Efficient time integration methods for Gross-Pitaevskii equations with rotation term
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Otros documentos de la autoría: Bader, Philipp; Blanes, Sergio; Casas, Fernando; Thalhammer, Mechthild
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Título
Efficient time integration methods for Gross-Pitaevskii equations with rotation termFecha de publicación
2019Editor
American Institute of Mathematical SciencesCita bibliográfica
Philipp Bader, Sergio Blanes, Fernando Casas, Mechthild Thalhammer. Efficient time integration methods for Gross-Pitaevskii equations with rotation term. Journal of Computational Dynamics, 2019, 6 (2) : 147-169. doi: 10.3934/jcd.2019008Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://www.aimsciences.org/article/doi/10.3934/jcd.2019008Versión
info:eu-repo/semantics/submittedVersionPalabras clave / Materias
Resumen
The objective of this work is the introduction and investigation of favourable time integration methods for the Gross-Pitaevskii equation with rotation term. Employing a reformulation in rotating Lagrangian coordinates, ... [+]
The objective of this work is the introduction and investigation of favourable time integration methods for the Gross-Pitaevskii equation with rotation term. Employing a reformulation in rotating Lagrangian coordinates, the equation takes the form of a nonlinear Schrödinger equation involving a space-time-dependent potential. A natural approach that combines commutator-free quasi-Magnus exponential integrators with operator splitting methods and Fourier spectral space discretisations is proposed. Furthermore, the special structure of the Hamilton operator permits the design of specifically tailored schemes. Numerical experiments confirm the good performance of the resulting exponential integrators. [-]
Proyecto de investigación
Ministerio de Economía y Competitividad (Spain) (project MTM2016-77660-P (AEI/FEDER, UE))Derechos de acceso
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