arrow
Volume 2, Issue 1
Conservative Local Discontinuous Galerkin Methods for Time Dependent Schrödinger Equation

T. Lu, W. Cai & P. Zhang

Int. J. Numer. Anal. Mod., 2 (2005), pp. 75-84.

Published online: 2005-02

Export citation
  • 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.

  • AMS Subject Headings

65N30, 47N40, 81Q05

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{IJNAM-2-75, 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/}, url = {http://global-sci.org/intro/article_detail/ijnam/921.html} }
TY - JOUR T1 - Conservative Local Discontinuous Galerkin Methods for Time Dependent Schrödinger Equation 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 -

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.

T. Lu, W. Cai & P. Zhang. (1970). Conservative Local Discontinuous Galerkin Methods for Time Dependent Schrödinger Equation. International Journal of Numerical Analysis and Modeling. 2 (1). 75-84. doi:
Copy to clipboard
The citation has been copied to your clipboard