A Hermite pseudo-spectral method for solving systems of Gross-Pitaevskii equations

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 comb...

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Guardado en:
Detalles Bibliográficos
Publicado: 2007
Materias:
Fourier expansion
Gross-Pitaevskii equation
Hermite polynomials
Spectral decomposition
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15396746_v5_n2_p299_Weishaupl
http://hdl.handle.net/20.500.12110/paper_15396746_v5_n2_p299_Weishaupl
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_15396746_v5_n2_p299_Weishaupl
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spelling paper:paper_15396746_v5_n2_p299_Weishaupl2023-06-08T16:21:04Z A Hermite pseudo-spectral method for solving systems of Gross-Pitaevskii equations Fourier expansion Gross-Pitaevskii equation Hermite polynomials Spectral decomposition 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. 2007 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15396746_v5_n2_p299_Weishaupl http://hdl.handle.net/20.500.12110/paper_15396746_v5_n2_p299_Weishaupl
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Fourier expansion
Gross-Pitaevskii equation
Hermite polynomials
Spectral decomposition
spellingShingle Fourier expansion
Gross-Pitaevskii equation
Hermite polynomials
Spectral decomposition
A Hermite pseudo-spectral method for solving systems of Gross-Pitaevskii equations
topic_facet Fourier expansion
Gross-Pitaevskii equation
Hermite polynomials
Spectral decomposition
description 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.
title A Hermite pseudo-spectral method for solving systems of Gross-Pitaevskii equations
title_short A Hermite pseudo-spectral method for solving systems of Gross-Pitaevskii equations
title_full A Hermite pseudo-spectral method for solving systems of Gross-Pitaevskii equations
title_fullStr A Hermite pseudo-spectral method for solving systems of Gross-Pitaevskii equations
title_full_unstemmed A Hermite pseudo-spectral method for solving systems of Gross-Pitaevskii equations
title_sort hermite pseudo-spectral method for solving systems of gross-pitaevskii equations
publishDate 2007
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15396746_v5_n2_p299_Weishaupl
http://hdl.handle.net/20.500.12110/paper_15396746_v5_n2_p299_Weishaupl
_version_ 1768545896336719872

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