@Article{IJNAM-2-1, author = {}, title = {Conservative Local Discontinuous Galerkin Methods for Time Dependent Schrödinger Equation}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2005}, volume = {2}, number = {1}, pages = {75--84}, abstract = {

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.

}, issn = {2617-8710}, doi = {https://doi.org/2005-IJNAM-921}, url = {https://global-sci.com/article/83847/conservative-local-discontinuous-galerkin-methods-for-time-dependent-schrodinger-equation} }