Artículo
Weishäupl, R.M.; Schmeiser, C.; Markowich, P.A.; Borgna, J.P. "A Hermite pseudo-spectral method for solving systems of Gross-Pitaevskii equations" (2007) Communications in Mathematical Sciences. 5(2):299-312
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Abstract:
We propose and analyze discretization methods for solving finite systems of nonlinearly coupled Schrödinger equations, which arise as an asymptotic limit of the three-dimensional Gross-Pitaevskii equation with strongly anisotropic potential. A pseudo-spectral method with Hermite basis functions combined with a Crank-Nicolson type method is introduced. Numerical experiments are presented, including a comparison with an alternative discretization approach. © 2007 International Press.
Registro:
| Documento: | Artículo |
| Título: | A Hermite pseudo-spectral method for solving systems of Gross-Pitaevskii equations |
| Autor: | Weishäupl, R.M.; Schmeiser, C.; Markowich, P.A.; Borgna, J.P. |
| Filiación: | Faculty of Mathematics, University of Vienna, Nordbergstr. 15/ C717, 1090 Vienna, Austria Faculty of Mathematics, University of Vienna, Nordbergstr. 15/ C707, 1090 Vienna, Austria Institut für Mathematik, Universität Wien, Nordbergstr. 15, 1090 Vienna, Austria Departamento de Matematica, Universidad de Buenos Aires, Buenos Aires, Argentina |
| Palabras clave: | Fourier expansion; Gross-Pitaevskii equation; Hermite polynomials; Spectral decomposition |
| Año: | 2007 |
| Volumen: | 5 |
| Número: | 2 |
| Página de inicio: | 299 |
| Página de fin: | 312 |
| Título revista: | Communications in Mathematical Sciences |
| Título revista abreviado: | Commun. Math. Sci. |
| ISSN: | 15396746 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15396746_v5_n2_p299_Weishaupl |
Referencias:
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- W. Bao, P. A. Markowich, Ch. Schmeiser and R. M. Weishäupl, On the Gross-Pitaevskii equation with strongly anisotropic confinement, M3AS, 15(5), 767-782, 2005; Bao, W., Jaksch, D., Markowich, P.A., Numerical solution of the Gross-Pitaevskii equation for Bose-Einstein condensation (2003) J. Comput. Phys, 187, pp. 318-342
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- Lieb, E.H., Seiringer, R., Yngvason, J., One-dimensional behaviour of dilute, trapped Bose gases (2004) Comm. Math. Phys, 244 (2), pp. 347-393
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Citas:
---------- APA ----------
Weishäupl, R.M., Schmeiser, C., Markowich, P.A. & Borgna, J.P. (2007) . A Hermite pseudo-spectral method for solving systems of Gross-Pitaevskii equations. Communications in Mathematical Sciences, 5(2), 299-312.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15396746_v5_n2_p299_Weishaupl [ ]
---------- CHICAGO ----------
Weishäupl, R.M., Schmeiser, C., Markowich, P.A., Borgna, J.P. "A Hermite pseudo-spectral method for solving systems of Gross-Pitaevskii equations" . Communications in Mathematical Sciences 5, no. 2 (2007) : 299-312.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15396746_v5_n2_p299_Weishaupl [ ]
---------- MLA ----------
Weishäupl, R.M., Schmeiser, C., Markowich, P.A., Borgna, J.P. "A Hermite pseudo-spectral method for solving systems of Gross-Pitaevskii equations" . Communications in Mathematical Sciences, vol. 5, no. 2, 2007, pp. 299-312.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15396746_v5_n2_p299_Weishaupl [ ]
---------- VANCOUVER ----------
Weishäupl, R.M., Schmeiser, C., Markowich, P.A., Borgna, J.P. A Hermite pseudo-spectral method for solving systems of Gross-Pitaevskii equations. Commun. Math. Sci. 2007;5(2):299-312.Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15396746_v5_n2_p299_Weishaupl [ ]
