497–A1526Nonlinear kinetic simulation study of the ion-ion streaming instability in single- and multi-ion-species plasmas, T. Chapman, R. L. Berger, A. Dimits, D. Ghosh, B. J. Winjum, J. W. Banks, and S. Brunner, Phys. Plasmas, 28 (2021), pp. 022105

Fourth-Order Accurate Fractional-Step IMEX Schemes for the Incompressible Navier-Stokes Equations on Moving Overlapping Grids, F. Meng, J.W. Banks, W.D. Henshaw, and D.W. Schwendeman, Comput. Method. Appl. Mech. Engrg., 366 (2020), pp. 113040

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

Galerkin Differences for High-Order Partial Differential Equations, J. Jacangelo, J. W. Banks, and T. Hagstrom, SIAM J. Sci. Comput., 42 (2020), pp. B447–B471

Discontinuous Galerkin Difference Methods for Symmetric Hyperbolic Systems, T.Hagstrom, J.W.Banks, B.B.Buckner, and K.Juhnke, J. Sci. Comput., 81 (2019), pp. 1509–1526

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

High-Order Accurate Conservative Finite Difference Methods for Vlasov Equations in 2D+2V, J. W. Banks, A. Gianesini Odu, R. L. Berger, T. Chapman, W. T. Arrighi, and S. Brunner, SIAM J. Sci. Comput., 41 (2019), pp. B953–B982

A stable added-mass partitioned (AMP) algorithm for elastic solids and incompressible flow: model problem analysis, D. A. Serino, J. W. Banks, W. D. Henshaw, and D. W. Schwendeman, SIAM J. Sci. Comput., 41 (2019), pp. A2464– A2484

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

Using p-Refinement to Increase Boundary Derivative Convergence Rates, D. Wells and J. W. Banks, Int. J. Numer. Anal. Mod., 16 (2019), pp. 891–924

Linearized Coulomb Collision Operator for Simulation of Interpenetrating Plasma Streams, 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, IEEE T. Plasma Sci., 47 (2019), pp. 2074–2080

Robust Approaches to Handling Complex Geometries with Galerkin Difference Methods, J. E. Kozdon, L. C. Wilcox, T. Hagstrom, and J. W. Banks, J. Comput. Phys., 392 (2019), pp. 483–510

A Multispecies, Multifluid Model for Laser-Induced Counterstreaming Plasma Simulations, Computers and Fluids, D. Ghosh, T. Chapman, R. Berger, A. Dimits, and J. W. Banks, 186 (2019), pp. 38–57

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

A High-Order Accurate FDTD Scheme for Maxwell’s Equations on Overset Grids, J. B. Angel, J. W. Banks, and W. D. Henshaw, Proceedings of the 2018 International Applied Computational Electromagnetics Society Symposium (ACES), pp. 1–2

A stable partitioned FSI algorithm for rigid bodies and incompressible flow in three dimensions, J. W. Banks, W. D. Henshaw, D. W. Schwendeman, and Q. Tang, J. Comput. Phys., 373 (2018), pp. 455–492

Galerkin Differences for Acoustic and Elastic Wave Equations in Two Space Dimensions, J. W. Banks, T. Hagstrom, and J. Jacangelo, J. Comput. Phys., 372 (2018), pp. 864–892

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

High-order upwind schemes for the wave equation on overlapping grids: Maxwell’s equations in second-order form, J. B. Angel, J. W. Banks, and W. D. Henshaw, J. Comput. Phys., 352 (2018), pp. 534–567

Collisional Damping Rates for Electron Plasma Waves Reassessed, J. W. Banks, S. Brunner, R. L. Berger, W. J. Arrighi, and T. M. Tran, Phys. Rev. E, 96 (2017), pp. 043208

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

A stable partitioned FSI algorithm for rigid bodies and incompressible flow. Part I: Model problem analysis, J. W. Banks, W. D. Henshaw, D. W. Schwendeman, and Q. Tang, J. Comput. Phys., 343 (2017), pp. 432–468

A stable parti- tioned FSI algorithm for rigid bodies and incompressible flow. Part II: General formulation, J. W. Banks, W. D. Henshaw, D. W. Schwendeman, and Q. Tang, J. Comput. Phys., 343 (2017), pp. 469–500

A stable and accurate partitioned algorithm for conjugate heat transfer, F. Meng, J. W. Banks, W. D. Henshaw, and D. W. Schwendeman, J. Comput. Phys., 344 (2017), pp. 51–85

On Galerkin difference methods, J. W. Banks and T. Hagstrom, J. Comput. Phys., Volume 313, Pages 310–327, 2016

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

A stable partitioned FSI algorithm for incompressible flow and deforming beams, L. Li, W. D. Henshaw, J. W. Banks, D. W. Schwendeman, and G. A. Main, J. Comput. Phys., Volume 312, Pages 310–327, 2016

An Added- Mass Partition Algorithm for Fluid-Structure Interactions of Compressible Fluids and Nonlinear Solids, J. W. Banks, W. D. Henshaw, A. K. Kapila, and D. W. Schwendeman, J. Comput. Phys., 305 (2016), pp. 1037–1064

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

An Analysis of a New Stable Partitioned Algorithm for FSI Problems. Part I: Incompressible Flow and Elastic Solids, J. W. Banks, W. D. Henshaw, and D. W. Schwendeman, J Comput. Phys., Volume 269, Pages 108–137, 2014

Upwind Schemes for the Wave Equation in Second-Order Form, J. W. Banks and W. D. Henshaw, J. Comput. Phys., Volume 231, Issue 17, Pages 5854–5889., 2012

Two-Dimensional Vlasov Simulation of Electron Plasma Wave Trapping, Wavefront Bowing, Self- Focusing, and Sideless, J. W. Banks, R. L. Berger, S. Brunner, B. I. Cohen, and J. A. F. Hittinger, Phys. Plasmas, Volume 18, Number 5, Pages 052102 2010