We review the construction and use of complex potentials in reactive scattering and other
molecular collisions to calculate continuum quantities (such as state-to-state transition …

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 …

In this paper, we begin with the nonlinear Schrödinger/Gross–Pitaevskii equation
(NLSE/GPE) for modeling Bose–Einstein condensation (BEC) and nonlinear optics as well …

The most well-known methods for the exact analysis of boundary value problems for linear
PDEs are the methods of (a) classical transforms,(b) images, and (c) Green's function …

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 …

Gauge invariance was discovered in the development of classical electromagnetism and
was required when the latter was formulated in terms of the scalar and vector potentials. It is …

The problem of highly nonlinear photoemission from a metal surface is considered using
analytical and numerical approaches. Descriptions are found which cover both the weak …

Absorbing boundary conditions (ABCs) are generally required for simulating waves in
unbounded domains. As one of those approaches for designing ABCs, perfectly matched …

We present in this paper an original ab initio Maxwell–Schrödinger model and a
methodology to simulate intense ultrashort laser pulses interacting with a 3D H+ 2-gas in the …

The aim of this paper is to describe concisely the recent theoretical and numerical
developments concerningabsorbing boundary conditions and perfectly matched layers for …