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Fully discrete methods for the nonlinear Schrödinger equation

✍ Scribed by H.Y. Lee


Book ID
108022451
Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
1021 KB
Volume
28
Category
Article
ISSN
0898-1221

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Symplectic methods for the nonlinear Sch
✍ Y.-F. Tang; L. Vázquez; F. Zhang; V.M. Pérez-García 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 528 KB

In this paper, we show that the spatial discretization of the nonlinear SchrSdinger equation leads to a Hamiltonian system, which can be simulated with symplectic numerical schemes. In particular, we apply two symplectic integrators to the nonlinear SchrSdinger equation, and we demonstrate that the