TY - JOUR
T1 - Conservative Local Discontinuous Galerkin Methods for Time Dependent Schrödinger Equation
AU - T. Lu, W. Cai & P. Zhang
JO - International Journal of Numerical Analysis and Modeling
VL - 1
SP - 75
EP - 84
PY - 2005
DA - 2005/02
SN - 2
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/921.html
KW - Local discontinuous Galerkin (LDG) method, Schrödinger equation, quantum structures.
AB - <p style="text-align: justify;">This paper presents a high order local discontinuous
Galerkin time-domain method for solving time dependent Schrödinger
equations. After rewriting the Schrödinger equation in terms of a first
order system of equations, a numerical flux is constructed to preserve
the conservative property for the density of the particle described.
Numerical results for a model square potential scattering problem is
included to demonstrate the high order accuracy of the proposed
numerical method.</p>