TY - JOUR
T1 - A Review of Transparent and Artificial Boundary Conditions Techniques for Linear and Nonlinear Schrödinger Equations
AU - Xavier Antoine, Anton Arnold, Christophe Besse, Matthias Ehrhardt & Achim Schädle
JO - Communications in Computational Physics
VL - 4
SP - 729
EP - 796
PY - 2008
DA - 2008/04
SN - 4
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cicp/7814.html
KW - 
AB - <p style="text-align: justify;">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 approaches and describe briefly alternative ideas pointing out the relations between these works. We conclude with several numerical examples from different application areas to compare the presented techniques. We mainly focus on the one-dimensional problem but also touch upon the situation in two space dimensions and the cubic nonlinear case.</p>