A spectral-Galerkin continuation method using Chebyshev polynomials for the numerical solutions of the Gross-Pitaevskii equation (Q629551)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A spectral-Galerkin continuation method using Chebyshev polynomials for the numerical solutions of the Gross-Pitaevskii equation |
scientific article; zbMATH DE number 5863173
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A spectral-Galerkin continuation method using Chebyshev polynomials for the numerical solutions of the Gross-Pitaevskii equation |
scientific article; zbMATH DE number 5863173 |
Statements
A spectral-Galerkin continuation method using Chebyshev polynomials for the numerical solutions of the Gross-Pitaevskii equation (English)
0 references
9 March 2011
0 references
An efficient spectral-Galerkin continuation method for numerical solution of the Gross-Pitaevskii equation (GPE) in a square-shaped domain are presented. The basic formulas are derived by utilizing certain easily computed eigenvalue problems. The standard potential (parabolic or quadruple-well) is perturbed by sine or cosine functions. The main goal is to investigate the ground and first excited-state solutions of the GPE. A large number of numerical experiments that illustrate the developed methodology are provided and discussed.
0 references
spectral methods
0 references
Gross-Pitaevskii equation
0 references
symmetry breaking solutions
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
