Jeffrey Banks

Eliza Ricketts Foundation Career Development Chair, Mathematical Sciences

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.



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

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

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



Research Focus
  • Numerical methods for partial differential equations
  • Fluid-structure interaction
  • Computational fluid dynamics and solid mechanics
  • Scientific computing
  • Wave phenomenon
  • Laser plasma interaction
Select 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–A1526
  • Nonlinear 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