42 citations · 295 across the 24 of their papers we have counts for
3 papers · 1 filter
Local Compatibility Boundary Conditions for High-Order Accurate Finite-Difference Approximations of PDEs
Nour G. Al Hassanieh, Jeffrey W. Banks, William D. Henshaw +1
We describe a new approach to derive numerical approximations of boundary conditions for high-order accurate finite-difference approximations. The approach, called the Local Compat…
Direct verification of the kinetic description of wave turbulence for finite-size systems dominated by interactions among groups of 6 waves
J. W. Banks, T. Buckmaster, A. O. Korotkevich +2
The present work considers systems whose dynamics are governed by the nonlinear interactions among groups of 6 nonlinear waves, such as those described by the unforced quintic nonl…
High-order accurate schemes for Maxwell's equations with nonlinear active media and material interfaces
Qing Xia, Jeffrey W. Banks, William D. Henshaw +4
We describe a fourth-order accurate finite-difference time-domain scheme for solving dispersive Maxwell's equations with nonlinear multi-level carrier kinetics models. The scheme i…