We describe an algorithm to easily and efficiently incorporate upwinding into finite-difference
schemes for solving wave equations in second-order form and apply this scheme to solve …

New implicit and implicit-explicit time-step** methods for the wave equation in second-
order form are described with application to two and three-dimensional problems discretized …

We present an approach for adapting the Gaussian dispersion analysis (GDA) of optical
materials to time-domain simulations. Within a GDA model, the imaginary part of a measured …

A high-order accurate scheme for solving the time-domain dispersive Maxwell's equations
and material interfaces is described. Maxwell's equations are solved in second-order form …

Efficient finite-difference schemes for the numerical solution of the time-dependent
equations of incompressible linear elasticity on complex geometry are presented. The …

The equivalent fluid model (EFM) describes the acoustic properties of rigid porous media by
defining the intra-pore fluid phase as a fluid with an effective density and an effective …

We extend the previously developed high-order accurate method for acoustic scattering to
electromagnetic scattering, ie, from the scalar setting to a vector setting. First, the governing …

We describe a new approach to derive numerical approximations of boundary conditions for
high-order accurate finite-difference approximations. The approach, called the local …

The credible solution of discretized Maxwell's equations in spaces occupied by Lorentz
dispersive media is the main subject of this work. Specifically, we introduce a finite …

This work develops a finite-difference time-domain (FDTD) methodology with controllable
accuracy within prescribed frequency bands, which is suitable for problems incorporating …