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Symplectic methods for the numerical integration of the Schrödinger equation

✍ Scribed by Th. Monovasilis; T.E. Simos

Book ID: 116374560
Publisher: Elsevier Science
Year: 2007
Tongue: English
Weight: 156 KB
Volume: 38
Category: Article
ISSN: 0927-0256
DOI: 10.1016/j.commatsci.2005.09.011

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📜 SIMILAR VOLUMES

Exponentially fitted symplectic methods

Exponentially fitted symplectic methods for the numerical integration of the Schrödinger equation

✍ Th. Monovasilis; Z. Kalogiratou; T.E. Simos 📂 Article 📅 2005 🏛 Springer 🌐 English ⚖ 106 KB

Trigonometrically fitted and exponential

Trigonometrically fitted and exponentially fitted symplectic methods for the numerical integration of the Schrödinger equation

✍ Th. Monovasilis; Z. Kalogiratou; Th. Monovasilis; T. E. Simos 📂 Article 📅 2006 🏛 Springer 🌐 English ⚖ 124 KB

Phase fitted symplectic partitioned Rung

Phase fitted symplectic partitioned Runge–Kutta methods for the numerical integration of the Schrödinger equation

✍ Monovasilis, Th. 📂 Article 📅 2012 🏛 Springer 🌐 English ⚖ 142 KB

Trigonometrically and Exponentially fitt

Trigonometrically and Exponentially fitted Symplectic Methods of third order for the Numerical Integration of the Schrödinger Equation

✍ Th. Monovasilis; Z. Kalogiratou; T. E. Simos 📂 Article 📅 2005 🏛 John Wiley and Sons ⚖ 100 KB 👁 1 views

Symplectic methods for the nonlinear Sch

Symplectic methods for the nonlinear Schrödinger equation

✍ 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

Symplectic and multi-symplectic methods

Symplectic and multi-symplectic methods for the nonlinear Schrödinger equation

✍ Jing-Bo Chen; Meng-Zhao Qin; Yi-Fa Tang 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 725 KB

The Hamiltonian and the multi-symplectic formulations of the nonlinear SchrGdinger equation are considered. For the multi-symplectic formulation, a new six-point difference scheme which is equivalent to the multi-symplectic Preissman integrator is derived. Numerical experiments are also reported.