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 …

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

In various areas of applied mechanics, there are instances where it is necessary or
beneficial to represent the behavior of a mechanical system on an artificial boundary, or …

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 …

The subject of this chapter is the treatment of artificial boundaries in wave problems. Artificial
boundaries are introduced when the problem under study is associated with an unbounded …

Dirichlet-to-Neumann (DtN) boundary conditions for unbounded wave guides in two and
three dimensions are derived and analyzed, defining problems that are suitable for finite …

The purpose of this note… is to sort out my own thoughts… and to solicit ideas from others.
Lloyd N. Trefethen Three mysteries of Gaussian elimination Since 2008, when the first …

Numerical approximations and modeling of many physical, biological, and biomedical
problems often deal with equations with highly varying coefficients, heterogeneous models …

In this paper we develop numerical approximations of the wave equation in mixed form
supplemented with non-reflecting boundary conditions (NRBCs) of Sommerfeld-type on …

Highly-accurate numerical methods that can efficiently handle problems with interfaces
and/or problems in domains with complex geometry are crucial for the resolution of different …