A common method for numerically solving wave problems in unbounded domains is based
on truncating the infinite domain via an artificial boundary B, thus defining a finite …

In this review article we discuss different techniques to solve numerically the time-dependent
Schrödinger equation on unbounded domains. We present in detail the most recent …

While numerically solving a problem initially formulated on an unbounded domain, one
typically truncates this domain, which necessitates setting the artificial boundary conditions …

We consider the efficient evaluation of accurate radiation boundary conditions for time
domain simulations of wave propagation on unbounded spatial domains. This issue has …

▪ Abstract We review artificial boundary conditions (BCs) for simulation of inflow, outflow, and
far-field (radiation) problems, with an emphasis on techniques suitable for compressible …

A new non-reflecting boundary scheme is proposed for time-dependent wave problems in
unbounded domains. The linear time-dependent wave equation, with or without a dispersive …

We present a systematic approach to the computation of exact nonreflecting boundary
conditions for the wave equation. In both two and three dimensions, the critical step in our …

We propose a way to efficiently treat the well-known transparent boundary conditions for the
Schrödinger equation. Our approach is based on two ideas: to write out a discrete …

We describe a new, efficient approach to the imposition of exact nonreflecting boundary
conditions for the scalar wave equation. We compare the performance of our approach with …

Perhaps the defining feature of waves is the fact that they propagate long distances relative
to their characteristic dimension, the wavelength. This allows us to use them to probe the …