Local discontinuous Galerkin methods for nonlinear Schrödinger equations


Xu, Yan and Shu, Chi-Wang (2005) Local discontinuous Galerkin methods for nonlinear Schrödinger equations. Journal of Computational Physics, 205 (1). pp. 72-97. ISSN 0021-9991

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Abstract:In this paper we develop a local discontinuous Galerkin method to solve the generalized nonlinear Schrödinger equation and the coupled nonlinear Schrödinger equation. L2 stability of the schemes are obtained for both of these nonlinear equations. Numerical examples are shown to demonstrate the accuracy and capability of these methods.

Item Type:Article
Copyright:© 2005 Elsevier
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/70180
Official URL:https://doi.org/10.1016/j.jcp.2004.11.001
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