A high-resolution Godunov method for compressible multi-material flow on overlapping grids. - Jeffrey W. Banks; Donald W. Schwendeman; Ashwana K. Kapila; William D. Henshaw (J. Comput. Phys., 2007)

On sub-linear convergence for linearly degenerate waves in capturing schemes. - Jeffrey W. Banks; Tariq D. Aslam; William J. Rider (J. Comput. Phys., 2008)

An evaluation of the FCT method for high-speed flows on structured overlapping grids. - Jeffrey W. Banks; William D. Henshaw; John N. Shadid (J. Comput. Phys., 2009)

Towards a scalable fully-implicit fully-coupled resistive MHD formulation with stabilized FE methods. - John N. Shadid; Roger P. Pawlowski; Jeffrey W. Banks; Luis Chacón; Paul T. Lin; Raymond S. Tuminaro (J. Comput. Phys., 2010)

Numerical methods for solid mechanics on overlapping grids: Linear elasticity. - Daniel Appelö; Jeffrey W. Banks; William D. Henshaw; Donald W. Schwendeman (J. Comput. Phys., 2012)

Upwind schemes for the wave equation in second-order form. - Jeffrey W. Banks; William D. Henshaw (J. Comput. Phys., 2012)

Deforming composite grids for solving fluid structure problems. - Jeffrey W. Banks; William D. Henshaw; Donald W. Schwendeman (J. Comput. Phys., 2012)

A note on the convergence of Godunov type methods for shock reflection problems. - Jeffrey W. Banks (Comput. Math. Appl., 2013)

A stable FSI algorithm for light rigid bodies in compressible flow. - Jeffrey W. Banks; William D. Henshaw; Björn Sjögreen (J. Comput. Phys., 2013)

Block-structured adaptive mesh refinement algorithms for Vlasov simulation. - Jeffrey A. F. Hittinger; Jeffrey W. Banks (J. Comput. Phys., 2013)

Richardson Extrapolation for Linearly Degenerate Discontinuities. - Jeffrey W. Banks; Tariq D. Aslam (J. Sci. Comput., 2013)

A Method to Calculate Numerical Errors Using Adjoint Error Estimation for Linear Advection. - Jeffrey M. Connors; Jeffrey W. Banks; Jeffrey A. F. Hittinger; Carol S. Woodward (SIAM J. Numer. Anal., 2013)

An analysis of a new stable partitioned algorithm for FSI problems. Part II: Incompressible flow and structural shells. - Jeffrey W. Banks; William D. Henshaw; Donald W. Schwendeman (J. Comput. Phys., 2014)

An analysis of a new stable partitioned algorithm for FSI problems. Part I: Incompressible flow and elastic solids. - Jeffrey W. Banks; William D. Henshaw; Donald W. Schwendeman (J. Comput. Phys., 2014)

On Galerkin difference methods. - Jeffrey W. Banks; Thomas M. Hagstrom (J. Comput. Phys., 2016)

An added-mass partition algorithm for fluid-structure interactions of compressible fluids and nonlinear solids. - Jeffrey W. Banks; William D. Henshaw; Ashwana K. Kapila; Donald W. Schwendeman (J. Comput. Phys., 2016)

A stable partitioned FSI algorithm for incompressible flow and deforming beams. - Longfei Li; William D. Henshaw; Jeffrey W. Banks; Donald W. Schwendeman; Alex Main (J. Comput. Phys., 2016)

A stable partitioned FSI algorithm for rigid bodies and incompressible flow. Part I: Model problem analysis. - Jeffrey W. Banks; William D. Henshaw; Donald W. Schwendeman; Qi Tang 001 (J. Comput. Phys., 2017)

A stable partitioned FSI algorithm for rigid bodies and incompressible flow. Part II: General formulation. - Jeffrey W. Banks; William D. Henshaw; Donald W. Schwendeman; Qi Tang 001 (J. Comput. Phys., 2017)

A stable and accurate partitioned algorithm for conjugate heat transfer. - Fanlong Meng; Jeffrey W. Banks; William D. Henshaw; Donald W. Schwendeman (J. Comput. Phys., 2017)

High-order accurate FDTD schemes for dispersive Maxwell's equations in second-order form using recursive convolutions. - Michael J. Jenkinson; Jeffrey W. Banks (J. Comput. Appl. Math., 2018)

High-order upwind schemes for the wave equation on overlapping grids: Maxwell's equations in second-order form. - Jordan B. Angel; Jeffrey W. Banks; William D. Henshaw (J. Comput. Phys., 2018)

Galerkin Differences for acoustic and elastic wave equations in two space dimensions. - Jeffrey W. Banks; Thomas M. Hagstrom; J. Jacangelo (J. Comput. Phys., 2018)

A stable partitioned FSI algorithm for rigid bodies and incompressible flow in three dimensions. - Jeffrey W. Banks; William D. Henshaw; Donald W. Schwendeman; Qi Tang 001 (J. Comput. Phys., 2018)

A high-order accurate scheme for Maxwell's equations with a generalized dispersive material model. - Jordan B. Angel; Jeffrey W. Banks; William D. Henshaw; Michael J. Jenkinson; Alexander V. Kildishev; Gregor Kovacic; Ludmila J. Prokopeva; Donald W. Schwendeman (J. Comput. Phys., 2019)

Robust approaches to handling complex geometries with Galerkin difference methods. - Jeremy E. Kozdon; Lucas C. Wilcox; Thomas M. Hagstrom; Jeffrey W. Banks (J. Comput. Phys., 2019)

A stable added-mass partitioned (AMP) algorithm for elastic solids and incompressible flow. - Daniel A. Serino; Jeffrey W. Banks; William D. Henshaw; Donald W. Schwendeman (J. Comput. Phys., 2019)

Discontinuous Galerkin Difference Methods for Symmetric Hyperbolic Systems. - Thomas M. Hagstrom; Jeffrey W. Banks; Benjamin Brett Buckner; Karl Juhnke (J. Sci. Comput., 2019)

High-Order Accurate Conservative Finite Difference Methods for Vlasov Equations in 2D+2V. - Jeffrey W. Banks; Andre Gianesini Odu; Richard Berger; Thomas Chapman; William J. Arrighi; Stephan Brunner (SIAM J. Sci. Comput., 2019)

A Stable Added-Mass Partitioned (AMP) Algorithm for Elastic Solids and Incompressible Flow: Model Problem Analysis. - Daniel A. Serino; Jeffrey W. Banks; William D. Henshaw; Donald W. Schwendeman (SIAM J. Sci. Comput., 2019)

A high-order accurate scheme for Maxwell's equations with a Generalized Dispersive Material (GDM) model and material interfaces. - Jeffrey W. Banks; Benjamin Brett Buckner; William D. Henshaw; Michael J. Jenkinson; Alexander V. Kildishev; Gregor Kovacic; Ludmila J. Prokopeva; Donald W. Schwendeman (J. Comput. Phys., 2020)

Galerkin Differences for High-Order Partial Differential Equations. - J. Jacangelo; Jeffrey W. Banks; Thomas M. Hagstrom (SIAM J. Sci. Comput., 2020)

Discontinuous Galerkin Galerkin Differences for the Wave Equation in Second-Order Form. - Jeffrey W. Banks; Benjamin Brett Buckner; Thomas M. Hagstrom; Karl Juhnke (SIAM J. Sci. Comput., 2021)

High-order accurate schemes for Maxwell's equations with nonlinear active media and material interfaces. - Qing Xia 006; Jeffrey W. Banks; William D. Henshaw; Alexander V. Kildishev; Gregor Kovacic; Ludmila J. Prokopeva; Donald W. Schwendeman (J. Comput. Phys., 2022)

Continuous/Discontinuous Galerkin Difference Discretizations of High-Order Differential Operators. - Jeffrey W. Banks; Benjamin Brett Buckner; Thomas M. Hagstrom (J. Sci. Comput., 2022)

Local Compatibility Boundary Conditions for High-Order Accurate Finite-Difference Approximations of PDEs. - Nour G. Al Hassanieh; Jeffrey W. Banks; William D. Henshaw; Donald W. Schwendeman (SIAM J. Sci. Comput., 2022)

Entropy-stable discontinuous Galerkin difference methods for hyperbolic conservation laws. - Ge Yan 004; Sharanjeet Kaur; Jeffrey W. Banks; Jason E. Hicken (J. Comput. Appl. Math., 2023)

Fractional-step finite difference schemes for incompressible elasticity on overset grids. - Jeffrey W. Banks; William D. Henshaw; A. Newell; Donald W. Schwendeman (J. Comput. Phys., 2023)

Efficient Upwind Finite-Difference Schemes for Wave Equations on Overset Grids. - Jordan B. Angel; Jeffrey W. Banks; Allison M. Carson; William D. Henshaw (SIAM J. Sci. Comput., 2023)

A new approach to the evaluation and solution of the relativistic kinetic dispersion relation and verification with continuum kinetic simulation. - William J. Arrighi; Jeffrey W. Banks; Richard Berger; Thomas Chapman; Andre Gianesini Odu; J. Gorman (J. Comput. Phys., 2024)

ZFP: A compressed array representation for numerical computations. - Peter Lindstrom 001; Jeffrey Hittinger; James Diffenderfer; Alyson Fox; Daniel Osei-Kuffuor; Jeffrey W. Banks (Int. J. High Perform. Comput. Appl., 2025)

High-order accurate implicit-explicit time-stepping schemes for wave equations on overset grids. - Allison M. Carson; Jeffrey W. Banks; William D. Henshaw; Donald W. Schwendeman (J. Comput. Phys., 2025)

An Optimal O(N) Helmholtz Solver for Complex Geometry using WaveHoltz and Overset Grids. - Daniel Appelö; Jeffrey W. Banks; William D. Henshaw; Donald W. Schwendeman (CoRR, 2025)

EigenWave: An Optimal O(N) Method for Computing Eigenvalues and Eigenvectors by Time-Filtering the Wave Equation. - Daniel Appelö; Jeffrey W. Banks; William D. Henshaw; Ngan Le; Donald W. Schwendeman (CoRR, 2025)

A Multi-Frequency Helmholtz Solver Based on the WaveHoltz Algorithm. - Daniel Appelö; Francis Appiah; Jeffrey W. Banks; Cassandra Carrick; William D. Henshaw; Donald W. Schwendeman (CoRR, 2025)