Efficient time integration methods for Gross-Pitaevskii equations with rotation term
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Altres documents de l'autoria: Bader, Philipp; Blanes, Sergio; Casas, Fernando; Thalhammer, Mechthild
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Mostra el registre complet de l'elementcomunitat-uji-handle:10234/9
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Efficient time integration methods for Gross-Pitaevskii equations with rotation termData de publicació
2019Editor
American Institute of Mathematical SciencesCita bibliogràfica
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.2019008Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
https://www.aimsciences.org/article/doi/10.3934/jcd.2019008Versió
info:eu-repo/semantics/submittedVersionParaules clau / Matèries
Resum
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))Drets d'accés
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